What is the axis of symmetry and y- intercept for the equation y = 3x² + 6x - 7 ?

Answers

Answer 1

Axis of symmetry is
x
=
1
, vertex is at
(
1
,
15
)
.
Explanation:
f
(
x
)
=
−
3
x
2
+
6
x
+
12
=
−
3
(
x
2
−
2
x
)
+
12
=
−
3
(
x
2
−
2
x
+
1
)
+
3
+
12
=
−
3
(
x
−
1
)
2
+
15
. Comparing with standard vertex form of equation
f
(
x
)
=
a
(
x
−
h
)
2
+
k
;
(
h
,
k
)
being vertex.
Here
h
=
1
,
k
=
15
. So vertex is at
(
1
,
15
)
.
Axis of symmetry is
x
=
1

graph{-3x^2+6x+12 [-40, 40, -20, 20]} [Ans]

Related Questions

Which expression is equivalent to (-3y - x) - (5y - 8x)?

A. -8y - 8x

B. -8y + 7x

C. 2y - 7x

D. 8y + 8x

Answers

Answer:

Step-by-step explanation:

plz mark brainliest

Rachel earned $42 for 3 1/2 hours at her job today. How much does Rachel earn per hour?

Answers

The answer is $12 an hour because 12 times 3 is 36 and half of 12 is 6 so add 6 to 36 and you get 42.

URGENT PLEASE HELP!!!!

The liver filters the drug Tylenol in an exponential way. Suppose tests show that after 12 hours pass, since taking a does of 400 milligrams, 50 milligrams remain in the blood stream. What is the half life of of Tylenol?

Possible answers:
6.5 hours
4 hours
No correct answer

Answers

9514 1404 393

Answer:

4 hours

Step-by-step explanation:

There are several ways to work this. One way that often works well with multiple choice questions is "try the answers".

6.5 hours

If the half-life is 6.5 hours, then 200 mg will remain after 6.5 hours, and 100 mg will remain after 13 hours. The decay rate is faster than that, so 6.5 hours is not right, but a lesser value is.

4 hours

If the half-life is 4 hours, then 200 mg will remain after 4 hours, and 100 mg will remain after 4 more (=8) hours. An additional 4 hours will cut that in half again to 50 mg after 12 hours.

The half-life is 4 hours.

PLEASE HELP!! WILL GIVE BRAINLIEST!!
Write an equation for the following problems and then solve:
1. Five times a number added to twelve is nine times the number.
2. Twice the difference of a number and six is the sum of that number and two.
3. Four times a number is three times the difference of that number and one.

Answers

Answer:

The number is 3.

Step-by-step explanation:

5x3=15+12=27

9x3=27

Hope this helps

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H
HH represents the height of the tree (in centimeters),
t
tt years since Renata moved in.
H
=
210
+
33
t
H=210+33tH, equals, 210, plus, 33, t

Answers

Answer:

The tree's height when Renata moved in was

210 centimeters.

Step-by-step explanation:

When Renata first moved in, the number of years since she moved in,

t, was 0.

We can calculate the height of the tree at that time:

h=210+33t

h=210+33(0)

Then you distribute 33 into 0 (Multiply)

h=210+0

h=210

Therefore the trees Height (h) when Renata moved in was 210cm.

jdfkdsjfbjfbksjfbsdj kfbkfsbk jbsdkfbdskj b

Answers

Answer:

Thanks for the points

Step-by-step explanation:

Can you give me brainliest too ❤️ ❤️

Answer:

Ugfoh fufpflufg gigyofyoxlu hsixykfdkxiyfo

Step-by-step explanation:

I hope others understand this language as well

what’s 3.8 - (-7.45)? write it in a simplified fraction

Answers

Answer:

11.25

Step-by-step explanation:

Since there is a double negative, you just simply add the two numbers together.

[tex]3.8 + 7.45=11.25[/tex]

Hope this helps :)

2.
Which situation represents a non-proportional relationship?

The cost of purchasing p pounds of salmon for $7.99 per pound.

The amount a student makes mowing m number of lawns charging $35 per lawn.

The amount of water draining at a rate of 2.5 gallons per minute.

The total cost of renting a jet ski for $25 per hour plus a fee of $50.

Answers

Answer: The amount of water draining at a rate of 2.5 gallons per minute.

Step-by-step explanation: A non-proportional relationship is when the slope passes through the origin. A non-proportional relationship does NOT have a fee.

There are 4,050 newspapers to be delivered in a certain area of town. If 18 newspaper carriers are all delivering the same number of papers, how many will each deliver?

Answers

Given :

There are 4,050 newspapers to be delivered in a certain area of town.

To Find :

If 18 newspaper carriers are all delivering the same number of papers, how many will each deliver.

Solution :

Let, total number of deliver are n.

Total newspaper, T = 4050 .

Number of news carriers, N = 18 .

So,

[tex]n = \dfrac{T}{N}\\\\n = \dfrac{4050}{18}\\\\n = 225[/tex]

Therefore, each deliver will carry 225 newspapers.

Hence, this is the required solution.

Lucy maybe a pumpkin pie to sell at the bake sale. She cut it into 6 slices and sold each slice for $1.25. How much money will she sell the entire pie?

Answers

Answer: She will sell the entire pie for $7.5.

