If f(x)=(x-3)^2, find f(-4)

Answers

Answer 1
Solution:Given, f(x) = (x-3)^2Therefore, f(-4) = (-4-3)^2= (-7)^2= -7 × -7= 49Answer:

f(-4) = 49.

Answer 2

49

Step-by-step explanation:

f(x) = (x - 3)²

f(-4) = (-4 - 3)²

f(-4) = (-7)²

f(-4) = 49


Related Questions

Provide the missing statement and reasons for the following proof: Given: 9(x+6)−41=75Prove: x=629

Answers

The missing statement for the proof is;

Statement 3;S3 : 9x + 54 = 116

The missing reasons for the proofs are;

R1; Given

R2; Using Addition property of inequality

R3; Distributive property

R4; Using subtraction property of inequality

R5; Using Division property of inequality

The correct question can be found at https://brainly.com/question/25052574

We are given the equation;

9(x + 6) − 41 = 75

Step 2;

Using addition property of equality, we add 41 to both sides;

9(x + 6) - 41 + 41 = 75 + 41

9(x + 6) = 116

Step 3;

Using distributive property to distribute 6 over the items in the bracket to get;

9x + 54 = 116

Step 4; Using subtraction property of equality, we subtract 54 from both sides;

      9x + 54 - 54 = 116 - 54

       9x = 62

Step 5; Using division property of equality, we divide both sides by 9 to get;

      9x/9 = 62/9

       x = 62/9

Read more at; https://brainly.com/question/25052574

Solve -4(10 + 3x) - (x + 8) = -9. Check your solution.

Answers

Answer:

x = -3

Step-by-step explanation:

Given the equation,  -4(10 + 3x) - (x + 8) = - 9:

Distribute -4 into (10x + 3x), and - 1 into (x + 8):

-4(10 + 3x) - (x + 8) = - 9

-40 -12x - x - 8 = -9

Combine like terms:

-48 - 13x = -9

Add 48 to both sides:

-48 + 48 - 13x = -9 + 48

-13x = 39

Divide both sides by -13:

[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]

x = -3

Therefore, x = -3

Please mark my answers as the Brainliest if you find my solution helpful :)

Solve[tex]\frac{2}{3}[/tex](6x+30)=5(x+4)-2x


A: 6

B: O

C: All real numbers

D: No solution

Answers

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]

Distribute 2/3 and 5 into the parentheses:

[tex]4x+20=5x+20-2x[/tex]

Combine like terms:

[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]

I hope this helps!

find the unknown angle​

Answers

Answer:

X&Y

Step-by-step explanation:

simple

very nice questions

Answer:

d: x equals 50 degrees and y equals 90 degrees

Step-by-step explanation:

thats the answer for the first one

A line passes through the points (-2,-4) and (3, 5). Which equation best represents a line
parallel to this line?
A) y = -5/9x+ 4
B) y = 9/5x + 4
C) y = 1x + 4
D) y = -4/3x + 4

Answers

parallel means they have same gradient.

m=(y2-y1)/(x2-x1)
m=(5-(-4))/(3-(-2))
m=9/5

so the answer is B since the gradient also 9/5

The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

What is the equation of line?

The general equation of a straight line is

y = mx + c,

where m is the gradient, and y = c is the value where the line cuts the y-axis.

This number c is called the intercept on the y-axis.

Now it is given that the line passes through (-2,-4) and (3,5).

So here,

x1 = -2;

y1 = -4;

x2 = 3;

y2 = 5

Hence slope of the line is given as,

m1 = (y2 - y1)/(x2 - x1)

⇒ m1 = {5-(-4)}/{3-(-2)}

⇒ m1 = (5+4)/(3+2)

⇒ m1 = 9/5

Since both the lines are parallel, hence

m1 = m2 = 9/5

Therefore equation of line parallel to the given line will be,

(y - y1) = m2( x - x1)

⇒ {y-(-4)} = 9/5{x - (-2)}

⇒ y + 4  = 9/5(x +2)

⇒ y + 4  = 9/5x + 18/5

⇒ y = 9/5x + 18/5 - 4

⇒ y = 9/5x - 2/15

Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

More about line :

https://brainly.com/question/14200719

#SPJ6

can some one pls help me fill is the square pls help​

Answers

Answer:

52, 21, 94

Step-by-step explanation:

y=3(14)+10

73=3x+10

63/3=21

y=3(28)+10

=94

#18 You withdraw $35.59
from your bank account.
Your balance is now -$20.45.
Write and solve an equation
to find out how much was
originally in your bank
account.

Answers

Answer:

$15.14

Step-by-step explanation:

-20.45+35.59 or 35.59-20.45

15.14

Which graph matches the equation ? 1 2 3 4 ? plzzzzzzzzzz help fast

Answers

Answer:

the 2nd one would be a good choice

The answer is:
Letter A.

Blake and two friends equally shared the cups of water shown in the picture.


What fraction of the cups of water did each of them drink?

