3(2x + 6) = 2(4x – 5)

Hey there!

p^2 - q

= 3^2 - -4

= 9 - -4

= 9 + 4

= 13

Therefore, your answer is: 13

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The slope is -3/4 or -0.75

Step-by-step explanation:

You can solve this using the slope of a line formula:

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

m = slope

[tex](x_1,y_1)[/tex] = coordinates of first point in the line

[tex](x_2,y_2)[/tex] = coordinates of second point in the line

Now all you have to do is plug your numbers in and solve!

Answer:

54

Step-by-step explanation:

Answer:

This is undefined because the slope is 3/0, and you can't divide by 0

Answer:

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Step-by-step explanation:

[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

[tex]b+3 > 0[/tex]

Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.

[tex]b+3-3 > 0-3[/tex]

Simplify

[tex]b > -3[/tex]

Now we need to graph it:

Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Symbol Meaning

> Greater than

> Greater than or equal to

< Less than

< Less than or equal to

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Also look at the picture

Answer:

$444.44

Step-by-step explanation:

Let the monthly budget of Edward family be $x.

-> 18% of x = 800

-> 0.18x = 800

-> x = 800/0.18

-> x = 444.44

Thus, the monthly budget of Edward family is $444.44.

Answer:

110

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

m = 5/2

Step-by-step explanation:

use the slope intercept form y = mx + b to find the slope which is m

hope this helps

have a great day- TJ

Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]

What is slope of a line?

Slope of a line is the tangent of the angle which the line makes with the

positive direction of x axis

If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]

Slope of this line = [tex]\frac{3}{2}[/tex]

Slopes of two parallel lines are same

Slope of the line parallel to the above line =  [tex]\frac{3}{2}[/tex]

To learn more about slope of a line, refer to the link-

https://brainly.com/question/3493733

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Answer:

I think it is 13%

Step-by-step explanation:

I think this since there are 100 Square Units so if there are 13 shaded it would be [tex]\frac{13}{100}[/tex] which equals to 13%

IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY

|| ▼ Answer ▼ ||

8 is correct!

|| ✪ Solution ✪ ||

[tex]g(x)=2x^{2}-8x+1[/tex]

Vertex of f(x) is:

[tex](x,y)=(2,1)[/tex]

Graph of g(x) is attached :

Vertex of g(x) is:

[tex](x,y)=(2,-7)[/tex]

Y- value of vertex f(x) subtract from Y-value of g(x)

[tex]=1-(-7)[/tex]

[tex]=1+7[/tex]

[tex]1+7=8[/tex]

Hope this Helps!

If you have any queries please ask.

Answer:

To the nearest whole percent is 26%

Step-by-step explanation:

First half of the year = 54 students

Second half of the year = 68 members

find the percent of increase in club membership to the nearest whole percent ?

% increase in club membership = (new member - old member) / old member × 100

= (68 - 54) / 54 × 100

= 14 / 54 × 100

= 0.259 × 100

= 25.9 %

To the nearest whole percent is 26%

Answer:

Step-by-step explanation:

Answer:

0.141 in³

explanation:

[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]

using the formula:

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]

Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, considering that the numbers are arranged, we have that there are:

Hence:

T = 3 x 4! = 3 x 24 = 72.

There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

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Work Shown:

First find f(2)

f(x) = 3x-1

f(2) = 3(2)-1 ... replace every x with 2

f(2) = 6-1

f(2) = 5

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

The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5

g(x) = 2x-3

5 = 2x-3 .... replace g(x) with 5

2x-3 = 5

2x = 5+3 ... add 3 to both sides

2x = 8

x = 8/2 .... divide both sides by 2

x = 4

The value of x that satisfies the equation g(x) = f(2) is x = 4.

A relation is a function if it has only One y-value for each x-value.

We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).

We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.

Therefore, we need to find the value of x that makes g(x) equal to 5.

Setting g(x) equal to 5, we get:

2x - 3 = 5

Add 3 to both sides.

2x = 8

Divide both sides by 2:

x = 4

Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.

To learn more on Functions click:

https://brainly.com/question/30721594

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Answer:

W=2

Step-by-step explanation:

Let's solve your equation step-by-step.

3w+4w=14

Step 1: Simplify both sides of the equation.

3w+4w=14(3w+4w)=14

(Combine Like Terms)7w=14/7w=14

Step 2: Divide both sides by 7.

7w7=14/7

Your answer comes out at, w=2

If u need some more help just comment down below and ill try to help u some more:p

Answer:

20 weeks

Step-by-step explanation:

This question, luckily, can be solved with a very simple algebraic expression.

Let w = the amount of weeks.

[tex]25w = 500[/tex]

So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]

Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.

Answer:

170 kids

368 adults

Step-by-step explanation:

Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

42 pounds per square inches.

Step-by-step explanation:

The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.

⇒ [tex]V\propto \dfrac{1}{P}[/tex]

or

[tex]V_1P_1=V_2P_2[/tex]

Volume, V₁ = 183 cubic inches

Pressure, P₁ = 14 pounds/square inch

We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,

[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]

Hence, the final pressure is 42 pounds per square inches.

Answer:

u = 56

Step-by-step explanation:

the midsegment QS is half the length of the third side PT , that is

QS = [tex]\frac{1}{2}[/tex] PT ( substitute values )

u - 28 = [tex]\frac{1}{2}[/tex] u ( multiply through by 2 to clear the fraction )

2u - 56 = u ( subtract u from both sides )

u - 56 = 0 ( add 56 to both sides )

u = 56

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:

3(2.5 + x) = 24

7.5 + 3x = 24

x = 5.5 miles

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

350 + 15x = 275 + 20x where x = 15

Step-by-step explanation:

350 + 15x = 275 + 20x

350 - 275 = 20x - 15x

75 = 5x

75/5 = 5x/5

15 = x

350 + 15(15) = 275 + 20(15)

350+225 = 275+300

575 = 575

Answer:

-9/2

Step-by-step explanation:

To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!

Answer:

19.63 in2

Step-by-step explanation:

2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!