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shusha [124]
2 years ago
6

Algebra 2 question need help.​

Mathematics
1 answer:
MrMuchimi2 years ago
4 0

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

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Fifteen years ago 57% of American families had money invested in the stock market. It is believed that this percentage has dropp
statuscvo [17]

Answer:

z(critic) = -2.33

Step-by-step explanation:

In this case this is a population proportion test because the observations are simple random sampled and there is a fixed number of trials with only two possible options. Also, n is big enough.

Since this is a population test, the test statistic is z.

Also, this is a one tailed tast because the claim is that the population proportion is less than 0.57.

In this case, for a 0.01 significance level, z(critic) = -2.33

3 0
3 years ago
QUESTION
adoni [48]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm a
aleksandrvk [35]

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

5 0
3 years ago
What is the slope of the line?<br> 3(y - 1) = 2x + 2<br> Choose 1 answer:
fenix001 [56]

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

4 0
3 years ago
Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​
Rudiy27

Answer:

-  \frac{8}{5}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

=  \frac{6 - ( - 2)}{ - 2 - 3}

=  \frac{6 + 2}{ - 5}

=   - \frac{8}{5}

7 0
3 years ago
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