A quadratic equation is written in four equivalent forms below. I. y = (x - 1)2 - 49 II. y = x2 - 2x - 48 III. y = (x + 6)(x - 8) IV. y = x(x - 2) - 48 Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?

Answers

Answer 1

Answer: The x-intercept also known as the root of a quadratic can be found by solving the equation with respect to x.

III is the most useful for finding the roots
you would simply equate each term to

So y= x + 6 AND y= x - 8
0= x + 6 0= x - 8
x= -6 x= 8

: . x-intercepts are x= -6 & x= 8

Related Questions

6 students shared 5 small pizzas equally
A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?
A for-profit institution that works with the general public to open and manage savings accounts is known as a(n) _____
In rectangle KLMN, KM = 10x+24 and KN = 64 find x
The measure of RST can be represented by the expression (6x + 12)°. What is mRST in degrees?78°84°120°156°

Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answers

Answer:

P = 62° Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now x + y = 90 and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check: 28 + 62 = 90

Final answer:

To find the measures of complementary angles P and Q, we set up a system of equations based on the problem's information, solve for one variable, then substitute that variable's value into the other equation. After solving, we find that the measure of angle P is 62°, and the measure of angle Q is 28°.

Explanation:

Let's denote the measure of angle Q as 'q'. Therefore, the measure of angle P can be expressed as '2q + 6'. Now, we can set up two equations based on the information given:

P + Q = 90°, or in terms of 'q', (2q + 6) + q = 90°
P = 2Q + 6°, or in terms of 'q', (2q + 6) = 2q + 6

Solving the first equation gives us 3q + 6 = 90. Subtract 6 from each side of the equation to get 3q = 84. Divide each side by 3 to solve for 'q', and we find that q = 28°. Substituting q = 28° into equation 2, we find that P = 2*28 + 6 = 62°. So, angle P is 62° and angle Q is 28°.

Learn more about Substitution Method here:

brainly.com/question/26094713

#SPJ3

What number can be written as 40 + 5

Answers

a number that can written as 40 + 5 will be 45

The number that can be written as 40 +5 = 45.So the number is 45.

Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?

Answers

You just divide 4 by 8, which equals 1/2

So 4/8 in simplest form 1/2/ of a bunch of grapes.

Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)

Answers

The answer is the letter D

Answer:

Step-by-step explanation:

D is also equivalent

What will be the next digit in the sentence 1, 1, 2, 3, 5, 8, 13, 21, 34?Please show me your way of thinking :)

Answers

$This\ is\ a\ Fibonacci\ sequence:\n1;\ 1;\ 2;\ 3;\ 5;\ 8;\ 13;\ 21;\ 34;...\n\na_1=1\na_2=1\na_3=a_1+a_2=1+1=2\na_4=a_2+a_3=1+2=3\na_5=a_3+a_4=2+3=5\na_6=a_4+a_5=3+5=8\na_7=a_5+a_6=5+8=13\na_8=a_6+a_7=8+13=21\na_9=a_7+a_8=13+21=34\na_(10)=a_8+a_9=21+34=55\na_(11)=a_9+a_(10)=34+55=89\na_(12)=a_(10)+a_(11)=55+89=144\n\vdots$

$a_n=a_(n-2)+a_(n-1)$ -The next number is the sum of the previous two.

It's Fibonacci :

so you have
1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Basically, to find out the number:

13=5+8
21=13+8
34=21+13
55=34+21

The next number is the sum of the previous two.

Johnson Canniver has a repair shop. He bought a used lawn mower for $35.00 from a customer. He spent $39.17 on parts to repair the mower. He also painted and polished the mower at a cost of $36.43. He was able to sell the refurbished lawn mower for $155.00. If it took 4.5 hours to do all the work, how much did he earn per hour to the nearest cent?

Answers

Answer:

He earned approximately $ 9.87 per hour.

Step-by-step explanation:

The given selling price of the lawn mower = $ 155.00

Since, His spending for the lawn = The cost price of the lawn + Spending in parts repair + Spending in polishing and paint

= $35.00 +$39.17 + $36.43

= $ 110.60

Thus, the profit he gain by selling = Selling price - His total spending

= 155.00 - 110.60

= $ 44.4

Since, the procedure took 4.5 hours,

His earning in 4.5 hours = $ 44.4

⇒ His earning in 1 hour = 9.86666666667 ≈ $ 9.87

Hence, he earned approximately $ 9.87 per hour.

Answer: The correct answer is $9.87. The person below forgot to round up their answer. Everything else they did is correct. Have a blessed day!

Other Questions

Fred can drink 8 3/4 sodas in 5 minutes at thus rate how many sodas can fred drink in 2mintues

This question has two parts. First, answer Part A. Then, answer Part B.Part A Fill in the blank question. REASONING The figure shows a straight portion of the course for a city marathon. The water station W is located at the midpoint of AB . a. What is the length of the course from point A to point W? Part B Select the correct choices to complete the sentence. b. Write a paragraph proof for your answer to part a.

What is the greatest common factor of 36x3 and 8x? A. 4x B. 4x3 C. 8x D. 8x3

PLEASE HELPCompare -3 and 9. Which of the following is trueA. -3 < 9 and -3 < 9B. -3 = 9 and -3 < 9C. -3 > 9 and -3 < 9D. -3 > 9 and -3 > 9