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Jlenok [28]
3 years ago
12

Solve the following system of equations graphically.

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

A

Step-by-step explanation:

TOOK THE TEST GOT IT RIGHT

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
Lapatulllka [165]

Answer:

Step-by-step explanation:

Given that there is a function of x,

f(x) = 2sin x + 2cos x,0\leq x\leq 2\pi

Let us find first and second derivative for f(x)

f'(x) = 2cosx -2sinx\\f"(x) = -2sinx-2cosx

When f'(x) =0 we have tanx = 1 and hence

a) f'(x) >0 for I and III quadrant

Hence increasing in (0, \pi/2) U(\pi,3\pi/2)\\

and decreasing in (\pi/2, \pi)U(3\pi/2,2\pi)

x=\frac{\pi}{4}, \frac{3\pi}{4}

f"(\pi/4)

Hence f has a maxima at x = pi/4 and minima at x = 3pi/4

b) Maximum value = 2sin \pi/4+2cos \pi/4 =2\sqrt{2}

Minimum value = 2sin 3\pi/4+2cos 3\pi/4 =-2\sqrt{2}

c)

f"(x) =0 gives tanx =-1

x= 3\pi/4, 7\pi/4

are points of inflection.

concave up in (3pi/4,7pi/4)

and concave down in (0,3pi/4)U(7pi/4,2pi)

3 0
3 years ago
Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the bl
galben [10]

Answer:

95%

Step-by-step explanation:

About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.

P(z1<Z<z2)=P(-2<Z<2)

P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)

P(-2<Z<2)=0.4772+0.4772

P(-2<Z<2)=0.9544

Thus, About 95% of the area is between z2 and z2

4 0
3 years ago
Find the measure of the angle indicated by 19x+5.
Ugo [173]

Answer:

100

Step-by-step explanation:

16x + 19x + 5 = 180   {co-interior angles are supplementary}

Combine like terms;

35x + 5 = 180

Subtract 5 from both sides

35x = 180 - 5

35x = 175

Divide both sides by 35

x = 175/35

x = 5

19x + 5 = 19*5 + 5

           = 95 + 5

           = 100

3 0
3 years ago
Read 2 more answers
X = {(2, 3), (2, 4), (2, 5), (2, 6)} is x a function and why? no, each ordered pair in this list has the same first element. yes
Vesnalui [34]
For every input, there is one output
for every x there is one y
(x,y)

if x repeats with a differnt y, it's not a function
we see
(2,3) and (2,4) and all of them

no, not a function
<span>no, each ordered pair in this list has the same first element
answer is first one
</span>


6 0
3 years ago
“the sum of -5 and -11, increased by 14”
Sedbober [7]

Answer:

-2

Step-by-step explanation:

add the -5 and -11, then add on to it the 14

8 0
3 years ago
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