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KATRIN_1 [288]
3 years ago
13

How many solutions does the system of equations have? y=4x-7 and y=4x+2

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0

Answer:

no solution

Step-by-step explanation:

4x-7=4x+2

4x-4x=2+7

0=9

that's not true

thus no solution

Alex17521 [72]3 years ago
6 0

Answer:

no solution

Step-by-step explanation:

4x-7=4x+2

-4x +7 -4x +7

0 = 9

0 doesn't equal 9, so there is no solution.

You might be interested in
Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no tw
Mama L [17]

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

5 0
3 years ago
The following graph shows a proportional relationship.
elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

8 0
2 years ago
The Patronete Winery's tastiest wine must have a 12% alcohol content. How many gallons of wine with a 9% alcohol content must be
erik [133]

Answer: 3000 gallon

Step-by-step explanation:

Here, The total quantity of 15% alcohol content = 3000 gallon

And, in which quantity of alcohol = 15% of 3000 gallon = 450 gallon.

Let the total quantity of 9% alcohol content  = x

In which quantity of alcohol = 9% of x gallon= 9x/100 gallon

Now, according to the question,  The wine with a 9% alcohol content will be mixed with 3,000 gallons of wine with a 15% alcohol content in order to achieve the desired 12% alcohol content.

Thus, the total quantity of mixture of 12% alcohol content = The total quantity of 15% alcohol content + total quantity of 9% alcohol content

= 3000 + x

In which quantity of alcohol = 12 % of ( 3000+x) = (360 + 12x/100) gallon ---(1)

But, the quantity of alcohol in 12 % of alcohol content = quantity of alcohol in 15% of alcohol content +  quantity of alcohol in 9% of alcohol content

The quantity of alcohol in 12 % of alcohol content = (450 + 9x/100) gallon ---(2)

On equating equation (1) and (2)

We get, 360 + 12x/100 = 450 + 9x/100

⇒ 3x/100 = 90

⇒ x = 3000

Therefore, The total quantity of the mixture of 9% alcohol content = 3000


6 0
3 years ago
Solve for all values of c in simplest form.<br> |C – 21 |= 12
Rina8888 [55]

Answer:

33, 9

Step-by-step explanation:

I33-21I=12

I9-21I=

I-12I=12

Every SUM of an absolute value will always be positive!!

5 0
2 years ago
What is the slope of the line passing through the points (6,1) and (-3,-4)?​
miskamm [114]

Answer:

5/9

Step-by-step explanation:

y2-y1/x2-x1 = 5/9

5 0
3 years ago
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