Create a list of steps, in order, that will solve the following equation.
3(x + 1)2 = 108

Solution steps:

- Add 1 to both sides

- Divide both sides by 3

- Multiply both sides by 3

- Subtract 1 from both sides

- Square both sides

- Take the square root of both sides

PLSS HELP!!

→Answer:

[tex]50.3cm^2[/tex]

→Step-by-step explanation:

Well the formula for the area of a circle is [tex]\pi r^2[/tex].

→Given information

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

Answer:

The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.

Step-by-step explanation:

Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:

As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.

Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.

It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.

Answer:

3x^2(3+x)

Step-by-step explanation:

Answer: 3x^2(3+1)

Because it is divisible by 3 and x^2

Answer:

y = -5x + 12

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write given line in slope-intercept form

2y = -2 - 10x

y = -1 - 5x

A parallel line has the same slope but different y-intercept. Therefore, our answer is the 1st Option.

Answer:

A. y = -5x + 12.

Step-by-step explanation:

10x + 2y = -2

2y = -10x - 2

y = -5x - 1

If there is a line parallel to the one listed above, the slope of the second line will be the same as the first.

That means that the line would have a slope of -5.

Since the question asks us to leave the answer in slope-intercept form, we will find an answer that has a slope of -5 in the form of y = mx + b.

Hope this helps!

The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function

MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U

Answer: V+100

Step-by-step explanation: If your trying to get 0 then there is your answer

Answer:

 V-100 = 0 + 10i

so 0 and 10

Step-by-step explanation:

Answer:

7x^5+2x^2+6

Step-by-step explanation:

7x^5+2x^2+6

6x^7-x^4+5

6x^5+x^4+7

7x^6-6x^4+5

5th degree polynomial means the the term with highest degree has degree 5.

7x^5+2x^2+6

6x^7-x^4+5

6x^5+x^4+7

7x^6-6x^4+5

Leading coefficient is the coefficient of the term with highest degree.

Constant is the number with no variable.

7x^5+2x^2+6

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

Answer:

x≥5

Step-by-step explanation:

The function f(x)=2*sqrt(x-5) is transformed from the parent function f(x)=sqrt(x) by:

vertically stretched by a factor of 2

right 5 units

a parent rational equation has a domain of [0,+∞)

this certain equation is moved 5 units to the right, so the domain is:

[0+5,+∞)⇒[5,+∞)

So the domain of f(x)=2*sqrt(x-5) is [5,+∞)

which as an inequality is x≥5

Answer:

Let's solve for the radius.

r = C / 2π = 88 / (2 * 22/7) = 14

Volume of a cone = 1/3 * πr²h

= 1/3 * 22/7 * 14² * 15

= 3080 cm³

Answer: 56g flour

Step-by-step explanation: 140/20 = 7g

7 x 8 = 56g

Answer:

90

Step-by-step explanation:

You're equation is a * b, and that is equal to 6 * 15.

so, it is 90.

Answer:

its 1260°.

as by the formulae,

(n-2)×180°

we get,

sum of interior angle =(9-2)×180°

=1260°.....is anwer.

Answer:

C

Step-by-step explanation:

The set of points with the same x has an undefined slope

Answer:

C.  (-3, -3) and (-3, 3)

Step-by-step explanation:

(-1, 1) and (1, -1)

Slope  = (-1-1) / (1 - (-1))

= -2 / 2 = -1.

(-1,2) and (2,2)

Slope = ( 2-2)/ ( 2 - -2)

= 0

(-3, -3) and (-3, 3)

Slope =  (3 - -3) / (-3 - (-3)

= 6 / (-3+3)

= 6/0  -  UNDEFINED.

The line joining these points is vertical.

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b:  general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b.  Then b must be 8, and the desired equation is

y = 5x + 8

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

[tex]x=12,\:y=6[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\frac{2}{3}x+3y=26[/tex]

[tex]\frac{2}{3}x+3y-3y=26-3y[/tex]

[tex]\frac{2}{3}x=26-3y[/tex]

[tex]3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y[/tex]

[tex]2x=78-9y[/tex]

[tex]\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}[/tex]

[tex]x=\frac{78-9y}{2}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}[/tex]

[tex]78-\frac{17}{2}y=27[/tex]

[tex]78-\frac{17}{2}y-78=27-78[/tex]

[tex]-\frac{17}{2}y=-51[/tex]

