Which graph represents a function

Answer:

11:30 AM

Step-by-step explanation:

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

ANSWER:

8,7

5,6

4,3

1,2

This is a angle of pair

Answer:

16 quarters and 4 nickels

4×25=1.00 × 4 = 4.00 4×4=16-quarters

20-16=4-nickels

Step-by-step explanation:

Hope this helps!

Answer:

A. c. F.

Step-by-step explanation:

Answer:

y=2-1x

Step-by-step explanation:

the would be the answer because the way your line is going

Answer:

C.

Step-by-step explanation:

Answer:

b. angles 1 and 8

Step-by-step explanation:

alternate exterior angles theorm

Answer:

33.2°F

Step-by-step explanation:

[70 + (-30)] + [2 +(-9)] + [0.3 + (-0.1)]

=

40 + (-7) + 0.2

=

33 + 0.2

=

33.2°F

The temperature of the water dropped to 33.2°F after Raul added the ice cubes.

Hoped this helped!<3

Answer:

[70 + (-30)] + [2 +(-9)] + [0.3 + (-0.1)]

=

40 + (-7) + 0.2

=

33 + 0.2

=

33.2°F

The temperature of the water dropped to 33.2°F after Raul added the ice cubes.

Step-by-step explanation:

Answer:

enough is the correct worf

Answer:

X=2

Step-by-step explanation:

Make an equation: the scales are equal, so

x + x + 3 = 7

2x + 3 = 7

2x = 4

x = 2

Consider the operation is [tex]R_2\to -3R_2[/tex].

Given:

The augmented matrix below represents a system of equations.

[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]

To find:

Matrix results from the operation [tex]R_2\to -3R_2[/tex].

Step-by-step explanation:

We have,

[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]

After applying [tex]R_2\to -3R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right][/tex]

[tex]\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right][/tex]

Therefore, the correct option is A.

Answer:

9

Step-by-step explanation:

f(8)= 1/2(8) + 5

f(x)= 4 +5

f(x)= 9

Answer:

-1/2

Step-by-step explanation:

The slope is always the value with the x.

Answer:

Slope = - 1/2x

Step-by-step explanation:

Answer: Its 516. Hope this helps!

Step-by-step explanation:

Answer:

516

Step-by-step explanation:

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer:  (-162)/7

Answer:

i think 1+4=5 i have no clue if thats the hypothesis but like thats the correct equation

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Original Equation:

-10b + 5 = 7b + 5

Add 10b to both sides

5 = 17b + 5

Subtract 5 from both sides.

0 = 17b

Divide both sides by 17

b = 0

Hope I helped :)

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Answer:

x=40/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3x−3(6x−11)=−7

−3x+(−3)(6x)+(−3)(−11)=−7(Distribute)

−3x+−18x+33=−7

(−3x+−18x)+(33)=−7(Combine Like Terms)

−21x+33=−7

−21x+33=−7

Step 2: Subtract 33 from both sides.

−21x+33−33=−7−33

−21x=−40

Step 3: Divide both sides by -21.

−21x

−21

=

−40

−21

Answer:

18

Step-by-step explanation:

6+3=9

9*2=18

sorry if not right

Answer: solving for x is not meant for this type of problem.

Step-by-step explanation:

An integer is a whole number.

-17/n

Replace n with the choices:

-17/18 = -0.9444

-17/102 = -0.1666

-17/170 = -0.1

None of those are a whole number so the answer would be d. None of them.

Answer:

92

Step-by-step explanation:

If the 4 consecutive even integers have a sum of 380, then the average value is 380/4.

380/4 = 95

There must be 2 integers less than 95 and 2 grater than 95.

The 4 integers are: 92, 94, 96, 98

Sum: 92 + 94 + 96 + 98 = 380

Answer: 92

The 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The  4 consecutive even integers has a sum of 380.

x+2+x+4+x+6+x+8=380

Add the like terms

4x+20=380

Subtract 20 on both sides

4x=380-20

4x=360

Divide both sides by 4

x=90

So the four consecutive integers are

x+2=90+2=92

x+4=90+4=94

x+6=90+6=96

x+8=90+8=98

Hence, the 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

To learn more on Sequence click:

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Answer: K= 12

A=10

P= 6

B=pi/3

Equation: y=10sin(pi/3(x))+12

Step-by-step explanation: You can find k by finding the midline, or adding the minimum and maximum y values together and then dividing by 2.

You find a by using the midline value (12) and subtracting it from the maximum y value to get the amplitude.

To find the period, find the difference between the min and max x values, which is 3, then double it to get the full period.

To find the b value, plug it into the 2pi/b=p equation, using the period value you found before you should get pi/3.

When assembling the equation use this format: y=asin[b(x-h)]+k.

