A quadratic equation set equal to zero that has a double root. Explain what this means and describe the quadratic.

Answers

Answer 1

Answer:

Double roots of a quadratic equation shows that they are same root, and the graph of the quadratic function merely touches the input axis.

What does a double root mean for a quadratic equation?

Let there is a quadratic function as: $y = ax^2 + bx + c$

The input axis is 'x-axis' and the output axis is 'y-axis'

When the output is 0, we get the graph of that function touching the x-axis since the place where y is 0 is only x-axis.

Thus, putting $ax^2 + bx +c = 0$ gives us the values of x for which the graph of the function $y = ax^2 + bx + c$ intersects the x-axis.

These points of interesection are called roots of the quadratic equation.

If the graph only touches the input axis (here x-axis), then both the roots are lying on same point and therefore are of equal measurement.

This is the condition when we call that the considered quadratic equation has double roots.

Let we consider and example of a quadraticfunction which will have double root.

Since (x-3)(x-3) = 0 will give x= 3 two times, that means the roots of the equation (x-3)(x-3) are same, and are equal to 3.

So, $y = (x-3)(x-3) = x^2 -6x +9$ is one such quadraticfunction having double roots, as shown in the image attached below.

Learn more about finding the nature of the roots of a quadratic equation here:

brainly.com/question/24730520

Answer 2

Answer:

Step-by-step explanation: When the left side factors into two linear equations with the same solution, the quadratic equation is said to have a repeated solution. We also call this solution a root of multiplicity 2, or a double root.

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Xavier is x years old and Yvonne is y years old. Yvonne is 7 years older than Xavier. Four times Yvonne’s age is equal to 200. (a) Write an equation that could be used to solve for Yvonne’s age, y. (b) How old is Yvonne? Show your work and don’t forget the unit. (c) How old is Xavier? Show your work and don’t forget the unit

Answers

x+7= Yvonne's age.

a. 4(x+7)=200

b. 4(x+7)=200
4x+28=200
4x=172
x=43
Yvonne is 43 years old.

c. 43-7=Xavier's age.
36
Xavier is 36 years old.

You would have to write an equation. I would use the equation 4y=200. Thats your answer for (a). Then reverse the equation and solve to figure out the answer to (b). What we do to one side we do to other, right? So we would divide each side by 4. That leaves us with y=50. There's your answer to (b). Now to find Xavier's age we would simply do Yvonne's age minus 7. 50-7=43. There's your answer to (c).
A) 4y=200
B) 50 years old
C) 43 years old
Hope this helps!!!!

If A = (10.4) and B = (2, 19), what is the length of AB?A. 23 units
B. 12 units
c. 17 units
D. 15 units

Answers

Answer:

C) 17 Units

Step-by-step explanation:

Josh buys cucumbers that cost $0.62 per pound.He pays $2.79 for the cucumbers.Part A
Josh estimates he bought 5 pounds of cucumbers.Is Josh's estimate reasonable? Explain.
Part B
How many pounds of cucumbers did Josh actually buy? Show your work.

Answers

Please refer to the other post you saw.

Josh's estimate IS reasonable because when you have a number 5 or above after the decimal, you round up. Although it's reasonable to round up to 5 pounds, the actual amount is 4.5 pounds, or four and a half.

Four more than twice a number x is 12. Write an equation that represents this situation. Determine the number x

Answers

Answer:

2x+4=12

x=4

Step-by-step explanation:

Let's look at the way that this question is written in order to write the equation

"Four more than" this means that we need to add 4 to the next thing that is listed.

"Twice a number x" means 2x

Combining the last two gives us 2x+4

"Is 12" means =12

Combining everything gives us

2x+4=12

Now we can solve for x

$2x+4=12\n\n2x=8\n\nx=4$

Which is the best estimate for the quotient of 686.13 ÷ 9.231?A.
7,000

B.
700

C.
70

D.
7

Answers

$686.13 \approx 700 \n9.231 \approx 10 \n \n686.13 / 9.231 \approx 700 / 10 = \boxed{70} \Leftarrow \hbox{answer C}$

Answer:

C.70 hope this helped

Step-by-step explanation:

What are prime numbers

Answers

A prime number is a number that has no factors except ' 1 ' and itself.

That means there are no other numbers that can divide into it evenly.

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