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babymother [125]
3 years ago
14

Which of the following coordinates does this line pass through?

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

(3, 5)

Step-by-step explanation:

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Solve systems of equations by algebraically x-2y=7 <br> 2x+5y =5
Natali [406]

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

<em>1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.</em>

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

<em>2. Now take your second equation and plug in what you got for x into the x variable.</em>

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

<em>3. Since you have one variable solved for. Now take the first equation and plug in your y.</em>

x-2(-1)=7

(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

<em>4. If needed, plug in your x and y values into the equations in order to check your answer.</em>

Hope this could help!

8 0
3 years ago
Read 2 more answers
when justin goes to work he drives at an average speed of 65 mph. it takes about 1 hour and 30 minutes for justin to arrive at w
Artyom0805 [142]
No it would be 91.25

4 0
3 years ago
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
FrozenT [24]
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

7 0
3 years ago
Read 2 more answers
Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
​9 ×​ 10² <br> I NEED ANSWERS QUICK
garik1379 [7]
900.


Hope this helps!
3 0
3 years ago
Read 2 more answers
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