Find the roots for y = (2x-3)(x+5) (The x values)

Answers

Answer 1

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.


Related Questions

15 POINTS!

Please help

Thank you

Answers

Answer: 1. 2 x^3 - 13 x + 15

              2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x

Step-by-step explanation:

Can someone Help me please

Answers

Answer:

47

Step-by-step explanation:

using exterior angle property,

23+5x-1=9x+2

→20=9x-5x

→20=4x→ x=5

angle PRS= 9X +2 = 9*5 +2= 47

Which of the following equations is true for ATUX? I u A X t e tan X = O cos X = O sin X =23 O Sin X =​

Answers

Answer:

second is a answer cos X= x/i

Answer:

Step-by-step explanation:

sin X = x / u

NOT THE PREVIOUS ANSWER

please help me with these two problems thank you!!​

Answers

Answer:

1st question: y=1/3x-1

2nd question: y=-2/3x+9

Step-by-step explanation:

Y=mx+b form is what you are using

when a line in parallel to a line they have the same slop wich is m

when a line in perpendicular they have the opposite reciprocal

Examples: 2/5 opposite reciprocal would be -5/2

Six students share 8 granola bars equally. How many granola bars does each student get?

Answers

Answer:

1 whole one and a third of one.

Step-by-step explanation:

1 1/3 of a granola bar

Answer: 1.33333333333 or 1.3 as a repeating decimal

Just divide 8 ÷ 6

Deshawn earned $48 raking leaves last October. He decided to save 38 of his money. How much money did Deshawn save?

Answers

Answer:  I don't know i'm taking a benchmark about that question an that pop up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.

Hope this helps

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?

Answers

Answer:  

The Original Number is 36 :)

explanation:

Round 344,501 to the nearest ten thousand

Answers

Answer:

340,000

Step-by-step explanation:

340e3

What is m Help please!

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

  ∠R +∠W +∠T = 180°

  85° +55° +∠T = 180°

  ∠T = 180° -140°

  ∠T = 40°

Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures

Answers

Answer:

C. size

Step-by-step explanation:

A dilation does not change the shape of a figure, but it can change the size.

HELP NEEDED ASAP!!!!!

Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)

Answers

Answer: (-3, 4)

Step-by-step explanation:

The point at which both lines intersect is (-3, 4)

And since they intersect at ONE point, it just has one solution.

Hope I helped!

HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!! ​

Answers

Answer: I think its b

Step-by-step explanation:

A table of equivalent ratios is given.

What is the missing number in the table?

Answers

Answer:

It's 30

..................

they all are equal to 1:3

so 90/3=30

answer is 30 !

y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.

A super clearance sale, bathing suits were marked 85% off. What is the sale price of a bathing suit that was originally priced $60 ?

Answers

Answer: 9$
Explanation: 15% is how much a person will pay and 15% of 60 is 9$

Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
swim and run altogether?
28 miles
28 miles
28 miles
29 miles

Answers

Step-by-step explanation:

bdhdhjndnfdndnnskdkdkskdkdkd

3x^3-21x^2-54x multiplicity

Answers

Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

If the diameter of a circle is 80m, then what is the radius of the circle

Answers

Answer:

40m

Step-by-step explanation:

Radius is half of diameter

Help pls. Rauls classmates evaluated Raul’s conjecture as to whether it was true or false and gave a reason. Which response is correct?

Answers

Num 3 is the correct answer im pretty sure. Sorry if im wrong

Find the distance between points P(6, 2) and Q(5, 9) to the nearest tenth.

Answers

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance formula

[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]        ------------ (1)

Here

[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]

Substituting values in equation (1)

[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]

[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]

[tex]d = \sqrt { 50 }[/tex]

[tex]d=7.07[/tex]

the nearest tenth is 10

1.37x = 12.741

A.14.111
B.17.45517
C.9.3
D.11.371

Answers

hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517

The correct answer is C

please help me figure out this outfit

Answers

It would be 25% left

Ralph has 25% left of his Gatorade.

3 ÷ 12 = 0.25 -->  25%

What is the answer in a whole number or decimal

Answers

Answer:

i = 8

Step-by-step explanation:

What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?

Answers

Bdbdhd Snsnsn d d d did dbdbdbd

A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm

Answers

Answer:

4000 cm^3

Step-by-step explanation:

Note that no image was attached for reference purposes

Step one:

We are given that the original length and width of the cube is 20cm

if the cut part is 10cm

hence the dimension of the cut part is

lenght = 20cm

Width= 20cm

Hieght= 10cm

Step two:

the volume of the cut part will be

Volume= 20*20*10

Volume= 4000 cm^3

The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank

Answers

Answer:

5/6 = 1/12x

Step-by-step explanation:

x represents the amount of times you can can drive to or from work with the gas in the tank

5/6 = 1/12x

- Multiply both sides of equation by 12

10 = x

Simplify the following expression:
9^−53 ⋅ 9^37
Please also explain your answer. Thanks!

Answers

Answer:

Simplify the expression.

Exact Form:

1 /1853020188851840

Decimal Form:

5.39659527  x 10  −  16

Step-by-step explanation:

Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other

Answers

Answer:

[tex]AB=2\sqrt{ab}[/tex]

Step-by-step explanation:

From figure,

[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]

In triangle [tex]OO'D[/tex]

  [tex](OO')^2=(OD)^2+(O' D)^2[/tex]

[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]

Hence, [tex]AB=2\sqrt{ab}[/tex]

Find the surface area of the prism (no unit)

Answers

Answer:

1464

Step-by-step explanation:

16*22*2=704

10*16*2=320

10*22*2=440

704+320+440 = 1464

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

*lilybaker49's work was used - credit goes to her

Answer: 1464cm
Explanation: 10x22=220x2= 440cm
10x16=160x2=320cm
16x22=352x2=704cm
440+320+704=1464cm

*
6. Determine the Rate of Change in the graph below.

Answers

Answer: slope is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change

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