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Likurg_2 [28]
4 years ago
8

Graph the function for the given domain 3x-y = 1; D: {-3, -1, 0, 4}

Mathematics
1 answer:
Maru [420]4 years ago
3 0

See in the attached file

<h2>Explanation:</h2>

In this case, we have the following linear function written in Standard form:

3x-y = 1

But we can write it in slope intercept form:

3x-y = 1 \\ \\ \\ Add \ -3x \ to \ both \ sides: \\ \\ 3x-y-3x = 1-3x \\ \\ -y=-3x+1 \\ \\ \\ Multiply \ by \ -1: \\ \\ y=3x-1

For the domain D: {-3, -1, 0, 4}, that is, x takes these values, we have the following y-values:

x=-3 \\ \\ y=3(-3)-1=-10 \\ \\ \\ x=-1 \\ \\ y=3(-1)-1=-4 \\ \\ \\ x=0 \\ \\ y=3(0)-1=-1 \\ \\ \\ x=4 \\ \\ y=3(4)-1=11

By using graphing tools we can graph the points:

(-3,-10) \\ \\ (-1,-4) \\ \\ (0,-1) \\ \\ (4,11)

The graph is shown below.

<h2>Learn more:</h2>

Linear function: brainly.com/question/13654704

#LearnWithBrainly

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Evaluate <br> 1/3 ÷ 2/5 =<br> Give your answer as a fraction in its simplest form.
Softa [21]

Answer:

5/6

Step-by-step explanation:

Since 1/3÷2/5 can also be written as 1/3/2/5

So the ÷ can then be converted to × and 2/5 will change to 5/2

So let's solve

1/3×5/2

5/6

Since there is no common number that can divide the two

So the final answer is 5/6

3 0
3 years ago
Read 2 more answers
The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0
4 years ago
What is 6.9×10^7 written in standard form
NikAS [45]
If it isnt in standard form already it would be 69000000
7 0
3 years ago
Read 2 more answers
Solve using elimination.<br> 4x + y = -5<br> 8x + 3y = -19<br> Plz I need help
Debora [2.8K]

Answer:

(1, -9)

Step-by-step explanation:

4x + y = -5

8x + 3y = -19

If we have to use elimination, that means we're going to add or subtract these two whole equations by each other so that we can cancel out one of the variables.

I think that we could easily turn 4x into 8x if we multiply the top equation by 2.

4x + y = -5 ---> 8x + 2y = -10

Now put them next to each other, and subtract to get rid of the xs.

  8x + 2y = -10

-  8x + 3y = -19

------------------------

  0x - y = -10 - -19

  -y = 9

   y = -9

Plug this back in to get x.

  4x + y = -5

  4x - 9 = -5

  4x = -5 - -9

  4x = 4

  x = 1

7 0
3 years ago
The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
5 0
3 years ago
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