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3 years ago

Factor the sum of terms as a product of the GCF and a sum

Mathematics

1 answer:

kaheart [24]3 years ago

4 0

5. 4(13 + 7)
7. 5(2y + 3)
8. 3(6s + 7)
9. 7(7m + 1)
10. 8(7 + 3x)
11. 5(16 + 5z)
12. 8(4b + 6)

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You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta

andreev551 [17]

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

<u>Step-by-step explanation:</u>

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

So for x = 2, y = $30 + (2 × $35) = $30 + $70 = $100

So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

y = $45 + (x × $30), where y is total cost and x is the days rented

So for x = 1, $45 + (1 × $30) = $45 + $30 = $75

So for x = 2, $45 + (2 × $30) = $45 + $60 = $105

So for x = 3, $45 + (3 × $30) = $45 + $90 = $135

So for x = 4, $45 + (4 × $30) = $45 + $120 = $165

So for x = 5, $45 + (5 × $30) = $45 + $150 = $195

Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

3 0

3 years ago

You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you

Lilit [14]

Answer:

Step-by-step explanation:

Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40

then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)

So you do 3.40/0.85 which is equal to 4

5 0

2 years ago

HELP ASAP!! (picture above)

lilavasa [31]

To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value:

-6/8 = -3/4

$4 * (-\frac{3}{4} )^{2} + 6 (-\frac{3}{4} ) - 18 = \frac{9}{4} - \frac{9}{2} - 18 = - \frac{81}{4}$

So the minimum value of g(x) is -81/4

This shows that g(x) has a lesser minimum value than f(x)

5 0

3 years ago

If f(x)=2x²-5x and h(x)=7x-13, find (h-f)(-4)

elena-s [515]

$-14x^{2} -x+33$ Answer:

Step-by-step explanation:

6 0

2 years ago

X-4y=-17 and y=4x +8 solve by graphing please and show the solution

nikitadnepr [17]

Answer:

The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.

Step-by-step explanation:

Data

Equation 1 x - 4y = -17

Equation 2 y = 4x + 8

Solve for y

Equation 1 y = -x/-4 - 17/-4

y = x/4 + 17/4

Equation 2 y = 4x + 8

See the graph below

These lines cross in point (-1, 4), so that is the only one solution.

If the lines were the same line they would have infinite solutions

6 0

3 years ago