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ikadub [295]
3 years ago
9

A quadratic function has a line of symmetry at x = –3 and a zero at 4.

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
<span>Just find the distance from -3 to 4. That's 7.
 It is 7 units to the left of -3. Subtract 7 from -3. That's -10</span>
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Factor 8x^3y + 38x^2y - 10xy
Sophie [7]

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

7 0
2 years ago
Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y &lt; 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

46 > 20 --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

4 0
2 years ago
At restaurants waiters typically receive tips that average 15% of the customer’s bill. At this rate, which of the following is t
kodGreya [7K]

Answer:

B $12.69

Step-by-step explanation:

Divide 84.63 by 100 to get 1% of the bill and then multiply the answer by 15 for 15% and round it:

$\frac{84.63}{100} \times 15 = 12.6945$

The closest answer would be B $12.69.

3 0
2 years ago
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthl
Pavel [41]

Answer:

Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?

Step-by-step explanation:

7 0
1 year ago
Timothy has a savings account that he started five years ago to begin saving for college. The
torisob [31]

Answer:

A. $1500.00

Step-by-step explanation:

Assuming this is a simple interest savings account.

<u>Simple interest formula</u>

I = Prt

where:

  • I = total interest
  • P = principal amount
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = $225
  • r = 3% = 0.03
  • t = 5 years

Substitute the given values into the formula and solve for P:

⇒ I = Prt

⇒ 225 = P(0.03 ×5)

⇒ 225 = P(0.15)

⇒ P = 225 ÷ 0.15

⇒ P = 1500

Therefore, Timothy started the account with $1500.00.

4 0
1 year ago
Read 2 more answers
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