What are the verter and x-intercepts of the graph of the function given below?
y=x2-2x-35

Answers

Answer 1

For x intercepts, plug in 0 for y.

               0 = (x^2) - 2x - 35

*factoring* = (x-7)(x+5)

x intercepts = 7,-5

As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex

so,

x = -b/2a = -(-2)/2 = 1

then just find the y value by plugging it back in to the equation.

y = ((1)^2) - 2(1) - 35

= -36

so, vertex is at (1,-36)


Related Questions

a Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared​

Answers

Answer:

201, 500ft²

Step-by-step explanation:

The formula for calculating area in this case is;

A = w × l

This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).

(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)

So the equation you need to do is;

3,100 × 65 = 201, 500.

Add on the units, and there's your answer;

201, 600ft²

Hope this helped!

Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.

Answers

Answer:

A. Garden plants grow better in wet soil than in dry soil.

Step-by-step explanation:

A testable hypothesis is theory that can actually be proven by facts rather than opinions

What is the  property 7x<42

Answers

Answer: division

x = 6

Step-by-step explanation:

Simplifying

7x = 42

Solving

7x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '7'.

x = 6

Simplifying

x = 6

Answer:6

Step-by-step explanation:

Convert the fraction 19/20 into a decimal

Answers

Step-by-step explanation:

19/20 in decimal form is 0.95

Answer:

0.95

Step-by-step explanation:

19 ÷ 20

Divide.

= 0.95

Which step is wrong??

Answers

Answer:

step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±

Step-by-step explanation:

i hope this will help you :)

the volume of a cube depends on the length of its sides. this can be written in function notation as v(s). What is the best interpritation of v(3) = 27? A. A cube with the volume of 3 cubic feet has side lengths of 27 feet. B. 3 sides of the cube have a total length of 27 feet. C. 3 of these cubes will have a total volume of 27 cubic feet. D. A cube with side lengths of 3 feet has a volume of 27 cubic feet.

Answers

Answer:

D

Step-by-step explanation:

V(3)=27 means all sides equal to 3

volum e of a cube=(a)^3=(3)^3=27


Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?

Answers

Do not bring the 10 in first. 8x15 and 4x3.

HURRY I NEED HELP ASAP 30 POINTS Beginning at the origin, how far do you travel along the x-axis when plotting the point below? (15,5)

Answers

Answer:

You travel 15 units of distance along the x-axis

Step-by-step explanation:

You want the distance from (0, 0) to (15, 5) in the x-axis. It is 15. If the question were the distance between the two points, you may use the distance formula or pythagorean theorem.

You will go 15 points down on the y axis

If your are confused just start from 0,0 and count 15 down

What is the equation of the function that is graphed as line a?

Answers

Answer:

C is yo answer of y=3x-1

Step-by-step explanation:

the y intercept is -1 and yo slope is 3. you could see yo line goin up by three and to tha right by 1

Hey guys help me find x and measure of angle pleasee

Answers

Answer:

95 degrees

Step-by-step explanation:

Since the sum of the angles in a quadrilateral must add up to 360 degrees:

95+85+Z+85=360

Z+265=360

Z=95 degrees

Hope this helps!

Answer:

Z = 95°

Step-by-step explanation:

if W = Y => X = Z => Z = 95°

can someone help me find all the angels ):

Answers

Answer:

I know you don't need help anymore so ya

What fraction of the students are girls give your answer in its simplest form

Answers

Answer:

45% of students are female or 15/32

Step-by-step explanation:

We find out their is 72 Boys and 60 Girls

We add both together to get 132 Students

Then we divide to get our number/fraction

60/132 = 15/32 or 45%

MARK AS BRAINLIEST

What is the result of subtracting the second equation from the first?

-4x - 2y = -2

x - 2y = 9

Answers

Answer:

-5x + 0y = -11

The y terms are eliminated

Step-by-step explanation:

- 4x – 2y = -2

X - 2y = 9

We want to subtract the second equation from the first

Distribute a minus sign to all the terms in the second equation

- 4x – 2y = -2  

X - 2y = 9

= (-5x + 0y = -11)

The ratio of girls to boys at a local elementary school is 3:4.
a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?

