Please show work for problem

Answer:

(3x + 4)(3x + 4)

Step-by-step explanation:

[tex]9x^2+ 24x +16 \\ \\ = 9x^2+ 12x + 12x +16 \\ \\ = 3x(3x + 4) + 4(3x + 4) \\ \\ = (3x + 4)(3x + 4)[/tex]

The function represent the quadratic function is h(x) = 3x(x – 2) – 4, the correct option is D.

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.

The function which represnt a quadratic function is;

[tex]\rm h(x) = 3x(x - 2) - 4\\\\ h(x)=3x\times x - 3x \times 2-4\\\\ h(x)=3x^2-6x-4[/tex]

The highest degree of the function is 2 so the function is the quadraic function.

Hence, the function represent the quadratic function is h(x) = 3x(x – 2) – 4.

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The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a rectangular prism is given by:

Volume = length * width * height

a) Dimensions: 4 in., 3 in., 6 in.

Volume = 4 * 3 * 6 = 72 in³

b) Dimensions: 6 in., 3 in., 2 in.

Volume = 6 * 3 * 2 = 36 in³

c) Dimensions: 4 in., 5 in., 4 in.

Volume = 4 * 5 * 4 = 80 in³

d) Dimensions: 2 in., 9 in., 3 in.

Volume = 2 * 9 * 3 = 54 in³

The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

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Answer:

-5+(-3)

=-5-3

=-8

Step-by-step explanation:In a problem like this you have to write -3 in parentheses.

Since the + sign is outside the parentheses here, the -3 and + sign are multiplied.

+ saha- multiplication yields -sign.

So there's a -3 coming.

Then -5-3.

Since the sign of this is the same, the two numbers are added. In both - the mark is applied to the answer because there is a mark.

Answer:

5, -6

Step-by-step explanation:

We just need to find out the factors of -30 and they are 1 x -30, 2 x -15, 3 x 10 and 5 x -6. We can try out every factor to add  so it's either:

-29

-13

-7

-1

the last is the answer we're looking for so it's 5 x -6

The 2 numbers are 5 and -6

The mean abosolute deviation of the given data set is: 42.9422.

The mean absolute deviation is the avergae of the distance of each data point from the mean of the data set.

Given:

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202

Mean: (23 + 75 + 79 + 99 + 105 + 110 + 110 + 142 + 149 + 168 + 168 + 170 + 183 + 195 + 202)/15

Mean = 1978/15 = 131.8667

Mean aboslute deviation = [(23 - 131.8667) + ( 75 - 131.8667) + ( 79 - 131.8667) + ( 99 - 131.8667) + ( 105 - 131.8667) + ( 110 - 131.8667) + ( 110 - 131.8667) + ( 142 - 131.8667) + ( 149 - 131.8667) + ( 168 - 131.8667) + ( 168 - 131.8667) + ( 170 - 131.8667) + ( 183 - 131.8667) + ( 195 - 131.8667) + ( 202 - 131.8667)] / 15

Mean aboslute deviation = 644.1333/15 = 42.9422

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Answer: Angle 1= 32 degrees

Angle 2=90 degrees

Angle 3=58 degrees

Angle 4=32 degrees

Answer:

Step-by-step explanation:

(4sqrt2)/4 = 4/(projection)

sqrt2 = 4/(projection)

projection = 2sqrt2

So by the Pythagorean theorem, the altitude is also 2sqrt2.

Answer:

B

Step-by-step explanation:

Edge

Answer:

9b²-4

Step-by-step explanation:

(3b-2)(3b+2)

9b²+6b-6b-4

9b²+0-4

9b²-4

first to answer, pls brainliest.

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Step-by-step explanation:

The value of x can be found by using the formula for the area of a trapezoid. The value of [tex]$x$[/tex] is [tex]$4$[/tex] inches.

Area is a two-dimensional measurement that is used to measure the size of a shape or surface. It is measured in square units, such as square centimeters, square meters, square kilometers, and so on. The formula for the area of a trapezoid is: [tex](a+b)/2 *h[/tex], where a and b are the lengths of the parallel sides, and h is the height. Mrs. Katz needs to calculate the value of x by plugging in the lengths of the parallel sides and the height into the formula.

We know that the opposite sides of a trapezoid are parallel, so we have [tex]AB \parallel DC.[/tex]

Using the given information, we can set up an equation in terms of [tex]$x$[/tex] and solve for it. We know that the height of the trapezoid is [tex]$8$[/tex] inches, and we know that the bases are [tex]$x$[/tex] inches and [tex]$16$[/tex] inches.

