Answer:
[tex]68y-42[/tex]Explanation:
Here, we want to rewrite the given expression
What we have to do is to start by opening up the bracket
To do this, we have to multiply the term on the left with each term inside the bracket
Then we collect the like terms and perform the necessary arithmetic operation
We have this as follows:
[tex]\begin{gathered} \text{ =7(11y-6)-9y} \\ =\text{ 77y-42-9y} \\ =\text{ 77y-9y-42} \\ =\text{ 68y-42} \end{gathered}[/tex]Answer:
68y-42
Step-by-step explanation:
7(9y+2y-6)-9y
Find the expression in simplest terms
Combine like terms
7(11y-6)-9y
Distribute
77y -42-9y
Combine like terms
68y-42
Introduction: Drag the concepts more commonly associated with each type of economy to the correct column. More public property Command economies Mixed market economies More private property Greater chance for higher income Larger wealth gap Less chance for higher income Smaller wealth gap
Command Economies -More Public Property, Smaller Wealth Gap ,Less chance for higher income
Mixed Market Economies- Larger Wealth Gap, Greater chance for
higher income, More private property
What is Meant by Economy?Economy: An economy encompasses all of the activities related to the production, consumption, and trade of goods and services in an entity, whether the entity is a nation or a small town. No two economies are identical. Each is formed according to its own resources, culture, laws, history, and geography
Command Economies Mixed Market Economies
More Public Property Larger Wealth Gap
Smaller Wealth Gap Greater chance for higher income
Less chance for higher income More private property
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Answer:
in the picture
Step-by-step explanation:
Augustina has 2 posters with length x inches.
One poster has a width of x + 5 inches, and
the other has a width of x + 7 inches. Write an
expression to represent the area of wall that the
posters will cover.
Answer:
2x² + 12x
Step-by-step explanation:
Area of rectangle:Area of rectangle = length * width
Poster 1:
length = x inches
widht = (x + 5) inches
Area of poster 1 = x * (x + 5)
= x*x + x*5 {Distributive property}
= x² + 5x square inches
Poster 2:
length = x inches
width = (x + 7) inches
Area of poster =x *(x+ 7)
= x*x + x*7
= x² + 7x
Area of wall = area of poster1 + area of poster 2
= x²+ 5x + x² + 7x
= x² + x² + 5x + 7x {Combine like terms}
= 2x² + 12x
Answer:
[tex]2x^2+12x[/tex]
Step-by-step explanation:
Dimensions of Poster 1:
Length = x inchesWidth = (x + 5) inchesDimensions of Poster 2:
Length = x inchesWidth = (x + 7) inchesThe posters can be modeled as rectangles.
[tex]\boxed{\textsf{Area of a rectangle}=\sf length \times width}[/tex]
Therefore, the expressions for the area of each poster are:
[tex]\implies \textsf{Area of Poster 1}=x(x+5)[/tex]
[tex]\implies \textsf{Area of Poster 2}=x(x+7)[/tex]
Therefore, the expression that represents the area of the wall that the posters will cover is the sum of the expressions of the areas of the individual posters:
[tex]\begin{aligned}\textsf{Area of wall posters will cover}&=\textsf{Area of Poster 1}+\textsf{Area of Poster 2}\\& = x(x+5)+x(x+7)\\&=x^2+5x+x^2+7x\\&=x^2+x^2+5x+7x\\&=2x^2+12x\end{aligned}[/tex]
Question 1 of 25
f(x) = 2x³ + 7x²
g(x) = 3x - 2
Find (f - g)(x).
-
4x - 5
A. (f g)(x) = 2x³ +7x²-x-3
OB. (f-g)(x) = 2x³ + 7x² - 7x - 7
c. (f- g)(x) = 2x³ +7x² - 7x - 3
OD. (f-g)(x) = 2x³ +7x²-x-7
The answer of the given function is [tex](f-g)(x) = 2x^3+7x^2-7x-3[/tex]. So the answer is C option.
What does f(x) mean?
f(x) is a function that can be named to avoid repeatedly writing it out. The function's name is f, and we are providing the variable x to it.
And g(x) also has a similar meaning.
The given question is a quadratic equation problem.
