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4 years ago

The parameters of a linear function are the slope and the y-intercept

Mathematics

1 answer:

taurus [48]4 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept

x is the independent variable or input value

f(x) is the dependent variable or output value

In this problem we have

$f(m)=5+3m$

where

m is the number of miles

f(m) is the cab company's fare in dollars

we have that

In this context

<em>Slope</em>

The slope or unit rate is equal to the cost per mile for the riders trip

The slope is $3 per mile

<em>Y-intercept</em>

The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.

The y-intercept is $5

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Solve Q²= a(p²-b²)/p in form of y=mx+c

umka2103 [35]

Answer:

We want to rewrite:

q^2 = a*(p^2 - b^2)/p

as a linear equation, in the form:

y = m*x + c

So we start with:

q^2 = a*(p^2 - b^2)/p

we can expand the left side to get:

q^2 = (a/p)*p^2 - (a/p)*b^2

q^2 = a*p - (a/p)*b^2

Now we can ust define:

a*p = c

Then we can replace that to get:

q^2 = -(a/p)*b^2 + c

now we can replace:

q^2 = y

b^2 = x

Replacing these, we get:

y = -(a/p)*x + c

finally, we can replace:

-(a/p) = m

then we got the equation:

y = m*x + c

where:

y = q^2

x = b^2

c = a*p

m = -(a/p)

4 0

3 years ago

Six grape fruit cost $5.34. How much does one grape fruit cost????

Firlakuza [10]

In order to figure this out, we can set up a proportion and simplify using cross multiplication.

$\frac{units_1}{cost _{1} } =\frac{units_2}{cost _{2} } \\ \\ \frac{6}{5.34} = \frac{1}{x} \\ \\ 6*x=5.34*1 \\ \\ 6x=5.34 \\ \\ x=0.89$

One grapefruit costs 89 cents.

3 0

3 years ago

Read 2 more answers

What is 6 x _______= -24

maria [59]

Answer:

-4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

SO I NEED HELP ON THIS

erma4kov [3.2K]

Angle DAB is equivalent to angle DCB. The answer is 65°

8 0

3 years ago

51,988 rounded to the nearest ten thousand is.

egoroff_w [7]

1) 50000

2) 770000

because you look at the place value before the 10,000 place and if it's above 4, then you round up. if it's below 5, you round down.

7 0

4 years ago