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Ugo [173]
3 years ago
15

Please help explain how to solve problem 16?

Mathematics
1 answer:
Anarel [89]3 years ago
4 0
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
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janet obtained 32% for her statistics test, which was out of a total of 300 marks. how much should she score in the computer sci
vesna_86 [32]

Her score in computer to get a proportionally weighted average of 46% will be 134.

The total score for both subjects = 200 + 300 = 500

Since the proportionally weighted average is 46%, then her score will be:

= 46% × 500

= 0.46 × 500

= 230

Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:

= 32% × 300

= 0.32 × 300

= 96

Therefore, her score in computer will be:

= 230 - 96

= 134

Read related link on:

brainly.com/question/24429956

8 0
2 years ago
A line has a rise of 6 and a slope of 1/20. What is the run?<br> 30<br> 90<br> 120
MrRissso [65]

Answer:

120

Step-by-step explanation:

6/120 = 1/6

6 divided by what would simplify to 1/6?

120

6 0
3 years ago
Convert the following into slope-intercept form. 3x+4y=-16
Eva8 [605]

Answer:

y = -3/4x -4

Step-by-step explanation:

3x+4y=-16

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Subtract 3x from each side

3x -3x+4y=-3x-16

4y = -3x-16

Divide each side by 4

4y/4 = -3x/4 - 16/4

y = -3/4x -4

6 0
3 years ago
Read 2 more answers
3/8 x 2/6 x 4/8 x 5/12
Hatshy [7]

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8}*\frac{2}{6}*\frac{4}{8}*\frac{5}{12}\\\\\frac{3}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{12}\\\\\frac{1}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{4}\\\\\frac{5}{192}

7 0
3 years ago
X+7= what commutative property
Ugo [173]
The commutative pooperty of x + 7 is equal to 7 + x.
8 0
3 years ago
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