A

3
6

B

5
6

C

2
6

D

4
6

Answers

the answer would be c- 2/6

there are six cups total and three (blake plus two others) friends

there are two ways you can solve this…

1. by making groups
if you look at the picture, you can split it into three groups because that is the number of people, then count how many cups there are in one group which will be your numerator for the denominator six which is the total

2. simple division
divide the total number of cups buy the number of people which is 3
you get two and follow the same process above

What is 380.5 rounded to the nearest whole number

Answers

Answer:

It will be 381. You round up if it is five and over, and round down if 5 and below.

Step-by-step explanation:

A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.

Answer:

381

Step-by-step explanation:

any number 5 and over will round up

By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?​

Answers

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

Answer:-

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Used Method :-

→ Prime Factorization Method

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.

Find the missing angle measures.

Y = 63

Z = ?

X = ?

Answers

Answer:

Step-by-step explanation:

y = 63    {Vertical angles are congruent}

y + z + 85 = 180   {Angle sum property of triangle}

36 + z + 85 = 180

      z + 121 = 180

               z = 180 - 121

z = 59

63 +  x = 130   {External angle  property of triangle}

       x   = 130 - 63

x = 67

Solve and explain: (7^-2)^3

Answers

First, do -2 x 3

and that will equal -6,

so your answer will be 7^-6

if you also want to solve 7^-6

it will be.... (Look at the photo)

>> Answer

__________

[tex] \: [/tex]

[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]

[tex] = {7}^{ - 2 \times 3} [/tex]

[tex] = {7}^{ - 6} [/tex]

[tex] = \frac{1}{ {7}^{6} } [/tex]

[tex] = \bold{\frac{1}{117.649}} [/tex]

What is the tangent ratio of angle y?

Answers

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

Using Trigonometry :

[tex] \tan(y) = \dfrac{20}{21} [/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]

The fifth term of a non liner sequence is 324.The term to term rule is multiply 3
Work out the second term of the sequence

Answers

Answer:

324 642

Step-by-step explanation:

Write an equation to represent eachrelationship. SOLVE THE EQUATION 6 less than three times a number equals eighteen.

Answers

Answer:

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Step-by-step explanation:

let the number be x

Now let us first set an equation

less than means - subtraction

3x - 6 = 18

Now let us solve the equation and find the value of x

3x - 6 = 18

Transpose

3x = 18 +6

3x = 24

x = 24 ÷ 3

x = 8

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

help please, only look at the graphic

Answers

All I know is that it is acute and less than 51 degrees

Answer:

AOB is 39 degrees.

Step-by-step explanation:

Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.

∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.

m∠DOE + m∠BOD = 141 degrees (because 51 + 90)

Therefore m∠AOB = 39 because 180 - 141 = 39

Straight angles are equal to 180! Hope this helped

How do you do this? Am I corrdct

Answers

Answer:

1/20 is the correct answer

Step-by-step explanation:

65/100 diet

30/100 caffeine

Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.

So 65 + 30 = 95

100-95 = 5

5/100 simplified is 1/20

Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.

65 + 30 = 95

What plus 95 equals 100?

95 + x = 100

Or 100 - 95 = 5

= 5/100

When 5/100 is simplified, it equals 1/20.

Trinity has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces. What is the length of each piece of ribbon?

Answers

The length of each piece be 3.25 inches.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.

Assume that the length of each piece be [x]. Then, we can write -

15x = 48.75

x = 48.75/15

x = 3.25 inches

Therefore, the length of each piece be 3.25 inches.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

find all of the zeros of
If f(x) = x3 + 13x2 + 32x + 20 and f(-10)=0
pls help with this problem !

Answers

Answer:

Step-by-step explanation:

Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.

f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20

f(x) = -1 + 13 - 32 + 20

f(x) = 0

So - 1 is also a root.

You should try -2

-2 * -10 - 1 = - 20

f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20

f(-2) =  -8 + 13 * 4 - 32(2) + 20

f(-2) = - 8 + 52 - 64 + 20

f(-2) = -72 + 72

f(-2) = 0

The zeros are

x = -10

x = -1

x = -2

what does x equal in the equation
-4(x-1) + 6x = 2(17-x)

Answers

Answer:    x = ¹⁵/₂

Step-by-step explanation:

since    -4(x-1) + 6x = 2(17-x)           [expand the bracket]

⇒         -4x +4 + 6x = 34 - 2x          [group like terms across the equal sign]

⇒      -4x + 2x + 6x = 34 - 4            [simplify like terms]

⇒                        4x = 30               [divide both sides by 4]

⇒                          x = ³⁰/₄               [simplify RHS to lowest possible fraction]

⇒                     x = ¹⁵/₂

Check:

-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))

                         19 = 19    ✅

find the equation of the straight line graph y= mx-6

Answers

Answer:

y = 1/2x - 6

Step-by-step explanation:

Key:

m = slope

b = y-intercept

Slope:

( 0 - - 6 ) / ( 12 - 0 )

( 6 ) / ( 12 )

1 / 2

y-intercept:

( -6, 0 )

Hopefully this helped!

