Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
The table shows the numbers of black, white, and blue cars sold by a
dealership over the past two years.
Last year
This year
Black
190
220
White
210
193
Blue
85
96
Which matrix represents the data from the table?
What is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0, 7), (1, 8)} d. {(-2, 0), (4, 0)}
The solution set of the equation is (0, 7)(-1, 6)
y = x² + 2x + 7
y = x + 7
How to find the solution of an equation sets?
y = x² + 2x + 7
y = x + 7
x² + 2x + 7 = x + 7
x² + 2x - x + 7 - 7 = 0
x² + x = 0
x(x + 1) = 0
Therefore,
x = 0 and x = -1
Substitute the value in equation(ii)
when x = 0
y = x + 7
y = 0 + 7
y = 7
when x = -1
y = -1 +7
y = 6
Therefore, the solution set are (0, 7)(-1, 6)
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Can someone help please
Answer:
The answer is 2 -option b
Answer:
B) 2
6²(6 × 6) = 36
PLEASE HELP WILL GIVE BRAINLIEST!
Evaluate for f(6), show all your work: f(x)=x^2-4
Answer: 32
Step-by-step explanation:
f(6) = 6^2-4 = 36-4 = 32
The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Are there any outliers?
No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.
Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
What is an outlier?In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.
If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
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If there are 12 crayons in each box, how many crayons are
there in 1 1/2 boxes?
Gold can undergo transmutation. superscript 185 subscript 79 baseline upper a u right arrow superscript 181 subscript 77 baseline upper i r superscript 4 subscript 2 baseline upper h e this type of nuclear decay is called .
The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.
What are the characteristics of Alpha Decay?An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).
It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.
Alpha Decay is usually trigged for two key reasons:
An unstable nucleus; andexcessive protons.Learn more about Alpha Decay at:
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thera are 672 eggs in 6 identical boxes
a. How many eggs are in each box?
b. many eggs are edible if half of the eggs are bad?
Answer:
112 are in each box
336 are edible
Step-by-step explanation:
672÷6= 112
672÷2= 336
Find the nth term of the following sequence:
5, 20, 45, 80, 125
Answer:
So, 5, 20, 45, 80,...5N2
Step-by-step explanation:
Divide the sequence by 5 and the answer becomes very obvious:
EX: 1, 4, 9, 16,...N2
please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need the scale factor and the ratio of the perimeters!
Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=k=8/9
Find the values of x and y.
Answer: x=60°, y=60°
Step-by-step explanation:
because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
in the pic
4√18 using Prime Factorization
For the given number is 4√18 .The Prime factorization would be 4√18 = 2 x 2 x √2 x √3 x √3.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
For the given number is 4√18
Prime factorization
4√18 = 2 x 2 x √2 x √3 x √3
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On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
Answer:
To graph the inequality
y < 2x - 5
we graph the dashed boundary line y=2x-5 with a positive slope of 2 and y-intercept (0,-5) and shade everything to the right.
To graph the inequality y>-3x+1, we graph the dashed boundary line y=-3x +1 with y-intercept (0,1) and shade every above it.
The intersection of the two shadings is the solution to the system of inequalities:
y < 2x - 5
and
y > -3x + 1
what is Standard units?
Answer:
a standard unit is a fixed value this value cannot be changed.
Step-by-step explanation:
it’s a fixed value that can’t be changed.
Standard unit is a unit of measurement that is accepted by the world as a universal unit of measurement that cannot be changed
who can help me finish a course on edge ive done half of the course already its algebra !!
Sure, post the questions.
Which equation represents the parabola shown on the graph?
O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y
The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
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At the beginning of the year, Cassandra talks to her cousin about a $1000 loan which she will repay after she graduates from college. On December 31st, her cousin will add 12% interest to the balance of the loan outstanding. If Cassandra makes no payments on the loan until she graduates, which equation shows the loan balance b after n years?
Using an exponential function, it is found that the loan balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that:
She took a $1,000 loan, hence A(0) = 1000.The interest rate is of r = 0.12.Hence the balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
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Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.
