The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 60x + 10

Car B
y = 40x + 70

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

2 hours, 150 miles
2 hours, 190 miles
3 hours, 150 miles
3 hours, 190 miles

Answers

Answer 1

Answer: when the cars are at the same distance from the starting point the y will be the same for both of the equations.
which means that 60x + 10 = 40x + 70

⇒ 60x-40x=70-10
⇒ 20x=60
⇒ x=3 hours

now that we know the x we can choose an equation and solve it

60x3+10=y⇒
⇒y=180+10
⇒y=190 miles

the correct answer is the last one: 3 hours, 190 miles

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2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION
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Choose the correct simplification of the expression (−2x + 8y)(9x − 3y).−18x2 + 78xy − 24y2
18x2 + 78xy − 24y2
−18x2 − 78xy + 24y2
−18x2 + 72xy − 24y2

Answers

For these kinds of expressions use FOIL (first, outside, inside, last).

-2x • 9x = -18x^2
-2x • -3y = 6xy
8y • 9x = 72 xy
8y • -3y = -24y^2

Now combine them all:

-18x^2 + 78xy - 24y^2

Answer:

The answer is A I just took the test

Step-by-step explanation:

Find the first,fourth, and eighth terms of the sequence. A(n)=-5*2^n-1

Answers

Answer: $A(1)=-5$

$A(4)=-40$

$A(8)=-640$

Step-by-step explanation:

Given sequence : $A(n)=-5*2^(n-1)$

To find the first term, we need to put n=1 in the above sequence , we get

$A(1)=-5*2^(1-1)=-5*2^0=-5$

To find the fourth term, we need to put n=4, we get

$A(4)=-5*2^(4-1)=-5*2^3=-5*8=-40$

To find the eighth term, we need to put n=8, we get

$A(8)=-5*2^(8-1)=-5*2^7=-5*128=-640$

Answer:

$A(1)=-5*2^1-1=-11$

$A(1)=-5*2^4-1=-81$

$A(1)=-5*2^8-1=-1281$

Step-by-step explanation:

Given : $A(n)=-5*2^n-1$

To find : $A(1), A(4), A(18)$

Solution:

Put n=1, $A(1)=-5*2^1-1$

$A(1)=-10-1=-11$

Put n=4, $A(1)=-5*2^4-1$

$A(1)=-80-1=-81$

Put n=8, $A(1)=-5*2^8-1=$

$A(1)=-1280-1=-1281$

20p+22p-12p=90

whats the value of p and show work

Answers

20p+22p-12p=90
as all of the terms on the left are 'p's then we consider them to be called like terms. When we have like terms we can add or subtract freely.
so:
20p+22p-12p=90
20p+22p=42p
42p-12p=30p
therefore we get:
30p=90
this is the same as
30*p=90
to find do we need to 'work backwards' to move the 30 to be with 90.
So to 'work backwards' we do the opposite of multiply and divide it instead to both sides of the equation.
30/30*p=90/30
p=90/30
p= 3

Simplify both sides of the equation

20p+22p-12p = 90

Simplify

30p = 90

Divide both sides by 30

30p/30 = 90/30

p = 3

I hope that's help !

Calculate your answer to the nearest hundredth 3x=40

Answers

3x=40
well first you have to divide 3 by both sides with a result of
x=13.3 repeating
so 13.3333333 to the nearest hundredth would be
x= 13.33

What is pie the number in math?

Answers

3.14159265359 and lots more.

X =

10
8
9
---------------------

Answers

Answer:

x = 8.

Step-by-step explanation:

Using the chords of a circle intersection theorem:

5x = 4 * 10

x = 40 /5

x = 8.

Answer:

X=8

Step-by-step explanation:

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