What are the coordinates of the vertex for f(x) = x2 + 4x + 10? (1 point) (−2, 2) (2, 2) (−2, 6) (2, 6)

Answers

Answer 1
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: and simplify to get . In this process we have created a perfect square binomial on the left, which happens to be . Now move the -6 back over by addition to get . The vertex is found at (-2, 6), the third choice down.
Answer 2

Answer:

A or C

Step-by-step explanation:

x = x2 + 4x + 10

x = 6x + 10

-5x = 10

x = -2


Related Questions

Litterally no one is helping me

Answers

Answer:

y=1/3x-4

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b.

m=slope

b=y-intercept

When you graph with slope intercept form, you start with whatever number that is the y-intercept. For this equation, you started at -4, so -4 is the y-intercept.

The equation now is y=mx-4. Now, find the slope.

The easiest way to figure out slope is to find the next point on the line and see how far it is from the y-intercept. The point closest (going right) is (3,-3). The slope is rise over run, or y/x. The rise, y, from the next point, is 1. The run, x, is 3. So, the slope is 1/3.

The equation in slope-intercept form is y=1/3x-4.

Hope this helps! Have a great day C:


Liam reads 35 pages in 4 hours. How many pages can he read
in 6 hours?

Answers

Answer: 52.5

Step-by-step explanation:

Divide 35 by 4

Multiply the number you get by 6

Answer:

Liam reads 52.5 pages in 6 hours

Step-by-step explanation:

to solve this problem you need to start with finding how many pages he reads in 1 hour.

to do this, divide 35 by 4.

35/4 = 8.75

the unit rate is 8.75 pages per hour.

now just multiply the unit rate by the amount of hours.

8.75 * 6 = 52.5

Lindsey estimated the amount of liquid in a container to be 50 ml. The actual amount of liquid was 43 ml.

What is the percent error?

Round your answer to the nearest whole percent.

Enter your answer in the box.

Answers

Answer:

the answer is 16

Answer:16

Step-by-step explanation: im not sure to be honest

13. 30 to 90
A. 3%; increase
B. 67% increase
C. 200%: increase
D. 300%; increase
Answer:
67% increase

Answers

Answer:

C

Step-by-step explanation:

The formula for percent increase is [ new-old/old * 100% ]

90-30/30 * 100%

60/30 * 100%

2 * 100%

200%

Best of Luck!

It takes 41 pounds of seed to completely plant a 5 acre field. How many acres can be planted per pound of seed?

Answers

Answer:

8.2

Step-by-step explanation:

divide 41 by 5 to get your answer

In ΔQRS, q = 25 inches, r = 58 inches and s=37 inches. Find the measure of ∠R to the nearest degree.

Answers

Answer:138

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

delta math

CASH APP for the first person to get it right

Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1400 grams, how long would it be until the mass of the sample reached 800 grams, to the nearest tenth of a year?

Answers

Answer:

93.3

Step-by-step explanation:

You would divide the years by .5

and divide that answer by 30

Answer:

24.2

Step-by-step explanation:

$neonjumper

Which of the binomials below is a factor of this trinomial?
3x2 + 18x-21
O A. X-3
O
B. X-1
O c. x+1
O D. X+ 3
SUBMIT

Answers

Answer:

B. X-1

Step-by-step explanation:

[tex]3x^2 + 18x-21[/tex]

Factor out common term : 3

[tex]=3\left(x^2+6x-7\right)\\\\Factor\: : x^2+6x-7\right \\\\=3\left(x-1\right)\left(x+7\right)[/tex]

x² +8=5x+2.
Why can’t you determine whether this equation is true or false

Answers

put in any number for x on both sides. if you dont get the same number on both sides, the equation is false

EASYY ! REPLY FAST
Okay if there is 40 question on test how many do I get wrong to still have a A

Answers

Answer:

4 answers

Step-by-step explanation:

100/40 x 36= 90

what is -15/16 + (-7/16)=

Answers

Answer:

-11/8 or -1.375:)

Step-by-step explanation:

Answer:

-15/16 + (-7/16) = -22/16

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 2:

-22/16 = -11/8

Therefore, -15/16 + (-7/16) = -11/8.

A bag has 7 red marbles, 8 blue marbles and 5 purple marbles. Rachel draws a marble from the bag without looking.
What is the probability that Rachel draws a blue marble?
O A 45
OB. 8%
O c. 12.5%
D. 405
O E 66.75

Answers

Answer:

40%

Step-by-step explanation:

7+8+5=20

8/20

.40 then move the decimal to the left 2 times and there's your answer

What is a mathematical problem give an example then the solution

Answers

Well, a mathematical problem can be very diverse, let’s say “Pedro has 67 apples and Jean takes 7, how many apples does Juan have left?” And the answer would be 60 apples

how can we get equation B from Equation A
A. 4x+2=6-x
B. 5x+2=6
question:
1) how can we get equation B from Equation A
2) based on the previous answer, are the equatikns equivalent? in other words, do they have the same solution?​

Answers

You can get from equation A to B by adding the x to both sides, therefore, the two equations are equivalent.