Answer:
1) 1, 2) 3, 3) 2, 4) 4Step-by-step explanation:
Solve the inequalities and match with the graphs
1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 12) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 33) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 24) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4Answer:
7x < 42
x + 1 < 8
3x > 15
2x > 12
Step-by-step explanation:
> means "more than" (shading to the right)
< means "less than" (shading to the left)
Solve the given inequalities
7x < 42
⇒ 7x ÷ 7 < 42 ÷ 7
⇒ x < 6
An open circle on 6, shading to the left
3x > 15
⇒ 3x ÷ 3 > 15 ÷ 3
⇒ x > 5
An open circle on 5, shading to the right
x + 1 < 8
⇒ x + 1 - 1 < 8 - 1
⇒ x < 7
An open circle on 7, shading to the left
2x > 12
⇒ 2x ÷ 2 > 12 ÷ 2
⇒ x > 6
An open circle on 6, shading to the right
3/8 of Shiva's weekly allowance is $150. He spent half of his allowance on food. a.How much money did he spend on food.
b.how much money did he remain with
Answer:
He spent 200$ on food and remained with 200$
Step-by-step explanation:
150/3 = 50
50 * 8 = 400
400/2= 200
400- 200= 200
A frog wants to cross a stream. The stream is two metres wide. On every jump, Frog covers one-third metre distance. In how many jumps will Frog reach from rock A to rock B?
1/3 of 2 meters = 66.668 x 3 = 200.004
What is the product of (4y - 5) (3y - 7)?
Answer
(12y-35)
(4yx3y-5x7)
Answer:
12y² - 43y + 35
Step-by-step explanation:
Multiply each term of the first binomial by each term of the second binomial. Then combine like terms.
(4y - 5)(3y - 7) =
= 4y × 3y + 4y × (-7) + (-5) × 3y + (-5) × (-7)
= 12y² - 28y - 15y + 35
= 12y² - 43y + 35
jacob has 96 books to stack on library shelves. each half can hold 9 books.how many shelves will he need to stack all his books
Answer:
11 shelves.
Divide 96 by 9
96 ÷ 9 = 10.6
Since 10.6 rounds to 11, and it is more than 10, we will need 11 shelves to store the books, since there is no such thing as a half-bookshelf here.
what is 24 x 24x 25 x 710.
Answer:
24 x 24 x 25 x 710 = 10,224,000
Step-by-step explanation:
24 x 24 = 576
576 x 25 = 14, 400
14,400 x 710 = 10,224,000
lo que da en total= 10,224,000
Answer:
10224000 i used a calculator
Step-by-step explanation:
Maria can stack a pile of wood in 20 minutes, and
alex can stack the same pile of wood in 12 minutes.
how long will it take them both working together
to stack the same pile of wood?
Answer:
7.5 minutes
Step-by-step explanation:
The stacking rate working together is assumed to be the sum of the separate stacking rates. The rates are given in terms of minutes per pile, but we need to do the computation with rates in terms of piles per minute.
__
total rate = Maria's rate + Alex's rate
= 1/20 piles/min + 1/12 piles/min = (12 +20)/(20·12) piles/min
= 32/240 piles/min = 2/15 piles/min
Then the rate in terms of minutes per pile is ...
1/(2/15 piles/min) = 15/2 min/pile = 7.5 min/pile
When both work together, it will take them 7.5 minutes to stack a pile of wood.
the nearest known exoplanet from earth is 4.25 light years away .how many km is this? give your answer in standard form
Answer:
4.021 × 10¹³ km
Step-by-step explanation:
The conversion factor of light years to km is;
1 light year = 9.461 × 10¹² km
Thus;
4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km
The net of a cone is composed of a circle and a
triangle
wedge
triangle
Answer:
I would say triangle. But I am not completely sure!
Step-by-step explanation:
Hope this helps!
Answer:Triangle
Step-by-step explanation:
Work out
m
and
c
for the line:
y
=
x
+
4
Answer:
m = 1
c = 4
Step-by-step explanation:
First let's review what a slope-intercept form is.
Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:
[tex]y = mx + c[/tex],
where m is the slope and c is the y-intercept.
You can easily read slope (m) and intercept (c) in your equation.
[tex]y = mx + c\\y = x + 4[/tex]
You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.
So:
[tex]m = 1\\c = 4[/tex]
1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?
Answer:
4
Step-by-step explanation:
Mean (Average) 5
Median 4
Range 9
Mode 2, appeared 2 times
Geometric Mean 3.8971508839086
Largest 10
Smallest 1
Sum 45
Count 9
Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10
PLS HELP ILL MARK U BRAINLIST
Answer:
x = 17 degrees y = 3 units
Step-by-step explanation:
Since angle F and E are equal, sides DE and DF are equal and you now have an equilateral triangle
each angle is 60 degrees so 4x - 8 = 60 shows x = 17
since the sides are equal : 8y-3 = 6y+3 shows y = 3
Answer:
x = 17 , y = 4
Step-by-step explanation:
since EF and DF are congruent , then
8y - 5 = 6y + 3 ( subtract 6y from both sides )
2y - 5 = 3 ( add 5 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
--------
the triangle has 3 congruent angles , then
3(4x - 8) = 180 ( divide both sides by 3 )
4x - 8 = 60 ( add 8 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17