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4 years ago

Select all of the following that are quadratic equations.

1 answer:

5 0

A quadratic equation is one in which the highest exponent of x is 2.
$7x^2+14x=0$ is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic. The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic. The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
x-5=9x+7 is NOT quadratic. The highest exponent of x is 1, not 2.
x²-x=3x+7 is quadratic; the highest exponent of x is 2.

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Can someone help me with this with step by step explanation plssss

liberstina [14]

Answer:

m = - 16/10

= - 1.6

Step-by-step explanation:

m2 + 8m

(the - 16 here is divided into 10 m's as you can see in m2 and 8m)

So, in order to find out what 1m is, you have to divide - 16 by 10, which gives you - 1.6

Good luck!

5 0

3 years ago

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. Then she continued to hike down

DedPeter [7]

The correct answer is:

The faster rate is when she hiked down 200 feet in 10 minutes.

Explanation:

The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.

For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.

For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.

She hiked downhill faster during the first part of the hike, at 20 feet per minute.

8 0

3 years ago

Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti

sladkih [1.3K]

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}

=−3x+9

=−3x−7

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}

−6x+4y

3x−2y

=−1

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}

3x−2y

−2(3x−2y)

−6x+4y

=−1

=−2(−1)

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

7 0

3 years ago

Please could someone help with this ? Thankyou

katovenus [111]

Answer:

1 2/7

Step-by-step explanation:

4.5:3 1/2

45/10 ÷ 7/2

45/10 x 2/7

90/70=9/7

=1 2/7

4 0

3 years ago

Read 2 more answers

A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−

rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

7 0

3 years ago

Read 2 more answers