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Leokris [45]
3 years ago
7

Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply.

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0
The answer is 
<span>D. y = 4cos(-x) - 2
proof
cosine is an even function, it means cos(-x) = cosx
so </span>y = 4cos(-x) - 2 = y = 4cos(x) - 2
valina [46]3 years ago
6 0

Answer:

According to Apex, the answer is B and D.

Step-by-step explanation:

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A spinner is divided into three equal sections labeled a B and C. Erik spins the spinner and rolls a fair number cube. The tree
ale4655 [162]

Answer:

Last one:

The probability of the spinner not landing on A and rolling a prime number is 1/3

Step-by-step explanation:

The probability of the spinner not landing on A: 2/3

Prime outcomes on a dice:

2, 3, 5

The probability of rolling a prime number: 3/6 = 1/2

The probability of the spinner not landing on A and rolling a prime number is:

2/3 × 1/2

1/3

7 0
3 years ago
Read 2 more answers
Find an example of a 2 dimensional object in your house that is rectangular or triangular.
Dmitry_Shevchenko [17]

Answer:

A = 216 cm^2

P = 80 cm

Step-by-step explanation:

l = 12

w = 18

As the object is rectangular, the area is height * width and the perimeter is

2(height + width) as there are two of each side.

12 * 18 = 216 U^2   U = unit of measurement, I would presume for a poster you use cm so its 216 cm^2

12 + 18 = 40

40 * 2 = 80 cm

6 0
3 years ago
PLEASE HELPPPP, Graph the equations using slope intercept form. y = -3x + 8
Zolol [24]

Answer:

Slope = -3

y- intercept= (0,8)

x : 0, 8/3

y : 8, 0

8 0
3 years ago
The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)
zhenek [66]
Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

3 0
3 years ago
(TEN POINTS)
Rainbow [258]
F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)

First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas \frac{y^2 - y^1}{x^2 - x^1}.  
1. (-1,-3)
2. (2,6)
\frac{6 - -3}{2 - -1} → \frac{9}{3} → \frac{3}{1}

The slope is 3 (\frac{3}{1}). Thusly, y = 3x + b

To find out the y-intercept, we can reverse the slope. [Note: This \frac{3}{1} is in \frac{rise}{run} where rise is 'y' and run is 'x'. Reversed would be \frac{-3}{-1} ]. Take the second ordered pair and use our reversed slope on it until we get 0 for x. 

(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)

Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
6 0
3 years ago
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