Answer: B
Step-by-step explanation:
Assuming we mean biconditional statements. A biconditional must always be true. B is the only answer choice were both p and q are true. A young cow is a calf, and calfs are cows. Hope this helps!
Doughnuts are sold in bags and bags and doughnuts. a bag holds 10 doughnuts and a carton holds 10 doughnuts. tom buys b bags of doughnuts and c cartons of doughnuts he buys a total of t doughnuts write down a formula for t in terms of b and c
Answer:
t = 10b + 10c
Step-by-step explanation:
As stated in the problem, 1 bag holds 10 doughnuts so that give us 10b since we don't know how many bags were bought/sold but we do know how many comes in each. Same goes for cartons.
Were asked to write a formula for t, and since we don't know how many bags(b) or cartons(c) were sold, our t remains t.
Two thirds of. The shirts in a tee shirt shop are blue three sevenths are on sale one half are size medium
The fraction of the blue T-shirts that are on sale and are size medium are 1/7.
What is fraction ?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Of all the shirts in the shop , 2/3 of the t-shirts are blue.
Of the blue shirts, 3/7 are on sale.
= 2/3 x 3/7
= 2/7
Out of all the shirts, 2/7 shirts are blue and are on sale.
Of the blue shirts on sale, 1/2 are size medium.
= 2/7 x 1/2
= 1/7
The fraction of the blue T-shirts that are on sale and are size medium are 1/7.
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Write -1.111... as a mixed number in simplest form.
Answer:
The answer is -10/9
Step-by-step explanation:
10*x=(-1.111...*10 .) second equation
10x=-11.111....
subtruct second equation from the first equation
10x=10*-11.111.
-
x=-1.1111.
9x=10
x=10/9
How do you write 0.133333... as a fraction
The expression of the number 0.133333 as a fraction would give us 133333/1000000.
What is a fraction?Let us recall that the term fraction is used to show that there is a top and a bottom part in the expression. The top part of the fraction is called the numerator while the bottom part of the fraction is called the denominator.
If we want to convert the fraction as we have it back to the decimal then we just have to divide the numerator by the denominator and we are back to the decimal. The decimal is marked by the presence of a decimal point.
To convert 0.133333 to fraction, we would take the decimal point as 1 and all other digits after it as zero thus we have;
133333/1000000.
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Simplify.
9u - 4u = ?
Answer:
5u
Step-by-step explanation:
9-4=5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{9u - 4u}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{= (9u - 4u})\\\mathsf{= 9u - 4u}\\\mathsf{= 5u}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{\mathsf{5u}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
5/6 of number is 30. Find the number.
Answer:
36.
Step-by-step explanation:
I get this answer as I know 30 is divisible by six, so I start to investigate by how much It is divisible by.
30 / 6 = 5
Since I now know that, I can infer that 6x6 is 36.
And since 30 would give you 5/6, I imagine the answer is 36.
A grocery store clerk can scan 1 product every
1
2
of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
The rate at which the grocery store clerk can scan products is 2 products per second.
What is the rate?Rate is the speed at which an activity can be carried out. Rate can be determined by dividing the total products that are bagged by the time it takes to bag the product.
Division is used to determine the product of two or more numbers. The sign that represent division is ÷. Division is a mathematical operations. Other mathematical operations include addition, subtraction and multiplication. Division entails grouping a number into equal groups using another number.
Rate = number of products ÷ time
1 ÷ 1/2
1 x 2 = 2 products per second
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Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 80 mmhg and a standard deviation of 11 mmhg. using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are greater than 102 mmhg
Answer:
95% of adult males have diastolic blood pressure readings that are at least 102 mmHg
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 80 mmHg and the standard deviation is 11 mmHg.
2 standard deviations = 2 × 11= 22
80+ 22= 102 mmHg
Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.
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Work out the surface area of the solid
cuboid.
7m
6m
3m
The surface area of the solid cuboid 7m 6m and 3m. total surface area of cuboid is 162 [tex]m^{2}[/tex].
