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Ksju [112]
1 year ago
6

Part of the graph of the function f(x) = (x + 4)(x - 6) isshown below.Which statements about the function are true? Selecttwo op

tionsThe vertex of the function is at (1,-25).6The vertex of the function is at (1,-24).The graph is increasing only on the interval -4

Mathematics
1 answer:
Alex Ar [27]1 year ago
8 0

The vertex of the function is (1, -25) Correct

Because

f(x) = (x + 4)(x - 6)

Substitution

-25 = (1 + 4)(1 - 6)

Simplification

-25 = (5)(-5)

Result

-25 = -25 As both sides of the equation are equal this option is true

5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis

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The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with
likoan [24]

Answer:

Percentage of students who scored greater than 700 = 97.72%

Step-by-step explanation:

We are given that the College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.

Let X = percentage of students who scored greater than 700.

Since, X ~ N(\mu, \sigma^{2})

The z probability is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)    where, \mu = 500  and  \sigma = 100

So, P(percentage of students who scored greater than 700) = P(X > 700)

   P(X > 700) = P( \frac{X-\mu}{\sigma} < \frac{700-500}{100} ) = P(Z < 2) = 0.97725 or 97.72% Therefore, percentage of students who scored greater than 700 is 97.72%.

8 0
3 years ago
A living room has a circular rug. According to a small tag, the rug has a circumference of 6.28 yards. What is the rug's radius?
mezya [45]

Answer:

1 yard

Step-by-step explanation:

the formula for the circumference of a circle is 2 times pi times the radius of the circle. so to find out the radius you divide the circumference by 2 and then by pi.

3 0
3 years ago
What are the values of x and y in this figure?
Reika [66]
Hello!

We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:

(angle 1) + (angle 2) + (angle 3) = 180

Insert all known values and variables of triangle ABC into the formula above:

30 + (80 + y) + y = 180

Simplify and combine like terms:

30 + 80 + y + y = 180
110 + 2y = 180

Now subtract 110 from both sides of the equation:

2y = 70

Divide both sides by 2:

y = 35

We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:

y + y + x = 180
(35) + (35) + x = 180

Combine like terms:

70 + x = 180

Subtract 70 from both sides of the equation:

x = 110

We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.

I hope this helps!
6 0
4 years ago
3x2 + 24x = 0 for x.
Alla [95]

Answer:

0

Step-by-step explanation:

Well, if the total is zero, and you are multiplying 3,x,and 2, and multiplying 24 and x, to get zero, wouldn't x just be 0? Because 3 times 0 is 0, 2 times 0 is 0, and 24 times 0 is 0. That would all equal 0. Because you are basically just adding 0 and 0.

3 0
3 years ago
Read 2 more answers
Is the following inequality always, sometimes, or never true? Why <br> 3+5x&lt;5(x+1)
FrozenT [24]
It is never true because there is no sum
7 0
3 years ago
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