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3 years ago

A line has a slope of -1/2 and a why intercept of -2

Mathematics

1 answer:

Mice21 [21]3 years ago

7 0

Answer:

y = -1/2x - 2

Step-by-step explanation:

The formula of the slope-intercept is y = mx + b. The m is the slope while y is the y-intercept.

y = -1/2x - 2

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Write a linear function f with the values f(0)=−3 and f(7)=11 <br> A function is f(x)=

Rudik [331]

Answer:

f(x) = 2x - 3

Step-by-step explanation:

x y

0 -3

7 11

when x = 0, y = -3. When x increases by 7, y increases by 14, or when x increases by 1, y increases by 2.

4 0

2 years ago

It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone

nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

$\frac{y(100x-z)}{x+y}$

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

$\frac{z}{x}$

So, the remaining decks are given by:

$100-\frac{z}{x}=\frac{100x-z}{x}$

Then, the combined rate of machines A and B would be:

$\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}$

The work-rate formula is:

$Amount= Rate \times Time$

Hence, the time that the two machines work simultaneously is:

$Time=\frac{Amount}{Rate}$

$Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}$

3 0

3 years ago

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)

Softa [21]

Answer:

I think it's b I don't know for sure though

Step-by-step explanation:

I don't know for sure tho

6 0

3 years ago

Which equation represents the statement, “6 less than a number is 21?”

Paraphin [41]

Answer:

6<21

Step-by-step explanation:

4 0

3 years ago

P varies directly as the cube root of Q. If P = 4 when Q = 8, find P when Q = 64<br>

NemiM [27]

Step-by-step explanation:

P varies directly as the cubic root of Q means that:

$p = x \times \sqrt[3]{q}$

, where x is a real constant number.

Which means that:

$x = \frac{p}{ \sqrt[3]{q} }$

for q ≠0.

So we get that for q=8,p=4 which means:

$x = \frac{4}{ \sqrt[3]{8} } = \frac{4}{2} = 2$

As a result we get that for Q=64:

$p = 2 \times \sqrt[3]{64} = 2 \times 4 = 8 \\ since \: {4}^{3} = 4 \times 4 \times 4 = \\ 16 \times 4 = 64$

So for q=64,p=8.

8 0

3 years ago

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