Answers

Answer:

a. 60 boys

b. 228 total students

Step-by-step explanation:

a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.

3 * 15 = 45

4 * 15 = 60

45:60 = 3:4

——————————

b. First we need to find out how many boys there are.

95 / 5 = 19

19 * 7 = 133

So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.

133 + 95 = 228

In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β

Answers

Answer:

Pretty easy (if you know geometry)!

Step-by-step explanation:

First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).

Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.

Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:

[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]

So, solving:

[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]

So there you go! Hope this helps!

which ordered pair is a solution of the equation -3x-7y=37

Answers

Answer:

x = 4

y = -7

Step-by-step explanation:

-3(4)-7(-7)=37

-12- -49 =37

-12+49 =37

Answer:

(-3,-4)

Step-by-step explanation:

screenshot below for proof :)

the ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratios between their edges. True or False?

Answers

Answer:

False

Step-by-step explanation:

Did the quiz

Answer:

false

Step-by-step explanation:

The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.

Answers

Answer:

16m and 12m

Step-by-step explanation:

2x + 2(x - 4) = 56

4x = 64

x = 16

Sides are 16 m and 12 m

select the reason why these triangles are similar. if they are not select not similar

Answers

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

4/2= 6/3

So the 2 sides are congruent and also share same angle between.

B. SAS is the similarity reason

Answer:

B no is correct answer.

4c- 3 = x+15 pls help!!

Answers

Answer:

x = 4c - 18

Step-by-step explanation:

=> 4c-3 = x+ 15

Subtracting 15 to both sides

=> x = 4c-3-15

=> x = 4c - 18

Answer:

x=6

Step-by-step explanation:

4x- 3 = x+15

-1x       -1x

3x- 3=15

+3       +3

3x=18

÷3  ÷3

x=6

Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer:

150 steps

Step-by-step explanation:

let the number of steps=x

time taken to go up=1/3×x=x/3 s

time taken to go down =1/2×x=x/2 s

now

[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]

Pls I need help with this question..Thanks

Answers

Answer:

60cm

Step-by-step explanation:

1:50 means every foot is 50 feet.

So I would think the ship hes making will be 2 feet long.

Every foot is equal to 0.3m which is equal to 30cm

Every foot is equal to 30cm

2 x 30cm = 60cm

30m + 45m = 150 pls help!

Answers

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m = 150

m = 150/75

m =2

Answer:

m = 2

Step-by-step explanation:

30m + 45m = 150

75m =150

÷75    ÷75

m = 2

IMPORTANT! Please do....needed badly.

Answers

Answer: line r and line s

Step-by-step explanation:

m angle 3=76

So m angle 4=180-76=114

m angle 4=m angle 8=114

line r and line s r parallel

Driving on the highway, you can safely drive 65 miles per hour. Which of the following functions could be used to find how far you can drive in 'h' hours?

a. D = 65h

b. D = 65 + h

c. D = 65/h

d. D = h/65

Answers

Answer:

The answer is A, D=65h

Step-by-step explanation:

This is because D is representing how far you drove, so you can only drive 65 mph. And that will be 65*h=D. Hope this helps!

The solution is Option A.

The distance traveled is calculated by Distance D = 65h , where h is the number of hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance traveled be represented as D

Now , the value of D will be

Let the speed be represented as S = 65 miles per hour

Let the time required to travel a distance of D be represented as = h

where h is the number of hours

So , the distance D is calculated from the formula

Speed = Distance traveled / Time required

Substituting the values in the equation , we get

65 = D / h

Multiply by h on both sides of the equation , we get

D = 65h

Therefore , the value of D is 65h

Hence , the equation will be D = 65h where h is the number of hours and D is the total distance

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ5

Help me please this is an assignment due today please help me? 20 – 23 ÷ 4 • 2 + 2

Answers

Answer:

10.5

Step-by-step explanation:

20 – 23 ÷ 4 • 2 + 2

    (3)      (1)  (2) (4)

(1) 23: 4 = 5.75

(2) 5.75*2 = 11.5

(3) 20 - 11.5 = 8.5

(4) 8.5 + 2 = 10.5

Step-by-step explanation:

20-(23/4)×2+2

=20-(5.75×2)+2

=20-11.5+2

=8.5+2

=10.5

In the circle below, O is the center and mJL = 55°. What is the measure of the central angle JOI?​

Answers

Answer: 55 degrees

By definition of how the term "central angle" is defined, it is simply equal to the arc measure it cuts off. The central angle JOI subtends or cuts off the minor arc JI which is 55 degrees, so the central angle is also this measure as well.

