A rental car company charges $55.98 per day to rent a car and $0.14 for every
mile driven. Joseph wants to rent a car, knowing that:
• He plans to drive 375 miles.
• He has at most $300 to spend.
What is the maximum number of days that Joseph can rent the car while
staying within his budget?

Answer:

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

[tex]c(n) = c_{1}\cdot r^{n-1}[/tex], [tex]n \ge 1[/tex] (1)

Where:

[tex]c_{1}[/tex] - First term.

[tex]r[/tex] - Geometric rate.

[tex]n[/tex] - Position of the element within the series.

If we know that [tex]c_{1} = -40[/tex] and [tex]r = \frac{1}{2}[/tex], then the explicit formula for the geometric sequence is:

[tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex]

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Answer:

1) [tex]3x^{2}[/tex]-19x-14

2) x=0, x=3

Step-by-step explanation:

1) (3x+2)(x-7)

Distribute the 3x to both x and -7, as well as the 2 to both x and - 7.

[tex]3x^{2}[/tex] - 21x + 2x -14

Combine like terms

[tex]3x^{2}[/tex] - 19x - 14

2)

In order to find the factors of x, set the expression equal to 0.

[tex]3x^{2}[/tex] - 9x = 0

Factor out the highest common multiple (3x)

3x(x-3) = 0

In order for x to satisfy the equality, you must either have a 0 in the parenthesis -> (x-3)=0 -> x =3

Or 3x = 0 -> x = 0

Hope this helps!

Answer:

20  8 12 10

Step-by-step explanation:

Answer:

for 5. the answer is 15.

for 6. the answer is 8

Step-by-step explanation

hope this helped u again!!!!!!!!!!!!!!!!!!!!!!

i know but yes i need to know it

Answer:

There are 1,035,779,173,390 different ways to answer 1+1

Step-by-step explanation:

I will give 4 examples

1. quentin trembley, the president on the negative 12 dollar bill.

2. d e s p a s i t o

3.(╭☞・◡・)╭☞     m0nkE bOnK

4. the cold heart of russian winter

Answer:

Q = 35

Step-by-step explanation:

1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180

2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147

                                                                                  +-33  +-33

                                                                                 __________

                                                                              17x = 147/17=21

                                                                               /17     /17

3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145

4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35

Q= 35

Step-by-step explanation:

7x + 2 = 10x - 31

33 = 3x

x = 11

so, 7x + 2 = 7( 11 ) +2 = 79°

10x - 31 = 10( 11 ) - 31 = 79°

ΔP + ΔQ + ΔR + ΔS = 360°

79° + ΔQ + 79° + 124° = 360°

ΔQ + 282° = 360°

ΔQ = 360° - 282°

ΔQ = 78°

Answer:

1|3

Step-by-step explanation:

slo osma uetacunsecuescia

Answer:

x=57

Step-by-step explanation:

a triangle has a sum of 180 degrees

that angle 51 is vertical to the angle across it so it is 51

we do math now

180-72-51=57

I hope this helped :))

Answer:

4

Step-by-step explanation:

Simplifying

17 = 5k + -3

Reorder the terms:

17 = -3 + 5k

Solving

17 = -3 + 5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-5k' to each side of the equation.

17 + -5k = -3 + 5k + -5k

Combine like terms: 5k + -5k = 0

17 + -5k = -3 + 0

17 + -5k = -3

Add '-17' to each side of the equation.

17 + -17 + -5k = -3 + -17

Combine like terms: 17 + -17 = 0

0 + -5k = -3 + -17

-5k = -3 + -17

Combine like terms: -3 + -17 = -20

-5k = -20

Divide each side by '-5'.

k = 4

Simplifying

k = 4

Answer:

0

Step-by-step explanation:

Combine like terms and everything cancels out

Answer:

I think the question is not correct because it can't be factorize

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)

Answer:

y = -3/4x -5

Step-by-step explanation:

(4, -8) and (-8, 1)

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

m= (1+8)/(-8-4)

m = (9)/(-12)

m = -3/4

y - y1 = m(x-x1)

y + 8 = -3/4(x -4)

y + 8 = -3/4x + 3

y = -3/4x -5

Answer:

y = -3/4x - 5

Step-by-step explanation:

Hope this helps!

Answer:

this problem has this form, (x,y) (x-7)(y+5) and tells you that the X and Y coordinates are translated to X-7 and Y+5.

