Mathematics High School

PLEASE HELP

A. identify the vertex

B. Identify the intercept

C. Write the equation of the graph above

D. Fill in the end behavior:

As x , y

As x 3, y

E. Identify the domain and range:

Answers

Answer 1

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4 =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

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Related Questions

Please help me with this!

Answers

Answer:

y=2x+3

Step-by-step explanation:

you should see how to get from one number to the next.

I noticed by multiplying an input by 2 then adding 3 I reach my output.

I would use this for each input to find that it would equal my output every time I used the rule

please help me this hard

Answers

Answer:

P= 6

Step-by-step explanation:

6P=-6+7P

6P-7P=-6

-P=-6 -------divide both side by negative

P=6 you get

Which of these is a good conductor?
wood
silver
paper
air

Answers

Silver is an excellent conductor for heat.

the answer is silver

guys pls help me!!!!!!

Answers

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Which function is equivalent to g ( x ) = x 2 + 15 x - 54?

Answers

Answer:

g(x) = (x+18)(x-3)

Step-by-step explanation:

g(x) = x²+15x-54= x²+18x-3x+54= x(x+18) -3(x+18)g(x) = (x+18)(x-3)

Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Joan paid 60 dollars to rent a bike. How many hours did she pay to have the bike checked out ?

Answers

3 or 4 have s good day

Draw an area model. Then, Solve using the standard algorithm.
642 x 207

Answers

Uhmm,, 132,894?

132,894 ba?

An area model for the area of 1,32,894 units² is shown in the image.

We have to give that,

The standard algorithm is,

642 x 207

Now, for the area model,

Draw a rectangle with a length of 642 units and a width of 207 units.

Then, the Area of the rectangle is,

A = Lenght x Width

A = 642 x 207

A = 1,32,894 units²

Hence, the Area is,

A = 1,32,894 units²

To learn more about the rectangle visit:

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Please help me!!!!! THIS IS LATE NEED HELP!!!! Just a head's up the graph x and y axis goes by 2 not 1.
Find two points from this graph and then determine the slope.

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First point (4,2) , (6,5)
slop = y2-y1/x2-x1
=5-2/6-4
Slop= 3/2

3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...

Answers

It’s 15. 7- (-8)=15. It take the vector 15 units to travel horizontally to the right

x + y 6x - 4y - 2 simplified?

Answers

Step-by-step explanation:

X + Y + 6X - 4Y - 2 would be 7x - 3y -2

:) hope this helped let me know if you need more help! :)

>> Algebra

____________

[tex] \: [/tex]

x + y + 6x - 4y - 2 = ...

= (1x + 6x) + (1y - 4y) + (-2)

= 7x - 3y - 2✔

which one would it be

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Answer:

the answer would be c. .........

please help me fast with explanation

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Answer:

1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23

2. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.888×10^10

3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3

Just use the same explanation in number 1 to get the right answer.

Can someone tell me the answer to this

Answer choice D is incorrect

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Answer:

Step-by-step explanation:

It's going to get smaller

round off 4.675 to the nearest tenth

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round off 4.675 to the nearest tenth

4.7

hope it helps

Dana went to the local salon to get a haircut. The cost was $38. Dana tipped the hair stylist 20%. What was the total cost of the haircut including the tip? Round to the nearest cent.

Answers

Answer:

Dana paid $45.60 in total.

Step-by-step explanation:

20% of 38 is 7.60. Add this to the total price of $38. (38+7.60=$45.60)

15 cm
T
9.9 cm
12 cm

-
Find volume

Answers

Step-by-step explanation:

The volume = 15 × 4.2 × 9.9 = 623.7

please give me a brainliest answer

What is the midpoint of this segment

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Answer:

(1,1)

Step-by-step explanation:

Quadrilateral A’B’ C’ D ‘ is the result of reflecting quadrilateral ABCD across line l

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Answer:

Step-by-step explanation:

Please solve.. I will mark you brainliest

Answers

Step-by-step explanation:

6y=3y+6(congruent triangles)

6y-3y=6

3y = 6

y=2

ST =6(2) =12

TU = 3(2) + 6 =12

A line has slope 5/6 and y-intercept -3

Answers

Answer:

y = (5/6)x - 3

Step-by-step explanation:

yeah-ya..... right?

