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Murljashka [212]
2 years ago
10

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?

Mathematics
1 answer:
Lady_Fox [76]2 years ago
3 0
Infinitely many solutions. Since your slope and Y axis values are the same on both sides no matter what you fill in for x your answer will be true.
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Solve for x please and quick please
alisha [4.7K]

Answer:

   x = √149 km

Step-by-step explanation:

Pythagorean theorem

x^2 = 10^2 + 7^2

x^2 = 100 + 49

x^2 = 149

   x = √149

4 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
2 years ago
Fleta has $100.00 in a savings account that earns 5% interest
Aleonysh [2.5K]
First year 100x0.05 = 5
Second year 100x0.05 = 5
Third year 100x0.05 = 5
Total interest 15$ for three year + the original amount mean 100
Total after three year
$115

Because the interest not compounded mean : where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding.
8 0
2 years ago
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle
Svetradugi [14.3K]

Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

3 0
1 year ago
Add 3/7 + 8/9 . Simplify the answer and write as a mixed number
Fudgin [204]
You will get both of the fractions over the same denominator, so it will be 27/63 and 56/63, then you will add the two numerators, so it will then come out to 83/63, and you will then simplify that by subtracting 63 from 83, and will get 1  20/63
5 0
3 years ago
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