What is a cuboid?A cuboid is a six-sided solid known as a hexahedron in the geometry. Quadrilaterals make up its faces. Cuboid implies "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces. A cuboid is a convex polyhedron with the same polyhedral graph as a cube in mathematics.
A cube with six square faces, a rectangular prism, rectangular cuboid, or a rectangular box with six rectangle faces are special situations. In both circumstances, the faces of the cube and the rectangular prism come together at a right angle.
total surface area of cuboid
= 2(lb+bl+lh)
=2(7×6+6×3+3×7)
=2(81)
=162 [tex]m^{2}[/tex]
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-5/9 multiplied by (-4)
Answer:
Step-by-step explanation:
-5/9* -4 = 20/9
Answer=20/9
When you multiply them, there is nothing to simplify in any of them. So when you multiply, the negatives become a positive because -*- is + so the answer is 20/9.
Rosa has $254. She pays $7 for breakfast each day and $13 for lunch each day. If Rosa
does not spend money on anything else or receive any additional money, how many
days can she continue to buy breakfast and lunch?
The number of days that Rosa can continue to buy breakfast and lunch with the money is; 12 days
How to solve algebra Word problems?We are given the following parameters;
Amount held by Rosa = $254
Amount per breakfast = $7
Amount per Lunch = $13
Thus;
Amount spent each day = $7 + $13
Amount spent each day = $20
Now, to find out how many days this money can last her if she doesn't get any more income is;
Number of days = 254/20 = 12 days with $14 left
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what is the answer to
32z-48 using factoring
The answer to 32z - 48 using factoring is 3/2.
Given,
32z - 48
We have to find the answer using factoring:
Factoring:
Finding things to multiply together to produce an expression is known as factoring. It is comparable to splitting an expression into numerous smaller expressions.
Here,
32z - 48 = 0
Add 48 to both sides
32z - 48 + 48 = 0 + 48
32z = 48
Divide 32 on both sides
32z/32 = 48/32
z = 48/32
Now, we can factorize 48/32
Take 2 as common factor
(48/2) / (32/2) = 24/16
Again, take 2 as common factor
(24/2) / (16/2) = 12/8
Now, take 4 as common factor
(12/4) / (8/4) = 3/2
Here, z = 3/2
That is, the answer for 32z - 48 using factoring is 3/2.
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358 |-14| how do I do this
on a multiple choice test with six possible answers for each question, what is the probability of answering a question correctly if you make a random guess?
Answer:
17%
Step-by-step explanation:
Hello!
Out of the 6 options, only 1 option will be correct. This can be represented as a ratio of 1:6.
If you randomly guess, there is an equal chance of choosing any of the 6 options.
To find the percentage of guessing the correct option, simply divide 1 by 6 (1 option is correct out of 6), and multiply the outcome by 100 (for percentage).
1:6 = 1/61/6 = 0.16666..... ≈ 0.170.17 * 100 = 17%The probability of getting an answer correct would be 17%.
The probability of getting an answer wrong would be 83%, which can be found by subtracting 17% from 100%.
I'm so confused. I can't do word problems.
Based on the population density of the area in 1980 and the area, the population in 1980 was 807,750 people
How to find the population?The population density of an area is based on the population of the area and the area. The formula is:
Population density = Population of area / Surface area
Given that the surface area is 750 square miles and the population density in 1980 was 750 square miles, the population of the area can be found by the formula:
Population in 1980 = Population density in 1980 x surface area
Population in 1980 = 1,077 x 750
= 807,750 people
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Number 9 and 10 I’m stuck.
9:
By taking the quotient between the total debt and what they earn in a sold-out show, we conclude that they need to sell a total of 7 sold-out shows.
10:
A discount of 30%. Correct option is B.
