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shusha [124]
3 years ago
6

7 times a number is 8 less than the square of that number. Find the positive solution.

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer: 8

Step-by-step explanation:

7x+8=x^2

x^2-7x-8=0

(x-8)(x+1)=0

x=8

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Jay simplified the expression -3 × (3 + 12 ÷ 3) - 4. For his first step, he added 3 + 12 to get 15. What was Jay’s error?
ale4655 [162]

Answer:

He should have divided 12 ÷ 3 first.

Step-by-step explanation:

Following PEMDAS/BODMAS, the first step is solving equations in parentheses. Since the parentheses contain a multi-step equation, Jay needs to follow PEMDAS for inside the parentheses as well. Instead of adding 3+12 first, he should have done division first (12  ÷ 3).

How the problem should be solved:

-3 × (3 + 12 ÷ 3) - 4

-3 × (3 + 4) -4

-3 × 7 - 4

-21 - 4

-25

3 0
3 years ago
Read 2 more answers
Solve 4x + 11 = k for x. <br> O A. x= -11 <br> O B. x=-11 <br> O C. x = 4k - 44 <br><br> D. x= k-7
Wewaii [24]

Answer:

4x + 11 = k

<=> 4x = k - 11

<=>

x =  \frac{k - 11}{4}

6 0
3 years ago
The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many se
marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per <em>n</em> seconds

- Need to solve for <em>n</em>

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\frac{1.86 * 10^5}{1} = \frac{5.062 * 10^1^3}{n}

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13

4. Solve for <em>n</em> by isolating the variable and dividing.

\frac{n (1.86 * 10^5)}{1.86 * 10^5} = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n</em> = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)

4 0
3 years ago
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 40
svet-max [94.6K]

Answer:

The required equation is P(t) = -52t + 480

Step-by-step explanation:

Consider the provided information.

Let P represent the number of pages left to read after t hours.

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.

Total number of page Shryia read in 1.5 hours is:

480-402 = 78

It is given that the rate is constant i.e 1.5 hours,

Therefore, she read 78 pages in 1.5 hours.

She can read \frac{78}{1.5} = 52 page per hour

The required equation is:

P(t) = -52t + 480

Where t represents the number of hours.

8 0
3 years ago
Read 2 more answers
Solve: 56(-56+57m)+ 45m
N76 [4]

Answer:

I just solved this as well and I got 102m as well.

Step-by-step explanation:

56 and -56 cancek eachother out. 57m + 45m can be added since they have the same variable. 57 + 45 is 102. So the answer is 102m.

6 0
3 years ago
Read 2 more answers
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