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stira [4]
4 years ago
15

Determine which value is a solution to the open scentence.

Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
5 0

The correct answer is A because 24-6=18 18/2=9


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If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area bas
alexandr1967 [171]

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

8 0
3 years ago
F(x) = 3x3 – 2x2 + x - 4 at x = -3
Yuri [45]

Steps to solve:

f(x) = 3x³ – 2x² + x; x = -3

~Substitute

f(-3) = 3(-3)³ - 2(-3)² + (-3)

~Solve the exponents

f(-3) = 3(-27) - 2(9) + (-3)

~Multiply

f(-3) = -81 - 18 - 3

~Subtract

f(-3) = -102

Best of Luck!

5 0
4 years ago
For each of the figures, write an absolute value equation to satisfy the given solution set.
Valentin [98]

Answer:

|x-1|=5

Step-by-step explanation:

From the diagram you can see that the solutions of the equation are x_1=-4 and x_2=6

1. Find the midpoint between -4 and 6:

1/2(-4+6)=1

2. Find the distance between points x=1 and x=6 (or between x=1 and x=-4):

d=6-1=5

3. Writhe an absolute value equation (the distanse from endpoints x_1=-4 and x_2=6 to the midpoint x=1 is equal 5):

|x-1|=5

7 0
4 years ago
P(x) = 3x^4 – 2x3 + 2x² – 1<br> What is the remainder when P(x) is divided by (x + 1)?
Kaylis [27]

Answer:

6

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

P(-1)=3+2+2-1=6

Thanks

7 0
3 years ago
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?
navik [9.2K]
Hello,
u_{1} =2\\&#10; u_{2} =2*3\\&#10; u_{3} =2*3^2\\&#10;...&#10; u_{8} =2*3^7\\&#10;&#10;\sum_{i=0}^7\ 2*3^i\\&#10;=2(1+3+3^2+...+3^7)\\&#10;=2* \dfrac{3^8-1}{3-1}\\&#10;=2* \dfrac{6560}{2} \\&#10;=6560&#10;
8 0
3 years ago
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