How many sold-out shows they need to cover the loan?Answering part 9:
We know that they asked for a loan of $8,000, such that an interest of the 6% is applied to this, so the total amount that they need to return is:
$8,000*(1 + 6%/100%) = $8,000*(1.06) = $8,480
Now we know that the theater has 150 seats, and each ticket costs $8.50, so for every sold-out show they earn a total of:
T = 150*$8.50 = $1,275
Then the number of sold-out shows that they need is given by the quotient:
$8,480/$1,275 = 6.65
Rounding to the next whole number we get to 7. To cover the debt, they need to sell a total of 7 sold-out shows.
10. The original price is $180 and she pays $126, then the discount k is:
$180*k = $126
k = $126/$180 = 0.7
and 1 - 0.7 = 0.3
So the discount is of the 30%.
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help!
Q. in a supermarket , five chicken cost 18.25 . what is the cost of one chicken ?
Answer:
each chicken cost 3.65
Step-by-step explanation:
divide 18.25 by 5 and you'll get 3.65
7x^4 +1
The expression represents a___
polynomial with __ terms .
The constant term is __, the leading terms is __, and the leading coefficient is __.
the answer is 29 hope this helps
is 6 a significantly high number of girls in 8 births? why or why not? use 0.05 as the threshold for a significant event. a. yes, since the appropriate probability is greater than 0.05, it is a significantly high number. b. yes, since the appropriate probability is less than 0.05, it is a significantly high number. c. no, since the appropriate probability is greater than 0.05, it is not a significantly high number. d. no, since the appropriate probability is less than 0.05, it is not a significantly high number.
We can conclude that (A) "Yes since the appropriate probability is greater than 0.05, it is a significantly high numbe"r is the correct reason for the question.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The four most popular approaches to probability are classical, empirical, subjective, and axiomatic.So,
Number of Girls x
P(x)
(0)
0.003(1)
0.021(2)
0.118(3)
0.208(4)
0.300(5)
0.208(6)
0.118(7)
0.021(8)
0.003Results from groups of 8 births from 8 different parent sets are shown in the accompanying table.
The proportion of girls among the 8 children is represented by the random variable x. It is a significantly high number because the appropriate probability is higher than 0.05, so yes.Therefore, (A) "yes, since the appropriate probability is greater than 0.05, it is a significantly high number" is the correct reason for the question.
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helpe3 meeeeeeeeeeeeeee please
Lines through the given points are as follow:
a. Line1 is perpendicular to line2.
b. Line1 is neither perpendicular nor parallel to line2.
c. Line1 is parallel to line2.
As given in the question,
Slopes of the lines through the given points are as follow:
Let m₁ and m₂ be the slope of line1 and line2 respectively.
a. Line1 ( 2,-3) , (-4, -6) and Line2 (-3,2) , (2,-8)
m₁=(-6+3)/ (-4-2)
=1/2
m₂=(-8-2)/ (2+3)
=-2
m₁ × m₂ = -1
Line1 and line2 are perpendicular.
b. Line1(-4, -5) , (4,1) and line2 (6,10) , (-3,-2)
m₁=(1+5)/ (4+4)
=3/4
m₂=(-2-10)/ (-3-6)
=4/3
m₁ × m₂=1
Line1 and line2 are neither perpendicular nor parallel .
c. Line1 (0,-4) , (-2,-8) and line2 (-1,5), (1,9)
m₁=(-8+4)/ (-2-0)
=2
m₂=(9-5)/ (1+1)
=2
m₁=m₂
Line1 and line2 are parallel
Therefore, lines through the given points are as follow:
a. Line1 is perpendicular to line2.
b. Line1 is neither perpendicular nor parallel to line2.
c. Line1 is parallel to line2.
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John put 14,000 Euros in an account at a simple interest rate of 1% per year. How much interest will he get after 12 year?
The amount of interest John will get after 12 years given his savings and interest rate is 1,680 Euros
How to find simple interest?Simple interest is a type of interest rate paid only on principal. It is called by multiplying principal by interest rate by time.
