need help with these questions

Need Help With These Questions

Answers

Answer 1

Step-by-step explanation:

these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.

the advantage of factorization is to see the 2 solutions for y=0 right away.

the general form is

y = (x + a)(x + b)

and the y=0 solutions are then simply x = -a and x = -b.

in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.

that makes the factorization :

y = (x - 1)(x - 5)

when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.

in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).

it is seemingly at x = -2.

since both solutions are equal, we have also two equal factors.

that makes the factorization

y = (x + 2)(x + 2) = (x + 2)²


Related Questions

Roger’s office building has a $320,000 value, a 2 rating, and a B building classification. The contents in the building are valued at $105,000. Calculate his total annual premium.

Answers

Answer:

2,230

Step-by-step explanation:

I will give Brainliesttttt :D!

A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).

Based on the graph, what is this car's gas mileage? Explain.​

Answers

Answer:

20 mpg

Step-by-step explanation:

Answer:

The car is traveling 20 miles per gallon.

Step-by-step explanation:

There are two ways you can solve this.

1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.

2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.

Hope this helped and have a great day!

Solve the equation 3x - 2(x + 1) = 2x - 7

Answers

Answer:

X=5

Step-by-step explanation:

Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs

Answer:

X = 5

Remember, x has a hidden one behind it, so it would be 1x

3x - 2(x + 1) = 2x - 7

Use the distributive property to multiply −2 by x+1.

3x−2x−2=2x−7

Combine 3x and −2x to get x

x−2=2x−7

Subtract 2x from both sides

x−2−2x=−7

Combine x and −2x to get −x

−x−2=−7

Add 2 to both sides

−x=−7+2

Add −7 and 2 to get −5

−x=−5

multiply both sides by -1

x=5

can someone heelp me plz plz

Answers

Answer:

d)fluid ounce may be right answer

Are the expressions 0.85b-0.2b and 0.65b equivalent?

Answers

Hello!

0.85b-0.2b

0.65b

0.65b=0.65b

So these expressions are equivalent.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

what would be the volume of the cone that has the same measurement as the cylinder above in the pic

do the working also ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Volume of cone will be ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:  \: \colorbox{white}{=}  \:  \:  \:   + \colorbox{white}{462 \: cm³ }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the volume of cone with ~

radius (r) = 7 cm

height (h) = 9 cm

And as we know, volume of cone is equal to ~

[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]

now, let's plug in the values and find the volume ~

[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex]

[tex]1 \times 22 \times 7 \times 3[/tex]

[tex]462 \: \: {cm}^{3} [/tex]

Volume of cone is 462 cm³ = 462 ml

A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer:

total marbles;12

after drawing red total counts are 7 red and 4 white       11 in total

probabilities are 4/11

5/8 x 3 1/4 using cancellation

Answers

Answer: 65/32

Step-by-step explanation:

if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.

Answers

Answer:yes

Step-by-step explanation:

Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%

2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?

Answers

Answer:

1 11/12 cups of water

Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser ​

Answers

Answer:

(a) - no, (b) - yes

Step-by-step explanation:

Use equation and compare results:

d² = a² + b²

(a)

10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no

(b)

15.31² = 14.4² + 5.2²234.4 = 234.4, yes

#a

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]

[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]

[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]

No

#b

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]

[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]

[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]

Yes

In year one the population of rabbits is 100. In year three the population is 300. Assuming the population is to go unchecked and is linear what will be the population in year 10? Construct a formula for this.

Answers

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

Solve | x+4| -5=6
A. x= -7 and = -15
B = 7 and = -7
C. x = 7 and = -15
D. x = -7 and = 15

Answers

Answer:

b

Step-by-step explanation:

IMG World of Adventures sold 350 children's tickets last month . If this made up 12.5% of its yearly children's ticket sales, how many children's tickets did IMG World of Adventures sell all year? (WRITE ONLY THE NUMBER)

Answers

I'm sorry if I'm wrong

a.Donkey Kong is an arcade game where an animated figure, Mario, jumps over barrels. In the original game, it was virtually impossible to get through to Level 22 before Mario was ‘killed’ by the game. This was an unintended consequence of how the number of bonus points was calculated and stored.

The number of bonus points a player starts with when they move onto a new level depends on the number of the level that they are moving onto. Behind the scenes, Donkey Kong takes the level that is about to be entered, multiplies it by 10 and adds 40, thus yielding the first two digits of the player’s starting bonus.

So, for example, if a player is about to start Level 2, the bonus number is calculated like this:

2 × 10 + 40 = 60.

