MATHEMATICS HIGH SCHOOL

The black graph is the graph of y= f(x). Choose the equation for the red graphwhich one: a, b, c, d?

Answers

Answer 1

Answer:

Answer:

Option C.

Step-by-step explanation:

First, let's define the transformations used here:

We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:

Horizontal shift:

For a general function f(x) an horizontal shift of N units is written as:

g(x) = f(x + N)

where:

If N > 0, the shift is to the left

if N < 0 , the shift is to the right.

Reflection across the x-axis.

For a function f(x), a reflection across the x-axis is just written as:

g(x) = -f(x)

So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:

g(x) = -f(x) (only for the reflection)

g(x) = -f(x - 1) (for the reflection and the shift)

Then the graph of the red function is:

y = -f(x - 1)

We can rewrite this as:

y = -1*f(x - 1)

dividing both sides by -1 we get:

y/-1 = f(x - 1)

This is what we can see in option C, so the correct option is C.

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The point (5, -1) is a solution of the equation: y = 2x − 11 question 28 options: true false

Answers

True
This is because on replacing for x=5;
y=2x-11
y=2(5)-11
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In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?180°
154°
64°
90°

Answers

Answer:

The other acute angle is 64°

Step-by-step explanation:

Given a right triangle in which the measure of one acute angle is 26°

we have to find the measure of the other acute angle.

Let the required acute angle is x

By angle sum property, the sum of all angles of triangle is 180°

$x^(\circ)+26^(\circ)+90^(\circ)=180^(\circ)$

$x^(\circ)+116^(\circ)=180^(\circ)$

$x^(\circ)=180^(\circ)-116^(\circ)$

$x^(\circ)=64^(\circ)$

Hence, the other acute angle is 64°

sum of angles in a triangle = 180
180-90-26
=64

In an isosceles trapezoid, each pair of base angles is __________. A. right B. Supplementary C. complimentary D. congruent

Answers

I'm totally sure that inn an isosceles trapezoid, each pair of base angles is D. congruent

if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

= $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

Learn more about reserve rate here:

brainly.com/question/945161

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If the reserve rate is 7% and a bank receives a deposit of $9,000. How much of the $9,000 is the bank free to lend? $8,370

3(5 − 2x) = −2(6 – 3x) − 10x

Answers

3(5-2x) = -2(6-3x)-10x
15-6x = -12+6x-10x
15-6x = -12-4x
-2x = -27
x = 27/2

I think the answer is 27/2

Are the equations m 3 = −5 and m = −2 equivalent? explain.

Answers

m = {-0.5, 0.5}that is the plot

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