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fomenos
2 years ago
11

How many variables does the equation y = 3x - 5 have? How many solutions does the equation y = 3x - 5 have? How could you show t

he solution(s) graphically?

Mathematics
1 answer:
mash [69]2 years ago
7 0

Answer:

The equation y = 3x - 5 has 2 variables: x and y.

The equation y = 3x - 5 has infinite solutions.

Step-by-step explanation:

Using the image as a reference you could see how the equation y = 3x - 5 is put on a graph. To graph this you want to first start with knowing y=mx+b. M stands for you slope, x stands for your x value, b stands for the y-intercept, and y stands for the y value. You are given both your slope and y-intercept. First put down your y-intercept which is -5 at point (0,-5) (use the image as reference.) You are then given a slope of 3. To graph the slope on the graph you want to rise 3 and run one since 3/1 equals 3. This would then get you to the point (1,-2) where you could just do a straight line on your graph from the two points to get the rest of the line graphed.

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Amy has $8 less than Maria.Together they have $30
gtnhenbr [62]
 a + m = 30
a = m - 8

(m - 8) + m = 30
2m - 8 = 30
2m = 30 + 8
2m = 38
m = 38/2
m = 19

a = m - 8
a = 19 - 8
a = 11

so Amy has $11 and Maria has $ 19
8 0
2 years ago
The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
kodGreya [7K]

\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

a=140-\frac{51}{2}=\boxed{\frac{229}{2}}

7 0
2 years ago
The equation A = x(x - 7) describes the area, A, of a rectangular flower garden, where x is the width in feet.
mamaluj [8]

x(x-7)=8

x^2-7x-8=0

(x-8)(x+1)=0

so x=8 (and -1 but width can’t be negative)

So your answer is C. 8

8 0
3 years ago
Graph the line with the y intercept 8 and slope -6
Ksenya-84 [330]

Step-by-step explanation:

This is answer

rise/run -6/1

y intercept : 8

5 0
3 years ago
Read 2 more answers
Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs
Alinara [238K]

Answer: The answer is \textup{W}=70+30x.


Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

So, if 'g' denotes the weight of the table alone, then we have

\textup{g}+8\times 30=310\\\\\Rightarrow \textup{g}+240=310\\\\\Rightarrow \textup{g}=310-240\\\\\Rightarrow \textup{g}=70.

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

\textup{total weight of the barricade}=\textup{weight of the table alone}+30\times \textup{number of boxes}.

Thus, the required function is

\textup{W}=70+30x.



6 0
3 years ago
Read 2 more answers
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