Brandy drove four times as far as Tomas. Together, they drove 75 miles. Which equation below can be used to find the number of miles Tomas drove?

Answers

Answer:

x+4x=75

Step-by-step explanation:

Equation: x+4x=75

                     5x=75

                       x=15

solve for x: x+15=45

Answers

Answer:

x = 30

EXPLANATION:

Move all terms not containing x to the right side of the equation.

Subtract

15 from 45 then you get your final answer x = 30


Determine whether the sequence is arithmetic, geometric,
or neither.
2, 8, 32, 128, ...

Answers

Answer:

Step-by-step explanation:

The sequence is geometric

it can be defined as

[tex]S_n = a*b^n^-^1\\2 = ab^0\\8 = ab^1[/tex]

[tex]2 = a\\8 = 2*b\\b = 4\\S_n = 2(4)^n^-^1[/tex]

5,18, 31, 44, 57, 70
Which expression represent the nth number in this sequence?

Answers

Answer:

a(n) = 5 + 13(n - 1)

Step-by-step explanation:

Note that each new number is obtained by adding 13 to the previous number.  The common difference is 13 and the first number is 5.  The general formula for an arithmetic sequence is

a(n) = a(1) + d(n - 1), where d is the common difference.

Here,

a(n) = 5 + 13(n - 1)

HELPPPP PLEASEEEEE I NEED ANANSWER ASAP

Answers

Because the denominator simplifies to 5-5 which means you divide by 0 which isn't possible
Because the bottom simply to 5-5 which is impossible and makes it 0

Hi if you can answer this i'll mark u brainllest and give you MORE points
Convert 3.16 repeating to a fraction. Explain your strategy or show steps you used to convert the number. (plz don't make really long try to shorten it, because i only have little space to write it)

Answers

Answer:

79/25

Step-by-step explanation:convert to a mixed number by placing the numbers to the right of the decimal over 100.

What is the perimeter of a triangle with sides
11 inches, 4 inches, and 12 inches in length?
11
4
12
А
25 inches
B
16 inches
15 inches
27 inches

Answers

Answer:

27 inches

Step-by-step explanation:

i think this is the answer

Jack bought a scarf that costs 15 dollars and a hat that costs 22 dollars. At the counter, he received a discount. If he only paid 34 dollars total, how many dollars was the discount?

Answers

The answer is 3
15+22=37
37-34=3
Answer 3 dollars because if you add the together then subtract by 34 that is your answer

Solve for x :
(2x – 10) (x – 6) = 0

Answers

Answer:

x=5,6

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Adam has at most $60 to spend on shoes and socks. He finds a pair of shoes for $42. Socks cost $4 per pair. Write and solve and inequality to determine how many pairs of socks he could buy.

Answers

Answer:

42+4x<60

Step-by-step explanation:

Answer:

42+4x≤60

Step-by-step explanation:

Jahan earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Jahan sold 32 new gym memberships. How much money did Krego earn last month?

Answers

Answer:

$2608.75

Step-by-step explanation:

given that Jane earn  $2,456.75 every month

and earns  $4.75 every time he sells a new gym membership

given the total number of membership is 32

let the total earnings be y

the number of membership be x

the model for her earning is

y= 2,456.75 +4.75x

substituting x=32 we have

y= 2,456.75 +4.75(32)

y=2,456.75 +152

y=2608.75

therefore she earned $2608.75

It costs $12 for admission to the Fair, plus $0.50 for each ticket to play games. If you have a total of $30 to spend, what is the greatest amount of tickets you can buy?

Answers

Answer:

36 tickets

Step-by-step explanation:

The expression is given as:

$12 + $0.50× x = $30

12 + 0.50x = 30

0.50x = 30 - 12

0.50x = 18

x = 18/0.50

x = 36 tickets

Therefore, the greatest amount of tickets you can buy is 36 tickets

Which of these kinds of evidence would be the best to support the claim that basketball is the best sport for physical fitness?

A. quotations from basketball players
B. the final score of the basketball championship
C. statistics about the health of basketball players
D. the story of a girl who got in shape by joining the basketball team

Answers

C - statistics would be based on factual evidence

what is 30 percent of $40

Answers

Answer:

12$

Step-by-step explanation:

When taking a percentage of something

You are multiplying because that is what of implies.

To convert a percentage to a decimal get rid of the %, and divide by 100.

Given 30 percent of $40, Multiply the converted decimal of the percentage, and the quantity.

30% of $40 = 30/100 × 40$ = 3/10 × 40$ = (40$ × 3) / 10 = (40$ + 40$ + 40$) / 10 = 120$ / 10 = 12$

Solve the equation: 3x –8 + 5x = 32

Answers

Answer: x=5

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

— 5х + 9y = -18
Intercepts from an equation

Answers

2x+9(0)=18
2x=18
X=9 we found the Y intercept by us setting X =0
2(0)+9y=18
Y=2 the answer is 2
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