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3 years ago

Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and

1 answer:

8 0

Question a:
f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

Question b:
f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

Question c:
f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8

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50 Points!! Brennan has been playing a game where he can create towns and help his empire expand. Each town he has allows him to

marishachu [46]

Answer:

5 * 1.15ⁿ

Step-by-step explanation:

The equation would be

a1(r)^(n-1)

Now put it all together

A15= 5(1.15)^(15-1)

Count the rest and add the towns each

A15= 35.38

35 villagers now

Now you will find the equation 1

an=5(1.15)^(n-1)

So it going to equal 5 * 1.15ⁿ

3 0

3 years ago

Please find the angles

marusya05 [52]

Step-by-step explanation:

a/q both the traingles are similar/congruent so,

theri angles also have equal value

angle Q = angle A

so,

apply angle sum property of triangle in ∆PQR

so according to it

Angle

P + Q + R = 180

→ 45° + 15° + Q = 180

→ 60° + Q = 180

→ Q = 180 - 60 = 60°

→ angle Q = 60°

therefore, angle A = 60°

Angle R = angle B

so,

angle B = 15°

as, angle P = angle C

so,

angle C = 45°

hope this answer helps you dear....take care and may u have a great day ahead!

6 0

3 years ago

Find csc x if sin x + cot x cos x = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\sqrt{3}" alt="\sq

GaryK [48]

Answer:

csc(x) = $\sqrt{3}$

Step-by-step explanation:

sinx + cos^2(x)/sin(x) = sin(x) + (1-sin^2(x))/sin(x) = 1/sin(x) = csc(x)

csc(x) = $\sqrt{3}$

6 0

3 years ago

How can the Pythagorean Identity be used to find sin θ, cos θ, or tan θ and the quadrant location of the angle?

Archy [21]

First lets see the pythagorean identities

$sin^2 \Theta + cos^2 \Theta =1$

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

$sin^2 \Theta = 1-cos^2 \Theta => sin \theta = \pm \sqrt{1-cos^2 \Theta}$

Now we need to check the sign of sin theta

First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.

So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .

5 0

3 years ago

How do i find the circumcenter of a triangle with an undefined slope

gulaghasi [49]

The slope perpendicular to an undefined slope is: 0

Example:

x = 5 is a vertical line and has an undefined slope.

The line perpendicular to it is y = any value which has a slope of 0.

I hope this makes sense. If not, please post the homework question so we can help you find the circumcenter.

3 0

3 years ago