Which of the following is the maximum value of the function y = -x2 + 2x + 1?

Answers

Answer 1

We first complete the square.

y=-x^2+2x+1

y=-x^2+2x-1+1+1

y=-(x-1)^2+2

The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.

The maximum point is (1,2) but the maximum value means the y value which is simply just 2.

Done!


Related Questions

HEEEEEEEELLLLLLPPPPPPPPP Graph the equation using the slope and y-intercept y = 1/3x + 4

Answers

Answer:

Step-by-step explanation:

Simplify the algebraic expression by combining like terms. Using algebra tiles might be helpful.
Link to Algebra Tiles
5x - 4 + x + 8 + 2x

Answers

Answer:

8x + 4

Step-by-step explanation:

Simplified

group like terms: (+5x + 1X + 2x) = 8x (-4 + 8) = 4 add the positive sign so you can get an equation: +4, so your simplified expression would be 8x + 4

Simplify all like terms:

8x + 4

Hope this helps!!

3 3/4 CM * 2 1/2 cm
please answer fast ​

Answers

Answer:0.0009375 m2

Step-by-step explanation:

A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.

Write an expression for how much both booths will cost for the same number of days.

Answers

Answer:

100+5x+50+7x

Step-by-step explanation:

x + y = -6 The slope is and the y-intercept is​

Answers

The y intercept is at -6

7b / b (when b = 2)
ANswer please

Answers

Answer:

7

Step-by-step explanation:

7b/b = 7...(b does not matter)

I think that the answer would be 7 because 7(2)/2 would be 14/2 resulting in 7.

Factor completely: x2-4

Answers

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

3. Sandi is making curtains for her bedroom. She needs 58 feet of fabric. She has 14 yards of fabric. How many more yards of fabric does she need?​

Answers

Answer:

she needs 3 1/3 more yards

Step-by-step explanation:

There are 3 feet in a yard

14yards x 3feet = 42 feet

58 feet- 42 feet= 10 feet

10 divded by 3 is about 3.3

Answer: 6 yards

Step-by-step explanation:

1)    14 x 3 = 42

2)    58 - 42 = 16

3)    16 / 3 = 5.33333333....

4)     round up = 6

someone help me with this ples with steps

Answers

Answer:

[tex]x=\frac{21}{4}[/tex]

[tex]y=\frac{21}{2}[/tex]

Step-by-step explanation:

equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]

step2: simplify the expression:

[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]

[tex]2x=\frac{21}{2}[/tex]

(divide by 2 for both sides)

[tex]x=\frac{21}{4}[/tex]

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

[tex]y=\frac{21}{2}[/tex]

Determine the equation of the circle graphed below.

Answers

Answer:

(x-2)^2+(y+4)^2=34

FIND BC
round to the nearest HUNDREDTH ​

Answers

Answer:

CB = 30.15

Step-by-step explanation:

180-58-93 = 29 degrees for angle B

draw a line perpendicular to BC down to point A, lets call the perpendicular point D.

now you've got 2 similar, smaller triangles

angle A is split into two angles, 29 degrees above and 58 degrees below.

sin 29 =CD/16

CD = 7.75

cos 29 = AD/16

AD = 14

tan 58 =DB/AD = DB/14

DB = 22.40

CD + DB = 7.75 + 22.40 = 30.15

Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=

Answers

y=17

Here is my answer, hope to help you.

Find the unknown length x in the right triangle, to the nearest tenth .

Answers

Answer:

x = 11.7

Step-by-step explanation:

sin of an angle is opposite/hypotenuse

sin 38 = x/19

x = 19 sin 38

x = 11.7

You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.

Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question

Answers

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?

Answers

Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

What’s the scale factor (mark as brainliest)

Answers

Answer:

Its divided by 3

Step-by-step explanation:

bigger is 6, smaller is 2....shrinked by 3

Scale factor is 1/8!!!!!! Hope it helps

Jayson said, "I am thinking of two fractions that when added have a sum of 1." Which fractions could Jayson have been thinking about?

Answers

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir​

Answers

Answer:

tüm duruma (4×4×4 den 64)

(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar

(4×4×4)-(4×3×2)=40

POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN

Answers

Answer:

option 3  / hope this helps

Step-by-step explanation:

i did this test a while ago so if its wrong im sorry

Answer:

[tex] m\angle A = 40\degree[/tex]

Step-by-step explanation:

[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]

ill give brainliest if its correct

Answers

Answer:

3 pieces

Step-by-step explanation:

Given: Figure

To find: Number of 8.5 in. ×  11 in. pieces used to cover the floors  of a room and a hallway in  her dollhouse

Solution:

In the given figure, AC = 22 in.

AB + BC = 22 in.

AB + EF = 22 (As BC = EF being opposite sides of rectangle)

AB + 10 = 22

AB = 22 - 10 = 12 in.

Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches

(area of rectangle = length × breadth )

CE = CD + DE = AH + GF (As CD = AH and DE = GF)

CE = 5 + 15 = 20 inches

Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches

(BC = EF = 10 in.)

Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches

Area of pieces of felt = 8.5 × 11

So,

Number of pieces required = Total area of the figure / Area of pieces of felt  =   3 pieces

Please help! tell me which one i need to mark off

Answers

Answer:

1) c

2)a

3)a

Step-by-step explanation:

Its write i rechecked it..

mark me the brainliest

thank u

hope it helped u

hey what's
[tex] \sqrt[5]{1024} [/tex]

Answers

Hello the answer is:

4

Answer:

[tex]4 \\ \: is \: your \: answer \: mate[/tex]

I hope it helps

enjoy your day

#Captainpower|~

Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7

Answers

Answer:

Step-by-step explanation:

57.6

8v+5=1
v=_
pls help!!!

Answers

The answer is V = - 1/2. You need to subtract 5 on both sides -> 8v = 1-5 -> 8v=-4 and then divide by 8 to isolate the variable v to give you v=-1/2
v= -1/2
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)


What's the greatest ten you can multiply by 8 to get close to, but not go over 629

Answers

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue

Answers

2/3
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3

I need help quick I’ll give brainliest

Answers

Answer:

Area of circle - Area of square

radius of circle is 8m

side of squre os 12m

Step-by-step explanation:

Area of circle is pie r^2

22/7 × 8 × 8

22/ 7 × 64

= 201.14m^2

Area of square is side ^2

12 ×12

= 144m^2

hence 201.14 - 144

= 57.14m^2 is the area of shaded figure

GOOD LUCK FOR THE FUTURE! :)

Describe the process you would use to rewrite 3/4 as decimal number.

Answers

The cut out part of the picture is :
75/100= 0.75

Hopefully u can see the picture attached

round 6 3/4 to the nearst whole number​

Answers

Answer:

7

Step-by-step explanation:

do you really need one?

The answer will be 7. This is because 6 and 3/4 is written out as 6.75 and if you round that you will get 7.

Any helppp pLeAsE? T^T

Answers

answer:

c = 7.6 kilometers

step-by-step explanation:

you can use the pythagorean theorem for this since this is a right triangleknow the formula: a^2 + b^2 = c^2

now plug in what we know, also remember:

a = legb = the other legc = hypotenuse

a^2 + b^2 = c^2

3^2 + 7^2 = c^2

9 + 49 = c^2

58 = c^2

c = 7.6157

rounded: c = 7.6 kilometers

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