Ask question

Ask question

All categories

3 years ago

12

PLS HELP ME WITH THIS EQUATION! Find X

2%7Dx%20-%204x" id="TexFormula1" title="{3}^{2}x - 32 = {2}^{2}x - 4x" alt="{3}^{2}x - 32 = {2}^{2}x - 4x" align="absmiddle" class="latex-formula">

1 answer:

Vesnalui [34]3 years ago

5 0

Answer:

$3x^{2} -32=2x^{2} -4x\\3x^{2} -2x^{2} +4x-32=0\\x^{2} +4x-32=0\\x^{2} -4x+8x-32=0\\x(x-4)+8(x-4)=0\\(x-4)(x+8)=0\\x-4=0 \ or\ x+8=0\\x=4\ or\ x=-8$

You might be interested in

Find the length of x. Assume the triangles are similar.

Veronika [31]

Answer:

x = 32

Step-by-step explanation:

The longest side is double the length of the shortest side, so x is 2·16 = 32.

6 0

2 years ago

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

Genrish500 [490]

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{\frac{\alpha}{2}}$ = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = $\overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}$

= $110\pm z_{.01}\frac{7.1}\sqrt{50}$

= $110\pm 2.33\frac{7.1}\sqrt{50}$

First we take + sign

$110 + 2.33\frac{7.1}\sqrt{50}$ = 112.34

now we take - sign

$110 - 2.33\frac{7.1}\sqrt{50}$ = 107.66

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

5 0

3 years ago

3. At a bargain store, Jamal bought 2 items that each cost the same amount. Isaiah bought 3 items that each cost the same amount

coldgirl [10]

Answer:

$6.75 and $4.50

Step-by-step explanation:

a) <u>Jamal spent:</u>

2x

<u>Isaiah spent:</u>

3 (x - 2.25)

<u>The equation is:</u>

2x = 3(x - 2.25)

b) <u>Solving the equation</u>

2x = 3x - 6.75
3x - 2x = 6.75
x = 6.75

c) <u>Jamal's items cost </u>

$6.75 each

<u>Isaiah's items cost </u>

$6.75 - $2.25 = $4.50 each

7 0

2 years ago

Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of no

Nezavi [6.7K]

We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.

6 0

3 years ago

Plz need this asap ONLY ANSWER IF YOU KNOW IT will give brainliest

Natalija [7]

Answer:

<u>1</u> would be your y axis

Step-by-step explanation:

1. so the y axis is up and down

2. the x axis is horizontal side to side

3. the x axis is 0

4. the y axis is positive 1

5. So your anwser would be in the format (x,y)

6. It is (0,<u>1</u>)

7. It is positive

8. Plz name me brainliest I would really appreciate it if you need more help just ask me

Thank You

8 0

2 years ago