What is the vertex of y = x2 + 4x – 7?
O(-4,-7)
O (2, 5)
0 (-2, -19)
0 (-2, -11)

Answers

Answer 1
2
,
0
)
Method 1:
y
=
x
2

4
x
+
4

complete the square to get:
y
=
(
x

2
)
2
pick out the x value (2), and the y value (o)
to get:
(
2
,
0
)
method 2:
y
=
x
2

4
x
+
4

d
y
d
x
=
2
x

4

let
d
y
d
x
=
0
as the vertex is when the gradient of the curve is 0.
to get
x
=
2

substitute that into the original equation to get
(
2
,
0
)

Related Questions

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT

Answers

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

Nancy wants to put up a fence around
a rectangular garden. The garden
measures 12 feet by 18 feet. How
much fencing material is needed?

A30 feet
B 108 feet
C 60 feet
D 216 feet

Answers

Answer:

if you are doing times then it would be 216 feet

Step-by-step explanation:

18 x 12 equals 216 I hope it helped

1. John earns 12% for each house he sells.
If he sells a house for $52,000 , what is his commission?
|

Answers

52000 times .12 equals 6240


John earns $6240 commission

Answer:

6240

Step-by-step explanation:

52,000*12%=6240

PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE

Answers

Answer:
7) ARC DE = 189
ARC EF = 13
ARC DFG = 347
8) ARC MN= 65
ARC NP= 115
ARC NQP= 245

Explanation:
7) 2 *vertical angles so double* (x-3) + 2 * vertical angles so double* 12x-25) = 360 *Total Degree of a circle*
2x-6 +24x-50 =360
26x -56 = 360
26x=416
x=16
Plug it back into the Formula.
Arc EF = x-3
16-3 = 13
Arc 12x -25 *Vertical Angels so same formula as Arc GF*
12(16)-3= 189
ARC DFG = 360 - ARC DG
360 - 13 = 347

8) 10x -45 = 6x-1 *vertical angles equal each other*
4x-45 =-1
4x =44
x=11
ARC MN = 10x -45
10(11)-45=65
ARC NP = 0.5(360 - 2(ARC MN))
0.5(360-130) = 115
ARC NQP = 360 -NP
360-115 = 245

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

Classify the graph.
A?
B?
C?
D?

Answers

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

What is the alternative press?

Answers

Answer:

D. A news organization that is not owned by a corporation.

Step-by-step explanation:

your answer is i’ll be d hope this helps you

guys i have 5 min left plz

Answers

Answer:

both are wrong

Step-by-step explanation:

raj's mistake: he did not multiply -2 by -5a/4

antonia's mistake: she went from -4a/4 to a which is wrong because -4/4 is -1.

Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)

B. (6, 10)

C. (10, −10)

D. (3, −3)

Answers

Answer: C. (10, -10)

Step-by-step explanation:

Given

1) 2x-3y=50

2) 7x+8y=-10

Multiply both sides of 1) equation by 3.5

1) 3.5(2x-3y)=3.5×50

   7x-10.5y=175

2) 7x+8y=-10

Subtract 2) equation from the 1)

(7x-10.5y)-(7x+8y)=175-(-10)

-18.5y=185

y=-10

x=10

(10, -10)

Hope this helps!! :)

Please let me know if you have any questions

i got , C - (10,-10)

2.

For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.


A. yes; y = -1/3x

B. yes; y = x – 3.3

C. yes; y = –3.3x

D. no

Answers

C. Because every y/x =-3.3 with no y-intercept.

Answer:

D. no

Step-by-step explanation:

im pretty sure its d. no

someone please help me

Answers

The answer to your question is B

help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!

