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4 years ago

Ten less than two times a number

Mathematics

1 answer:

qwelly [4]4 years ago

8 0

Answer:

Step-by-step explanation:

If x is the number.

Then twice the number is 2x

Then 10 less than (twice the number) is 2x−10

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What is the solution set of this system of equations?

Maksim231197 [3]

Answer:

No real solutions.

Step-by-step explanation:

$y=x^2-3x-4$

$x=y+8$

I'm going to subtract the second expression for y and plug it into the first equation.

So solving x=y+8 for y by subtracting 8 on both sides gives us y=x-8.

I'm going to insert this for the first y like so:

$x-8=x^2-3x-4$

Now I'm going to move everything to one side.

I'm going to subtract x on both sides and add 8 on both sides.

$0=x^2-3x-x-4+8$

Simplifying:

$0=x^2-3x+4$

Now our job since the coefficient of x^2 is 1 is to find two numbers that multiply to be 4 and at the same time add up to be -3. I can't think of any such numbers.

Let's check the discriminant.

Compare $x^2-3x+4$ to $ax^2+bx+c$ .

So $a=1,b=-3,c=4$ .

The discriminant is $b^2-4ac$ .

So plugging in our numbers we get $(-3)^2-4(1)(4)$ .

Time to simplify:

$(-3)^2-4(1)(4)$

$9-16$

$-7$

So since the discriminant is negative, then the solutions will not be real.

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Write the equation of a line with a slope of −1 and a y-intercept of −6. (2 points)

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This would be y=-x-6. The slope is the number before x and the y intercept is the number coming after. This shows that it must be y=-1x-6

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The additive inverse of 5/9 is

adelina 88 [10]

I think that it’s -5 (:

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Step-by-step explanation:

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Javier earned the following scores on his first five tests: 77, 89, 84, 80, and 85. What score did he earn on his last test to h

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