Using the formula for the area of a trapezoid, we have:

[tex]\text{Area} = \frac{1}{2}(AB+DC)(\text{height})[/tex]

Plugging in the values we know, we get:

[tex]\text{Area} = \frac{1}{2}(x+16)(8)[/tex]

We are also given that the area of the trapezoid is [tex]$100$[/tex] square inches, so we can set up an equation:

[tex]100 = \frac{1}{2}(x+16)(8)[/tex]

Simplifying and solving for [tex]$x$[/tex], we get:

[tex]100 &= \frac{1}{2}(x+16)(8)\20 &= (x+16)\x &= 4[/tex]

Therefore, the value of [tex]$x$[/tex] is [tex]$4$[/tex] inches.

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#SPJ1

Answer:

see below

Step-by-step explanation:

5 + y x 3 = 2y - 1

Answer:

i'm really not sure i'm sorry-

Step-by-step explanation:

ima get my smart friend to find the answer for you <3

24 minutes.

Let me explain.

The lawn can be any size, but for the purpose of simplicity, let's say it's 240 square meters.

Peter mows 6 square meters per minute if he mows 240 square meters in 40 minutes.

John mows 4 square metres each minute if he mows 240 square metres in 60 minutes.

They'll mow 10 square meters per minute if they work together.

As a result, mowing the entire lawn will take them 24 minutes.

(Note that the location is irrelevant as long as we know how long each man takes to complete the task separately.) The answer would be the same if the field was 1 million hectares in size.)

I hope this helps.

Answer:

[tex]a)\ y=-\frac{1}{3}x[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}[/tex]

[tex]y=mx+b\\y=-\frac{1}{3}x +b[/tex]

(0, 0)

[tex]y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b[/tex]

[tex]y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x[/tex]

Check your answer:

[tex]y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1[/tex]

This statement is true

Hope this helps!

Answer:

40cm

Step-by-step explanation:

Convert mm to cm

Create equation

11cm·0.7mm·Lmm=308cm³

solve for L

7.7L=308

L=40

Answer:

[tex]\sf slope: \dfrac{5}{4}[/tex]

[tex]\sf y-intercept: 0[/tex]

explanation:

comparing with the formula: y = mx + b  

Here the input equation: y = 5/4 x + 0

[tex]\hookrightarrow[/tex] m = 5/4 and b = 0

A Control Chart is a tool that uses time-ordered values of a sample statistic to help detect the presence of correctable causes of variation in a process.

There are various kinds of control charts. They are:

The most commonly used control chart is the Individuals and Moving Range Chart.

Learn more about control chart at:

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Answer:

y = -1/5x + 6.4

Step-by-step explanation:

Use the point-slope formula.

y-y₁ = m(x -x₁)

so...

y-7 = -1/5(x - (-3))

y = -1/5x+ 32/5

and you need you can change 32/5 to 6.4

Hope this helps!

Twice means two times

18.9 - 2x = 9.9

18.9 -18.9 -2x=9.9 - 18.9

-2x=9.9 - 18.9

(-2x= -9) divide both sides by negative two

-2x/-2 = -9/-2

x=4.5

Answer:

3x+12=57 x= how many days

Step-by-step explanation:

Answer:

C. 3d=45

Step-by-step explanation:

subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45

The rate of change or essentially the slope is a numerical value that describes the direction and the steepness of the line.

To find the slope, we just need any two points on the line

       --> Let's pick (0,2) and (2,6)

The slope's equation = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's plug the known quantities into the equation

     [tex]\frac{y2-y1}{x2-x1}=\frac{6-2}{2-0} =\frac{4}{2} =2[/tex]

Therefore the rate of change is 2 km/trip

Hope that helps!

Answer:

divide 8 and 398 and you will get ur answers

Answer:

1 gallon per 19.64mi

Step-by-step explanation:

275/14 =19.6428571429

Answer:

19.65 miles per gallon

Step-by-step explanation:

That is your answer because you have to divide the amount of gallons by miles.

275/14 = 19.65 miles per gallon

I hope it helps! Have a great day!

bren~!

Answer:

P=58in.²

Step-by-step explanation:

do you really need explanation? I don't know how to explain it to you I just calculated it gradually...

Answer: 4

Step-by-step explanation:

Well 15/4 is 3.75 so to get the whole number you need to round up

.75 rounds up to .8 now round 3.8 well 3.8 rounded up is 4 there's your answer! :)