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3 years ago

Let f and g be two functions defined as

2 answers:

7 0

$a) \: (f \times g)(x) = (2x + 5)( {x}^{2} - 7x + 5) \\ b) \: (f \times g)(4) = (2 \times 4 + 5)( {4}^{2} - 7 \times 4 + 5) = 13( - 7) = - 91$

Andru [333]3 years ago

7 0

Answer:

negative 91

Step-by-step explanation:

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The rectangles below are similar in shape. How wide is the smaller rectangle?

Amanda [17]

Answer:

$\huge\boxed{x=28\ ft}$

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

$\dfrac{x}{42}=\dfrac{36}{54}$

cross multiply

$54x=(42)(36)\\\\54x=1512$

divide both sides by 54

$\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28$

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3 years ago

Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?

dalvyx [7]

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

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2 years ago

Olivia deposit 6952 in a savings account paying 3.72% interest to the nearest dollar how much money does Olivia have in total af

lianna [129]

Pretty sure 11,090!............................

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3 years ago

What is the radian measure for an angle that measures 720 degrees?

Scrat [10]

Answer:

720 degrees = $\frac{\pi}{4}\ radians$ or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree = $\frac{\pi}{180}\ radians$

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

$720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians$

Hence, the measure of 720 degrees in radians is $\frac{\pi}{4}\ radians$ or 0.25π radians or 0.785 radians.

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3 years ago

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The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the fir

Murljashka [212]

Answer:

85.25

Step-by-step explanation:

155 x (11/20) =85.25 feet

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3 years ago

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