Step-by-step explanation:

The translated point A' of the triangle is given by A' ( -3 , 13 )

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the triangle be represented as ΔABC

Now , the coordinates of the triangle are

A ( 7 , 5 ) , B ( 2 , 9 ) and C ( 1 , 3 )

Now , the triangle is translated 4 units left and 8 units up

To translate the point A(7,5) 4 units to the left and 8 units up, we subtract 4 from the x-coordinate and add 8 to the y-coordinate:

A'(3,13)

To reflect this point across the y-axis, we change the sign of the x-coordinate:

A'(-3,13)

Hence , the translated point is A' ( -3 , 13 )

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Answer:

w ≤ 19

Step-by-step explanation:

4w−16≤60

Add 16 to both sides.

4w−16+16≤60+16

4w≤76

Divide both sides by 4.

4w/4 ≤ 76/4

w≤19

Answer:

w<=19

Step-by-step explanation:

4w<=60+16

w<=76/4

The image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Coordinates of figure 1 are (-1, 1), (-1, 2), (-2, 2), (-3, 1), (-2, 4) and (-3, 4)

Reflection on y-axis, we get

(1, 1), (1, 2), (2, 2), (3, 1), (2, 4) and (3, 4)

Translation 3 units down

(1, 1-3), (1, 2-3), (2, 2-3), (3, 1-3), (2, 4-3) and (3, 4-3)

(1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)

Figure B has following coordinate points, (1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)

Therefore, the image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.

To learn more about the reflection over y-axis visit:

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Answer:

C

Step-by-step explanation:

The graph have negative type of association.  the variables tend to increase as the other variable decreases.

To learn more about graph association  refer :

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Answer:

y=15x

Assuming he is mowing at a constant rate it would be 15 square feet per minute.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4,6) and (20,14) are points on the line.

slope of line = (14-6)/(20-4) = 8/16= 1/2

point-slope equation for line of slope 1/2 that passes through (6,4):

y-4 = (½)(x-6)

in slope-intercept form:

y = ½x + 1

y-intercept = 1

Answer:

x=-2,y=-3

Step-by-step explanation:

x=7+3x

-3x+8y=-18

-21-y=-18

x=7+3x

y=-3

x=7+3x

x=-2

y=-3

Answer:

x = -2

y = -3

Step-by-step explanation:

There are three methods for solving system of equations: elimination, substitution, and graphing. In this case elimination would be the best method since you have -3x for both equations. When solving by elimination, your goal is to eliminate one of the variables, in this case we will eliminate x. Subtract the bottom equation from the top (it is important to remember here that the negative will distribute to the entire equation).

-3х + 9y = -21

- (- 3х +8y = -18)

_____________

y = -3

Now plug this y-value in to either equation and solve for x

-3х + 9y = -21

-3х + 9(-3) = -21

-3x - 27 = -21

-3x = 6

x = -2

Check your answer by plugging both values in to the second equation

- 3х +8y = -18

- 3(-2) +8(-3) = -18

6 - 24 = -18

-18 = -18

Answer:

Im not a hundred percent sure if this is the right answer but im pretty sure it is 3.33333 repeated so the rate of change is 3 inches per week.

Step-by-step explanation:

I calculated the problem by subtracting the weeks from each other subtracting the amount of length corn has grown too. I found that the corn grew 40 inches in 12 weeks. So I divided the amount of weeks and the amount it has grown and it gave me 3.333333 repeated which makes the answer 3 inches per week. correct me if im wrong...

Hope this helps:)

Answer:

1. The radius of the circle is 6cm. We know this because the radius measures from the center of a circle to the outer side. Since the radius is always half the diameter then half of 12cm is 6cm

2. The diameter is 14cm. We know this because diameter measures from one edge of a circle straight across to the other side. Also the radius is always half the diameter so 7cm*2=14cm

Answer:

he need 5.7 inches to tie the boat to the dock

Answer:

5.7 inches of ropes to tie his boat to a dock

Answer:

(-6 , 3)

Step-by-step explanation:

-x-3y= -3

x-6y= -24

1. solve each eq so they make x=___

-x = -3 + 3y

x= 3 - 3y

and

x = -24 + 6y

2. set = to each other and solve for y

3 - 3y = -24 + 6y

27 = 9y

y = 3

3. plug the y value into one of the x=__ eq's and solve for x

x = 3 - 3y

x = 3 - 3(3)

x = 3 - 9

x = - 6

your solution is ( -6 , 3 )

Answer:

x=2

Step-by-step explanation:

hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!

ps pls tell me if it was correct :)