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Zanzabum
3 years ago
8

Simplify the expression using the order of operations. 16 + 30 ÷ 5 − 2^2 =

Mathematics
2 answers:
aivan3 [116]3 years ago
8 0

Answer:The answer is 6

andre [41]3 years ago
3 0
I got the number 6the answer that i got is 6
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Find the parabola through
Anni [7]

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

3 0
3 years ago
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define
sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

7 0
3 years ago
Use the grouping method to factor x^3+x^2+3x+3
maks197457 [2]

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

7 0
3 years ago
The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?​
slavikrds [6]

Answer:

12 and 28

Step-by-step explanation:

Represent the numbers using x and y.  Then y - x = 16.  (y is the larger one.)

Then 3y = 7x, and y = (7/3)x.

Substituting (7/3)x for y in y - x = 16, we get:

(7/3)x - x = 16.

Eliminate the fraction by multiplying all three terms by 3:

7x - 3x = 48, or 4x = 48, yielding x = 12.  Then y = (7/3)(12) = 28.

5 0
3 years ago
If a phone cost $224 what would it cost if there was a 7% sales tax.
Annette [7]

Answer:

<u>$239.68</u>

Step-by-step explanation:

<u>Given</u>

  • Cost = $224
  • Sales Tax = 7%

<u>Solving</u>

  • Cost w/ Tax = Cost (1 + Tax)
  • Cost w/ Tax = 224 (1 + 0.07)
  • Cost w/ Tax = 224 * 1.07
  • Cost w/ Tax = <u>$239.68</u>
5 0
2 years ago
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