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Ulleksa [173]
3 years ago
5

Expand and simplify (x-3)(x+5)​

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer: x² + 2x - 15

Step-by-step explanation:

<u>Concept:</u>

When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.

  • First
  • Outer
  • Inner
  • Last

<u>Solve:</u>

Given

(x - 3) (x + 5)

Expand parentheses

x² + 5x - 3x - 15

Combine like terms

x² + (5x - 3x) - 15

x² + 2x - 15

Hope this helps!! :)

Please let me know if you have any questions

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Mary invests £12,000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment
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Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:

P = Principal / initial amount

R = rate of interest per cent per year

T = number of years

A = final amount at the end of T years

Then:

A = P*(1 + R/100)^2

In our example:

P = £12000

R = 1.5 per cent per year

T = 2 years

Thus:

A = 12000*(1 + 1.5/100)^2

  = 12000*(1 + 0.015)^2

  = 12000*(1.015)^2

   = 12000*(1.030225)

   = 12362.7

Value of investment after two years = £12362.7

5 0
2 years ago
In AABC, a = 8, b = 5, and c = 9. What is the value of<br> angle B.
FromTheMoon [43]
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3 years ago
What is the best approximation of the solutions to the system to the nearest integer values?
Aleksandr-060686 [28]
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So approximately, we have the point as (0.8, 6.7).
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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

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Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

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Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

Therefore, our desired equation will be y=-3x+48.

6 0
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Gisele went to the shoe store and bought two pairs of flats. One pair was $21.20, and the other was $31.50. If she has $60.00, h
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