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Natali [406]
3 years ago
5

Which of the following values of t will result in a true statement when substituted into the given equation?

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer: t=-8

Step-by-step explanation:

1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8

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Find the discriminant of the equation. (Show how you got your answer)<br> a. X^2 + 4x + 9 = 0
weeeeeb [17]
The discriminant of the equation is -20. You use the formula( that's how I solved it)

Discriminant formula- b^2 - 4(a)(c)

Work:

4^2-4(1)(9) = -20

The formula for this is the part of the quadratic formula
5 0
4 years ago
I need help solving this problem
ad-work [718]

Answer:

300

Step-by-step explanation:

8 0
2 years ago
The volume of a rectangular prism is 3 25/36 cubic units, and the base area of the prism is 3 1/6 square units. The height of th
Svet_ta [14]

Answer:

The height of the prism is 1\frac{1}{6} units ⇒ answer a

The number of blocks needed is 133 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of a rectangular prism is

→ V = Area of the base × its height

- The volume of the rectangular prism is 3\frac{25}{36} units³

- The area of its base is 3\frac{1}{6} units²

- Substitute the values of the volume and area of the base in the rule

∴ 3\frac{25}{36}=3\frac{1}{6}*h

- Divide the two sides by 3\frac{1}{6}

∴ h=\frac{7}{6}=1\frac{1}{6} units

* The height of the prism is 1\frac{1}{6} units

- The volume of each cubic block is \frac{1}{36} units³

- The number of blocks = volume of the prism ÷ volume of the block

∵ The volume of the prism is 3\frac{25}{36} units³

∵ The volume of each block is \frac{1}{36} units³

∴ The number of blocks = 3\frac{25}{36} ÷ \frac{1}{36}=133

∴ The number of blocks = 133

* The number of blocks needed is 133

6 0
3 years ago
Read 2 more answers
1. Use precise mathematical language to justify and explain each mathematical process.
iris [78.8K]

Mathematical processes are the steps used to determine the result of operations

  • The perimeter of the rectangle is 10x^2 - 14x + 28
  • The area of the rectangle is 5x^3 +17x^2  -31x + 45

The dimension of the rectangle is given as:

Length = 5x^2 - 8x + 9

Width = x + 5

<u>(1) The perimeter of the triangle</u>

This is the sum of the side lengths of the rectangle.

So, we have:

Perimeter = 2 \times (Length + Width)

This gives

Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)

Collect like terms

Perimeter = 2 \times (5x^2 - 7x + 14)

Open brackets

Perimeter = 10x^2 - 14x + 28

Hence, the perimeter of the rectangle is 10x^2 - 14x + 28

<u>(2) The area of the triangle</u>

This is the product of the dimensions of the rectangle.

So, we have:

Area = Length \times  Width

This gives

Area = (5x^2 - 8x + 9) \times  (x + 5)

Open brackets

Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45

Collect like terms

Area = 5x^3 - 8x^2 +25x^2+ 9x  - 40x + 45

Area = 5x^3 +17x^2  -31x + 45

Hence, the area of the rectangle is 5x^3 +17x^2  -31x + 45

Read more about areas and perimeters at:

brainly.com/question/15656646

6 0
2 years ago
What is negative 3 times 67
BartSMP [9]

Negative 34 means (-34)

times means to multiply, then

-34\times1567

To do it without a calculator we will make -34

-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers

-4\times1567=-6268-30\times1567=-47010

Then add the answers

-34\times1567=-6268+-47010=-53278

The answer is -53278

7 0
1 year ago
Read 2 more answers
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