Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.

The values are [tex]b=-20\text{ and }c=101[/tex]

The quadratic function, expressed in factored form is

[tex](x-(10+i))(x-(10-i))=g(x)[/tex]

Expanding and simplifying

[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]

since

[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]

we can equate coefficients of like-terms and conclude that

[tex]a=1,b=-20,c=101[/tex]

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Answer:

Two plus two equals sixxxxxxx

Answer:

c

Step-by-step explanation:

c will be the answer g g g t g

Answer:

18-3y.

Step-by-step explanation:

3 x 6 = 18

3 x -1y= -3y.

Answer:

18 - 3y

Step-by-step explanation:

3(6-y)

(3)(6) + (3)(-y)

18 + (-3y)

18 - 3y

Answer:

answer should be c good luck

Answer:

2

Step-by-step explanation:

We subtract both sides by 6 (3x=6)

And then we divide by 3 (x=2)

Hey there!

You have 3 x-tiles

+

6 = positive-tiles (+)

=

12 positive-tiles (+)

3x + 6 = 12

SUBTRACT 6 to BOTH SIDES

3x + 6 - 6 = 12 - 6

CANCEL out: 6 - 6 because it gives you 0

KEEP: 12 - 6 because it helps solve for the x-value

NEW EQUATION: 3x = 12 - 6

SIMPLIFY IT!

3x = 6

DIVIDE 3 to BOTH SIDES

3x/3 = 6/3

CANCEL out: 3/3 because it gives you 1

KEEP: 6/3 because it helps solve for the x-value

x = 6/3

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

divide both sides by 5

Step-by-step explanation:

y + 12 = 5

y = -7

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8

Answer:

0.326

The dot is going to move to the right which is going to be in between 3 and 2.

Then the answer will be 3.26 ×10^-1

Answer:

3.26 × 10-1 or

[tex] \frac{163}{500} [/tex]

I didnt know which one u needed

Hi,

.

[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]

.

[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]

=>

[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]

.

.

I hope it helped ✅(•‿•)

Answer:

A

Step-by-step explanation:

Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.

Answer:

I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.

Answer:

D. The hiker would climb up 46 meters

Step-by-step explanation:

It would make the negative cancel out and would make it 0. 0 is sea level

Answer:

D the hiker would climb up 46 meters.

Step-by-step explanation:

If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

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1903

pls mark brainliest

if u want

Answer:

19039

Step-by-step explanation:

hope that help mark me brinilylist

you need to explain more

it was easy

Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

Step-by-step explanation:

-33 ≤ -4x + 3

Group like terms

4x ≤ 3 + 33

4x ≤ 36

Divide both sides by 4

4/4x ≤ 36/4

x ≤ 9

Final answer: x ≤ 9

Hope this helps.

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]

Get the composite function g(h(x))

[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

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Answer:

  $8

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

Assuming no overdraft charge, her balance after depositing her earnings was ...

  -$12 +20 = $8

Sally's balance on Sunday was $8.

Per hour, they would need to add 147 quarts of the liquid ingredient. When converting to gallons, every 4 quarts is one gallon, so we need to divide 147 by 4.

36.75 Gallons Per Hour

They need to add 39 gallons of ingredients to make the production they desire.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 4 quarts are one gallon.

∴ They would be making (13/4) = 3.35 gallons every 5 minutes Or (3.25/5) = 0.65 gallons per minute.

∴ In an hour or 60 minutes, they would be making (0.65×6) = 39 gallons per hour.

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Answer:

A growth function has the following form.

where  = Original amount,

r = annual rate of change,

n = number of periods,

t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.  

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

The daily growth rate would be  

Step-by-step explanation:

Lets find year wise population for example

[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]

Time needed to type 400 words is 13.3 minutes.

A unit rate means a rate for one of something.

Given that, you are taking a typing class and can now type 30 words per minute.

For 30 word, you need 1 minute.

Let you need x minutes for 400 words,

Therefore, the proportion will be,

1/30 = x/400

x = 400/30

x= 40/3

x = 13.33333 ≈ 13.3

Hence, you need 13.3 minutes to type 400 words.

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Answer:

3/10

Step-by-step explanation:

make 3 and 1/3 to an improper fraction (3 multiplied by 3 plus 1) which is 10/3. the reciprocal is 3/10

Answer:

0.3

Step-by-step explanation:

Have a great day!

I don't understand the question your asking

Answer:  

Josh has 60% of $600 that is $360

Daniel has $320

So Josh has more by $40

5)

Bianca has 43 votes

Carlos has 38% of the 150 vote that is 57

So Carlos has 14 more votes than Bianca

Step-by-step explanation:

You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.

Answer:

Longitudinal study

Step-by-step explanation:

Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.

Answer: 20 ft.

Step-by-step explanation:

Simply multiply 5 x 4.

Answer:

20 ft`

Step by step explanation:

N/A