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3 years ago

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Mathematics

2 answers:

Murljashka [212]3 years ago

8 0

Answer:

208

Step-by-step explanation:

Since it made 520 dives in 5 hours you divide 520/5 which is 104

For two hours you multiply 104*2 = 208

Sphinxa [80]3 years ago

5 0

Answer:

Step-by-step explanation:

you do 520 divided by two hours

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You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below

9966 [12]

Answer:

D. 75

Step-by-step explanation:

8 0

3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

Which of the following functions has an inverse that is not a function?

Rainbow [258]

Answer:

$f(x) = x(x - 1)$

Step-by-step explanation:

The inverse of a quadratic function is not a function.

4 0

2 years ago

If x=-1, x^5+x+4+x^3+x

DedPeter [7]

Answer:

Step-by-step explanation:

yeah-ya.............. right?

8 0

2 years ago

Read 2 more answers

7. The points P(2, -3), Q(3, -2) and R(8, z) are

Hatshy [7]

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = $\frac{-2+3}{3-2}$ = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = $\frac{z+2}{8-3}$ = $\frac{z+2}{5}$ , then

$\frac{z+2}{5}$ = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

4 0

2 years ago