[tex]2\left(-\frac{17}{2}y\right)=2\left(-51\right)[/tex]

[tex]-17y=-102[/tex]

[tex]\frac{-17y}{-17}=\frac{-102}{-17}[/tex]

[tex]y=6[/tex]

[tex]x=\frac{78-9\cdot \:6}{2}[/tex]

[tex]x=12[/tex]

[tex]x=12,\:y=6[/tex]

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

----------------------------------------------------

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

Answer:

x=-14 and y = 9

Step-by-step explanation:

hello

4x + 8y = 8 <=>  divide by 4 both parts

(1) x + 2y = 4

(2) x + 3y = 13

(2) - (1) gives

x + 3y -x - 2y = 13 - 4 = 9

<=> y = 9

we replace in (1) x + 2*9 = 4

<=> x = 4 - 18 = -14

so x = -14

hope this helps

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

Answer:

-180-x

Step-by-step explanation:

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)

14) The remainder when the expression  ax³ + bx² + 2x + c is divided by x-1

is twice of that when it is divided by  x + 1. Show that c = 3a - b + 6.

Answer:

ii) R(x) = -4x + 9

14) c = 3a - b + 6 ( Proved)

Step-by-step explanation:

14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]

To get the remainder when the expression  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by

x - 1, let x - 1 = 0; x = 1

Remainder:

[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]

When  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1

Let x + 1 = 0; x = -1

Remainder:

[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]

According to the question, R₁(x) = 2R₂(x)

a + b + 2 + c = 2(-a + b - 2 + c)

a + 2a +b - 2b + 2 + 4 = 2c - c

c = 3a - b + 6 ( Proved)

ii)

The dividend is f(x)

(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)

Let the quotient = A(x)

Let the Remainder, R(x) = ax + b..............(1)

Therefore, f(x)  = A(x)D(x) + R(x)

f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)

When f(x) is divided by x - 1, x = 1

Put x = 1 into equation (2) knowing that R(1) = 5

f(1) = R(1) = 5

R(1) = a(1) + b = 5

a + b = 5....................(3)

When f(x) is divided by x + 2, x = -2

Put x = -2 into equation (2) knowing that R(-2) = 17

f(-2) = R(-2) = 17

R(-2) = a(-2) + b = 17

-2a + b = 17..................(4)

Subtracting equation (1) from (2)

-3a = 12

a = -12/3

a = -4

Substitute the value of "a" into equation (4)

-2(-4) + b = 17

8 + b = 17

b = 9

Since R(x) = ax + b

R(x) = -4x + 9

Answer:

x = -1/4(y +3)2 - 2.

Step-by-step explanation:

Here are the steps:

Find if parabola is horizontal or vertical

Find vertex and substitute into equation of step 1

Use another point to find a in the equation.

--------------------------------------------------------------------------------

Parabola is obviously vertical.

that means we use x = a(y - k)2 + h

Our vertex is (-2,-3), and it's also (h, k)

so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,

we get x = a(y +3)2 - 2.

It's not over yet, cuz we still need a.

so, we substitute in a point (x, y). We can use (-4, 1).

We plug in and get -4 = a(1 +3)2 - 2.

We solve like a one variable linear equation and get a = -1/4

Thus our equation is x = -1/4(y +3)2 - 2.

Answer:

first one is the right one

Step-by-step explanation:

Answer:

Step-by-step explanation:

What sis line of best fit?

The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.

Why do we want the sum of the residuals to be as close to zero as possible?

The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.

We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.

Answer:

Step-by-step explanation:

We wan the residuals to be closest to zero because they will help use later in the equation.

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

5²x² - 1² = 0

(5x - 1)(5x + 1) = 0

5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

Answer:

108cm[tex]^{3}[/tex]  (B)

Step-by-step explanation:

Find the area of the triangle first.

6 * 4  = 24/2 = 12

Multiply by the width.

12 * 9 = 108

Hey there! :)

Answer:

B. V = 108 cm³.

Step-by-step explanation:

Find the volume of the triangular prism using the formula:

V = 1/2(bh) where b = l × w

Solve for the base:

b = 4 × 9

b = 36 cm²

Plug this into the formula for the volume:

V = 1/2(36 · 6)

V = 1/2(216)

V = 108 cm³. The correct answer is B.

Answer:

2/5x

Step-by-step explanation:

x% of 40= x/100×40

= 40/100x = 2/5x

Answer:

she needs to save up for 3 months

Step-by-step explanation: