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leva [86]
3 years ago
6

Hey can you please help me posted picture of question :)

Mathematics
2 answers:
scoray [572]3 years ago
3 0
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7

Answer: Options B. 7  and D. 5
seropon [69]3 years ago
3 0
Answer:
The solutions are: 5 and 7

Explanation:
First we would need to put the equation in the standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² - 7x + 38 = 5x + 3
x² - 7x + 38 - 5x - 3 = 0
x² - 12x + 35 = 0
By comparison:
a = 1
b = -12
c = 35


Now, to get the roots, we would need to use the quadratic formula attached in the images.
By substitution, we would find that:\
either x = \frac{12+ \sqrt{(-12)^2-4(1)(35)} }{2(1)} = 7

or x = \frac{12- \sqrt{(-12)^2-4(1)(35)} }{2(1)} = 5

Hope this helps :)

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Tommy wished he practiced more before his violin concert. If he had practiced 1 1/2 more hours one week, he would have averaged
Nimfa-mama [501]

Answer:

30.5 hours

Step-by-step explanation:

If he were to average 8 hours PER week for 4 weeks, his total sum would have been:

8 * 4 = 32 hours

But he fell short of it. By how much?

By 1\frac{1}{2} hours!

So, he practiced 1  1/2 hours LESS THAN 32 hours, so his practice time is:

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So, <u>he practiced 30.5 hours in the 4 weeks</u>

8 0
3 years ago
Rewrite the sum of 30 and 42 by factoring out of the greatest common factor
kvasek [131]

Answer:

12

Step-by-step explanation:

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Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

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8 0
2 years ago
A student was conducting a study to determine how many pagos he would need for the book he is writing. So, he found that the fol
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Answer:

224 pages

Step-by-step explanation:

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There are a total of 67,062 words

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That means 224 pages, because the last page is partially filled.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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