(ii) Explain why a+b+c= 235°
This is a cornet maths question. How do I solve it

Answers

Answer:

Where is the image?

Step-by-step explanation:

Tell me in comments

The equation a + b + c = 235 is true because a = c = 55° and b = 125°

How to prove that a + b + c = 235?

The angle a and 125° are on the same straight line.

So, we have:

a + 125° = 180°

Subtract 125 from both sides

a = 55°

The angle b and 125° are vertical angles

So, we have:

b = 125°

The angle a and angle a are vertical angles

So, we have:

c = a

This gives

c = 55°

Add the three angles

a + b + c = 55° + 125° + 55°

Evaluate the sum

a + b + c = 235°

Hence, it is true that a + b + c = 235°

Answers

Answer:

7x=y

Step-by-step explanation:

7x=y

7 times x(#of weeks)= y (paper recycled)

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Franklin's office just started a new recycling program this year. They aim to recycle [tex]7[/tex] kilograms of paper each week.

So, it would be

[tex]7x=y[/tex]

Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].

To know more about the equation

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Please help. I'll mark the answer as brainliest.

Answers

thanks for the points

Step-by-step explanation:

hehe

you walk into a room.on the bed,there 2 dogs, 4 cat, a girrafe, 5 cows and a duck.there are also three chickens flying above the bed.how many legs are on the floor ?

Answers

Answer:

50 legs

Step-by-step explanation:

We know that a dog has 4 legs, a cat has 4 legs, a giraffe has 4 legs, a duck has 2 legs, and a chicken has 2 legs. So, we want to calculate [tex]2(4)+4(4)+1(4)+5(4)+1(2)+3(2)[/tex], right?

Wrong! It's a trick question! The chickens aren't on the floor, so they don't count. So, we really want [tex]2(4)+4(4)+1(4)+5(4)+1(2)[/tex].

We multiply it out to get [tex]8+16+4+20+2[/tex].

We add these up to get [tex]50[/tex].

So, our answer is [tex]\boxed{50}[/tex] legs.

Find the measure of the missing angle.

Answers

Answer:

a = 34

Step-by-step explanation:

Tell me in the comments if you want an explanation!

Hope This Helps! •v•

asap po please thank you po!

Answers

Answer:

1 is correct, 100.

2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.

3 is correct.

4 is correct.

5 is correct.

6 is correct.

7 is correct.

8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.

9 is correct.

and 10 is correct!

i think that you did pretty well on most of these, but remember the rounding rule.

I really need help in this, please I keep getting links! help asap. (20 points)

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.

Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

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Answer:

0.2

Step-by-step explanation:

please do this for me

Answers

21+96 = 117
180-117=63
X= 63

Answer:

63 degrees

Step-by-step explanation:

HINT: know that in a triangles angles add up to 180 degrees.

1. 96+21= 117

2. 180-117=63

3. 63 degrees

If a jar contains 3 blueberry, 4 ginger, 1 green, and 6 regular tea bags, what is the probability that a regular tea bag will be pulled from the jar? Answers must be in simplest form.

Answers

I love blueberries so 10+y is not right answer

if f(x)=3x-15 and g(x)=2x+11; find f(g(2))

Answers

Answer:

f(g(2)) = 30

Step-by-step explanation:

Evaluate g(2) , then substitute the value obtained into f(x)

g(2) = 2(2) + 11 = 4 + 11 = 15 , then

f(15) = 3(15) - 15 = 45 - 15 = 30

Step-by-step explanation:

[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]

f(g(2)) = 30 is the right answer.

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PLEASE HELPA. identify the vertex B. Identify the intercept C. Write the equation of the graph above D. Fill in the end behavior: As x , y ____As x 3, y ____E. Identify the domain and range:

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PLEASE HELP

A. identify the vertex

B. Identify the intercept

C. Write the equation of the graph above

D. Fill in the end behavior:

As x , y

As x 3, y

E. Identify the domain and range: