Please help me solve this system of equations

Answers

Answer 1

Answer: The answer to the question

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on a 15 hour trip, Rob drove 35% of the time and Mark drove the reminder of the time. how many hours did Mark dive?

Answers

Rob drove 5.25 hours so Mark drove 9.75 hours

15*35%= 5.25
15-9.25=9.75

Determine how many points the parabola has in common with the x-axis and whether it's vertex lies above, on, or below the x-axis.

Answers

Points "in common with the x-axis" are also known as the roots of the quadratic equation $x^2-12x+12=0$ . You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.

The root formula for a generic quadratic $ax^2+bx+c$ is as follows:

$x_(1,2)=(-b\pm√(b^2-4ac))/(2a)$

The expression $b^2-4ac$ under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).

So, let's take a look:

$b^2-4ac= (-12)^2-4\cdot 1\cdot12=96$

This means the parabola will intercept the x-axis at 2 points, two real roots.

Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).

Need help asap pls!!

Answers

Answer:

6&8

8&12

3&8

Step-by-step explanation:

a least common multiple is the smallest positive integer that is divisible by both numbers.

Answer:

1. 6 and 8
2. 8 and 12
3. 3 and 8

All of these numbers above that I have mentioned are the least common multiple (LCM) of 24.

Please mark me the brainliest.

What is 16 8ths in simplest form

Answers

16/8=2/1=2

so just factor out the ones so for example

4/8=1/2 because 1/2 times 4/4=4/8 and 1/2 times 4/4=1/2 times 1=1/2

so 16/8=
factor
16=2 times 2 times 2 times 2
8= 2 times 2 times 2
16/8=2/1 times 2/2 times 2/2 times 2/2=2/1 times 1 times 1 times 1=2/1=2

16/8 in simplest form is 2/1 or 2 because you have to divide it by 8/8 or divide 16 and 8 by 8

Round 21.98 to the nearest hundredth

Answers

21.98 rounded to the nearest hundredth is 22

It's 21.98, the hundredths place is where the 8 sits.

The base of a triangle is 2 more than twice the height of the triangle. Find the measure of the base and the height if the area is 20 ft^2 (the height is 4 and the base is 10, show a process so I can see how you got there

Answers

B = 2 + 2H
A = 20 ft^2
H = H

Since the Area of a Triangle is Base * Height then the formula should be:
A = BH
20 = H(2+2H)
20 = 2H^2 + 2H
0 = 2H^2 + 2H - 20

Find the zeros of the quadratic equation through substituting the values of a,b, and c. You will get the zeros of x = 2.7 and -3.7. The only thing that would make sense is you use the x=2.7 because there are no negative heights.

Since b = 2h+2
b= 2(2.7) + 2
b= 5.4 + 2
b=7.4

I don't know where you got 4 and 10, but what I got is different.

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