A rectangle has a height of 5 and a width of 4x^2-2x-6.Express the area of the entire rectangle. Expression should be expanded.​

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

Answer:

Okay...

Step-by-step explanation:

I don't understand what you are talking about, but I can list you the factor pairs of 16!

16=1,16; 2,8; 4,4

Thise are all the factor pairs

Answer:

1 x 16,

2 x 8

4 x 4

Factors of 16: 1, 2, 4, 8, 16

Answer:

-Total amount Rafael ended up paying for the motorcycle: $25,186.2

-Interest: $1,586.2

Step-by-step explanation:

You can find the total amount Rafael ended up paying by adding up the down payment plus the result of multiplying the monthly payment for the number of months he paid:

Total payment=3,300+(364,77*60)

Total payment=3,300+21,886.2

Total payment=25,186.2

Now, to calculate the amount of interest that Raphael paid on the loan, you should subtract the price of the motorcycle from the total amount Raphael paid:

Interest=$25,186.2-$23,600

Interest=$1,586.2

Answer:

The simplest form is 6m+91.

Step-by-step explanation:

Consider the given information.

[tex]-10(-3m-10)-3(-8m+3)[/tex]

First, remove the parenthesis by multiplying -10 and -3 inside the parenthesis.

[tex]30m+100-24m-9[/tex]

Now, rearrange the like terms.

[tex]30m-24m+100-9[/tex]

Combine the like terms.

[tex]6m+91[/tex]

Hence, the simplest form is 6m+91.

the answer to the equation is -9

Answer: 0.6

Step-by-step explanation:

x1=1

x2= 9

y1=1

y2=6

SLOPE OF THE LINE

= y2-y1/x2-x1

= 6-1/9-1

=5/8

=0.6

Answer:

we need numbers please

Answer:

$1.76

Step-by-step explanation:

:)

Answer:

10% of $50.00 is $5.00 SO ORGINAL PRICE IS $55.00

Step-by-step explanation:

50÷10=5

5 00+50.00= $55.00

Answer:

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]  ⇒ G

Step-by-step explanation:

The rule of the slope of a line is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line

∵ The coordinates of the point J are (-7, 4)

∵ The coordinates of the point L are (-4, 0)

∴ x1 = -7 and y1 = 4

∴ x2 = -4 and y2 = 0

→ Substitute them in the rule above to find the slope of LJ

∴ [tex]m_{JL}=\frac{0-4}{-4-(-7)}[/tex]

∵ The coordinates of the point M are (-10, 8)

∵ The coordinates of the point P are (-1, -4)

∴ x1 = -10 and y1 = 8

∴ x2 = -1 and y2 = -4

→ Substitute them in the rule above to find the slope of MP

∴ [tex]m_{MP}=\frac{-4-8}{-1-(-10)}[/tex]

∵ The slope of JL = the slope of MP

∴  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

(50×20) - (1×20)

Step-by-step explanation:

there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20

Answer:

x = 2y

Step-by-step explanation:

Simplifying

3x + -6y = 0

Solving

3x + -6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

3x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0

3x + 0 = 0 + 6y

3x = 0 + 6y

Remove the zero:

3x = 6y

Divide each side by '3'.

x = 2y

Simplifying

x = 2y

Answer:

What I think, Is that it... It might be, It can take 3 seconds

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

Answer:

Multiply y = 0 by -1

Step-by-step explanation:

Given

y = 0 (1)

x + y = 40 (2)

What should you multiply the equation y=0 by so that when added to x + y = 40, the variable y will cancel out ?

