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3 years ago

8

A customer buys an item that originally costs x dollars from a retail store and uses a $10.00 off coupon. The store clerk uses t

he function C(x)=1.06(x−10) to calculate the final cost of the customer’s item.

1 answer:

morpeh [17]3 years ago

4 0

Answer:

the value of c(30) is 21.2, which represents the customers final cost of $21.20

Step-by-step explanation:

d

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Andreas93 [3]

Answer:

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Step-by-step explanation:

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3 years ago

7x(7) + 7(2) = 7(x+2)

Rudik [331]

Answer: One

Step-by-step explanation:

7x(7) + 7(2) = 7(x + 2)

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3 years ago

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The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to ap

Airida [17]

Answer:

10.7 liters of paint required

Step-by-step explanation:

Dimensions of the room

7.7 m by 14.8 m with the height of 2.4 m

Find the surface area of the 4 walls

A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²

Convert the area to ft²

108 m² = 108*10.7639 ft² = 1162.5012 ft²

Find the amount of paint required

1162.5012/410 = 2.84 gal (rounded)

Covert the volume to liters

2.84 gal = 2.84*3.76 l = 10.7 l (rounded)

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2 years ago

Find the derivative g(x)=ln(2x^2+1)

lana [24]

Answer:

4x / (2x^2+1)

Step-by-step explanation:

g(x)=ln(2x^2+1)

Using u substitution

u= 2x^2 +1

du = 4x dx

g'(x) = d/du ( g(u) du)

We know that the derivative of ln(u) = 1/u since this is always positive

= 1/ u* du

Substituting x back into the equation

g'(x) = 1/(2x^2+1) * 4x

= 4x / (2x^2+1)

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3 years ago

The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of t

Tresset [83]

Answer: $307.11\ ft$

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is $23^{\circ}$

Suppose the length of the road is $x$

From the figure, we can write

$\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft$

Thus, the length of the road is $307.11\ ft$

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3 years ago