All categories

2 years ago

For the function f(x)=5x2−5x, evaluate and simplify.

Mathematics

1 answer:

Marianna [84]2 years ago

7 0

9514 1404 393

Answer:

10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}$

You might be interested in

What does 24 times 4 equal

-Dominant- [34]

Your answer would be
96
Hope this helped ;)

4 0

2 years ago

Read 2 more answers

Eric is sewing a border around a rectangular quilt. The quilt measures 5 feet by 7 feet. How much border material should Eric bu

Fofino [41]

Well 5x7=35 so I would think 35 feet

8 0

2 years ago

These triangles are scaled copies of each other.

Mariana [72]

Answer:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of the sides.

a. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

side in F: 10

corresponding side in G: 5

ratio of lengths of F to G = 10/5 = 2

ratio of areas of G to F: (2)^2 = 4

b. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

side in G: 5

corresponding side in B: 5/2

ratio of lengths of B to G = (5/2)/5 = 1/2

ratio of areas of B to G: (1/2)^2 = 1/4

c. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

side in B: 5/2

corresponding side in F: 10

ratio of lengths of F to B = 10/(5/2) = 4

ratio of areas of F to B: (4)^2 = 16

Do the same for the other 3 pairs of triangles.

The answers are:

d. 1/9

e. 4/9

f. 9/16

3 0

2 years ago

The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i

ioda

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

Explanation:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

Null hypothesis:H₀:μ > 560

Alternative Hypothesis:H₁ : :μ < 560 (left tailed test)

Test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76$

|t| = |-1.76| = 1.76

Degrees of freedom

γ = n-1 =16-1 =15

$t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131$

Conclusion:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

6 0

3 years ago

If J is between H and K and HJ = 3(x + 2), JK = 3x -4 and KH = 44. What is the value of HJ?

Ira Lisetskai [31]

KH = 3(x + 2) + 3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27

7 0

2 years ago