Given: f(x)= 2x³+7x²-4x-5
And g(x)= 3x-2
To find: (f-g)(x) we have to simply subtract the above to equations
That is [tex](f-g)(x)[/tex] = 2x³+7x²-4x-5-(3x-2)
On opening the brackets we get;
[tex](f-g)(x)[/tex]= [tex]2x^3+7x^2-4x-5-3x+2[/tex]
[tex]= 2x^3+7x^2 -7x - 3[/tex] { here we subtracted and added the like terms together}.
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Please answer the two questions in the photo ( will mark brainliest if correct )
Find the value of x
(A) x= 135
(B) x= 25
(C) x= 35
(D) x= 90
Answer:
C) 35
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°. We also have a right angle which is 90°.
2x - 8 + 90 + x -7 = 180 Combine like terms
3x + 75 = 180 Subtract 75 from both sides
3x = 165 Divide both sides by 3
x = 35
Jamal hypothesized that when adding two unit fractions together, he can determine the numerator by adding the two denomimators together, thrn could find the new denominator by multiplying the old denominators together. Prove jamal correct. What are some drawbacjs of jamals shortcut?
Jamal is correct ( ½+⅓ =⅚), when he says that when adding two unit fractions, the numerator is found by adding the denominators, and the new denominator can be found by multiplying the previous denominators.
State what is denominator with example?A denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole. It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.
What is an illustration of a numerator?In a fraction, the number above the line is the numerator. For instance, the numerator of the fraction 3/5 is 3. A fraction's numerator displays the number of pieces that make up the whole while the denominator.
Adding 2 unit fractions example ½ and ⅓
By Jamal’s theory, 2+3=5
2*3=6
½+⅓ =⅚
Hence the theory is proved right.
Drawbacks of Jamal’s Shortcut,
It is only for the unit fraction and not for any other type of fractions.
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which expression has a value of 3/4?
Answer:
6/8
Step-by-step explanation:
3/4 if we further multiply we get 6/8
19.7 as a mixed number
19.7 as a mixed number is [tex]19\frac{7}{10}[/tex].
How can a decimal be changed into a mixed number?Discover the place value of the decimal portion to change a decimal into a mixed number. The place value serves as the fraction's denominator, and the decimal portion serves as its numerator. Write the complete number first, then convert the decimal to a fraction by positioning the decimal part over the place value.Given:
Decimal number = 19.7
To convert it to a mixed number,
Remove the decimal point and add 10 in the denominator as it has one number after the decimal point.
19.7 = 197/ 10
Now divide and write it into a mixed fraction form,
= [tex]19\frac{7}{10}[/tex]
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Mason has a giant oak tree in his front yard. It has 9^3 leaves on the tree. all the leaves fall, and Mason rakes 9 piles of leaves with equal number of leaves in each pile. How many leaves are in each pile?
Hellppp
Which describes the graph of y = −(x + 6)2 + 6?
A.Minimum at (6, 6)
B.Maximum at (−6, 6)
C.Maximum at (6, 6)
D.Minimum at (−6, 6)
£N is shared between three people in the ratio 2:3:7 The largest share is £540 more than the smallest share. Calculate the value of N.
If £N is shared between three people in the ratio 2:3:7 The largest share is £540 more than the smallest share. the value of N is 1296.
Value of NLet x represent the sharing unit
Hence,
2x :3x :7x
so
7x = 2x + 540
7x - 2x = 540
5x =540
Divide both side by 5x
x = 540/5
x = 108
Sharing unit
2x = 2 ×108
= 216
3x = 3 × 108
= 324
7x = 7 × 108
= 756
Value of N = 216 + 324 +756
Value of N = 1296
Therefore we can conclude that the value of N is 1296.
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IUITUI Rauuild Ivoiribers Select the number line that shows that two opposite numbers have a sum of 0. 5 O A. -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 2 OB. + 8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 6 11 C. -8 -7 -6.-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 O D. PREVIOUS
It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.
The correct number line must have its final position on zero.
Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.
Therefore, the answer is A.Write and solve multiplication equations
We need to solve the s varibale for the given equation:
[tex]\begin{gathered} s-12=20 \\ Add\text{ both sides 12} \\ s-12+12=20+12 \\ s=32 \end{gathered}[/tex]Hence, s=32
A combination lock uses numbers between 1 and with repetition, and they must be selected in the correct sequence. Is the name of combination lock appropriate? why or why not?.
No, the combination lock is not appropriate. This is so as the repetition is allowed, neither permutation nor the combination rule holds true or valid.
