MATHEMATICS HIGH SCHOOL

A car rental agency charges a weekly rate of $300 for a car and anadditional charge of 5 cents for each mile driven. How much miles can
you travel in a week for $500?
5,000 miles
3,000 miles
3,500 miles
5
4,000 miles
3
4,500 miles

Answers

Answer 1
Answer:

Answer:

4,000

Step-by-step explanation:

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Given: x - 6 = 1. Choose the solution set. {x | x R, x = -7 } {x | x R, x = 7 } {x | x R, x = 5 }

Answers

X=6 because 7-6=1 , you'd just substitute in the x value and solve for each one

Answer:

{x | x R, x = 7 }

Step-by-step explanation:

x - 6 = 1

x - 6+6 = 1+6

x=7

{x | x R, x = 7 }

Lenny’s favorite radio station has this schedule:
A.
B.
C.
D.

Answers

I think the answer is 37/60

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

Answers

Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

Radius = 10

Three married couples attend a football game. In how many ways can they be seated in six seats in a row if all the men are seated together and all the women are seated together?6!
20
120
72

Answers

6 bc there is only 6 people and 1 row
6 bc thier is one row and six people

Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence​

Answers

Answer:

a_(n) = 90 - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

a_(n) = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

Is this equation standard form of an ellipse or circle?-3x^2-3y^2-12x-12y+24=0
What's the center?

Answers

The standard form equation for a circle is

(h-x)^2+(k-y)^2=r^2

where (h, k) is the center and r is the radius.

The standard form equation for an ellipse is

((x-h)^2)/(a^2)} + ((y-k)^2)/(b^2) = 1

(center h, k and major and minor axes a and b)

This equation is standard form for neither, but might be general form for one.

-3x^2-3y^2-12x-12y+24=0 \n -3(x^2+y^2+4x+4y)=-24 \n x^2+4x+y^2+4y=8\ (complete\ the\ squares)\n (x^2+4x+4)+(y^2+4y+4)=8+4+4\n (x+2)^2+(y+2)^2=16 \n Circle\ with\ radius\ 4\ and\ center\ (2,\ 2)
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