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Aleksandr-060686 [28]
3 years ago
7

The graph represents a system of linear equations comparing the outside and inside temperatures y, in degrees Fahrenheit, record

ed at a school one day x hours after 8:00 a.m. After how many hours were the inside and outside temperatures equal?
Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:its 8 hours

Step-by-step explanation: cuz it says how many hours it took to be the same temperature

bixtya [17]3 years ago
4 0
It will be the point at which the two lines intersect (the x point where the two of them have the same y value).  Hope that helps :)
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If I deposit $1,500 into a savings account that earns 5% interest. How much interest will I have earned after 15 years?
slavikrds [6]

Answer:

$1125

Step-by-step explanation:

0075

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20|1500

5 0
4 years ago
Find the roots of the quadratic equation x2 – 8x = 9 by completing the square. Show your work.
omeli [17]

Answer:

The answer is -1 or 9

The quadratic equation is ax² + bx + c  = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:

d = b/2a

e = c - b²/4a

Our quadratic equation is x² - 8x = 9, which is after rearrangement:

x² - 8x - 9 = 0

So, a = 1, b = -8, c = -9

Let's first calculate d and e:

d = b/2a = -8/(2 * 1) = -8/2 = -4

e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25

By completing the square we have:

a(x + d)² + e = 0

1(x + (-4))² + (-25) = 0

(x - 4)² - 25 = 0

(x - 4)² = 25

⇒ x - 4 = √25

Since √25 can be either -5  or +5 , then:

x - 4 = -5             or           x - 4 = 5

x = -5 + 4            or           x = 5 + 4

x = -1                   or           x = 9

Step-by-step explanation:

4 0
3 years ago
F(x) = -4x2 + 5x<br> Find f (6)
mina [271]
You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)
7 0
3 years ago
Simplify 3y - (y + 2x) + X.<br>A. 2y - x<br>B. 4y - x<br>C. 4y - 3x<br>D. 2y + 3x​
posledela

Answer:

its D

Step-by-step explanation:

hope this helps

5 0
3 years ago
Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for
Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

  • <u>15 cups of honey beans</u>
  • <u>9 cups carrots</u>
  • <u>12 cups cherry tomato</u>
  • <u>192 oz. vegetable broth</u>
  • <u>10.5 cup turnips</u>
  • <u>6 teaspoon salt</u>
  • <u>8 cups potato onions</u>
  • <u>1.25 teaspoons thyme</u>
  • <u>12 teaspoons garlic</u>

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

<em>The recipe for the beans soup is as follows as obtained from an online home work document are</em>;

<em>Vegetable Bean Soup that Serves 4 with volume of 0.</em>\overline 3<em> gallons</em>

<em>1.25 cups of honey beans</em>

<em>0.75 cup carrots</em>

<em>1 cup cherry tomato</em>

<em>16 oz. vegetable broth</em>

<em>0.875 cup turnips</em>

<em>0.5 teaspoon salt</em>

<em />0.\overline 6<em> cup potato onions</em>

<em>0.125 teaspoon thyme</em>

<em>1 teaspoon garlic</em>

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0.\mathbf{\overline 3} gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × 0.\overline 6 = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

  • 15 cups of honey beans
  • 9 cups carrots
  • 12 cups cherry tomato
  • 192 oz. vegetable broth
  • 10.5 cup turnips
  • 6 teaspoon salt
  • 8 cups potato onions
  • 1.25 teaspoons thyme
  • 12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

3 0
3 years ago
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