Writing expressions. 3 times the sum of 4 and 8

Answer:

24x^4+18x^3-15x^2 -42x-24

Step-by-step explanation:

(6x^2-3x-6)(4x^2 +5x+4)=

6x^2*4x^2 +6x^2*5x+6x^2*4

-3x*4x^2 - 3x*5x-3x*4

- 6*4x^2 -6*5x-6*4=

24x^4+30x^3+24x^2-12x^3-15x^2 -12x

-24x^2-30x-24=

24x^4+18x^3-15x^2 -42x-24

Answer:

8 to the power of 0

Step-by-step explanation:

[tex]8^{0}[/tex] = 1

[tex]8^{-2}[/tex] = [tex]\frac{1}{64}[/tex]

To compare 8 to the power of 0 and 8 to the power of -2, we focus on understanding negative exponents. The answer is that 8 to the power of 0 is greater than 8 to the power of -2.

To compare 8 to the power of 0 and 8 to the power of -2, we need to understand how negative exponents work. When a power of 10 is transferred from the numerator to the denominator, the sign of the exponent changes. 8 to the power of 0 is 1 and 8 to the power of -2 is 1/64. Therefore, 8 to the power of 0 is greater than 8 to the power of -2.

Answer:

3/180= 60 seconds = 1m/per cut or 60 sec/per cut.

Step-by-step explanation:

This is 3 cuts executed from a board to get 5 parts.

Answer:

he cuts 1.6 section of a board in one minute

Step-by-step explanation:

They're telling you that it takes 3 minutes for the carpenter to cut one board into 5 qual section. Therfore how many sections he's cutting in one minute divide the 5 by three. With that you will have the rate

Answer:

About 95% of data lies between 15.6 and 32.4

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.4

Standard Deviation, σ = 4.2

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

We have to find the percentage of data lying between 15.6 and 32.4

[tex]15.6 = 24 - 2(4.2) = \mu - 2\sigma\\32.4 = 24 + 2(4.2) = \mu + 2\sigma[/tex]

Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4

Answer:

f(0) = 3x

g(-2) = 3x + 6

Step-by-step explanation:

f(x) = 3x

3x = 0

x= 0/3

x = 0

g(x) = 3x+6

3x+6= 0

3x= -6

x= -6/3

x = -2

Answer:

if there is a right angled square shape at the angle

Answer: MARK BRAINLIEST!!!!!!!!!

Because its the only triangle that has a 90 degree angle

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

10x = 8(x+1)

2x = 8

x = 4

Answer:

40 dollars

Step-by-step explanation:

We can say

x=amount each friend has to pay

Then, the price of the gift would be 10x because there are 10 friends and each pays x dollars. But since two friends dropped out, it will now become 8x. Also,  each of the 8 friends has to pay an extra dollar to go back to the original amount, so 8x+8 is also the price of the gift. We set these two expressions equal to each other (because they both represent the price of the gift) so

10x=8x+8. Using the subtraction property of equality (which says if a=b, then a-c=b-c) we subtract 8x from both sides to get

2x=8. Using the division property of equality (which says if a=b, then a/c=b/c) we divide by 2 on both sides to get x=4. But the question asked how much money they planned to collect, or what was the price of the gift, which is 10x, 10*4=40, 40 dollars.

Answer:

That is easy, the answer is B.

Step-by-step explanation:

First you have to graph the points of M and N and then you have to draw a line through the points of M and N and then graph the other points and whichever falls on the M,N line is the answer. So therefor the answer is B, (11,13)

Answer:

B?

Step-by-step explanation:

Answer:

Look at the rise over run

itd be 10/10 or 1

Answer:

[tex]x = - \: 12.55 \: or \: x = 12.55[/tex]

Step-by-step explanation:

We want to solve for x in

[tex] {x}^{2} + 4.7^{2} = 13.4^{2} [/tex]

We group constants on the right to get:

[tex]{x}^{2} = 13.4^{2} - {4.7}^{2} [/tex]

We apply difference of two squares

[tex]{x}^{2} = (13.4 - {4.7})(13.4 + 4.7)[/tex]

[tex] {x}^{2} = 157.47[/tex]

[tex]x = \pm \sqrt{157.47} [/tex]

[tex]x = \pm \: 12.55[/tex]

Answer:

x = -4 and -2x - 8

Step-by-step explanation:

Step 1:  Distribute

-1/3(6x + 15) - 3

-6/3x - 15/3 - 3

-2x - 5 - 3

-2x - 8

Step 2:  IF NEEDED SOLVE FOR X

-2x - 8 + 8 = 0 + 8

-2x / -2 = 8 / -2

x = -4

Answer:  x = -4 and -2x - 8

Answer:

60

Step-by-step explanation:

3:4:6

Add:

3+4+6=13

3:4:6=13

?:?:?=260

Divide:

260/13=20

Multiply 3 and 20:

60

SO there are 60 small uniforms

Answer:

-1/2, -3/2

Step-by-step explanation:

4b² + 8b + 3 = 0

8² - 4(4)(3) = 16 > 0

Real and distinct solutions

4b² + 6b + 2b + 3 = 0

2b(2b + 3) + 1(2b + 3) = 0

(2b + 3)(2b + 1) = 0

b = -1/2, -3/2

The measure of arc GC is 90°

Solution:

Given data:

m∠CHD = 90°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠GHC + m∠CHD = 180°

⇒ m∠GHC + 90° = 180°

Subtract 90° from both sides, we get

⇒ m∠GHC = 90°

The angle measure of the central angle is equal to the measure of the intercepted arc.

