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3 years ago

Which value for x makes the sentence true?

Mathematics

1 answer:

saul85 [17]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

3/4x+ 4 = 7

Subtract 4 from each side

3/4x+ 4-4 = 7-4

3/4x = 3

Multiply each side by 4/3

4/3 * 3/4 x = 3 * 4/3

x = 4

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<img src="https://tex.z-dn.net/?f=%20x%20-%202%5Csqrt%7Bx%20-%203%20%3D%200%7D%20" id="TexFormula1" title=" x - 2\sqrt{x - 3 = 0

GrogVix [38]

Answer:

No Real Solutions

Step-by-step explanation:

So we have:

$x-2\sqrt{x-3}=0$

First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:

$x-3\geq 0\\x\geq 3$

Therefore, our final answers must be greater than or equal to 3:

Now, going back to the original equation, subtract x from both sides:

$-2\sqrt{x-3}=-x$

Now, square both sides:

$4(x-3)=x^2$

Distribute:

$4x-12=x^2$

Subtract 4x and add 12 to both sides:

$0=x^2-4x+12$

This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:

$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Substitute:

$x=\frac{4\pm\sqrt{(-4)^2-4(1)(12)}}{2(1)}$

Simplify the radical:

$x=\frac{4\pm\sqrt{-32}}{2(1)}$

The number under the radical is negative. In other words, there are no real solutions.

7 0

3 years ago

What is 12 over three equals four over one

Phoenix [80]

<h2><em>It's exactly what it says. 12/3 = 4. 4/1 = 4. Thus, 4 = 4. It's already solved.</em></h2>

4 0

3 years ago

Read 2 more answers

A rectangular box is x feet long and x feet wide. The volume of the box is (4x8 + 3x6) cubic feet. What polynomial represents th

andreev551 [17]

$V=length\times width \times height\\\\\dfrac{V}{length\times width}=height\\\\\dfrac{4x^{8}+3x^{6}}{x^{2}}=height\\\\height=4x^{6}+3x^{4}$

5 0

3 years ago

14 V = bdt. Solve the formula for de

snow_tiger [21]

Answer:

$d=\dfrac{V}{bt}$

Step-by-step explanation:

It is given that,

V = bdt i.e. V is equal to the product of b, d and t

We need to find the formula for d.

Dividing both sides of the given expression by bt

So,

$\dfrac{V}{bt}=\dfrac{bdt}{bt}\\\\d=\dfrac{V}{bt},\ \text{bt in both denominator and numerator cancel out}$

Hence, $d=\dfrac{V}{bt}$ is the value of d.

5 0

3 years ago

Fill in the blank.<br> (5x)2<br> a0x2

Yuki888 [10]

Answer: $a_0=25$

Step-by-step explanation:

It is given that, $(5x)^2=a_0x^2$

We need to find the value of $a_0$

As $(5x)^2=a_0x^2$

Solving LHS

$25x^2=a_0x^2$

Now comparing the coefficients of $x^2$

In LHS the coefficient of $x^2$ is 25

In RHS the coefficient of $x^2$ is $a_0$

It implies that, $a_0=25$

So, the value of $a_0$ is 25.

5 0

3 years ago