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KatRina [158]
4 years ago
6

Find two consecutive even integers such that the square of the smaller is 10 more than the larger.

Mathematics
1 answer:
Neko [114]4 years ago
6 0
Let the two consecutive even integers be x and x+2.

Then x^2 = (x+2) + 10

Simplifying, x^2-x -2 - 10 = 0, or x^2 - x - 12 = 0.  Factoring,

(x-4)(x+3) = 0.  Solving for x:  x=4 and x= -3.

If the first number is x = 4, then the second is x+2=4+2=6.

But wait!  If the first number is -3, then the second is x+2 = -3+2 = -1.

Do NOT accept these answers until after you've checked them!

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6 hrs

Step-by-step explanation:

4:5

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3 years ago
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3 years ago
Sarina throws a ball up into the air, and it falls on the ground nearby. The ball's height, in feet, is modeled by the function
tangare [24]

Answer:

(C) 3 feet

Step-by-step explanation:

We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.

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f(x) = 3

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Hope this helped!

7 0
3 years ago
Suppose your average, after taking 4 quizzes, is 71 (out of 100). what must your average be on the next 5 quizzes to increase yo
Anton [14]
Short answer: 98
Remark

when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them. 
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284

Step Two
Create an equation that will give you the necessary point count to average 86.

284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz.  You have to put together 9 such quizzes with a total count of 774.

Step three 
Solve the equation.
284 + 5x = 774  Subtract 284 from both sides.
5x = 774 - 284
5x = 490   Divide by 5
x = 490/5
x = 98

You must get an average of 98 on the next 5 quizzes

Answer: 98 <<<<<

5 0
3 years ago
What is a function to represent inches as function of f(x)
podryga [215]

Answer:

f= h/12

Step-by-step explanation:

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