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3 years ago

11

1.)What is the only solution of 2x^2 + 8x = x^2 – 16?

2 answers:

Greeley [361]3 years ago

8 0

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

<span>The correct result would be x = - 4.</span>

pogonyaev3 years ago

6 0

Answer:

x= -4

Step-by-step explanation:

took the test:)

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Find the missing dimension of the triangle.

ludmilkaskok [199]

Answer: 16

Step-by-step explanation: 20/2 = 10

10x=160

10x/10=160/10

x=16

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2 years ago

Solve the inequality and graph the solution<br> 4x-5>7

ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

4x > 12

Divide both sides by 4:

4x/4 > 12/4

x > 3

The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.

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2 years ago

Write two expressions that could be used to find 105% of x. ANSWER TODAY!! :) thanks

Margaret [11]

First way: x * 1.05

This computes directly what 105% of x will be.

Second way: x + (x * 0.05)

This takes x (which is 100%) and adds 5% of x to it.

6 0

3 years ago

Read 2 more answers

Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

<em><u>Solution:</u></em>

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

<em><u>Given system of equations are:</u></em>

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

2 years ago

Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?

riadik2000 [5.3K]

900 ÷ 72 = 12.5 minutes

Thus the correct answer is option A .

7 0

2 years ago