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3 years ago

Given h(x) = 4x + 5 solve for when h(x) = 9 .

Mathematics

2 answers:

Temka [501]3 years ago

8 0

Answer:

3x = 5

Step-by-step explanation:

9x = 4x + 5

-4x -4x

3x = 5

Alekssandra [29.7K]3 years ago

8 0

Answer:

h(x) = 4x + 5 h(x) = 9

9 = 4x + 5 9 - 5 = 4 and 5 - 5 = 0

4 = 4x 4 divided by 4 equals 1

Answer is x = 1.

--------------------------------------------------------

Check your answer:

9 = 4x + 5

Input the 1 into the variable x's place in the equation.

9 = 4 X 1 + 5

And now solve.

4 X 1 + 5 = 9

So, now we know that our answer is fully correct.

Step-by-step explanation:

Hope this helps. If there are any questions please ask them below in the comments. If there are no questions please have a great rest of your day/night!

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What value of x is in the solution set of 9(2x + 1) < 9x - 18? <br> -4<br> -3<br> -2<br> -1

Anastaziya [24]

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.

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2 years ago

Read 2 more answers

Find the average distance each data value in the set is from the mean. Round your answer to the nearest tenth, if necessary. Pri

sineoko [7]

Answer:

The average distance of each observation from the mean is 0.

Step-by-step explanation:

We are given the following in the question:

$7, $20, $9, $35, $12, $15, $7, $10, $20, $25

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{160}{10} =16$

Difference from the mean value of each term:

-9, 4, -7, 19, -4, -1, -9, -6, 4, 9

Average distances =

$\text{Average distance} =\displaystyle\frac{0}{10} =0$

Thus, the average distance of each observation from the mean is 0.

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3 years ago

ANSWER AS SOON AS POSSIBLE;please and thank you/Gabby earns $30 per week. Her goal is to save 69,855 how long will it take for g

otez555 [7]

Answer:

2328.5 weeks or 6.4 years

Step-by-step explanation:

69855/30= 2328.5/365= 6.4

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3 years ago

Find the general solution of (2x² + y)dx + (x²y - x)dy = 0

dmitriy555 [2]

Multiply the original DE by xy:

xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)

Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes

x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0

This final equation is easily recognized as separable:

dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides

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2 years ago

Explain how to get that answer!!

ra1l [238]

We need to simplify $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$

First lets factor $\sqrt{14x^3}$

$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$
$\sqrt{14} = \sqrt{2} \sqrt{7}$ by applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$
$\sqrt{x^3} = x^{3/2}$ By applying the radical rule $\sqrt[n]{x^m} = x^{m/n}$

So
$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$ = $\sqrt{2} \sqrt{7}x^{3/2}$

Now let's factor $\sqrt{18x}$
By applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$ ,
$\sqrt{18x} = \sqrt{18} \sqrt{x}$
$\sqrt{18} = \sqrt{2} * 3$

So $\sqrt{18x}$ = $\sqrt{2}*3 \sqrt{x}$

So $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x} }$

We know that $\sqrt[n]{x} = x^{1/n}$ so $\sqrt{x} = x^{1/2}$

We now have $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x}} = \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}}$

We know that $\frac{x^a}{x^b} = x^{a-b}$
So $\frac{x^{3/2}}{x^{1/2}} = x^{3/2 - 1/2} = x$

We now got $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}} = \frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3}
$

We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:
$\frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3} = \frac{ \sqrt{7}x }{3}$

All in All, we get $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{7}x }{3}$

Hope this helps! :D

6 0

3 years ago