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3 years ago

10

A truck rental company rents a truck for one day by charging $39 plus $1 per mile. Write a linear model that relates the cost C,

in dollars, off the renting truck to the number of M miles driven.

1 answer:

Anika [276]3 years ago

6 0

Answer:

1m+39c=y

Step-by-step explanation:

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

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2 years ago

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Solve for x in the equation x^2-10x+25=35.

KatRina [158]

So, this is too vague but I'll solve for both quadratic formula and find the discriminant.

Quadratic formula: <span>x=<span>5+<span><span><span>√35 OR</span><span> </span></span>x</span></span></span>=<span>5−<span>√<span>35
Finding the discriminant: 141</span></span></span>

3 0

3 years ago

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Part A: Which of the following points are on the same line that passes through the (7,-7),(21,14),(49,35)? Select all

puteri [66]

It is C hope i helped you!;)

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3 years ago

carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in

KIM [24]

Answer:

14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70

Step-by-step explanation:

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2 years ago

The school amrching band has 36 members, the band director wants to arrange the band members into a square formation how many ba

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If it is in a square formation, you would have to find the square root of 36 which is 6

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