Brainliest please?

6x – 3y = 8
7x = 5y + 2
—6у + 4х = 8
x + y = 2x + 3
DIRECTIONS:Rearrange each equation into slope-intercept form. Identify the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

The linear equation where:

[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]

Solution :

[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]      

 [tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]  

    [tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]

[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]

Need help photo above

Answers

Answer:

I think -1/3

Step-by-step explanation:

Its negative bc the line is moving from left to right

Take 2 points from the line.

At the origin, (0,0)

And (6,-2) a point in fourth quadrant

m = y2 - y1

x2 - x1

m = -2 - 0

6 - 0

m = -1/3.

The 3rd option is the correct option.

9/10 - (1/8-3/10)= please help me through steps

Answers

Answer:

43/40 or 1 3/40

Step-by-step explanation:

9/10 - (1/8 - 3/10)

Remember, we have to solve what's in the parentheses first!

To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.

Let's list the multiples of 8 and 10

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Multiples of 10: 10, 20, 30, 40, 50, 60...

We found a match! 40 is a multiple of both 8 and 10, so we can use that.

To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.

So,

8 times what equals 40?

To make it easier, we can do 40 / 8, which is 5.

That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.

If you do the same thing for 3/10, you get 12/40.

Our equation is much easier!

We can easily do 5/40 - 12/40, which is -7/40.

Now, we do 9/10 - (-7/40)

Remember, two minuses right next to each other make a plus!

Our equation is now 9/10 + 7/40.

If you do the least common multiple for 9/10, you get 36/40.

Finally, we do 36/40 + 7/40, which is 43/40.

If it's asking for a mixed number, it would be 1 3/40.

Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!

Hope this helped :)

Information: The length of a rectangle is three times the width. A new rectangle is created by decreasing the length of the original rectangle by 9 feet and increasing its width by 4 feet. The area of the new rectangle is the same as the area of the original rectangle. What is the perimeter of the new rectangle?
Help,please:(​

Answers

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

Ann makes $132 for 11 hours. At the same rate, how much would she make fo 8 hours of work

Answers

Answer: She would make $96.00

The cinema charges x dollars for an afternoon show and an additional $3.00 to
see the 3D version. Write an expression to show the cost of five regular tickets
and three 3D tickets. Simplify the expression.

Answers

Answer:

5x+3(x+3) = 5x+3x+9 = 8x+9

Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how many pails did each person sell last month.

Answers

4x +x =250
5x =250
X=(250/5)
X=50

simplify the following ??? reply me all off you ​

Answers

Answer:

29/8

You had to multiply and solve making lowest common multiple

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

Other Questions
Solve 4 x + 7) = 24. what came first chicken or egg i need a explanation did anyone do the healing power of sad songs achieve? HELPPO Plsssss helpppp me put these in order what is does it mean take message???? Look for a pattem to find the value of n Hi i need help lol pelease how did darius govern over the vast persian empire? an object down, but this is not true. If you place a box of mass 8 kg on a moving horizontal conveyor belt, the friction force of the belt acting on the bottom of the box speeds up the box. At first there is some slipping, until the speed of the box catches up to the speed of the belt, which is 5 m/s. The coefficient of kinetic friction between box and belt is 0.6. (a) How much time does it take for the box to reach this final speed 2/ Which two items would be of most interest to future generations. Give your explanation You buy tomatoes at$1.29 per pound and peppers at $3.99 per poundto make salsa. Write an expression for the totalcost of the ingredients. Then find the total cost of5 pounds of tomatoes and 2 pounds of peppers It's something that every teacher needs, every day. It keeps you organized, makes planning simple, and reminds you of homework due. It keeps you ahead of the game. It keeps you in control. Visit your local Staples for all things teaching - including the ideal notebook to fit your teaching style.https://www.redbubble.com/i/notebook/Coffee-Gives-me-Teacher-Powers-by-Yassineennajmi/91108763.WX3NH Which expression can be simplified to find the inverse of y=2x^2 In three sentences describing what someone would have seen in early/colonial Georgia use the intercepts and graph the equation x+5y=10 Angela enjoy swimming and often swims at a city pace to burn calories at this pace Angela cant swim 1700 m in 40 minutes. A: what is Angelas unit rate, this is kind of an answer but I think it is 42.5B: what is the rate unit ould twin babies born at Point D have U.S. citizenship? It would depend on the citizenship status of the babies' parents. It would depend on whether the parents move to the United States. Yes, the babies would be native U.S. citizens by the law of the blood. Yes, the babies would be native U.S. citizens by the law of the soil. Given the common elements of culture, what were likely purposes of body decorations in early cultures?A. aesthetics and classifying peopleB. language and grammarC. joking and playing gamesD. values and Sapir-Whorf I need to know 84 divided by a in long devised discuss the concept of language variation