[tex]m\angle GHD = m (ar \ GC)[/tex]

90° = m(ar GC)

Switch the sides.

m(ar GC) = 90°

The measure of arc GC is 90°.

Answer:

slope = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Calculate the slope using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1+3}{0+5}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

[tex]x=5\\\\y=2[/tex]

Step-by-step explanation:

Given Equations:

        [tex]-6y= -20 + 2x[/tex]    Equation:1

Solving Equation:1 Adding '[tex]6y[/tex]' to both the sides:

             [tex]2x+6y-20=0[/tex]  

Adding '20' both the sides:

              [tex]2x+6y=20[/tex]   Equation:2

[tex]2x - 4y=0\\[/tex]  Equation:3

Subtracting Equation:3 From Equation:2

          [tex]2x+6y-(2x-4y)=20-0\\\\2x+6y-2x+4y=20\\\\10y=20\\\\y=\frac{20}{10}\\\\ y=2[/tex]

Putting the value of 'y' in equation:3

          [tex]2x - 4y=0\\[/tex]

          [tex]2x-4(2)=0\\\\2x-8=0[/tex]

Adding '8' to both the sides

             [tex]2x=8\\\\x=8/2\\\\x=5[/tex]

SO,  

              [tex]x=5\\\\y=2[/tex]

Answer:z=(pd+59)/(2-p)

Step-by-step explanation:

-p(d+z)=-2z+59

Open bracket

-pd-pz=-2z+59

Collect like terms

2z-pz=pd+59

Factor out z

z(2-p)=pd+59

Divide both sides by (2-p)

z(2-p)/(2-p)=(pd+59)/(2-p)

z=(pd+59)/(2-p)

Answer:

r=11

Step-by-step explanation:

3x11=33

so therefore r=11

Answer:

7.5

Step-by-step explanation:

5 x 3 = 15

5.5 x 3 = 16.5

Triangle PQR has 3x the amount as ABC on each side, therefore, n = 7.5

Step-by-step explanation:

8n+4-6n/2

8n+4-3n

5n+4

Answer:

n+2

Step-by-step explanation:

to  simplify this expression 8n+4-6n/2

we have,

{8n-6n + 4}/2

{2n + 4}/2

to further simplify this expression {2n + 4}/2 , we are going to factorize 2 from the numerator ,

we have

=2(n +2)/2

the next step to simplify the 2(n +2)/2 further is to use the factorised 2 at the numerator to divide the 2 at the denominator so that we can have a simplified expression.

we have

=2(n +2)/2

=n+2

therefore  the simplified form of the expression 8n+4-6n/2 is n+2

Answer:

[tex]y=4x-7[/tex]

The graph in the attached figure

Step-by-step explanation:

In this problem I will assume the the function is linear

we have the point (2,1)

we know that

y increases by 4  when x increases by 1

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

The slope of the linear function is

[tex]m=\frac{4}{1}[/tex]

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

substitute

[tex]y-1=4(x-2)[/tex]

Convert to slope intercept form

Isolate the variable y

[tex]y-1=4x-8\\y=4x-8+1\\y=4x-7[/tex]

see the attached figure to better understand the problem

The question pertains to the characteristics of a linear function whose graph passes through the point (2, 1) with a slope of +4, indicating an increase of 4 in y for every increase of 1 in x. The line's positive slope suggests the graph rises as the x-value increases. The equation of the line is y=4x-7.

The student is asking a question about the characteristics of a linear function based on its graph. Specifically, since the graph passes through the point (2, 1) and the value of y increases by 4 when x increases by 1, we can conclude that the slope of the line is +4. This is because the slope of a line represents the change in y divided by the change in x. Given that the slope is positive, this line will show an upward trend on the graph as the x-value increases, much like other graphs with a positive slope.

To find the equation of the line, we start by using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. We use the point (2, 1) and the slope 4 to solve for b. The process is as follows:
1 = 4(2) + b
1 = 8 + b
b = -7

Therefore, the equation of the function is y = 4x - 7.

Step-by-step explanation:

i hope this helps

Answer:

 2X+20 = 400                        

Answer:

yup, its positive

two times cancels out, but then the third time made it negative again

Answer:

The decimal point should be moved Six places to the right side because there are Six zeros in 10 to the power of 6.

Step-by-step explanation:

As we have to represent the number in the form of [tex]10^{6}[/tex] we need to move the decimal Six places towards left because there are Six zeros in [tex]10^{6}[/tex] i.e. 1000000. For this purpose we will add four zeros to the left of the number.

So the number in the format mentioned in question will look like -

0.00003405 × [tex]10^{6}[/tex].

Answer:

Reflection

Step-by-step explanation:

It is reflecting across the Y axis. It is not a dialation, since it is the same shape, but not a different size. Its not rotation, because it wasnt rotated to get to the new shape. And it is not translation, because it is not exactly the same shape (the shape was mirrored)

Answer:

A. 4x^2 - 9

Step-by-step explanation:

2x * 2x = 4x^2

2x * -3 = -6x

3 * 2x = 6x

-3 * 3 = -9

-6x + 6x  = 0, so we're left with 4x^2 - 9

Answer:

B. (2x − 3)(2x + 3)(4x2 + 9)

Step-by-step explanation:

Answer:

y < 1.1

Step-by-step explanation:

Step 1:  Subtract 2.1 from both sides

-4.2y + 2.1 - 2.1 > -2.52 - 2.1

-4.2y > -4.62

Step 2:  Divide both sides by -4.2

-4.2y / -4.2 > -4.62 / -4.2

Since you divided by a negative, that flips the sign.

y < 1.1

Answer:  y < 1.1

Answer: Y < 1.1

Step-by-step explanation: I took the quiz, i hope this helps! :)