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Svet_ta [14]
3 years ago
9

(-2,4) Given the function f(x) , calculate the inverse f^-1(x)

Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:   (4, -2)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's:  (-2, 4) --> (4, -2)

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Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

Using this rule, we get

M(-4,6)\to M'(1.5(-4),1.5(6))

M(-4,6)\to M'(-6,9)

And,

N(2,6)\to N'(1.5(2),1.5(6))

N(2,6)\to N'(3,9)

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0
3 years ago
Find g(a-2)+3g(2a) if g(x)=x²-5x+8
sertanlavr [38]

Answer:

13a² - 39a + 46

Step-by-step explanation:

To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.

g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22

3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24

Combine the values to find g(a-2)+3g(2a).

g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46

4 0
3 years ago
Based on the timeline, which of the following statements is true?​
Morgarella [4.7K]

Answer:

<h2><u>Answer B. </u></h2>

Step-by-step explanation:

If you check each answer, only B works since it is the only one that would place everything correctly on the timeline

5 0
3 years ago
Can someone please help me out with this question ??
Nezavi [6.7K]

Answer:

A = 28 units ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

The base is 14 and the height is 4

A = 1/2 (4) * 14

A = 28 units ^2

5 0
3 years ago
Read 2 more answers
14/1 ÷ 3/8 = please show work and answer fast​
jarptica [38.1K]

Answer: 37 1/3

Step-by-step explanation:

14/1÷3/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

14/1 × 8/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

14×8/1×3 = 112/3

This fraction cannot be reduced.

The fraction

112/3

is the same as

112÷3

Convert to a mixed number using

long division so

112/3=37 1/3

Therefore:

14/1 ÷ 3/8=37 1/3

5 0
3 years ago
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