Multiply (1) by -1

y = 0 × -1

-y = 0 (1b)

Add (1b) and (2)

-y = 0

x + y = 40

(0 + x) + (-y + y) = 0 + 40

x + (0) = 40

x = 40

You should multiply the equation y = 0 by -1 so that when added to x + y = 40 the variable y will cancel out

2 sin²(x) + 3 sin(x) + 1 = 0

(2 sin(x) + 1) (sin(x) + 1) = 0

2 sin(x) + 1 = 0   OR   sin(x) + 1 = 0

sin(x) = -1/2   OR   sin(x) = -1

The first equation gives two solution sets,

x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ

x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ

(where n is any integer), while the second equation gives

x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ

2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0

2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0

(2 sec(x) + 1) (cot(x) + 1) = 0

2 sec(x) + 1 = 0   OR   cot(x) + 1 = 0

sec(x) = -1/2   OR   cot(x) = -1

cos(x) = -2   OR   tan(x) = -1

The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives

x = tan⁻¹(-1) + nπ = -π/4 + nπ

sin(x) cos²(x) = sin(x)

sin(x) cos²(x) - sin(x) = 0

sin(x) (cos²(x) - 1) = 0

sin(x) (-sin²(x)) = 0

sin³(x) = 0

sin(x) = 0

x = sin⁻¹(0) + 2nπ = 2nπ

2 cos²(x) + 2 sin(x) - 12 = 0

2 (1 - sin²(x)) + 2 sin(x) - 12 = 0

-2 sin²(x) + 2 sin(x) - 10 = 0

sin²(x) - sin(x) + 5 = 0

Using the quadratic formula, we get

sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2

but the square root contains a negative number, which means there is no real solution.

2 csc²(x) + cot²(x) - 3 = 0

2 (cot²(x) + 1) + cot²(x) - 3 = 0

3 cot²(x) - 1 = 0

cot²(x) = 1/3

tan²(x) = 3

tan(x) = ± √3

x = tan⁻¹(√3) + nπ  OR   x = tan⁻¹(-√3) + nπ

x = π/3 + nπ   OR   x = -π/3 + nπ

Answer:

7/20

Step-by-step explanation:

Answer:

0.348

Step-by-step explanation:

Answer:

.348

Step-by-step explanation:

Hope this helped

Answer:

x = 12.64911064

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 14^2

36 + b^2 = 196

Answer:

y=-(1)/(7)x+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question:

Prove the following statement directly from the definitions.

The difference of any two rational numbers is a rational number.

Answer, see attachment for proof.

Answer:

6x + 2 = 3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example I'm using x)

When you put it all together, it is 6x + 2 = 3

The required equation is 6x + 2 = 3.

It is required to find the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers

Given:

The sum of 6 times a number and 2 equals 3.

According to given question we have,

Let the number be x.

6 times a number would be

6x

The sum of 6 times a number and 2 equals 3.

6x + 2 = 3.

Therefore, the required equation is 6x + 2 = 3.

Learn more about equation here:

brainly.com/question/18760193

#SPJ2

Answer:

the answer is a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Answer:

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes cost of each item bought by Spongebob.

Number of items bought by Spongebob = 3

So,

Cost of items bought by Spongebob = [tex]3x[/tex]

Cost of each item bought by Patrick = [tex]x-1.50[/tex]

Number of items bought by Patrick = 5

Cost of items bought by Patrick = [tex]5(x-1.50)[/tex]

Both Spongebob and Patrick paid the same amount of money.

So,

[tex]3x=5(x-1.50)\\3x=5x-7.5\\5x-3x=7.5\\2x=7.5\\x=\frac{7.5}{2} \\x=3.75[/tex]

So,

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]

Answer:

Step-by-step explanation:

If the number is 10 so

Product of 10 and 3 = 10 x 3 = 30

Subtracting by 7 = 30 - 7 = 23

So the number is 10

Answer:

Step-by-step explanation:

10 (10+2)

Answer:

Marina's design uses more cardboard.

in Kristen's design, it uses:

3*4/2*2+10*5+3*10+4*10=132 sq inches.

in Marina's design, it uses:

6*3*2+3*7*2+7*6*2=162 sq inches.

132<162

Therefore Marina's design uses more cardboard.

The difference between 2 designs are:

162-132

=30 sq inches