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guapka [62]
3 years ago
5

A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

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2x+y = - 3<br> X + 3y = 6<br> Solve the system of equations by graphing
Anna71 [15]

Answer:

(3/5, 9/5)

Step-by-step explanation:

Here's the graph :)

4 0
3 years ago
What is the factored form of the function f(x)=x^3+8x^2+5x−50?
Inga [223]

Answer:

the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function f(x)=x^3+8x^2+5x-50

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of x^3+8x^2+5x-50 by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: x^2+10x+25

The equation x^2+10x+25 can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0
4 years ago
What is the solution of 9+ 1/4 = 7
Vlada [557]

Answer:

b=-8

Step-by-step explanation:

9+1/4b=7

-2=1/4b

b=-8

6 0
3 years ago
Read 2 more answers
Hi how much would the cheapest roblacks premium cost for 1 year
noname [10]

Answer: $59.88

Step-by-step explanation:

1): Multiply

    $4,99 x 12 = $59.88

6 0
3 years ago
Help asap ill give brainliest
DaniilM [7]

<u>Answer </u><u>:</u>

This figure consists of two shapes that are a rectangle and a square . We will first find the area of rectangle then the square then add them . Let's work on this together ,

  • Breadth of rectangle = 4 cm
  • Length of rectangle = 4 + 5 + 3
  • Length = 12 cm
  • Area of rectangle = 12 × 4
  • 48 cm²

Area of square ,

  • Side × Side
  • 5 × 5
  • 25 cm²

Total area of the figure ,

  • 48 + 25
  • 73 cm²
7 0
3 years ago
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