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3 years ago

Which expression is equivalent to НЕ оооо

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

q^12

Step-by-step explanation:

q^6^2

We know that a^b^c = a^(b*c)

q^6^2 = q^(6*2) = q^12

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Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously. Assuming no deposits or withdrawa

natulia [17]

Answer: 14

Step-by-step explanation:

7 0

3 years ago

(x/x+3)-(8/x+2)=(-13x-6)/(x^2+5x+6)

Fed [463]

Answer:

x = -9

x = 2

Step-by-step explanation:

Given:

$\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{x^2+5x+6}$

First, note that

$x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=(x+2)(x+3)$

Since $x+2$ and $x+3$ stay in the denominator, then

$x\neq -2\ \text{and}\ x\neq -3$

Now add two fractions which stay in the left part. The common denominator is $(x+2)(x+3),$ so multiply the numerator of the first fraction by $(x+2)$ and the numerator of the second fraction by $(x+3)$ and subtract them in the numerator:

$\dfrac{x}{x+3}-\dfrac{8}{x+2}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\\dfrac{x(x+2)-8(x+3)}{(x+2)(x+3)}=\dfrac{-13x-6}{(x+2)(x+3)}\\ \\x(x+2)-8(x+3)=-13x-6\\ \\x^2+2x-8x-24=-13x-6\\ \\x^2+2x-8x+13x-24+6=0\\ \\x^2+7x-18=0\\ \\x^2+9x-2x-18=0\\ \\x(x+9)-2(x+9)=0\\ \\(x+9)(x-2)=0\\ \\x+9=0\ \text{or}\ x-2=0\\ \\x=-9\ \text{or}\ x=2$

3 0

3 years ago

PLZ HELP!!! 20 POINTS!!!

dangina [55]

$Answer: \\ Since \: \widehat{SRT} = \widehat{STR} \: \\and \: \widehat{RTU} = \widehat{STR} + \widehat{STU} = 180^{\circ} \\ \Rightarrow \widehat{SRT} + \widehat{STU} = 180^{\circ} \\ \Leftrightarrow 4x - 20 + 6x = 180 \\ \Leftrightarrow10x = 200 \\ \Leftrightarrow x = 20 \\ \widehat{SRT} = 4 \times 20 - 20 = 60^{\circ}$

4 0

3 years ago

Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have

krek1111 [17]

Answer:

k-3 ≥8

Step-by-step explanation:

k-3 ≥8

kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.

7 0

3 years ago

Factor 7 from 21x2 - 35x + 14

Anastasy [175]

Answer:

7(3x^2 - 5x + 2) is the answer

7 0

3 years ago