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please help me figure out this problem i don’t know if i did it right
Answer:
Explanation:
Given:
[tex]\cos x\text{ =}\frac{\sqrt[]{15}}{4}[/tex]We must remember that:
[tex]\cos (2x)=2\cos ^2x-1[/tex]Since the value of cos x is given, we plug in the value into 2cos^2x-1. So,
[tex]\begin{gathered} 2\cos ^2x-1 \\ =2(\frac{\sqrt[]{15}}{4})^2-1 \\ \text{Simplify} \\ =2(\frac{15}{16})-1 \\ \text{Calculate} \\ =\frac{7}{8} \end{gathered}[/tex]Therefore, the exact value of cos 2x is 7/8.
the nth term of a sequence is givin by 3n2
position of the term that is the first one to have a value over 100
Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.
What is Sequence?
A list of numbers or objects in a special order is called sequence.
Given that;
The nth term of a sequence = 3n²
Now,
Let [tex]a_{n}[/tex] be the nth term.
Then, [tex]a_{n} = 3n^{2}[/tex]
Let m be the term which is the first term with a value greater than 1000.
Then, [tex]a_{m} > 1000[/tex]
Substituted the value of [tex]a_{m}[/tex] we get;
3m² > 1000
Divide by 3 we get;
m² > 1000/3
m² > 333.333
Take square root both side;
m > √333.33
m > 18.25
Thus, m = 19
So, 19th term is the first one with a value greater than 1000.
Hence, [tex]a_{19} = 3(19)^2 = 3 * 361 = 1083[/tex]
Thus, Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.
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Dan created a map of the state of ohio using a scale factor of 2 centimeters 25 miles The actual distance from cleveland to Columbus is 142 miles. About how far apart are Cleveland and Columbus on Dan's map
On Dan's map the distance between Cleveland and Columbus is 11.36 centimeters .
In the question ,
it is given that ,
the scale factor of Dan's map is 25 miles = 2 cm
So , 1 mile = 2/25 cm
= 0.08 cm
So , on Dan's map 1 mile is represented by 0.08 cm
Given that the actual distance between Cleveland and Columbus is 142 miles .
So , on Dan's map
142 miles = 0.08*142 cm
= 11.36 cm
we get , 142 miles = 11.36 cm
Therefore , On Dan's map the distance between Cleveland and Columbus is 11.36 centimeters .
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Find the Area of the figure below, composed of a square and four semicircles. Rounded to the nearest tenths place
The Area of the figure ,composing of a square and four semicircles is 832.7 sq. units
The Length of the side of the square is 18 units which is also the diameter of the semicircle.
So, The Area of square is Length * Length = 18*18 = 324 sq. units
Now, the radius of semicircle = 0.5(diameter)= (0.5)*18 = 9 units
The area of semicircle = half of area of circle = (0.5)3.14(radius)(radius)
The area of one semicircle = (0.5)3.14(9)(9)
The area of one semicircle = 127.17
The Total area of figure consists of 4 semicircles and one square
So, Total area = 4(area of 1 semicircle) + area of square
Total area = 4(127.17) + 324
Total area = 832.68 sq. units
rounding off the total area = 832.7 sq. units
Therefore, the total area of the given figure is 832.7 sq. units.
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round -125 over 4
-125/4
Answer:
Step-by-step explanation:
-125/4
-124/4=-31
-31 1/4
simplify this algebraic expression completely 7x-5(x+6)
Step-by-step explanation:
[tex]7x - 5(x + 6) \\ 7x - 5x + 30 \\ 2x + 30[/tex]
Flora is buying dog food for her dog. She wants to buy enough to last five weeks (35 days). Her dog eats 2 cups in a day, and there are 24 cups in each bag. How many bags of dog food should flora buy?
Answer:
3 bags
Step-by-step explanation:
For all 35 days, the dog will need 35 * 2 = 70 cups
She will need at least 3 bags (72 cups) to sustain 5 weeks
The quarterly dividend for Tiffany, a jewelry company, was $0.12
during the second quarter of 2008. What was the annual divider
for 2,000 shares?
Answer:
$960
Step-by-step explanation:
Quarterly Dividend Per Share = $0.12
Quarterly Dividend For 2000 shares = 0.12 x 2000 = $240
Since there are 4 quarters in a year, yearly dividend for 2000 shares at $0.12 per share
= $240 x 4 = $960
-5 + |1 - 8n| > 58
MUST SHOW EQUATION
The value of the inequality is n > 7. 75
What are inequalities?Inequalities are simply defined as mathematical relations that makes an unequal or unbalanced comparison between two elements or numbers and even for known mathematical expressions
They are frequently used in comparing two or more numbers on the number line and this is carried out on the basis of their magnitude or size.
