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3 years ago

Solve each equation for x over the set of real numbers. 3x+5/(x-1)(x^4+7)

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

$3x+5/(x-1)(x^4+7)$

$3x+5(x^4+7)/x-1$

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A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi

Rainbow [258]

Answer:

$85 \le \frac{75 + 97 + n}{3} \le 90$ ; $83 \le n \le 98$

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: $\frac{75 + 97 + n}{3}$ .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

$85 \le \frac{75 + 97 + n}{3} \le 90$

Solve for n in each statement that makes up the compound inequality:

$85 \le \frac{75 + 97 + n}{3}$

$85 \le \frac{172 + n}{3}$

Multiply both sides by 3

$85*3 \le 172 + n$

$255 \le 172 + n$

Subtract 172 from each side of the inequality

$255 - 172 \le n$

$83 \le n$

Also,

$\frac{75 + 97 + n}{3} \le 90$

$\frac{172 + n}{3} \le 90$

Multiply both sides by 3

$172 + n \le 90*3$

$172 + n \le 270$

Subtract 172 from both sides of the inequality

$n \le 270 - 172$

$n \le 98$

Combining both together, the possible values of her third quiz score would be:

$83 \le n \le 98$

3 0

3 years ago

Find the solution set. |x|= 9<br> A. { }<br> B. {-3 , 3}<br> C. { -9, 9}<br> D. {-81, 81}

Ierofanga [76]

Answer:

C. { -9, 9}

Step-by-step explanation:

An absolute value equation has 2 solutions, a positive and a negative

|x|= 9

x= +9 and x = -9

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tatyana61 [14]

Do each prism seperately
(8x10x5)+(4x4x5)
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3 years ago

Solve the equation for a.

Pavel [41]

Answer:

$\large\boxed{a=\dfrac{K}{4+9b}}$

Step-by-step explanation:

$K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a$

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Scott has basketball at 3:15 the practice lasts 45 minutes what time does practice end

DochEvi [55]

The practice will end at exactly 4:00 .

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