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swat32
2 years ago
7

If h(x) = 1 2 x4 - 3x3, find h(4) A)-200   B)-64  C)-28D)-16

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

-64

Step-by-step explanation:

h(x) =\frac{1}{2}x^4 - 3x^3

Now we need to find out h(4)

to find h(4), we plug in 4 for x

Replace all x by 4 in h(x) and evaluate h(4)

h(x) =\frac{1}{2}x^4 - 3x^3

h(4) =\frac{1}{2}(4)^4 - 3(4)^3

h(4) =128- 192=-64

So the value of f(4)= -64

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A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. W
Nuetrik [128]

Answer:

4 1/6 inches

Step-by-step explanation:

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Perimeter of Triangle = Side a + Side b + Side c

Perimeter of the Triangle =

( 1 1/6 + 1 1/3 + 1 2/3) inches

Lowest common denominator = 6

= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)

= 3 + (1 + 2 + 4/6)

= 3 + 7/6

= 3 + 1 1/6

= 4 1/6 inches

6 0
3 years ago
Find the 96th term of the arithmetic sequence <br> -3, -14, -25, ...
lana [24]

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

4 0
2 years ago
GIVING BRAINLESS HELP!!
aliina [53]

Jessica bought 2.25 yards more material than Derek.    Hope this helped!

4 0
2 years ago
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diag
scoundrel [369]

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

3 0
2 years ago
4.
Juli2301 [7.4K]
<h3>Answer:  6 ounces</h3>

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

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

3 0
2 years ago
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