What is absolute value?Absolute value can be defined as the value of a number irrespective of its direction from zero on the number line.
The absolute value of a number must take the positive sign.
It is represented with the symbol '| |'
Given the inequality:
-5 + |1 - 8n| > 58
find the absolute value
-5 + 1 + 8n > 58
collect like terms
8n > 58 + 4
8n > 62
Make 'n' the subject of formula by dividing both sides by 8
8n/8 > 62/8
n > 7. 75
Hence, the value is n > 7. 75
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Use elimination to solve for x and y: 2x-y =18
-2x-9y=2
Answer:
2x-y=18
-2x-9y=2
cancel 2x
add equation:
-y+(-9y)=20
-10y=20
y=-20/10
y = -2
input y in any equation:
2x-(-2)=18
2x+2=18
2x=18-2
2x=16
x= 8
To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that
For both triangles to be proven to be similar to each other by the SAS similarity theorem, it also needs to be shown that: A. angle N ≅ angle Z.
What is the Side-angle-side Similarity Theorem (SAS)?The side-angle-side similarity theorem (SAS) states that two triangles can be proven to be similar to each other if two pairs of corresponding sides of the two triangles are proportional to each other and one pair of corresponding angles of the two triangles are congruent to each other.
In the image given, we know that in both triangles:
XZ/LN = 6/2 = 3
ZY/NM = 9/3 = 3
Therefore:
XZ/LN = ZY/NM = 3
This means that the two triangles have two pairs of corresponding sides that are proportional to each other.
Thus, we also need to show that both triangles have a pair of congruent included angles before we can prove both triangles are similar to each other.
Thus, what needs to be shown is: A. angle N ≅ angle Z.
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(x −8, y + 5) y(5-5)
Answer:
brainliest pls
Step-by-step explanation:
Which is larger, 3.3 x 105 or 3.1 x 105? who ever answers get 50 points :)
Answer:
3.3*10^5 is the largest one.
Step-by-step explanation:
Comment
The threes out in front are the same. The next digit, (the tenths) are 3 and 1 since 3 is greater than 1, the answer is
3.3*10^5 > 3.1*10^5
Think of it this way. Take away the 10^5 and just look at 3.1 and 3.3. Which is bigger. 3.3 is the larger one.
Answer:
A
Step-by-step explanation:
100
Assessment Practice
27. Mr. Tran would like to buy a new sofa
that costs $934. He can pay the total all
at once, or he can make a $125 payment
each month for 8 months. How much
less does it cost to pay all at once? Write
equations to show how you solve. Tell
what your variables represent.
n
$125 $125 $125 $125 $125 $125 $125 $125
Each payment?
The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division). Here answer will be $66.
How to solve money word problems?These worksheets on money word problems expose pupils to practical issues and arithmetic applications. The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division).
Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative numbers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. However, the set of real values obtained by the operation is its codomain of definition, active codomain, image, or range. The set that contains the values created is referred to as the codomain. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.
Each month payment= $125
8 months payment= $125*8= 1000
cost of a car= $934
cost to pay all at once= $1000-$934
= $66
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Pointss!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
always remember (for your life) : the sum of all angles in a triangle is always 180°.
and the sum of all angles around a single point on one side of a line is also always 180°.
so,
180 = 65 + 51 + angle PSR
angle PSR = 180 - 65 - 51 = 64°
angle PST is the supplementary angle to angle PSR (that means together they have 180°), because of the principle of all angles around a single point (S) on one side of a line (TSR).
so,
180 = angle PST + angle PSR = angle PST + 64
angle PST = 180 - 64 = 116°
Answer:114
Step-by-step explanation:
Find the domain of the graphed function.
OA. -9≤x≤ 5
OB. 0≤x≤ 10
OC. x20
-10
D. x is all real numbers.
10-
-10-
PLEASE HURRY
The domain of the graphed function is option (D)
What is the domain of a graphed function?
In mathematics, the domain of a function is the set of inputs that the function accepts. It is also known as dom(f) or dom f, where f is the function.
The domain of the graphed function is option (D) x is all real numbers.
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