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3 years ago

5

Write the polynomial in standard form. Name the polynomial based on

1 answer:

PolarNik [594]3 years ago

5 0

The degree is 1, degree is the highest exponent. And as for the number of terms it’s 3.

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The sum of the squares of two consecutive positive even integers is 52.Find the integers

ankoles [38]

Answer:

The two consecutive positive integers are $4$ and $6$ .

Step-by-step explanation:

Let $x$ be an even integer, then the next even integer is $(x+2)$ .

The sum of the squares of these even integers is $52$ .

We can write the following equation and solve for $x$ .

$x^2+(x+2)^2=52$ .

We expand to get,

$x^2+x^2+4x+4=52$ .

We simplify to get,

$2x^2+4x+4-52=0$ .

This gives us,

$2x^2+4x-48=0$

We divide through by 2 to get,

$x^2+2x-24=0$ .

This is now a quadratic trinomial

We split the middle term to get,

$x^2+6x-4x-24=0$ .

We factor to obtain,

$x(x+6)-4(x+6)=0$

$\Rightarrow (x+6)(x-4)=0$

$\Rightarrow (x+6)=0 or (x-4)=0$

$\Rightarrow x=-6 or x=4$

We discard $x=-6$ since it is not a positive integer.

$\therefore x=4$

Hence the two consecutive positive even integers are,

$4$

and

$4+2=6$

5 0

4 years ago

Read 2 more answers

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width o

never [62]

the change in the scale factor is $\frac{45}{40}$ .Correct option C) StartFraction 45 feet over 40 feet EndFraction

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

Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:

Initially the ratio of width to actual width is :

⇒ $\frac{5}{45}$

Now , After 45 ft is changed to 40 ft , New ratio becomes :

⇒ $\frac{5}{40}$

So , change in scale factor is from $\frac{5}{45}$ to $\frac{5}{40}$ i.e.

⇒ $\frac{\frac{5}{40} }{\frac{5}{45} }$

⇒ $\frac{5}{40}(\frac{45}{5} )$

⇒ $\frac{45}{40}$

Therefore , the change in the scale factor is $\frac{45}{40}$ .Correct option C) StartFraction 45 feet over 40 feet EndFraction

8 0

4 years ago

Read 2 more answers

73 is what percent of 800

adoni [48]

Answer:

0.09125%

Step-by-step explanation:

Divide 73 by 800 and you will get 0.09125

3 0

3 years ago

Read 2 more answers

a bag of marbles contains 8 red marbles, 4 blue marbles, and 5 white marbles. tom picks a marble at random. is it more likely th

iVinArrow [24]

Answer:

It is more likely of a diffrent color.

Step-by-step explanation:

8 to 9

Red to other.

8 0

3 years ago

A rock climber ascends 18 3/4 feet to the top of a rock ledge the climber descends 8 1/8

ratelena [41]

Answer:

10 $10\frac{5}{8}$

Step-by-step

Reduce $\frac{3}{4}$ to $\frac{6}{8}$ and simply subtract.

5 0

2 years ago