What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x-35
A. Vertex: (1, -36); intercepts: x = 7,-5
B. Vertex: (0,0); intercepts: x= -4,-5
C. Vertex: (7,5); intercepts: x = 7,8
D. Vertex: (1, -25); intercepts: x = 6,-4

Answers

Answer 1

Answer:the answer is A

Step-by-step explanation:

Answer 2

The vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The x-coordinate of the vertex can be found using the formula x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = -2, so x = -(-2)/(2×1) = 1.

Lets find the y-coordinate of the vertex.

To find the y-coordinate of the vertex, we substitute the x-coordinate we found in step 1 into the equation and evaluate.

y = (1)² - 2(1) - 35 = -36

So the vertex is at (1, -36).

Now find the x-intercepts.

To find the x-intercepts, we set y = 0 and solve for x.

0 = x² - 2x - 35

This equation can be factored as (x - 7)(x + 5) = 0.

So the x-intercepts are at x = 7 and x = -5.

Therefore,  the vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

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Related Questions

What is the image of (-3,4)

Answers

Answer:

(2, 3)

Step-by-step explanation:

Since the problem says to add 5 to x, and subtract from y, you can do x = -3 + 5 and y = 4 - 1 to get (2, 3)

A translation maps P(2, 3) onto Q(-2, 6). Find the coordinates of the image R(5, 10) under the same translation.

Answers

Answer:8,4

Step-by-step explanation:

Just put it it’s right

Help me please!!!!!
ASAP!!!!

Answers

Answer:

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.

Step-by-step explanation:

Answer;

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers, To solve an equation means to find all numbers

that make the equation true. The numbers are

called solutions or roots of the equation. A

number that is a solution of an equation is said to

satisfy the equation, and the solutions of an

equation make up its solution set. Equations

with the same solution set are equivalent

equations.

HELP ME PLEASEEE

-1/3(y-3)=11


Answers

Answer:

y=-4

Step-by-step explanation:

Equation: -1/3(y-3)=11

First multiply -1/3 by y and by -3 because they are in parenthesis:

-1/3*y=-1/3y

-1/3*3=1

-1/3y-1=11

Next add 1 on both sides:

-1/3y-1+1=11+1

-1/3y=12

Now divide -1/3 on both sides:

-1/3y÷-1/3=12÷-1/3

y=-4

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!

18. Solve the quadratic equation by using the graph.

Look at screenshot

Answers

Step-by-step explanation:

As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.

Hence, the quadratic equation of the curve is y = x^2 - 1.

1. A light rail travels at a rate of 165 miles per
hour. If the light rail travels for 3 hours, then
how far did it go?

Answers

Answer:

495 miles

Step-by-step explanation:

If the light rail goes 165 miles per hour (mph) and if it was to travel for 3 hours you would multiply 165 mph x 3 = 495

Hey there!

[tex]Answer: \boxed{495\text{ miles}}[/tex]

[tex]Explanation:[/tex]

The light rail traveled 165 miles in one hour. The question is asking how many miles would it travel in 3 hours. So the only thing you have to do is multiply 165 miles by 3 hours.

[tex]165*3=495\\[/tex]

So it traveled 495 in 3 hours. So the answer to your question is:

[tex]\boxed{495\text{ miles}}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

If M is the Midpoint of AB, then solve for x find the unknown measures the given segments.

Answers

Answer:

If M is midpoint of AB, then

AM=MB

4x-5= 2x+11

2x=16

x=8

AM= 4x-5

=4(8)-5

=32-5

=27

BM=2x+11

=2(8)+11

=16+11

=27

Hope it helps:-)

Organisms A and B start out with the same population size. Organism A’s population doubles every day. After five days, the population stops growing and a virus cuts it in half every day for three days. Organism bees population grows at the same rate but it’s not infected with the virus. After eight days how much larger is organism B’s population an organism A’s population?


1: By what factor does organism as population grow in the first five days? Express your answer as an exponential expression

Answers

Answer:

1. 252N = ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N

2. Factor = [tex]2^{5}[/tex]

Step-by-step explanation:

Let the starting population size for organisms A and B be represented by N.

For organism A;

Day 0: N

Day 1: 2N

Day 2: [tex]2^{2}[/tex]N

Day 3: [tex]2^{3}[/tex]N

Day 4: [tex]2^{4}[/tex]N

Day 5: [tex]2^{5}[/tex]N

Day 6: [tex]2^{4}[/tex]N

Day 7: [tex]2^{3}[/tex]N

Day 8: [tex]2^{2}[/tex]N

For organism B;

Day 0: N

Day 1: 2N

Day 2: [tex]2^{2}[/tex]N

Day 3: [tex]2^{3}[/tex]N

Day 4: [tex]2^{4}[/tex]N

Day 5: [tex]2^{5}[/tex]N

Day 6: [tex]2^{6}[/tex]N

Day 7: [tex]2^{7}[/tex]N

Day 8: [tex]2^{8}[/tex]N

1. After the eight days, organism B's population is larger than organism A's population by;

[tex]2^{8}[/tex]N - [tex]2^{2}[/tex]N = 256N - 4N

               = 252N

               = ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N

2. Organism A's population grows by [tex]2^{5}[/tex].

Answer:

factor 2^5

Step-by-step explanation:

