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prohojiy [21]
3 years ago
14

Solve the equation 2x2 + 13x + 15 = 0 by factoring. Show all steps.

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

(2x + 3)(x + 5)

Step-by-step explanation:

2x² + 3x + 15 = 0

(2x + 3)(x + 5)

2x + 3 = 0

2x = -3

x = -3/2

x + 5 = 0

x = -5

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During the basket ball season, morgan made 3 times as many 2 point baskets as she made 3 point baskets and free throws combined.
pogonyaev

Answer: Morgan make (66) 2point baskets.

Explanation:

It is given that during the basketball season, morgan made 3 times as many 2 point baskets as she made 3 point baskets and free throws combined.

Let the number of 2point basket be x, the number of 3point basket be y and the number of free throws be z.

x=3(y+z)

If she made 14 free throws and eight 3point baskets, then the number of 2point did she make is,

x=3(14+8)

x=3(22)

x=66

Therefore, the number of 2point baskets make by morgan is 66.

8 0
3 years ago
Read 2 more answers
The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th
Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

____________________________________________________

4 0
3 years ago
Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Jlenok [28]

<u>To find the area of the circle</u>:

 ⇒ need to know the formula: \pi r^{2}

  • r: radius or half of diameter's length ⇒ 7 meters

<u>Let's calculate:</u>

 Area = \pi (7)^2=49\pi =153.9380m^3

<u>The problem asks us to round to the nearest hundreth</u>:

Area = 153.94m^3

<u>Answer:</u> 153.94m^3

Hope that helps!

 

4 0
2 years ago
The drama club is showing a video of their recent play.The first showing will begin at 2:30pm.The second showing was scheduled t
Rudiy27
The second showing had begun at 5:25. And there had been a 1/2 hour (30 minutes) break before it. So we substract this break from 5:25 and we get 4:55 - the time when the first showing had ended. 

So the first showing had begun at 2:30 and had ended at 4:55. By substracting 2:30 from 4:55 we get 2:25 - that's the duration of the video.

The answer is 2 hours and 25 minutes.
4 0
3 years ago
Read 2 more answers
of the 30 girls who turn out for the lacrosse team at Euclid Middle school, 12 were selected. of the 40 boys who tried out 16 we
deff fn [24]

12 girls out of 30 were selected, so the ratio "selected:tried" if 12/30. This fraction can be simplified into

\dfrac{12}{30} = \dfrac{2}{5}

Similarly, 16 boys out of 40 were selected, so the ratio "selected:tried" if 16/40. This fraction can be simplified into

\dfrac{16}{40} = \dfrac{2}{5}

So yes, the ratio of the number of students on the team to the number of students trying out the same for both boys and girls

4 0
3 years ago
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