Principal, P = 14,000 EurosRate, r = 1% = 0.01Time, t = 12 yearsSimple interest = principal × rate × time
= 14,000 × 0.01 × 12
= 1,680 Euros
In conclusion, given John's savings and interest rate, he'll earn 1,680 Euros as interest after 12 years.
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A fair die is rolled seven times. What is the probability that it comes up 2 at least once? Write your answer as a fraction or a decimal, rounded to four decimal
places.
The probability of getting 2 at least once is 1/6.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.So, the probability of getting a 2 at least once:
The sample space will be (refer to the image attached below).Formula of probability: P = favourable events/total events
At least once, we need to get 2 and a maximum of 7.So, favorable events = 7, and the total number of events will be 6×7 = 42.Now, substitute the values in the formula as follows:
P = 7/42P = 1/6Therefore, the probability of getting 2 at least once is 1/6.
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I took a quiz about a week ago as of posting this and I found that this question was hard for me to answer I was wondering how I could find an easier way to solve this besides doing a long equation for scale factors. I am only here to learn so any answers to this are great.
Answer:
d(-6,-9),e(3,-9),f(3,-3),g(-6,-3
Step-by-step explanation:
first you look at the location of the point and follow in the direction of which number it is on the X line, then in the direction of which number it is on the Y line and in the parentheses of the coordinates, first write the number from the X line, then from the Y line
ps: I hope I helped you a bit :)
The cube of the sum of a number and 3
The expression for the cube of the sum of a number and 3 is (x+3)³
What are algebraic expressions?Algebraic expressions are simply defined as arithmetic expressions made up of variables, terms, coefficients, factors and constants
They may also be known to consist of certain mathematical operations, such as;
ParenthesesAdditionSubtractionDivisionBracketMultiplication, etcBased on the information given, we have;
cube of the sum of a number and 3
Let the number be x
We have the expression to be;
x + 3
Find the cube
(x+3)³
Hence, the expression is (x+3)³
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The complete question is;
Write the expression for The cube of the sum of a number and 3
At what rates percent compound interest will Rs2000 amount to Rs 2420 in 2 years.
The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
What is compound interest?The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
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hi can someone help me here
Answer:
see explanation
Step-by-step explanation:
[tex]\frac{x+2}{3}[/tex] - [tex]\frac{2x-4}{2}[/tex] = 0
multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(x + 2) - 3(2x - 4) = 0 ← distribute parenthesis on left side and simplify
2x + 4 - 6x + 12 = 0
- 4x + 16 = 0 ( subtract 16 from both sides )
- 4x = - 16 ( divide both sides by - 4 )
x = 4
------------------------------------------------------------