Put another way, minor arc JI is 55 degrees of a full 360 degree rotation, and so is the angle JOI.

Please help I need it

Answers

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

so

just consider the lengh:

[tex] \frac{1}{3} [/tex]

or the width :

[tex] \frac{3}{9} [/tex]

or the area:

[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]

Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths

Answers

Answer:

13/4 * 5/2

Step-by-step explanation:

In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.

Shayma pays £240 per week in rent. Her Landlord decides to decrease it by 2.5%. How much rent does she pay now?

Answers

Answer:

£ 234

solution,

Shayma pays £240 per week in rent.

Landlord decreases rent by 2.5%

as 2.5% =2.5/100=0.025

So, decrease in rent;

[tex]240 \times 0.025 \\ = 6[/tex]

Current rent:

240-6£ 234

Hope this helps...

Good luck on your assignment..

Other Questions
Si busco informacin acerca de los lugares de inters en Buenos Aires, solicito la ayuda de: A) un agente de viajes B) un director de mercadotecnia C) un contador D) un gerente Which attributes are true about the five pillars of the Lets Move! program? Check all that apply. An increase in household saving causes consumption to a. fall and aggregate demand to increase. b. rise and aggregate demand to increase. c. rise and aggregate demand to decrease. d. fall and aggregate demand to decrease. In a certain online dating service, participants are given a 4-statement survey to determine their compatibility with other participants. Based on the questionnaire, each participant is notied if they are compatible with another participant. Each question is multiple choice with the possible responses of "Agree" or "Disagree," and these are assigned the numbers 1 or 1, respectively. Participants responses to the survey are encoded as a vector in R4, where coordinates correspond to their answers to each question. Here are the questions: Identify one simple machine used at your home and explain how it makes your work easier Which statement best describes a passive solar energy system? Find The Area Of The Shape Shown Below When converting a improper fraction into a mixed number how do you find the denominator for the mixed number? Match the chemical reaction with its correct type.1. Nat + Cl NaCldecomposition reaction2. CCIA C + 2Cl2exchange reaction3. HCl- + NaOH NaCl + H2Oreversible reaction4. ADP + P + E = ATPsynthesis reaction If the unicorn seat on a merrygoround is 5 feet from the center, and the merrygoround completes a full rotation in 6 seconds, how many feet does the unicorn travel in one second A boat develops a leak and, after its passengers are rescued, eventually sinks to the bottom of a lake. When the boat is at the bottom, what is the force of the lake bottom on the boat? The author's purpose isthe primary reason the author wrote the text.the feelings the author has about the text.the thoughts the author has about the text.the conclusions the author draws in the text. HELP WITH THESE QUESTIONS!! 5. Sandor fills a bucket with water and whirls it in a vertical circle to demonstrate that thewater will not spill from the bucket at the top of the loop. If the length of the rope from hishand to the centre of the bucket is 1.24 m, what is the minimum tension in the rope (at thetop of the swing)? How slow can he swing the bucket? Explain your answer. A car company is performing brake tests on one of its cars. The car reaches a speed of 160 km/h and then hits the brakes to slow down at a rate of 11.0 m/s2 . A) How long does it take for the car to stop b) How far does the car travel when braking? A rate of 11.0 m/s2 . Which diseases can be prevented or treated with healthy lifestyle choices? Check all that apply. 1. sickle cell disease 2. Huntingtons disease 3. cardiovascular disease 4. osteoporosis 5. type 2 diabetes 6. celiac disease A uniform disk, a uniform hoop, and a uniform solid sphere are released at the same time at the top of an inclined ramp. They all roll without slipping. In what order do they reach the bottom of the ramp Factor 10x2 17x + 3. which statement is true about the value of /-5/ Give difference between thermoplastics and thermosetting plastic ?