3 years ago

How many solutions does this system of equations have?

Mathematics

1 answer:

JulsSmile [24]3 years ago

3 0

Answer:

C. exactly one

Step-by-step explanation:

Hope this is helpful! Happy Halloween!

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How many real does this 2x^2-5x+3=0 equation have

Pavlova-9 [17]

2 $x^{2}$ -5x+3=0

x= $\frac{-(-5)+ \sqrt{(-5) ^{2}-4*2*3 } }{2*2}$

x=3/2;x=1

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3 years ago

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$

So, we have the follwing system:

$\begin{cases} x-y=15\\2x-3y = -12\end{cases}$

From the first equation, we can derive $x = y+15$ , and substitute this expression in the second equation to get

$2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42$

Substitute this value for y in the first equation to get

$x-42=15 \iff x=15+42 \iff x = 57$

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3 years ago

1.Shelly lives 500 miles away.Paul drove 65 mph for 4 hours.How many more miles will it take for him to arrive at Shelly’s house

Sladkaya [172]

1.240 miles
65*4=260
500-260

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3 years ago

Michael is using a number line to evaluate the expression –8 – 3.

djverab [1.8K]

Answer:

Micheal could rewrite the equation as negative 8 + negative 3 and move 3 spaces to the left.

Step-by-step explanation:

-8 - 3 = -8 + (-3)

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3 years ago

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DerKrebs [107]

The answer would have to be 30%

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3 years ago

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