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3 years ago

Solve the equation for all values of x. Not really sure how to do this? cos x = 3*cos x - 2

1 answer:

5 0

$\bf cos(x)=3cos(x)-2\implies 0=3cos(x)-2-cos(x)
\\\\\\
0=2cos(x)-2\implies 2=2cos(x)\implies \cfrac{2}{2}=cos(x)\implies 1=cos(x)
\\\\\\
cos^{-1}(1)=\measuredangle x\implies \measuredangle x=
\begin{cases}
0\\
2\pi 
\end{cases}$

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A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 ca

S_A_V [24]

Answer:

320 calories

Step-by-step explanation:

Small order of fries at Wendy’s = x calories

Small order of fries at McDonald’s = y calories

x = y + 90
x + y = 550

Substitute x in the second equation

y + 90 + y = 550
2y = 550 - 90
2y = 460
y = 230

Then, x is:

x = 230 + 90 = 320 calories

3 0

3 years ago

PLEASE HELP ASAPP WRONG ANSWERS GET REPORTED GOOD ANSWERS GET BRAINLIEST, THANK YOU :)

Helen [10]

(9) The correct Option is (C) 4, -3

Explanation:
The left hand limit is:
$\lim_{x \to 2^-} f(x) = +4$

+4 because the line(y=+4) is constant if limit approaches to 2 (from left side of the graph)

The right hand limit is:
$\lim_{x \to 2^+} f(x) = -3$

-3 because the line(y=-3) is constant if limit approaches to 2 (from the right side of the graph)

So the correct Option is (C) 4, -3

(10) The correct Option is (C) -4

Explanation:
$\lim_{x \to 3^+} f(x) = -4$

The plus sign in the limit indicates that it is the right hand limit. So we have to approach to 3 from the right side of the graph. When we do that, we see the constant line y = -4. Hence the correct option is (C)

NOTE: Although the question seems complex because there is slope involved but in this particular case, the examiner is concerned about the right hand limit. If she or he asks the left hand limit(3-minus) then we would take the slope-line.

P.S. Sorry for bit late reply! I thought somebody answered it already! :)

7 0

3 years ago

Statistics Help (P-Value 85 Points)

Svetach [21]

The p-value falls between 0.025 and 0.05 is my guess, since we have t = -1.45 in 25 observations. The test of H0 against Ha show that μ = 7.2 and μ < 7.2 means μ = μ (7.2 = 7.2).

7 0

3 years ago

Under a dilation, the point (3,5) is moved to (6,10) What is the scale factor of the dilation?

nlexa [21]

The scale factor of the dilation is 2.

Option D is correct.

Step-by-step explanation:

To find the scale factor of dilation, we find ratio of similar sides.

We are given the point (3,5) is moved to (6,10) under dilation.

Scale Factor = 6/3 = 2

Scale Factor = 10/5 = 2

The scale factor of the dilation is 2.

Option D is correct.

Keywords: scale factor of the dilation

Learn more about scale factor of the dilation at:

#learnwithBrainly

5 0

3 years ago

A tree initially measured 18 feet tall. Over the next 312 years, it grew to a final height of 3512 feet. During those 312 years,

Leni [432]

Answer:

Average growth= 11.20 feet

Step-by-step explanation:

First, we need to calculate the total growth during those 312 years:

Total growth= 3,512 - 18

Total growth= 3,494 feet

Now, the average growth:

Average growth= total growth / number of years

Average growth= 3,494 / 312

Average growth= 11.20 feet

8 0

3 years ago