Answers

Answer:

1.) Right triangle

2.) Not right triangle

3.) Not right triangle

4.) Not right triangle

5.) Right triangle

6.) Right triangle

Step-by-step explanation:

The ones that are a right triangle have at least one angle that has an L shape

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text

Answers

Complete question :

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text. The time spent picking blueberries

Answer:

44 minutes

Step-by-step explanation:

Given that :

Start time = 1:37 pm

End time = 2:21 pm

The time difference is obtained by subtracting the start time from the end time :

. End time - start time

2:21 pm - 1:37 pm

From 1:37 pm to 2 pm = 23 minutes

From 2 pm to 2:21 pm = 21 minutes

Total minutes = (23 + 21) minutes = 44 minutes

Find the missing length of the right triangle.

Answers

20, because by using Pythagorean theorem, a2+b2=c2. Let’s make a=12 and b=16. (12)2 + (16)2 =c2. If you simplify this, 144 + 256 = c2. 144 + 256 = 400, so 400=c2. Finally if we take the square root of both sides, c=20.

ABC is a straight line. Work out the size of the angle marked x

Answers

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

Find out more on equation at: https://brainly.com/question/2972832

HURRY PLEASE TIMER: 15 MINS: Coach needs runners for a 4 mile relay race.
Each runner has to run 2/5 mile.
How many runners does the coach need?

Answers

The coach needs 10 runners
Each runner runs 2/5 of a mile, so 5 people would be needed to run two miles. Therefore, he’d need 10 runners.

In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.

Answers

Answer:

518

Step-by-step explanation:

A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If
two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be red?
( I’m needing to know this ASAP please help )

Answers

Answer:

5/14

Step-by-step explanation:

Answer:10/91

Step-by-step explanation:

if f (x) =5x^{2} what is 3 f (x) ?

Answers

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest

Answers

Answer:

A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.

Step-by-step explanation:

HELP ASAP!!!!
thank you so much if you helped!!

Answers

Answer:

H. 22 hours

Step-by-step explanation:

He earns $8 per hour.

176 ÷ 8

22

Now, suppose assuming the true fraction of voters is .65, the estimated standard deviation of X is given as 6.65. Suppose you find that 115 people actually voted yes in the random sample of 200. Conduct hypothesis testing using p value approach at 5% significance level to determine the validity of Candidate A’s claim that he was at least supported by 65% of the voters. (Make sure you show the steps of hypothesis testing)

Answers

Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

SCENARIO A:When the Puertas family moved into their home 14 yearsago, there was alemon and orange tree in their backyard. Both treeshave since been growing ata constant rate. 2 years after the Puertas familymoved in, the lemon tree was 7feet tall, and 8 years after they moved in, the lemontree was 10 feet tall. As forthe orange tree, 3 years after the Puertas familymoved in, it was 4 feet tall, and7 years after they moved in, the orange tree was 8feet tall.Question 1:How many years afterthe Puertas family moved in willthe lemon tree and theorange tree be the same height?What height will theybe?

Answers

Answer: 18

Step-by-step explanation:

Simplify.
27²=
FAST plsssssssssssssssssssssss

Answers

Answer:

729

Step-by-step explanation:

27²=  (27)(27)=729

how many hours and still elapsed from 0740 hrs to 1135 hrs.?

Answers

Answer:

3 hours and 55 minutes

Step-by-step explanation:

Alfonso plans to create an ice sculpture out of a 8-cubic foot ice cube. What is the surface area of the cube?

Answers

Answer:

Surface area of cube = 24 ft²

Step-by-step explanation:

Given:

Volume of cube = 8 ft³

Find:

Surface area of cube

Computation:

Volume of cube = Side³

Side³ = 8 ft³

Side³ = (2 ft)³

Side = 2 ft

Surface area of cube = 6a²

Surface area of cube = 6(2)²

Surface area of cube = 6(4)

Surface area of cube = 24 ft²

Please help... 12 points please thank you!

Answers

Number of dollars I think
Sorry if I’m wrong

Maricow county charges a 4% local fee on all cell phone bills. If a customers bill comes out to 125 what will their bill be including the local fee their bill

Answers

Answer:

$130

Step-by-step explanation:

Given data

Customer bill= $125

Charge= 4%

let us find 4% of $125

=4/100*125

=0.04*125

=$5

Hence the  bill including the local fee is

=125+5

=$130

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