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw their respective line segments in the above graph. If the school is relocated in a way that it is collinear to the coffee shop and the library and distance to the coffee shop is preserved, then the point representing the school will partition the line segment from the coffee shop to the library in a
x: y ratio. What are the values of x and y? Part B: Sergio lives at the corner of 16th Street and 19th Avenue. Saskia lives at the corner of 20th Street and 3rd Avenue. Located 1/4 of the distance from Sergio’s place to Saskia’s it is the post office. Where is the post office located? Part C: Kay lives is at the corner of 5th Street and 4th Avenue. Her boyfriend works at the twin theater located at the corner of 9th Street and 20th Avenue. They have lunch every Tuesday and Thursday at a market located
3/4 of the distance from the twin theater and Kay’s house. Where is the market located?

Answers

Answer:

See below

Step-by-step explanation:

Refer to attached. All answers included.

Note. Will mainly refer to y-coordinates in distance questionsPart ADistance from coffee shop to library: 16 -8 = 8Distance from coffee shop to school: 16 - 10 = 6 = xDistance from school to library: 10 - 8 = 2 = yRatio x:y = 6: 2 = 3:1Part BDistance from Sergio's home to Saskia's home: 19 -3 = 16Distance from Sergio's home to Post office: 16*1/4 = 4Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15Part CDistance from Kay's home to twin theater: 20 - 4 = 16Distance from twin theater to market: 16*3/4 = 12Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

What is the slope of the line?
I really need help

Answers

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Take two points that are on the line.

In this case, I have taken (-3,2) <- this is [tex](x_{1} ,y_{1} )[/tex]

and (1,-1) <- this is [tex](x_{2} ,y_{2} )[/tex]

To find the slope, you do the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Put in the values:

[tex]\frac{-1-2}{1-(-3)} =-\frac{3}{4}[/tex]

Caleb painted a regular wall that was 15 feet long and 12 feet tall. He divided the wall into two congruent, right triangles and painted each try and go to different color. What was the area, and square feet, of each triangle?

Answers

Answer:

Step-by-step explanation:

Each triangle has a formula of 1/2 a*b

So one triangle = 1/2 * 12 * 15 = 90

So the other one is the same area of 90 square feet.

Together they make 180 square feet.

You can check this by simply multiplying  a*b = 12 * 15 = 180 square feet.

Solve 6r + 7 = 2r - 9.

Answers

Answer:

I think it's 7=-9 but I can't remember what the term is called because I'm a little rusty, sorry. If you want to know tho, I can find my old notes

Step-by-step explanation:

Answer:

Step-by-step explanation:

6r + 7 = 2r - 9

4r + 7 = -9

4r = -16

r = -4

U is the set of natural numbers less than 8. G is the set of even integers less than 10. Which is the
complement of set G in universe U? a.{1,3,5,7} b. G c. {2,4,6} d. {1,3,5,7,8}

Answers

Answer: Choice A. {1,3,5,7}

=============================================

U = set of natural numbers less than 8

U = {1,2,3,4,5,6,7,8}

G = set of even integers less than 10

G = {..., -4, -2, 0, 2, 4, 6, 8}

Circle the items in G that are also in set U. Those items are {2,4,6,8}

Then go back to set U = {1,2,3,4,5,6,7,8} and erase 2,4,6,8 to be left with {1,3,5,7}

The complement of a set is everything that isn't in a given set. Think of it as the opposite.

Simplify the product using the rules for exponents 14^3• 14^4

Answers

Answer:

105,413,504

Step-by-step explanation:

14x14x14= 2,744

14x14x14x14= 38,416

2,744x38,416= 105,413,504

10x - 5 <41 - 53
solve the inequality below for x

Answers

Answer:

[tex]x<-\frac{7}{10}[/tex]

Step-by-step explanation:

[tex]10x - 5 <41 - 53[/tex]

[tex]10x-5<-12[/tex]

Add 5 to both sides:

[tex]10x-5+5<-12+5[/tex]

[tex]10x<-7[/tex]

Divide both sides by 10:

[tex]\frac{10x}{10}<\frac{-7}{10}[/tex]

[tex]x<-\frac{7}{10}[/tex]

Answer:

-0.7

Step-by-step explanation:

10x<41-53+5

10x<-7

x<-7/10 or -0.7

so x has to be less than -0.7

A baker can decorate 5 cakes in 100 minutes. What is his rate per hour?

Answers

5 cakes / 100 mins = 0.05 cakes / min

0.05 cakes * 60 mins = 3 cakes / hour

3 cakes an hour - .05 cakes a minute
0.5 • 60 = 3 cakes

A transformation of rectangle ABCD results in rectangle A'B'C'D'.

