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3 years ago

Can somebody help me? ;)

Mathematics

1 answer:

Korolek [52]3 years ago

4 0

Answer:

No!

Step-by-step explanation:

Hope that helped

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How many solutions does the system have? <br> y=−2x+1 <br> y=−2x^2+1

balu736 [363]

Answer:

The system has two distinct solutions.

Step-by-step explanation:

The given system of equations are:

$y=-2x+1--(1)$

and

$y=-2x^2+1---(2)$

In order to determine the number of solutions the two equations have, we need to equate the two equations to obtain,

$-2x^2+1=-2x+1$

We now group all terms on the left hand side and equate everything to zero.

$-2x^2+2x=0$

$x^2-x=0$

This is now a quadratic equation in $x^2$ with $a=1,b=-1,c=0$ .

At this stage we check the number of solutions using the discriminant.

$D=b^2-4ac$

$\Rightarrow D=(-1)^2-4(1)(0)=1$

Since the discriminant is greater than zero, the equation will have two distinct roots.

Therefore the system of equations has exactly two distinct solutions.

If you wish to see these solutions, you can continue as follows;

We factor $x$ to obtain,

$x(x-1)=0$

$\Rightarrow x=0,x-1=0$

$\Rightarrow x=0,x=1$

When $x=0,y=-2(0)+1$

Then we have,

$x=0,y=1$

When $x=1,y=-2(1)+1$

Then we have,

$x=0,y=-1$

See graph

8 0

3 years ago

2^4 - 2^3 + (2^2) simplify

Wittaler [7]

The answer is 12

Hoped I help :)

6 0

3 years ago

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To solve the inequality -1/4x>-2, Chrissy thinks she should add 1/4 to both sides. What is wrong with her first step?

Darina [25.2K]

Answer D because you want to get the x by itself and in order to do this she needs to multiply by -4 so that one side only has x.

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3 years ago

Blair is ordering 150 t-shirt to sell at the school carnival

Hatshy [7]

Then he should sell all of them for 3 dollars and he'll get $450 dollars from all 150 t-shirts

6 0

3 years ago

6=m/8 what does m equal

sp2606 [1]

Answer:

m = 48

Step-by-step explanation:

6=m/8

Multiply each side by 8

6*8 = m/8 *8

48 = m

8 0

3 years ago

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