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Lubov Fominskaja [6]
3 years ago
10

How many solutions does the system of equations below have? y = −6x + 9 y = 9/8x − 3

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:

1 solution

Step-by-step explanation:

A system of two equations can be classified as follows:

1) If the slopes are the same but the y-intercepts are different, the system has no solution.

<em>2) If the slopes are different, the system has one solution.</em>

3) If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions

Hope this helps you

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

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3 years ago
I NEED IT RIGHT NOW ILL GIVE 40 POINTS .....During a black friday sale, Sophia picks up the last big screen tv. The mom behind h
Doss [256]

Answer:

The mom would offer her 150% of 350

=> 150/100 * 350

=> 3/2 * 350

=> 1050/2

=> 525

Therefore, the mom would offer her 525 dollars

If my answer helped, please mark me as the brainliest!!!

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3 years ago
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Answer:

Step-by-step explanation:

term            | Phrase

inequality   | 63<8k

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NEED HELP ASAP!<br> find the volume of the cylinder
denpristay [2]

Answer:

V = 314.2 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h    r is the radius (5) and h is the height (4)

Using the pi button for pi

V = pi (5^2) (4)

V =314.1592654

Rounding to the nearest tenth

V = 314.2 ft^3

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3 years ago
Find the area of the shape.<br> 19 yd<br> 5 yd<br> 6 yd<br> 9 yd<br> The area is
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Answer:

84

Step-by-step explanation:

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