[tex]\frac{5x}{2}[/tex] + [tex]\frac{x-2}{8}[/tex] = 2 ( multiply through by 8 to clear the fractions )
4(5x) + x - 2 = 16
20x + x - 2 = 16
21x - 2 = 16 ( add 2 to both sides )
21x = 18 ( divide both sides by 21 )
x = [tex]\frac{18}{21}[/tex] = [tex]\frac{6}{7}[/tex]
-----------------------------------------------------------
[tex]\frac{x-5}{4}[/tex] - [tex]\frac{3x-1}{5}[/tex] = - [tex]\frac{3}{2}[/tex]
multiply through by 20 ( the LCM of 4, 5, 2 ) to clear the fractions
5(x - 5) - 4(3x - 1) = - 30 ← distribute parenthesis on left side and simplify
5x - 25 - 12x + 4 = - 30
- 7x - 21 = - 30 ( add 21 to both sides )
- 7x = - 9 ( divide both sides by - 7 )
x = [tex]\frac{9}{7}[/tex]
-------------------------------------------------------------
[tex]\frac{1}{x-1}[/tex] + [tex]\frac{1}{x+1}[/tex] = [tex]\frac{4x+2}{x^2-1}[/tex] ← x² - 1 is a difference of squares , then
[tex]\frac{1}{x-1}[/tex] + [tex]\frac{1}{x+1}[/tex] = [tex]\frac{4x+2}{(x-1)(x+1)}[/tex]
multiply through by (x - 1)(x + 1) to clear the fractions
x + 1 + x - 1 = 4x + 2
2x = 4x + 2 ( subtract 4x from both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
If we substitute this value back into the original equation, we find
[tex]\frac{1}{-1-1}[/tex] + [tex]\frac{1}{-1+1}[/tex] = [tex]\frac{4(-1)+2}{(-1)^2-1}[/tex]
[tex]\frac{1}{-2}[/tex] + [tex]\frac{1}{0}[/tex] = [tex]\frac{-2}{1-1}[/tex]
[tex]\frac{1}{-2}[/tex] + [tex]\frac{1}{0}[/tex] = [tex]\frac{-2}{0}[/tex]
division by zero is undefined
thus x = - 1 is an extraneous solution
the equation has no solution
Answer:
[tex]\textsf{1.} \quad x=4[/tex]
[tex]\textsf{2.} \quad x=\dfrac{6}{7}[/tex]
[tex]\textsf{3.} \quad x=\dfrac{9}{7}[/tex]
[tex]\textsf{4.} \quad \textsf{No solution}[/tex]
Step-by-step explanation:
Question 1Given equation:
[tex]\dfrac{x+2}{3}-\dfrac{2x-4}{2}=0[/tex]
[tex]\textsf{Add \; $\dfrac{2x-4}{2}$ \; to both sides of the equation}:[/tex]
[tex]\implies \dfrac{x+2}{3}-\dfrac{2x-4}{2}+\dfrac{2x-4}{2}=0+\dfrac{2x-4}{2}[/tex]
[tex]\implies \dfrac{x+2}{3}=\dfrac{2x-4}{2}[/tex]
Cross multiply:
[tex]\implies 2(x+2)=3(2x-4)[/tex]
[tex]\implies 2x+4=6x-12[/tex]
Subtract 2x from both sides:
[tex]\implies 2x+4-2x=6x-12-2x[/tex]
[tex]\implies 4=4x-12[/tex]
Add 12 to both sides:
[tex]\implies 4+12=4x-12+12[/tex]
[tex]\implies 16=4x[/tex]
[tex]\implies 4x=16[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{16}{4}[/tex]
[tex]\implies x=4[/tex]
--------------------------------------------------------------------------
Question 2Given equation:
[tex]\dfrac{5x}{2}+\dfrac{x-2}{8}=2[/tex]
Multiply the numerator and denominator of the first fraction by 4:
[tex]\implies \dfrac{5x \cdot 4}{2\cdot 4}+\dfrac{x-2}{8}=2[/tex]
[tex]\implies \dfrac{20x}{8}+\dfrac{x-2}{8}=2[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]
[tex]\implies \dfrac{20x+x-2}{8}=2[/tex]
[tex]\implies \dfrac{21x-2}{8}=2[/tex]
Multiply both sides by 8:
[tex]\implies \dfrac{(21x-2) \cdot 8}{8}=2 \cdot 8[/tex]
[tex]\implies 21x-2=16[/tex]
Add 2 to both sides:
[tex]\implies 21x-2+2=16+2[/tex]
[tex]\implies 21x=18[/tex]
Divide both sides by 21:
[tex]\implies \dfrac{21x}{21}=\dfrac{18}{21}[/tex]
[tex]\implies x=\dfrac{18}{21}[/tex]
