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2 years ago

Rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

10x - x^2 + 1
first make both sides equal to 0

10x - x^2 + 1 = 0
get rid of x^2 by adding it to both sides

10x + 1 = x^2
get rid of 10x and +1 by subtracting both sides by the values

0 = x^2 - 10x - 1

Now you get x^2 - 10x - 1

a= 1 b= -10 c= -1

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8% of what number is 2

sesenic [268]

25 is the number. Hope this helps.

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3 years ago

(cot^2x - 1)/(csc^2x) = cos2x

Alex787 [66]

Answer:

Step-by-step explanation:

The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):

$cos(2x)=cos^2x-sin^2x$ ,

$cos(2x)=1-2sin^2x$ , and

$cos(2x)=2cos^2x-1$

We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:

$\frac{\frac{cos^2x}{sin^2x} -\frac{sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

Notice I also wrote the 1 in terms of sin^2(x).

Now we will put the numerator of the bigger fraction over the common denominator:

$\frac{\frac{cos^2x-sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

The rule is bring up the lower fraction and flip it to multiply, so that will give us:

$\frac{cos^2x-sin^2x}{sin^2x} *\frac{sin^2x}{1}$

And canceling out the sin^2 x leaves us with just

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3 years ago

What percent of the weighed between 12oz and 30 oz?

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Answer:

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3 years ago

A dolphin jumps out of the water with

Mandarinka [93]

Answer:

$t=1.25\ sec$

Step-by-step explanation:

we have

$h(t)=-16t^{2}+20t$

where

t is the time in seconds

h is the dolphin's height in feet

we know that

When the dolphin return to the water the value of h(t) is equal to zero

For h(t)=0

$0=-16t^{2}+20t$

$16t^{2}=20t$

Simplify

$16t=20$

$t=\frac{20}{16}$

$t=\frac{5}{4}=1.25\ sec$

see the attached figure to better understand the problem

3 0

3 years ago

When the assumption of equally likely outcomes is used to assign probability values. True or False

harkovskaia [24]

Answer:

FALSE

Step-by-step explanation:

In probability, the frequency of each of the outcomes is used to divide the total number of outcomes as this will be able to calculate the probability of each outcomes, this implies that, it is not a must that each outcomes must be the same or equally likely, hence the statement is FALSE.

As such, Probability = Number of favorable outcomes / total number of equiprobable outcomes

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3 years ago