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Artyom0805 [142]
3 years ago
11

Marissa wants to buy a DVD player that runs for at least 150 dollars she already saved $80 and plans to save an additional $10 e

ach week run in quality that represents this
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0
Price of DVD player ≥ $150
Saved = $80
Amount needed = $150 - $80 = $70
Saving per week = $10

Let x be the number of weeks needed:
80 + 10x ≥ 150
10x ≥ 150 - 80
10x ≥ 70
x ≥ 70 ÷ 10 
x ≥ 7

Answer: She needs to save for for at least 7 weeks.

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Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14
Bess [88]

Answer:

f(x)=(x-4.5)^{2}-6.25  or f(x)=(1/4)(2x-9)^{2}-6.25

Step-by-step explanation:

we have

f(x)=x^{2}-9x+14

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-14=x^{2}-9x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}

f(x)+6.25=x^{2}-9x+4.5^{2}

Rewrite as perfect squares

f(x)+6.25=(x-4.5)^{2}

f(x)=(x-4.5)^{2}-6.25

f(x)=(1/4)(2x-9)^{2}-6.25

5 0
3 years ago
I really need help asap show all work​
Triss [41]

Note: Consider we need to find the factor form of the given expression by taking out the GCF.

Given:

The expression is:

-42k^3+24k^4+12k^5

To find:

The factor form of the given expression.

Solution:

We have,

-42k^3+24k^4+12k^5

It can be written as:

=6k^3(-7)+6k^3(4k)+6k^3(2k^2)

Taking out the greatest common factor (GCF), we get

=6k^3(-7+4k+2k^2)

Therefore, the factor form of the given expression is 6k^3(-7+4k+2k^2).

8 0
3 years ago
A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.
Olin [163]
Octagon = 8-side polygon

<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²

<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m

Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m

Answer: Slanted Height = 5 m

4 0
3 years ago
HELP I HAVE 10 MINUTES PLEASE GIVE ME A REAL ANSWER :
Dimas [21]

Answer:

the third one

Step-by-step explanation:

its easy

3 0
3 years ago
Car A used 40.5 L of gasoline to travel 450 km. Car B used 18.7 L to travel 220 km. Circle the car with better fuel mileage. Jus
kvasek [131]

Answer:

Car B has the better fuel economy.

Step-by-step explanation:

Calculate the fuel consumption for the two cars:

Car A:  (450 km) / (40.5 L) = 1.11 km per L

Car B:  (220 km) / (18.7 L) = 1.18 km per L

Car B goes further on one L of gasoline than Car A.  

3 0
3 years ago
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