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love history [14]
3 years ago
6

Luis evaluated the expression \large 3^5+6^3, but he made a mistake. His work is shown below:

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

In first line he multiplied exponent times base but we should multiply base times its exponent.

correct solution

3^5+6^3

=3*3*3*3*3+6*6*6

=243+216

=459

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What’s up solution should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0
ladessa [460]

Answer:

x = cuberoot( -9/8)= -1.04004  or  x = cuberoot(1/2)=0.7937

Step-by-step explanation:

let y = x^3 + 1

we have:

16*(y) ^2   -  22 (y)  - 3 = 0

16 = 2* 8

-3 = -3* 1

8*-3  + 2 = -24 + 2 = -22

Factor as  (8y + 1)(2y - 3) =  16 (y)^2 - 22(y) - 3 = 0

so  (8y + 1) = 0   or   2y - 3 = 0

y = -1/8   OR   y = 3/2

with  y = x^3 + 1

solve for x

-1/8 =  x^3 + 1

x^3 = - 9/8

x = cuberoot( -9/8)

about x = -1.04004

or   3/2 = x^3 + 1

1/2 = x^3

x =  cuberoot( 1/2 ) = 0.7937

3 0
3 years ago
Can somebody help solve it?
Oksanka [162]

Answer:

Step-by-step explanation:

It's an isosceles triangle so it means two sides are equal or better term congruent .

So PR is equal to PQ

You can write

X+1=2x+1

Solve the equation

2x+1-x-1=0

X=0

In order to find PQ plug X in place of 2x+1

To find

QR do the same for its expression .

4 0
3 years ago
Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. W
eimsori [14]

Answer: Nicole can spend up to 7 hours in the boat.

Step-by-step explanation:

Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:

(6 × t) - 9 ≤ 33

6t - 9 ≤ 33

Collect like terms

6t ≤ 33 + 9

6t ≤ 42

Divide both side by the coefficient of t

6t/6 ≤ 42/6

t ≤ 7

Nicole can spend up to 7 hours in the boat.

4 0
2 years ago
6x - 7y = -2 solve for x
aivan3 [116]

Answer:

x=-3+7y

Step-by-step explanation:

add 7y to both sides then divide by 6 to get x by itself,you end up with x=-3+7y

7 0
3 years ago
Read 2 more answers
Determine the infinite limit. <br><br> lim (x + 6) / (x + 7)<br> xââ7â
scoray [572]

Answer:

\lim_{x \to \infty} \frac{x+6}{x+7} = 1

Step-by-step explanation:

You have to calculate the following limit:

\lim_{x \to \infty} \frac{x+6}{x+7}

To solve the previous limit, you can factor x from numerator and denominator of the function, and use the fact that c/∞ = 0 with c a constant.

\lim_{x \to \infty} \frac{x+6}{x+7}=  \lim_{x \to \infty}\frac{x(1+\frac{6}{x})}{x(1+\frac{7}{x})}=\lim_{x \to \infty}\frac{1+6/x}{1+7/x}=\frac{1+0}{1+0}=1

Hence, the limit is 1, L = 1

6 0
3 years ago
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