Reduce the fraction by dividing the numerator and denominator by 3:
[tex]\implies x=\dfrac{18 \div 3}{21 \div 3}[/tex]
[tex]\implies x=\dfrac{6}{7}[/tex]
--------------------------------------------------------------------------
Question 3Given equation:
[tex]\dfrac{x-5}{4}-\dfrac{3x-1}{5}=-\dfrac{3}{2}[/tex]
Multiply the numerator and denominator of the first fraction by 5, and the numerator and denominator of the second fraction by 4:
[tex]\implies \dfrac{(x-5) \cdot 5}{4\cdot 5}-\dfrac{(3x-1)\cdot 4}{5\cdot 4}=-\dfrac{3}{2}[/tex]
[tex]\implies \dfrac{5x-25}{20}-\dfrac{12x-4}{20}=-\dfrac{3}{2}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\implies \dfrac{5x-25-(12x-4)}{20}=-\dfrac{3}{2}[/tex]
[tex]\implies \dfrac{5x-25-12x+4}{20}=-\dfrac{3}{2}[/tex]
[tex]\implies \dfrac{-7x-21}{20}=-\dfrac{3}{2}[/tex]
Cross multiply:
[tex]\implies 2(-7x-21)=-3(20)[/tex]
[tex]\implies -14x-42=-60[/tex]
Add 42 to both sides:
[tex]\implies -14x-42+42=-60+42[/tex]
[tex]\implies -14x=-18[/tex]
Divide both sides by -14:
[tex]\implies \dfrac{-14x}{-14}=\dfrac{-18}{-14}[/tex]
[tex]\implies x=\dfrac{18}{14}[/tex]
Reduce the fraction by dividing the numerator and denominator by 2:
[tex]\implies x=\dfrac{18 \div 2}{14 \div 2}[/tex]
[tex]\implies x=\dfrac{9}{7}[/tex]
--------------------------------------------------------------------------
Question 4Given equation:
[tex]\dfrac{1}{x-1}+\dfrac{1}{x+1}=\dfrac{4x+2}{x^2-1}[/tex]
Factor the denominator of the fraction on the right side of the equation:
[tex]\implies \dfrac{1}{x-1}+\dfrac{1}{x+1}=\dfrac{4x+2}{(x+1)(x-1)}[/tex]
Multiply the numerator and denominator of the first fraction by (x+1), and the numerator and denominator of the second fraction by (x-1):
[tex]\implies \dfrac{x+1}{(x+1)(x-1)}+\dfrac{x-1}{(x+1)(x-1)}=\dfrac{4x+2}{(x+1)(x-1)}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]
[tex]\implies \dfrac{x+1+x-1}{(x+1)(x-1)}=\dfrac{4x+2}{(x+1)(x-1)}[/tex]
[tex]\implies \dfrac{2x}{(x+1)(x-1)}=\dfrac{4x+2}{(x+1)(x-1)}[/tex]
Multiply both sides by (x+1)(x-1):
[tex]\implies \dfrac{2x(x+1)(x-1)}{(x+1)(x-1)}=\dfrac{(4x+2)((x+1)(x-1)}{(x+1)(x-1)}[/tex]
[tex]\implies 2x=4x+2[/tex]
Subtract 4x from both sides:
[tex]\implies 2x-4x=4x+2-4x[/tex]
[tex]\implies -2x=2[/tex]
Divide both sides by -2:
[tex]\implies \dfrac{-2x}{-2}=\dfrac{2}{-2}[/tex]
[tex]\implies x=-1[/tex]
However, if we substitute x = -1 into the original equation we get:
[tex]\implies \dfrac{1}{(-1)-1}+\dfrac{1}{(-1)+1}=\dfrac{4(-1)+2}{(-1)^2-1}[/tex]
[tex]\implies -\dfrac{1}{2}+\dfrac{1}{0}=\dfrac{-2}{0}[/tex]
A number divided by zero is undefined. Therefore, there is no solution for this equation.
there is a line that includes the point (–2, 6) and has a slope of 2 What is its equation in slope-intercept form?
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-2)}) \implies y -6= 2 (x +2) \\\\\\ y-6=2x+4\implies {\Large \begin{array}{llll} y=2x+10 \end{array}}[/tex]
Complete the statement to describe the expression 4.4.4.
You can write the expression as a power, using
as the exponent.
?
PLEASE HELP!! thank you!
Answer:
Step-by-step explanation:
36=p*60
36/60=(p*60)/60
p=0.6 or 60%
60%
Pls brainliest
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