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3 years ago

Match the answer to the question.

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

1. B= -3

2. X= -5

3. X= 6

4. X= 6

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What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?

crimeas [40]

Answer:

vertical translation of 3 units down

Step-by-step explanation:

we have

$f\left(x\right)=\left|x\right|$ ----> the parent function

The vertex of f(x) is the point (0,0)

$g\left(x\right)=-3+\left|x\right|$ ----> the transformed function

The vertex of g(x) is the point (0,-3)

The rule of the translation is

f(x) -----> g(x)

(0,0) ----> (0,-3)

(x,y) ----> (x,y-3)

That means ---> The translation is 3 units down

see the attached figure to better understand the problem

7 0

2 years ago

.////////////PLEASE HELPPPPP

Reptile [31]

Answer:

106°

Step-by-step explanation:

Supplementary angles add up to 180°

180°- 74°

= 106°

6 0

2 years ago

Read 2 more answers

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

Klio2033 [76]

Hello!

You can solve this by plugging 1 into $g(x)$ and plugging the result into $h(x)$ .

$g(x) = 2x$
$g(1) = 2(1)$
$g(1) = 2$

$h(x) = 2x + 4$
$h(g(1)) = 2(2) + 4$
$h(g(1)) = 4 + 4$
$h(g(1)) = 8$

Answer:
<span>(h ∘ g)(1) = 8</span>

8 0

3 years ago

In a set of data, if there is no clear pattern to the points when graphed on a coordinate plane, we say there is no relative ___

VikaD [51]

Answer: If there is no clear pattern to the points when graphed on a coordinate plane, we say there is no relative correlation.

In a scatter plot, we are looking for a pattern (or correlation) between the points. Sometimes, they increase together. Sometimes, they decrease together.

If we can't see a pattern, we say there is no correlation.

7 0

2 years ago

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili

zlopas [31]

Answer:

The correct answer to the following question will be "0.438".

Step-by-step explanation:

Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.

Although each student becomes independent of one another, we may conclude:

"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40

Given:

Number of surveys

= 12

Exactly 4 students have taken chemistry:

$=P(X\leq4)$

$=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)$

$=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}$

On substituting the above equation, we get the probability of approximately "0.438".

So that the above would be the appropriate answer.

5 0

3 years ago