A smaller rectangle is shown inside a larger rectangle. The smaller rectangle has side lengths 5, 4, 5, 4. The larger rectangle has side lengths 10, 8, 10, 8.
Which transformation maps the pre-image to the image?

dilation
reflection
rotation
translation

Answers

Answer:

dilation

Step-by-step explanation:

did it on edge 2020

Pls make me brainliest much appreciated

The transformation that maps the pre-image to the image i.e. ABCD to A'B'C'D'  is the Dilation transformation.

What is dilation?

Changing in size without changing the shape of the given figure, such transformation is known as dilation.

We have,

According to the question:

Smaller Rectangle ABCD has side lengths 5, 4, 5, 4.

And,

Rectangle A'B'C'D' has side lengths 10, 8, 10, 8.

So,

The size of rectangle A'B'C'D' get increases as compared to rectangle  ABCD.

Hence, We can say that the transformation dilation would transform the ABCD into the A'B'C'D' by dilation.

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The inverse of y = 2x + 2 is

Answers

Answer:

(x - 2) / 2

Step-by-step explanation:

x = 2y + 2

2y = x - 2

y = (x - 2) / 2

Answer: (x-2)/2

Step-by-step explanation:

edg

The average (arithmetic mean) of 10, 14, and 3x is 18. What is the value of x?

A) 25
B) 26
C) 27
D) 30

Answers

Mean=(10+14+3x)/(3)
Which mean value ady stated, 18
18=(10+14+3x)/(3)
54= (10+14+3x)
54-10-14=3x
3x=30
x=10

Hope this can help.
B

It is a great match question you go need to do 10x14+3x=18

Write an equation for the description.
Ten times the sum of half a number x and 5 is 9.

Answers

This • means Times btw


10•(1/2x+5)=9

What is the range of the function y=4x+3 for the domain 7≤x≤10?

Answers

Answer:

[tex]31 \leqslant y \leqslant 43 [/tex]

Step-by-step explanation:

When you put this formula into a graphic formula, you get a graph going up four and right one and intercepts the y-axis at 3. On the x-axis, when you go to x=7, the graph is at Y=31, same for x=10, the graph is at y=43

Probability of being a boy in this class is 1/3 and there are 12 girls. Find the total
number of students.

Answers

Answer:

18

Step-by-step explanation:

The fraction 1/3 is equal to 6/18. There are 12 girls, and 6+12=18, so there is a total of 18 students.

Answer:

18

Step-by-step explanation:

By knowing that 1/3 is the probability of being in the class, you can find that 12 girls and 6 boys would sound perfect to the question. Mathematically you would solve it by 12/0.33333 and it equals 18 of total number of students. If you need more help text me on insta it's jason_lee093

The answer is five thousand.
three hundred. What
is the
question?
53 x 100
510 x 59
100 x 500

Answers

Answer:

First option. [tex](53\times100)[/tex]

Step-by-step explanation:

Five thousand, three hundred = 5300

[tex]53\times100=5300[/tex] (Correct)

[tex]510\times59=30090[/tex] (Incorrect)

[tex]100\times500=50000[/tex] (Incorrect)

Answer:

You only have to solve each one until you get the right answer, in this case this is what you can do:

Step-by-step explanation:

53 times 100 = 5,300

510 times 59 =  30,090

100 times 500 = 50,000

The right answer is the first one!

Hope this is right, and helps!!!

How do I solve 18=6(2x-8)

Answers

Answer:

x= 5.5

Step-by-step explanation:

18=12x-48

-12x= -48-18

-12x= -66

x= -66/-12

x= 5.5

Answer:

Okay so first you distribute 6 into the parenthesis that gives you

18=12x-48

Then you add 48 on both sides

66=12x

then you divide

X=5.5

Step-by-step explanation:

Write the equation of the line in slope-intercept form that is perpendicular to y= 2/3x - 3 and passes through the point (6,5)​

Answers

Answer:

y=2/3×-3 passes point (6,5)

Step-by-step explanation:

=y=4/6×9 12,10

The picture represents a compass and straightedge construction of___?

Answers

Answer:

B

Step-by-step explanation:

The picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

What is a bisector of a line segment?

A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the center dividing the line into two equal parts.

We have a figure,

There are two line segments.

One line segment is bisected by the compass at point B.

One line segment is bisected by the compass at point F.

Thus the picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

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What goes into -27/8

Answers

27 cannot be divided by 8 so, you would keep your answer as -27/8 or, by a mixed fraction of -3 3/8

If the density of manganese is 7440kg/m3,
find the mass of 35,000 m3

Answers

Answer:

Step-by-step explanation:

Density = mass/Volume

mass = Density × Volume

= 7440 × 35000

= 744×35×10000

= 260400000 kg

= 2604×10^5 kg

= 2.60× 10^8 kg

Hope this helps! :)

What is 2 3/4as an improper fraction

Answers

the improper fraction is 11/4

how do i solve 20= 2a + 3a i dont need the answer, just how to do it

Answers

Answer:

Add 2a and 3a

20 = 5a

Divide both sides by 5

a = 4

Step-by-step explanation:

Answer: a=4

Step-by-step explanation: you add 2a and 3a together then you get 20=5a. You would divide 20 by 5 and get a=4.

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