Simplify each expression to lowest terms.


1. 2a - 4b +3ab -5a +2b


2. 4(2x+1) - 3x


3. 4(p - 5) +3(p +1)


4. 6(p +3q) - (7 +4q)


5. 4rs -2s - 3(rs +1) - 2s

Answer:

1/2

Step-by-step explanation:

[tex]\text{Solve for v:}\\\\4v-8\leq5v+5\\\\\text{Subtract 5v from both sides}\\\\-v-8\leq5\\\\\text{Add 8 to both sides}\\\\-v\leq13\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\\boxed{v\geq-13}[/tex]

Answer:

v>=-13

Step-by-step explanation:

4v-8<=5v+5

4v-5v-8<=5

-v-8<=5

-v<=5+8

-v<=13

v<=-13

v>=-13

their sum is 90° so they're complementary

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer: The answer is c

Step-by-step explanation:

Answer:

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]

Step-by-step explanation:

If a quadratic equation is in the form of ax²+ bx + c = 0

Then the roots of this quadratic equation can be obtained by,

1). Factoring the expression.

2). By quadratic formula.

If we use the method to get the value of x or roots of the equation,

x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac } }{2a}[/tex]

where a, b and c are the coefficients used in the quadratic equation.

Answer:

2. it stays the same even if the angles in the triangle change

a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.

5. it represents the sum of the measures of the interior angles of the triangle

a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.

7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

Answer:

B E H

Step-by-step explanation:

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

this site is a fraction calculator, it what i use try it!

Answer:

83

Step-by-step explanation:

40 - 15 = 25

25 - 7 = 18

40 + 25 + 18 =

83

We know that Albert has 40 toy cars.

If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.

Now, we know that Chris has 7 fewer cars than Brad.

So Chris would have 18 cars.

Altogether, they would have 40 + 25 + 18 cars or 83 cars.

Answer:

[tex]\boxed{ \sf 1350 \ cm^2}[/tex]

Step-by-step explanation:

Surface area of a cube = 6a²

a = side length

The side length is given 15 cm.

[tex]6(15)^2[/tex]

[tex]6(225)[/tex]

[tex]1350[/tex]

The surface area of the cube is 1350 cm².

Answer:

1/2 mile

Step-by-step explanation:

(1/8)*4 = 1/2 mile

Answer:

4/8 or 1/2

Step-by-step explanation:

becuase 4 times 1/8 is 4/8 which is 1/2

Answer:

40.5 ft²

Step-by-step explanation:

*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.

*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.

Triangle:

A = 1/2bh

A = 1/2 (6) (1.25)

A = 3.75 ft²

Both triangles:

A = 3.75 (2)

A = 7.5 ft²

Rectangle:

A = lh

A = 5.5 (6)

A = 33 ft²

Total:

A = 7.5 + 33

A = 40.5 ft²

Answer:

Step-by-step explanation:

The shape can be broken down into 2 identical triangles and one rectangle.

Area of 2 triangles= 2(1/2×base×height)

= 2(1/2×6×2.5) = 15ft²

Area of Rectangle = length × breadth

= 6 × 5.5 = 33ft²

Area of figure = Area of 2 triangles + Area of Rectangle

= (15 + 33) ft² = 48ft²

Answer:

33.3

Step-by-step explanation:

Answer:

Hey there!

We can write this equation: 2x+4x=180

6x=180

x=30

Hope this helps :)

The two angles are supplementary angles. When added together they equal 180 degrees.

2x + 4x = 180

Combine like terms:

6x = 180

Divide both sides by 6:

X = 180/6

X = 30

Oh my god im so sorry i didnt mean to copy and paste my question here

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

Answer:

f(x) is quadratic. g(x) and h(x) are linear.

Step-by-step explanation:

So we have the three functions:

[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.

Answer:

16 candles

Step-by-step explanation:

first you must know what the volume of the rec prism is so multiply the b*h*w and you will have 240. divide 3840 by 240 and you will have 16

Answer:

16

Step-by-step explanation:

We need to find out the area of each candle. We can do this by multiplying all the lengths out and getting 240 [tex]cm^3[/tex] per candle. Now we divide 3840, the total amount of wax used, by 240 the amound needed for one candle, and we get 16. This means 16 candles were made.

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

Answer:

17 rojo

51 amarillo

en el dibujo son 11 rojos y 33 amarillo

Step-by-step eplanation:

Answer:

[tex]x > 1610[/tex]

Step-by-step explanation:

Given that the empire fell in 1610

Required

Represent years after the fall of the empire using inequality

From the question, we understand that

1. x represent years

2. The empire fell in 1610

This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;

Years such as 1611, 1612, 1613.......

All the aforementioned years are greater than 1610;

The keyword is greater than 1610

And this can be represented as [tex]x > 1610[/tex]

Answer:

first graph equation is (0,5)

second graph equation is(-6,0)

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5

Answer:

[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x) = -5x-4[/tex]

Replace y = f(x)

[tex]y = -5x-4[/tex]

Exchange values of x and y

[tex]x = -5y -4[/tex]

Solve for y

[tex]x = -5y - 4[/tex]

Adding 4 to both sides

[tex]x + 4 = -5y[/tex]

Dividing both sides by -5

[tex]y = -\frac{x+4}{5}[/tex]

Replace y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]

18 + 4 ÷ 2 − 8

Following PEDMAS, divide first:

18 + 2 -8

Now add and subtract to get the final answer:

18+2 = 20

20-8 = 12

The answer is 12

Answer:

12

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.

In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.

The correct answer should be 6.  

Answer:

sqrt of 41, or A

Step-by-step explanation:

You can cut the iscosles triangle into 2 right triangles as shown on the image, and the base of each will be 4, and the height 5.

The hypotenuse on a right triangle is the square root of the base squared added with the height squared, which would be 16+25, or 41. therefore, X is the sqrt of 41

Answer:

A. x = square root of 41

Step-by-step explanation:

You can use a calculator on the first page.

39

30

15

37

1

45

6

10

8

19

1

67

4

Answer:

Balance = $14,723.06

Step-by-step explanation:

Given:

Principal (P) = $15,000

Interest Rate (R) = 7.5%

Time (T) = ¹/12

Monthly payment = $185.49

Required:

Balance of the loan at the end of 3 months using the formula for simple interest.

SOLUTION:

[tex] I = \frac{P.T.R}{100*12} [/tex]

First Month:

Principal => $15,000

Add interest => [tex](\frac{15,000*7.5*1}{100*12} )[/tex] => $93.75

= $15,093.75

Less payment => $185.49

= $14,908.26

Second Month:

Principal => $14,908.26

Add interest => [tex](\frac{14,908.26*7.5*1}{100*12})[/tex] => $93.18

= $15,001.44

Less payment => $185.49

= $14,815.95

Third Month:

Principal => $14,815.95

Add interest => [tex](\frac{14,815.95*7.5*1}{100*12})[/tex] => $92.60

= $14,908.55

Less payment => $185.49

Answer:

[2×10*(-3) × (4×10*(4)] = 80

Step-by-step explanation:

First of all 0.002 is 10*(-3) and not 10(-2) , so you can eliminate the first 2 answers.

Second of all, according to the calculator the left equation is correct, while the right one isn't... so there you go

Glad to help :)