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asambeis [7]
3 years ago
12

Graph the ordered pairs for y = 4x + 2 using x = {-2, 1, 2}

Mathematics
2 answers:
matrenka [14]3 years ago
4 0
Y = -6    y also = 6  and finally y = 10 hope I helped
Grace [21]3 years ago
3 0

Answer:

The answer in the attached figure

Step-by-step explanation:

we have

y=4x+2      

The graph of this equation is a straight line

The domain is all real numbers

The range is all real numbers

Step 1

Find the value of y for x=-2

Substitute the value of x in the equation and solve for y

y=4(-2)+2

y=-8+2

y=-6

The ordered pair is the point (-2,-6)

Step 2

Find the value of y for x=1

Substitute the value of x in the equation and solve for y

y=4(1)+2

y=4+2

y=6

The ordered pair is the point (1,6)

Step 3

Find the value of y for x=2

Substitute the value of x in the equation and solve for y

y=4(2)+2

y=8+2

y=10

The ordered pair is the point (2,10)

Step 4

Plot the ordered pairs

(-2,-6)

(1,6)  

(2,10)

see the attached figures    


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Use the circuits shown to solve each of the following:
Harlamova29_29 [7]

Answer:

1. R = 8 ohms 2. V = 32 volts

Step-by-step explanation:

<h3>1. We have,</h3>

Voltage, V = 16 V

Current, I = 2 A

We need to find the resistance of the circuit. Using Ohm's law,

V = IR

So,

R=\dfrac{V}{I}\\\\R=\dfrac{16}{2}\\\\R=8\ \Omega

2. Current, I = 8 A

Resistance, R = 4 ohms

We need to find the voltage of the circuit. Using Ohm's law again,

V = 8 × 4

V = 32 volts

Hence, this is the required solution.

6 0
3 years ago
Write the following logarithmic expression as a single logarithm weigh coefficient 1.
Mashutka [201]

Answer:

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3 0
3 years ago
you have enough tickets to play 6 different games at a amusement park. if there are 14 games, how many ways can you choose six?
Musya8 [376]

Answer:

3003 ways

Step-by-step explanation:

You can basically choose 6 games from 14 games in total. This is essential a combination problem. We want the number of ways to choose 6 things from 14 things. The general formula for combinations is:

nCr=\frac{n!}{r!(n-r)!}

Which tells us the number of ways to choose "r" things from a total of "n" things.

The factorial notation is:

n! = n * (n-1) * (n-2) * ....

Example:  3! = 3 * 2 * 1

Now, we know from the problem,

n = 14

r = 6

So, substituting, we get:

nCr=\frac{n!}{r!(n-r)!}\\14C6=\frac{14!}{6!(14-6)!}\\=\frac{14!}{8!*6!}\\=\frac{14*13*12*11*10*9*8!}{6!*8!}\\=\frac{14*13*12*11*10*9}{6*5*4*3*2*1}\\=3003

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7 0
3 years ago
I will award brainliest!!!
stepan [7]

Answer: The measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.

Explanation:

It is given that the reflex angle ∠DOB has measure of 3.5y while the measure of ∠AOD is y.

From the given figure we can say that angle AOC and COB are supplementary angles and their sum is 180 because they are lies on a straight line.

\angle DOB=\angle AOD+\angle AOC+\angle COB

3.5y=y+180

3.5y-y=180

2.5y=180

y=72

Therefore the value of y is 72.

\angle DOB=3.5y

\angle DOB=3.5\times 72

\angle DOB=252

Therefore the reflex and is 252 degree.

The measure of non-reflex ∠DOB is,

\angle DOB=360-252=108^{\circ}

Therefore, the  measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.

6 0
3 years ago
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erma4kov [3.2K]

Solution:

<u>We know that:</u>

Area \ of \ triangle = \dfrac{1}{2} \times Base \times Height

<em>Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.</em>

Area \ of \ triangle = \dfrac{1}{2} \times 18 \times24

<u>Cancel out the "2" by dividing it by 18.</u>

Area \ of \ triangle =  9 \times24

<u>Simplify the multiplication.</u>

\bold{Area \ of \ triangle =  216 \ ft^{2}}

6 0
3 years ago
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