You can also graph it with a graphing calculator to check to be sure the max and min points line up.

A sine function is represented as: [tex]\mathbf{y = A\sin(Bx) + k}[/tex]

The given parameters are:

[tex]\mathbf{(x_1,y_1) = (4.5,2)}[/tex]

[tex]\mathbf{(x_2,y_2) = (1.5,22)}[/tex]

(a) The vertical shift (k)

The vertical shift is calculated using:

[tex]\mathbf{k = \frac{y_1 + y_2}{2}}[/tex]

So, we have:

[tex]\mathbf{k = \frac{2 + 22}{2}}[/tex]

[tex]\mathbf{k = \frac{24}{2}}[/tex]

[tex]\mathbf{k = 12}[/tex]

(b) The amplitude (A)

The amplitude is calculated using:

[tex]\mathbf{A = \frac{y_2 - y_1}{2}}[/tex]

So, we have:

[tex]\mathbf{A = \frac{22 - 2}{2}}[/tex]

[tex]\mathbf{A = \frac{20}{2}}[/tex]

[tex]\mathbf{A = 10}[/tex]

(c) The period (p) and the frequency factor (b)

The period is calculated using:

[tex]\mathbf{p = x_1 + x_2}[/tex]

So, we have:

[tex]\mathbf{p = 4.5 + 1.5}[/tex]

[tex]\mathbf{p = 6}[/tex]

The frequency factor (b) is calculated using:

[tex]\mathbf{b = \frac{2\pi}{p}}[/tex]

So, we have:

[tex]\mathbf{b = \frac{2\pi}{6}}[/tex]

[tex]\mathbf{b = \frac{\pi}{3}}[/tex]

(d) The equation of the sine function

A sine function is represented as:

[tex]\mathbf{y = A\sin(Bx) + k}[/tex]

So, we have:

[tex]\mathbf{y = 10\sin(\frac{\pi}{3}x) + 12}[/tex]

Read more about sine functions at:

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Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:

sin² A = (1 - cos 2A)/2

cos² A = (1 + cos 2A)/2

Proof LHS → RHS:

LHS:                          sin⁴ A

Expand:                     sin² A · sin² A

[tex]\text{Half-Angle:}\qquad \qquad \bigg(\dfrac{1-\cos (2A)}{2}\bigg)\bigg(\dfrac{1-\cos (2A)}{2}\bigg)[/tex]

[tex]\text{Distribute:}\qquad \qquad \dfrac{1-2\cos (2A)+\cos^2 (2A)}{4}[/tex]

[tex]\text{Half-Angle:}\qquad \qquad \dfrac{1-2\cos (2A)+\frac{1+\cos (2\cdot 2A)}{2}}{4}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{2}{2}[1-2\cos (2A)]+\frac{1+\cos (4A)}{2}}{4}[/tex]

                         [tex]=\dfrac{2-4\cos (2A) + 1 + \cos (4A)}{8}[/tex]

                         [tex]=\dfrac{1}{8}\bigg(3-4\cos (2A)+\cos (4A)\bigg)[/tex]

LHS = RHS  [tex]\checkmark[/tex]

Let's start from LHS...

LHS = sin^4A = sin^2A * sin^2A

We can apply a few formulas here;

cos 2A = 1 - 2sin^2A

sin^2A = (1 - cos2A) / 2

cos2A = 2cos^2A - 1

cos^2A = (1 + cos2A) / 2

According to the second formula, sin^2A * sin^2A = (1 - cos2A) / 2 * (1 - cos2A) / 2.

(1 - cos2A) / 2 * (1 - cos2A) / 2 = 1/4(1 - cos2A)^2

We can simplify "(1 - cos2A)^2." Remember that (a - b)^2 = a^2 - 2ab + b^2. Similarly (1 - cos2A)^2 = (1 - 2cos 2A + cos^2 2A);

1/4(1 - cos2A)^2 = 1/4(1 - 2cos 2A + cos^2 2A)

According to the fourth formula, cos^2 2A = (1 + cos4A) / 2;

1/4(1 - 2cos 2A + cos^2 2A) = 1/4(1 - 2cos 2A + (1 + cos4A) / 2)

= (taking LCM) 1/4( (2 - 4cos 2A + 1 + cos4A)/2 )

= (simplified) 1/8(3 - 4cos 2A + cos 4A)

Answer:

3 2/3

Step-by-step explanation:

divide the 3 by 11 and your product is the whole number, with the remainder being the numerator.

11 / 3 = 9.2

9/3=3

3 2/3

Unfortunately sucrose isn't classified as any of the above because it is not alive. Sucrose can however be classified as a disaccharide because it contains two monosaccharides (glucose and fructose). If you want to be more broad you can classify it as a carbohydrate.