Rewrite the equation as a variable equal to a constant: -2x+2=4x+5

Answer:

1) 12.8cm

2) 3.125km

Step-by-step explanation:

1) 8cm = 5km

1km= 8/5

1km = 1.6cm

8km = 8*1.6

8km = 12.8cm

2) 8cm = 5km

1cm = 5/8

5cm = (5*5)/8

5cm= 25/8

5cm= 3.125km

Answer:

1) 12.8cm

2) 3.125km

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:

Step-by-step explanation:

Answer:

4+2b=5+5b+20

<=> -3b=21

<=> b=-7

Step-by-step explanation:

<=> 4+2b=5+5b+5×4

<=> 4+2b=5+5b+20

<=> 2b-5b=5-4+20

<=> -3b=21

<=> b=-21/3

<=> b=-7

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]

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The quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

For this case, the given quadratic function is:

[tex]f(x) =2x^2 -44x + 185\\[/tex]

Converting this to the vertex form, we get:

[tex]f(x) =2x^2 -44x + 185\\\\f(x) = 2(x^2 -22x) + 185\\f(x) = 2(x^2 -2 \times 11 \times x + 11^2 - 11^2) + 185\\f(x) = 2((x-11)^2 -121) + 185\\f(x) = 2(x-11)^2 -242 + 185\\f(x) = 2(x-11)^2 -57[/tex]

Thus, the quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]

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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.

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Answer:

637/1000

Step-by-step explanation:

Hopes this helps

Answer:

C

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

(u/v)(x) =

Correct option is C

Answer:

38°

Step-by-step explanation:

Complimentary angles add up to 90°, so simply subtract 52 from 90 and you have your answer! ^^

Answer:

170 kids

368 adults

Step-by-step explanation:

Answer:

-5(2x-3)+2x = -10x+15

-10x+15+2x= -10x+15

-12x+15 = -10x+15

-12x-(-10x):= -15+15

=2 ans

Answer:

x=31

Step-by-step explanation:

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.

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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:

110

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

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:

388. If you need any more help let me know. Also if you googled that you would have gotten the same answer.

Step-by-step explanation:

Answer:

the answer is 388

Step-by-step explanation:

107+88+193=388

Answer:

54

Step-by-step explanation:

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of ₫ 145.

So after completing the 1st week she will get ₫ (x+145).

Similarly after completing the 2nd week she will get ₫ (x + 145) + ₫ 145.

=[tex] ₫ (x + 145 + 145)[/tex]

= [tex]₫ (x + 290)[/tex]

So in this way end of every week her salary will increase by ₫ 145.

The answer is  D, both a and b.

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Personal identity is ready the way you see yourself as “different” from the ones around you. Pastimes, education, pursuits, character developments, and so forth. preferred meals, the roles you maintain—“I am the oldest in my own family.” These are the matters that make you particular from different humans.

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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

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 ▼ ||

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.