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3 years ago

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) 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:

$Length = 5x^2 - 8x + 9$

$Width = x + 5$

(1) The perimeter of the triangle

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 $10x^2 - 14x + 28$

(2) The area of the triangle

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