This bonus number is stored in a single byte as an unsigned integer. The bonus number will never be 0.

i.Write down and evaluate an expression for the number of different unsigned integers that can be represented in a single byte. Then write down the largest unsigned integer that can be represented if no representation for 0 is required.
ii.Find the bonus number associated with Level 22. Explain why storing this bonus number will cause a problem.
iii.For Level 22, the bonus number actually stored is 4. Give one likely explanation for this.
iv.The bonus number is multiplied by 100 before it is displayed on the screen, so for Level 22 the number displayed on the screen is 400. The displayed number decreases by 100 every 1.75 seconds. When the displayed number reaches 0, Mario is automatically killed. How many seconds does the player have to finish Level 22?

Answers

Answer: what is the Question?

Step-by-step explanation:

Needing to find the answer to this question attached. Thank you

Answers

[tex]\sin \theta -1 =0\\\\\ \implies \sin \theta = 1\\\\ \implies \theta = \dfrac{\pi}2 + 2\pi n\\\\\text{For n =0,}\\\\\theta = \dfrac{\pi}2[/tex]

The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length?

Answers

Answer:

l=13in

Step-by-step explanation:

hope this helps

Answer:

13

Step-by-step explanation:

(40-7*2)/2=20-7=13

Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?

Pls answer will give brainiest

Answers

Answer:

6 dollars and 4 cents

Step-by-step explanation:

What is the product?
(Y^2+3Y+7)(8y^2+y+1​

Answers

Answer:

8y⁴+25y³+60y²+10y+7

Step-by-step explanation:

8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7

8y⁴+25y³+60y²+10y+7

Answer:

8y^4+25y^3+60y^2+10y+7

Step-by-step explanation:

(y^2+3y+7)(8y^2+y+1)

We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)

8y^4+y^3+y^2

now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))

24y^3+3y^2+3y

now we do the same to the last term, 7.

56y^2+7y+7

now we need to add all three of our products together

(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)

adding like terms:

8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7

we get:

8y^4+25y^3+60y^2+10y+7

15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?

Answers

Answer:

A=24, B=40, P=60

Step-by-step explanation:

given:

P+A+B=124

2P+B=160

P+2A+2B=188

___________

P=188-2A-2B

P=124-A-B

188-2A-2B=124-A-B

188-A-B=124

188=124+A+B

A+B=64

___

P+A+B=124

P=60

___

2P+B=160

120+B=160

B=40

___

A+B=64

A=24

___

If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.

Given (x – 7)2 = 36, select the values of x.

x = 13

x = 1

x = –29

x = 42

Answers

Answer:

x = 13 and x = 1

Step-by-step explanation:

(x-7)² = 36

simplify left side of equation

x² - 14x + 49 = 36

Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides

x² - 14x + 13 = 0

we then factor the left side of the equation

( x - 1 ) ( x - 13 ) = 0

we then set factors equal to 0 and solve both factors for x

x - 1 = 0

add 1 to both sides

x = 1

x - 13 = 0

add 13 to both sides

x = 13

The values of x are x = 13 and x = 1

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided

Answers

Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.

First thing to do is to add up the numbers in the ratio:

= 1 + 2 + 0.5

= 3.5

The amount that Zach invested is:

= Zach's ration/ Sum of ratio x Amount invested

= 1 / 3.5 x 360,000

= $102,857.14

In conclusion, Zach invested $102,857.14.

Find out more at https://brainly.com/question/17061956.

f(x-1)=3x²-7x+8, find f(x)​

Answers

Answer:

  f(x) = 3x² -x +4

Step-by-step explanation:

Use (x+1) for x and simplify.

  f((x+1) -1) = 3(x +1)² -7(x +1) +8

  f(x) = 3(x² +2x +1) -7x -7 +8

  f(x) = 3x² -x +4

Can someone pls help me!!! I really need it pls :)

Answers

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

anna is 5ft tall and has a shadow that is 3ft long. she is standing next to the stop sign if the sign’s shadow is 4.5 ft long how tall is the stop sign

Answers

Answer:

6.5 feet

Step-by-step explanation:

Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.

consider the system of equations. which shows an equivalent system of equations?
see attatched

Answers

Answer:

A.

Step-by-step explanation:

All choices show the first original equation.

Each choice shows a different second equation.

Take the second original equation:

6x + 5y = 30

Multiply both sides by -5.

-30x - 25y = -150

Answer: A.

Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.

Answers

14x4,5÷100=0,63

14+0,63=14,63

how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30 ​

Answers

Answer:

That is the final product

Step-by-step explanation:

According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.

Alexander is a car salesman. He earns 7% in commission each week. Last week, he sold $164,000 worth of cars. How much did he make last week in commission?

Answers

Answer:

$11,480

Step-by-step explanation:

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