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3 years ago

Find the function value.. . cos^2(7pi/8)=

1 answer:

4 0

To evaluate this function, we use the calculator. We change the setting to radian first because we are using pi and thensimply input the cosine of 7 pi over 8. Then we square the answer. <span>We expect this number to be less than 1. </span>The function value is 0.8536.

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Simplify 12/5(10/3b+15/4) .

Elodia [21]

Step 1. Simplify 10/3b to 10b/3
12/5(10b/3 + 15/4)
Step 2. Distribute
8b + 9

7 0

3 years ago

Read 2 more answers

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

2x^3 - 2x^2

===========

-12x^2 + 28x

-12x^2 +12x

==========

26x -26

26x - 26

========

Now you can factor 2x^2 - 12x + 26

2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

=============

x = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

3 +/- 2i

8 0

3 years ago

plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoe

disa [49]

Answer:

Step-by-step explanation:

Pru, Piper, Phoebe ratio 5:3:4vadded = 12

What this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount of spices.

pru = piper + 24

5/12x = 3/12x + 24

5/12x - 3/12x = 24

2/12x = 24

x = 24 / (1/6)

x = 24 * 6

x = 144 spices in total

Pru has : 5/12(144) = 720/12 = 60 spices

Piper has : 3/12(144) = 432/12 = 36 spices

Phoebe has : 4/12(144) = 576/12 = 48 spices

I hope this can help.

6 0

3 years ago

Read 2 more answers

I need help With what the answer is

Marina CMI [18]

Answer:

OPTION C: y = 2x² + 1

Step-by-step explanation:

To identify the function substitute the values of 'x' and 'y' and compare LHS and RHS.

OPTION A: y = -(5x + 1)

When x = -2, y = 9

Therefore, LHS = 9

RHS = -(5(-2) + 1) = -(-10 + 1) = 9

So, LHS = RHS.

Now, we check for the second pair. i.e., (x, y) = (-1, 3)

LHS = 3

RHS = -(-5 + 1) = -(-4) = 4

LHS $\ne$ RHS

So, this option is eliminated.

OPTION B: y = - 4x + 1

Like OPTION A, substitute x = -2 and y = 9.

LHS = 9

RHS = - 4(-2) + 1 = 9

LHS = RHS

Now for the second pair: (-1, 3)

LHS = 3

RHS = -4(-1) + 1 = 4 + 1 = 5

We see LHS $\ne$ RHS.

So, this option is eliminated as well.

OPTION C: y = 2x² + 1

Substituting the first pair: (-2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

So, LHS = RHS

Now For the second pair: (-1, 3)

We have LHS = 3

RHS = 2(1) + 1 = 3

LHS = RHS.

The third pair: (0, 1)

LHS = 1

RHS = 2(0) + 1 = 1

For the pair: (1, 3)

LHS = 3

RHS = 2(1) + 1 = 3

Again, LHS = RHS

For the pair: (2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

Since, for all the pairs we have LHS and RHS equal, we con conclude that this is the correct representation of our function.

Similarly, substitute OPTION D. The option can be eliminated in the second pair itself.

So, the answer is OPTION C.

7 0

3 years ago

How do you find x In mathematics?

vovangra [49]

The x is the independent variable of the number and the y is the dependent so find the one thats independent

8 0

3 years ago