Step-by-step explanation:

Given: Number of slices in each pumpkin pie = 6

Selling price for each slice = $1.25

Now , Selling price for 6 slices = 6 x (Selling price for each slice)

= 6 x $1.25

= $ 7.5

i.e. Selling price for entire pie = $ 7.5

Hence, She will sell the entire pie for $7.5.

Stacy is making a shelf to store her collection of books. She is using 5 pieces of wood that are each 3.16 feet long. What's the total feet of wood Stacy will use to make the shelf?

Answers

Answer:

15.8 feet

Step-by-step explanation:

Stacy is making a shelf to store her books

She is using 5 pieces of wood

Each wood is 3.16 feet long

Therefore the total feet of the wood that Stacy will use to make the shelf cab me calculated as follows

= 3.16 ×5

= 15.8 feet

State the slope and y-intercept of the graph of y=-2/5x+2

Answers

Answer:

34y

Step-by-step explanation:

help asap please !!!!!

Answers

Answer:

144

Step-by-step explanation:

The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3 8 of the items barbecued are veggie burgers, and 1 3 of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps? 17 24 4 11 3 8 1 8 7 24

Answers

Answer: 7/24

Step-by-step explanation:

Fraction of the items barbecued that are veggie burgers = 3/8

Fraction of the items barbecued that are corn cobs = 1/3

The fraction of the items barbecued that are mushrooms caps will be:

= 1 - (3/8 + 1/3)

The lowest common multiple of 8 and 3 is 24.

= 1 - (3/8 + 1/3)

= 1 - [(3/8 × 24) + [(1/3 × 24)]

= 1 - (9/24 + 8/24)

= 1 - 17/24

= 7/24

12 x 13 - 8 x 13
What is the answer
Ik i can find this on google im just giving ppl points lol

Answers

Answer:

Step-by-step explanation:

156 - 104 = 52

Hey Emma Here!

Answer:

Step-by-step explanation:

12x13=156 and 8x13=104 so 156-104=52

Update:

if its negative its -52 =0

Have A Great Day!

what are you doing for Thanksgiving?

Answers

Answer:

staying home being bored but with family

Step-by-step explanation:

Answer:

We are going to my Papa's house for a big dinner. I love to cook so usually I make dessert, but this year I am going to make some sides for the actual dinner! What are you going to do?

Step-by-step explanation:

FUN FACT: Americans prepare 46 MILLION turkeys for thanksgiving each year!

Plsssssssssssssssssssssssss Help Asap

Answers

Answer:

h(g(0)) = 1 - 3y^2 .

Step-by-step explanation:

Where do i make the jumps?

Answers

Answer:

from 5 back down to 3

Step-by-step explanation:

whenever there is a + and a - right next to eachother it always means -

So, this mean 5-2, which is 3

Answer:

on 3

Step-by-step explanation:

+-=-

5-2=3

7.The way you prefer to spend time your free time
A. reading
B.listening to radio
C. surfing the internet
D.watching tv

Answers

Answer:

i would be surfing the internet but like using social media and stuff like that. but if thats not what you ment then watching tv to be honest

This homework assignment is due tonight and I'm really confused as to what to so could someone please help me .
Write the equation of the line that is parallel to the y-axis and passes through the point (-7 , 2).

Answers

Answer:

x=-7

Step-by-step explanation:

since it is parallel to the y-axis, it doesn't have a slope and the equation will look like x=_. x=-7 because when it is parallel to the y-axis, it will always have the same x-value, but the y-value will continue to increase or decrease

Add or subtract.

a.
5 + 12 =
14

Answers

Answer:

Step-by-step explanation:

12+5=17

5 + 12 = 17

I’m somewhat confused by what you are asking if this is not correct.

will mark brainliest

Answers

Answer:

15 or 14

Step-by-step explanation:

I would say 15 or 14 I dont don't if this is good enough

Answer:

14 i think plz brainliest

Step-by-step explanation:

When finding the slope of the trend line, what does the slope mean about the data of the scatterplot? Explain.

Answers

Answer:

So the slope on a scatterplot is almost always an estimate, so its not exact. It is just an estimate on where it might go and what might happen t data in the future.

Answer:

The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.

Step-by-step explanation:

Hope this helps!

seven times a number is no lees than 42. (solve and graph the inequality)

Answers

Answer:

7x[tex]\leq \\[/tex]42

I think this is the inequality

when solved, x[tex]\leq \\[/tex]6

What is -6z = 72
Idk if it’s -12 or 12 ;_;

Answers

Answer:

it's -12 lelelelelelelelelel

what would x= if 2x=6

Answers

Answer:

x=3

Step-by-step explanation:

[tex]2x=6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{6}{2} \\\\Simplify\\\\x =3[/tex]

A scientist evaluated the local deer population. The scientist found that there were 700 deer in all, 80% of which were juveniles. How many juveniles were there in the local deer population?

Answers

560 is the answer, hope that’s correct

A submarine is located 150 feet below sea level. If it ascends 93 feet, what is the the submarine's new depth?

Answers

Answer:57

Step-by-step explanation: subtract 150 from 93.

Answer:

Step-by-step explanation:

you need to subtract 93 from 150

150-93=57

Which expression is equivalent to 13(6x +3) −p

Answers

Answer:

-p+78x+39

Step-by-step explanation:

Helppppppppppp yayaya

Answers

Answer:

-1/2

Step-by-step explanation:

I'm smart

Answer:

m = - 1/2

Step-by-step explanation:

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