Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4

Answers

Answer 1

Answer:

2 2 y = a x 2 + b x + c ; a ≠ 0 2

Step-by-step explanation:


Related Questions

Evaluate -8x+5-2x-4+5x

Answers

Answer:

The value of the expression is - 9.

Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.

Step-by-step explanation:

x = 2

- 8x + 5 - 2x - 4 + 5x

= - 8x - 2x + 5x + 5 - 4

= - 10x + 5x + 1

= - 5x + 1

= - 5 ( 2 ) + 1

= - 10 + 1

= - 9

Evaluate the expression 6^2-(8–4^2+7

Answers

6² - (8-4)²+7 = ?= 6² - (4)²+7= 36 - 16+7= 20+7= 27

please mark this answer as brainlist

The value of given expression is 27.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 6²-(8-4)²+7.

Here, 6²-(8-4)²+7

= 6²-(4)²+7

= 36-16+7

= 20+7

= 27

Therefore, the value of given expression is 27.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

PLEASEE I NEEEDDD HELPPPPPP

Answers

Answer:

make a chart and it will be easy for you

Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?

make it look like a seventh grader wrote it please

Answers

Which number? I don’t see a number

4% of 50
Percent of a quantity
M

Answers

Answer:

4% of 50 is 2

Step-by-step explanation:

Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.

Answers

Answer:

Here are the answers for the whole QC for CA students.

1. C

2. A

3. no

4. c

5. A

Step-by-step explanation:

Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answers

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer:

y = 3x + 3

Step-by-step explanation:

As per given table we have ordered pairs:

(1, 6), (2, 9), (3, 12), (4, 15)

Find the slope and y- intercept to work out the equation.

y = mx + b

The slope:

m = (9 - 6)/(2 - 1) = 3/1 = 3

The y -intercept:

6 = 3*1 + b6 = 3 + bb = 3

The equation is:

y = 3x + 3

The graph is attached

lim┬(x→1)⁡〖(1-√x)/(x^2-1)〗

Answers

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]

Wow very good answer

What’s the greatest common factor of (280, 168)

Answers

Answer:

Greatest common factor of 280 and 168 is 56

-NULL

Brainliest will be appreciated thank you!

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty

Answers

Answer:

40%

Step-by-step explanation:


(Score for Question 2: of 5 points)
2. Consider the function f(x)= xº + 2x² – 3 .
(a) Graph the function.
(b) What are the x- and y-intercepts of the graph?
Answer:

Answers

Answer:

(-1,0) (0,-2) (1,0)

Step-by-step explanation:

the function crosses the axis in this 3 points

Ha car drove 200 miles at a speed of 107.0534 miles per hour how long would it take?​

Answers

Answer:

1.86822

Step-by-step explanation:

take the 200 miles and devide the traveling speed

Find cos 30 in terms of cos 0

Answers

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

Which equation does NOT have like terms to collect?

Answers

Answer:

15t+9r=2

Step-by-step explanation:

the terms which are the variables are not the same on any part of the equation

help plshddjjdhdjjdjdjdh

Answers

It’s not c. It’s A. X=3. Pls mark brainliest.

The volume of the cube shown below is 1000 cm". What is the length side, x of the cube in centimeters?
resnanse)

Answers

Answer: x = 10

Step-by-step explanation:

The formula to find the volume of a cube is as following:

V = x³

Since we already know the volume, let's substitute it in the formula.

1000 = x³

To find x, we should do the cube root on each side.

∛1000 = ∛x³

x = 10

1.0286 as a fraction

Answers

Answer:

1  143 /5000

Step-by-step explanation:

Hi ppl of brainly. I need some help with my math assignment. explain if u can (if u can't, that's okay ) if you dont know it. please dont answer it. if u have any questions about the question, please drop in a comment!

Answers

Answer:

17.156

Step-by-step explanation:

A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.

Answer:

C. 17.156

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].

Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.

- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.

Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Brainliest! Brainliest..ans.

Answers

Here we need to Prove that ,

[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Lets start with LHS , which is ,

[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]

We know that ,

[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]

• So that ,

[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]

Hence ,

[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider LHS:

[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]

As we know that:

[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]

We get:

[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]

We can also write it as:

[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]

We know that:

[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]

We get:

[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]

[tex]\sf= x^{0}[/tex]

[tex]\sf=1[/tex]

[tex]\textsf{= RHS}\\[/tex]

x cube + 1 ÷ x squared -x+1

Answers

Hey, here it is!!!!

Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?

Answers

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.

Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.)

Linear Equation:
 
In the year 2008, tuition will be ($ )per credit hour.

In the year( ) , tuition will be $317 per credit hour

Answers

Answer:

72 is the correct answer

Answer:

I believe 72 is the correct answer

Step-by-step explanation:

HELP HURRY SUBTRACTION

Answers

Answer:

408, 250, and 4055 hope this helps

To save for retirement at age 27 you start depositing $275 at the end of each month in an IRA that pays 5.75% compounded monthly.

How much will you have in the IRA if you plan to retire at 65?

I need also to find the interest. ​

Answers

Answer:

81972

Step-by-step explanation:

Help this help

ive been stuck for so long. pls help

Answers

Answer:

B

Step-by-step explanation:

Might be C, but I hope it helps

HW
Example 7: While chasing the Joker, the Batmobile was traveling at 120 miles per hour. The
Joker's get-away car was traveling at 176 feet per second. Who was traveling faster, Batman or the
Joker? Explain your answer.


Answers

Answer:

this is a trick question 176 fps is equal to 120 mph

so 120=120

What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа

slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od

Answers

slope 123 this is confusing sordy bae

3x^2-24x+48 pls help me

Answers

Answer:

This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.

Step-by-step explanation:

Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:

x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4

If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4

A salesperson earns an income of $600 per week aus an dditional 5% commission on her total sales for that weck a. Write an equation that models the Salespersons total weekly income. b. What would be the salespersons income if her total sales were $10.000 that week? c. How much would a salesperson have to sell to have a $2000 weekly​

Answers

The answer is .I took the test so thats the answer

19. As part of a cookie recipe, you mix cup of chocolate chips for every 1 cups of
sugar. How much chocolate chips do you need if you use a whole cup of sugar?

Answers

Answer: 1 cup

Step-by-step explanation: they have a 1:1 ratio

Answer:

1

Step-by-step explanation:

If you have 1 cup of chocolate chips for every 1 cup of sugar, that is a 1:1 ratio

A whole cup of sugar is equal to 1 cup of sugar

Therefore, you will have 1 cup of choloate chips for the whole cup of sugar

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