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muminat
3 years ago
6

Use an algebraic method to solve the following equation: x^2+3x-10=0

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

x=2, -5

Step-by-step explanation:

ohaa [14]3 years ago
7 0

Answer:

x = 2 or x = -5

Step-by-step explanation:

(x−2)(x+5)=0

x−2=0 or x+5=0

x=2 or x=−5

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1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by
Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by  distribution with

  mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

 second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

   290 yards

∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = \frac{290-304}{8} = -1.75

* Let us use the normal distribution table to find the corresponding

 area of z = -1.75

∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

  onto the green if he hits the ball a distance  in the top 10% of all

  his drives

- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

  to the right or 90% to the left

∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = \frac{x-304}{8}

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0
3 years ago
Place a check mark in the box next to each expression that is equivalent to 4^3
damaskus [11]
B, d, e, f

they all equal 64
7 0
3 years ago
Part D
In-s [12.5K]

Answer:

0.222

Step-by-step explanation:

8 0
2 years ago
Can someone please give me this answer to question 3 please
s344n2d4d5 [400]

Answer:

kurt

Step-by-step explanation:

5 0
2 years ago
A number multiplied by -8, subtracted from the sum of 14 and five times the number
Charra [1.4K]

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

7 0
3 years ago
Read 2 more answers
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