Multiply (2x^3 + 1)(5x^2 +4) and write your result in simplest form.

(13 POINTS+BRAINLIEST FOR FASTEST ANSWER!) find the areas of the trapezoids. please help me check my answers for both. thank you

Sunny_sXe [5.5K]

Answer:

1. 375

2. 294

Step-by-step explanation:

Area of a trapezoid

A = 1/2 (b1+b2) *h where b1 and b2 are the top and bottom of the trapezoide

1.

A = 1/2 (14+36) *15

= 1/2 (50)*15

= 25*15

375

A = 1/2 (21+7) *21

= 1/2 (28)*21

= 14*21

294

8 0

3 years ago

Evaluate the limit to the right

Ilia_Sergeevich [38]

Negative infinity
Shield smspsosbdjfif. Dishab s did a so f turns.

4 0

3 years ago

Read 2 more answers

ALGEBRA 2!!!!!!!!! SHOW ALL WORK!!!!!!!!!!!!<br> Find the inverse function.

muminat

The inverse is found by interchanging x and y

f(x) = y

$\text{x = }\frac{2y - 3}{y + 1}$

Multiply both sides by y + 1

x*(y + 1) = 2y - 3 Remove the brackets on the left

xy + x = 2y - 3 Subtract xy on both sides

x = 2y - xy - 3 Add 3 to both sides

x + 3 = 2y - xy Factor out y on the right. Use the inverse distributive law

x + 3 = y*(2 - x) Divide both sides by 2 - x

$\dfrac{x + 3}{2 - x}\text{=y=f(x)}$

6 0

3 years ago

Linear system please help 60 points * please please please help will give brainlist

bearhunter [10]

Answer:

1. a. b = - 8

b. x = 8

c. x = 11

d. x = 5

2. 12 soccer balls and 8 basketballs can be purchased.

Step by step explanation

a. $- 14 + 6b + 7 - 2b = 1 + 5b$

Calculate the sum

$- 7 + 6b - 2b = 1 + 5b$

Collect like terms

$7 + 4b = 1 + 5b$

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change its sign

$4b - 5b = 1 + 7$

Collect like terms

$- b = 8$

Change the signs on both sides of the equation

$b = - 8$

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b. $\frac{5x + 10}{ - 6} = - 5$

Apply cross product property

$5x + 10 = - 5 \times ( - 6)$

Multiply the numbers

$5x + 10 = 30$

Move constant to R.H.S and change its sign

$5x = 30 - 10$

Calculate the difference

$5x = 20$

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{20}{5}$

Calculate

$x = 4$

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c. $- 15 = \frac{ - 8x - 17}{7}$

Apply cross product property

$- 15 \times 7 = - 8x - 17$

Multiply the numbers

$- 105 = - 8x - 17$

Swap the sides of the equation

$- 8x - 17 = - 105$

Move constant to R.H.S and change its sign

$- 8x = - 105 + 17$

Calculate

$- 8x = - 88$

Change the signs on both sides of the equation

$8x = 88$

Divide both sides of the equation by 8

$\frac{8x}{8} = \frac{88}{8}$

Calculate

$x = 11$

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

D. $5 = 6x + 5(x - 10)$

Distribute 5 through the parentheses

$5 = 6x + 5x - 50$

Collect like terms

$5 = 11x - 50$

Swap both sides of the equation

$11x - 50 = 5$

Move constant to R.H.S and change its sign

$11x = 5 + 50$

Calculate the sum

$11x = 55$

Divide both sides of the equation by 11

$\frac{11x}{11} = \frac{55}{11}$

Calculate

$x = 5$

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

2.

Solution,

No.of students in soccer = x

No.of students in basketball = y

Total no.of students = 20

i.e x + y = 20 → equation ( i )

Cost of soccer ball = $ 7

Cost of basketball = $ 10

Total budget = $ 164

i.e 7x + 10 y = 165 → equation ( ii )

In equation ( i ),

x + y = 20

Move 'y' to R.H.S and change its sign

x = 20 - y

Put the value of x in equation ( i )

$7(20 - y) + 10y = 164$

$140 - 7y + 10y = 164$

$3y = 164 - 140$

$3y = 24$

$y = \frac{24}{3}$

$y = 8$

Now, put the value of y in equation ( i ) ,

x + y = 20

$x + 8 = 20$

$x = 20 - 8$

$x = 12$

Hence, 12 soccer balls and 8 basketballs can be purchased.

Hope this helps...

Best regards!!

6 0

3 years ago

Read 2 more answers

John is six years older than his sister Ella. Three times Ella’s age less two times John’s age is 13?

Vladimir [108]

Answer:

John is 31

Ella is 25

Step-by-step explanation:

Let sister's age be x, then John's age is (x + 6). So from sentence 2,

(3x) - 2(x + 6) = 13

3x - 2x - 12 = 13

x = 13 + 12 = 25

and x + 6 = 31

7 0

3 years ago