Which statements are true? Select 3 options

Answer:

17 units

Step-by-step explanation:

Answer:

y=4x-26

Step-by-step explanation:

First, a parallel equation, ALWAYS has the same slope. Just plug in your x value into 4(x) , then find a number that adds or subtracts to get your y value, and that number you added or subtracted is your y-intercept.

The equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11 is y = 4x - 26

The equation of the linear passes through the point (6, -2) and is parallel to the line y = 4x - 11

Parallel lines have the same slope.

Therefore,

y = 4x - 11

using

y = mx + b

where

m = slope

b= y-intercept

Therefore, the slope of y = 4x - 11 is 4.

And the slope of the other line will be 4 because they are parallel.

Therefore,

y = mx + b

y = 4x + b

it passes through (6, -2)

-2 = 6(4) + b

-2 - 24 = b

b = -26

The equation will be y = 4x - 26

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Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer:

5

5

15

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

-6x - 29 = 5x - 7​

Add -6x to both sides

-29 = 11x - 7

Add 7 on both sides

-22 = 11x

Divide

[tex]\frac{-22}{11}[/tex] = [tex]\frac{11x}{11}[/tex]

x = -2

Answer:

x = -2

Step-by-step explanation:

move the terms

collect like terms

-11x = 22

divide both sides of the equation by -11

Answer:

B. 3y + 4

Step-by-step explanation:

Step 1:

3 (y - 1) + 7

Step 2:

3y - 3 + 7

Answer:

3y + 4

Hope This Helps :)

Answer:

546

Step-by-step explanation:

Formula: 0.5*[sum of parallel sides] *height

Answer:

636 in.²

Step-by-step explanation:

First divide the shape into three pieces, you will get a triangle and two rectangles, the base of the triangle is 30 in. The height is 8 in. Multiply 30×8 to get 240 and then divide by two to get 120. Next the rectangle on top has sides that are 24 in. and 8 in. You will get 192. Lastly the rectangle on the bottom has sides of 54 in. and 6 in. For this you will get 324. Finally you add up 120+192+324 to get 636 in.²

==================================================

Explanation:

The given piecewise function is

[tex]f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}[/tex]

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations

In a sense, we have three different functions but they are combined somehow.

If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.

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

f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition

f(x) = -4x+3

f(-5) = -4(-5)+3

f(-5) = 20+3

f(-5) = 23

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

Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition

f(x) = 3x^2+1

f(12) = 3(12)^2+1

f(12) = 3(144)+1

f(12) = 432+1

f(12) = 433

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

Side notes:

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

Answer:

x = 12.

Step-by-step explanation:

5/2x - 7 = 3/4x + 14.

put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.

5/2x - 3/4x = 14 + 7

7/4x = 21.

divide both sides by the reciprocal of 7/4, the number next to the unknown

so x = 21 ×4/7

x = 12.

Answer:

4/9 pounds

Step-by-step explanation:

5 1/3 pounds of pretzels divided equally for 6 girls would mean that each girl gets 8/9 pounds of pretzel.

If Sue ate half of the 8/9 pounds, that would equal to 4/9 pounds of pretzel.

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

Answer:

i have the same question on my worksheet Step-by-step explanation: i need help this is the hardest one

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

g(x) = f(x) + 4.

This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)

Given the graphs of y = f(x) and y = g(x),

g(x) = f(x)  + 3

expresses g(x) in terms of f(x).

The Answer is 3.

Answer:

3.888

Step-by-step explanation:

3.24 × 1.2

Using Multiplication method multiply through like normal multiplication, don't

put your decimal yet

= 3.24

× 1.20

_______

000

6480

+32400

_______

38880

_________

Counting the number of decimal places to knowing where to properly place your decimal sign

3.24 = 2 decimal place

1.20 = 2 decimal place

Total = 4 decimal places

3.8880

Therefore, 3.24 × 1.20 = 3.8880 or 3.888

==================================================

Explanation:

The given piecewise function basically means we have h(x) defined in two different ways based on what x is

If x is less than 2, then h(x) = 4 - x^3 which is what the first row says

Or

If x = 2 or larger, then h(x) = 2x-3 which is what the second row says.

---------

We want to find h(0). We want to find h(x) when x = 0. We'll use the first definition since x = 0 is less than 2.

h(x) = 4 - x^3

h(0) = 4 - (0)^3

h(0) = 4 - 0

h(0) = 4

Answer:

32

Step-by-step explanation:

The value of a is 8.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

XZ = XY + YZ

40 = 3a + 8 + a

40 = 4a + 8

40 - 8 = 4a

32 = 4a

a = 32/4

a = 8

Thus,

a is 8.

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Answer: [tex]n=5[/tex]

Add -10 to each side of the equation

[tex]10 + -10 + 8n = 50 + -10[/tex]

Combine like terms

[tex]0 + 8n = 50 + -10\\8n = 50 + -10\\8n = 40[/tex]

Divide each side by 8

[tex]8n/8=40/8\\n=5[/tex]

Answer:

n = 5

Step-by-step explanation:

8n +10 = 50

     -10    -10

     8n  = 40

      8      8

       n   = 5

Answer:

x=19

Step-by-step explanation:

because if you add 6 by 9 and you get 15 and if you plus 9 with 10 uoi get 19

Answer:

Step-by-step explanation:

p(x)= -3+4x

p(-2)=-3+4(-2)

p(5)=-3+4(5)

p(5)=-3+20

Answer:

yes -2 is the correct answer

Step-by-step explanation:

7x+3=-17-3x

7x+3x=-17-3

10x=-20

x=-20/10

x=-2

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Yes.}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf 7x+ 3 = -17-3x[/tex]

Combining like terms

=> [tex]\sf 7x+ 3x = -17-3[/tex]

=> [tex]\sf 10x = -20[/tex]

Dividing both sides by 10

=> [tex]\sf x = -2[/tex]

So, -2 is a solution of the given equation.

Answer:

d) Root 16 is rational

Step-by-step explanation:

Root 16=4

4 is rational

Therefore root 16 is rational

Answer:

Step-by-step explanation:

8x + 23

Answer:

just move the decimal a 107 times and add 0's

Step-by-step explanation:

Answer:

I am confused by the question no CAPPPPPP

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

3(x-1)-2(2x+1)=8(x-1)

Distribute

3x -3  -4x-2  = 8x -8

Combine like terms

-x -5 = 8x -8

Add x to each side

-x-5+x = 8x-8+x

-5 = 9x-8

Add 8 to each side

-5+8 = 9x-8+8

3 = 9x

Divide by 9

3/9 = 9x/8

1/3 =x

3(x-1)-2(2x+1)=8(x-1)

Use distributive property:

3x-3 -4x-2 = 8x-8

Combine like terms:

-x -5 = 8x -8

Add 8 to both sides:

-x +3 = 8x

Add x to both sides:

3 = 9x

Divide both sides by 9:

x = 3/9

x = 1/3

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation: