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3 years ago

What is the sum of the given polynomials in standard form?

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Answer:

-x^2 + 2x - 3.

Step-by-step explanation:

(x² – 3x) + (-2x² + 5x – 3)

= x² – 3x - 2x² + 5x – 3

= -x^2 + 2x - 3.

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Please someone answer for this question

Maslowich

First one is 5/3
Second one is: 5
Third one is: 15

3 0

2 years ago

Read 2 more answers

Identify the linear term in the function. y = 2x2 − 5x − 12

uranmaximum [27]

Answer:

Step-by-step explanation:

The linear term is always the one with only one x. Always.

-5x has only a single x as a factor.

So - 5x is the linear term.

8 0

3 years ago

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

3 years ago

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 310 feet of antiqu

Alona [7]

The length and width of the garden are 93 feet and 62 feet respectively.

Explanation

Suppose, the length of the rectangular garden is $x$ feet.

As the width is exactly two-thirds of the length, so the width of the garden will be: $\frac{2x}{3}$ feet.

310 feet of antique picket fencing are to be used to enclose the garden. It means, the perimeter of the garden is 310 feet.

Formula for perimeter of rectangle $= 2(length+width)$

So, the equation will be....

$2(x+\frac{2x}{3})= 310\\ \\ x+\frac{2x}{3}= \frac{310}{2}\\ \\ \frac{5x}{3}=155\\ \\ 5x= 465\\ \\ x= \frac{465}{5}=93$

So, the length of the garden is 93 feet and the width is $(\frac{2*93}{3})=62$ feet.

7 0

3 years ago

An electrician charges a $100 flat fee, plus $75 per hour to work on a house.

jek_recluse [69]

Answer:

y=75x+100

Step-by-step explanation:

8 0

2 years ago