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Harman [31]
3 years ago
10

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe

r is 50.
Let x be the smaller number and y be the larger number.

Create a system and graph it to find the solution.

What are the two numbers?

x =
and y =
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0
3y = 5x+30 , y+5x = 50

using elimination method ...

3y-5x=30
+ y+5x=50
——————
4y = 80
y= 20

so using one of the original equations..

20 + 5x = 50
5x = 30
x =6

x = 6
y = 20
marissa [1.9K]3 years ago
8 0

Answer:

x=6 and y=20 just took a test

Step-by-step explanation:

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If f(x)=3x+1 and g(x)=x^2-6 find (f-g)(x)
8090 [49]
Hi there!

• f(x) = 3x + 1
• g(x) = x² - 6

Then,
According to th' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.

~ Hope it helps!
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3 years ago
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Two sides of an isosceles triangle have lengths of 4 and 8. What is the length of the third side?
Gnoma [55]

Answer:

8

Step-by-step explanation:

Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4

That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.

So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).

8 and 8 certainly exceed 4.

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3 years ago
Bryan likes to do math problems everyday for practice. He can complete 3 problems in 9 minutes. At that rate, how many problems
mixer [17]

Answer:

2 problems in 6 minutes

Step-by-step explanation:

if 1 problem is three minutes 2 should be six

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A shipment to a warehouse consists of 3,750 MP3 players. The manager chooses a random sample of 50 MP3 players and finds 5 that
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150 MP3 Players Is The Answer
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3 years ago
Prove the diagonals of the square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0) are perpendicular bisectors of each other.
Aneli [31]

Answer: The slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).

Explanation:

The given vertices are P (0,4), Q (4,4), R (0,0) and S (4,0).

If a line passing through the point (x_1,y_1) and (x_2,y_2), then the slope of the line is,

m=\frac{y_2-y_1}{x_2-x_1}

The slope of diagonal PS is,

m_1=\frac{0-4}{4-0}= \frac{-4}{4} =-1

The slope of diagonal QR is,

m_2=\frac{0-4}{0-4}= \frac{-4}{-4} =1

The slope of both diagonals are 1 and -1, therefore the product of their slopes is -1. So, the diagonals are perpendicular to each other.

The formula for midpoint is,

midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

The midpoint of PS is,

\text{midpoint of PS}=(\frac{0+4}{2} ,\frac{4+0}{2})=(2,2)

The midpoint of QR is,

\text{midpoint of QR}=(\frac{4+0}{2} ,\frac{4+0}{2})=(2,2)

The midpoint of both diagonals are same, therefore diagonals are bisecting each other.

Therefore, the slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).

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3 years ago
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