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olga55 [171]
3 years ago
11

With work please!!! f(x) = -x^4 + 5x - 4x^2 (f (2))^2

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer: 484

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

Work Shown:

First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify

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

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

f(2) = -16 + 5(2) - 4(4)

f(2) = -16 + 10 - 16

f(2) = -6 - 16

f(2) = -22

Then we square this result to find the value of [ f(2) ]^2

f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484

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If a data value in a normal distribution has a negative z-score, which of the following must be true?
mel-nik [20]
Correct Answer:
The data value must be less than the mean.

The formula for the z value is:

z-value = (Data value - Mean) / Standard Deviation

The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.

So, Third option is the correct answer. 
4 0
3 years ago
Read 2 more answers
Triangle ABC is shown below.<br> What is the length of line segment AC?
Rzqust [24]

Answer:

The length of the line segment AC is equal to 14

Step-by-step explanation:

The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.

AB=2x    and AC= 3x - 7

AB = AC

which implies;

2x = 3x - 7

subtract 3x from both-side of the equation

2x - 3x = 3x -3x -7

-x = -7

Multiply through by -1

x = 7

But we were ask to find the the length of the line segment AC

AC = 3x - 7

substituting x = 7 into the above equation will yield;

AC = 3(7) - 7 = 21 - 7 =14

Therefore the length of the line segment AC is equal to 14

3 0
3 years ago
A rectangular garden has an area of 24 square meters. The width is 8 meters less than twice the length. Find the dimensions of t
OLEGan [10]

Answer:

Length: 6 m

Width: 4 m

Step-by-step explanation:

Area: 24 m^{2}

Width: 2L - 8 m

Length: ?

Formula: A = W * L

Replace the variables:

24 = (2L - 8) * L

24 = 2L^{2} - 8L

0 = 2L^{2} - 8L - 24

or

2L^{2} - 8L - 24 = 0

Solve; if you don't know how to solve it using this method, let me know. It's the expression Ax^{2} +Bx+C

1. 2 (\frac{(2L^2 - 8L - 24)}{2})

2. \frac{(2L)^2 - 8(2L) - 48}{2}

3. \frac{(2L - 12)(2L + 4)}{2}

4. 2(\frac{(L - 6)(2L + 4)}{2})

5. (L-6) (2L+4)

6. L-6 = 0 AND 2L+4 = 0

L - 6 =0

L = 6

---------------------------------

2L = -4

L = \frac{-4}{2}

L = -2

Since the length cannot be negative, the only real value is 6.

Area: 24 m^{2}

Width: 2L - 8 m

Length: 6 m

Calculate width:

W = 2L - 8

W = 2(6) - 8

W = 12 - 8

W = 4 m

3 0
3 years ago
Which number line best represents the solution to the inequality 3x - 5 ≥ 7?
stealth61 [152]

a, as in apple

x>= 4

8 0
3 years ago
If c=4 and d=5, find c:d.<br>​
Sholpan [36]

Answer:

3:4?

Step-by-step explanation:

If you fill in the blank for c and d it show 3:4. Sorry if this doesn’t help, I don’t fully understand the question

8 0
2 years ago
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