Find f(-3) if f(x) = x2.

Answers

Answer 1

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9


Related Questions

Is the open sentence 3z = 2z + 5 true or false when z = 5? A.True B.False

Answers

Answer:

3z = 2z + 5

when z=5

3*5=2*5+5

15=15

so true

Step-by-step explanation:

r/4 - 1.4 =1.58 what should be the first step?

Answers

Answer:

R/4 - 1.4 =1.58

R/4 = 1.58 + 1.4

R/4 =2.98

r=11.92

Step-by-step explanation:

"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?

Answers

Answer:

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex]  (we know that a+b = 15), hence the equation becomes:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex]  ----------eq 1

If we consider the largest triangle, we will see that

cos 30° = z / 15

but from our special angles (see second attachment) we know that cos 30° = (√3)/2

hence

(√3)/2 = z / 15

z = (15√3) / 2 --------eq 2

from the same largest triangle, we will also see that

sin 30° = x / 15

similarly from our special angles, we know that sin 30° = 1/2

hence,

1/2 = x/15

x = 15/2 --------eq 3

now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z

[tex]\frac{y}{x} = \frac{z}{15}[/tex]

[tex]y = x\frac{z}{15}[/tex]  (substituting the values for x and z that we found above)

y = (15/2) · [ (15√3) / 2] / 15

y = (15√3) / 4

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?

Answers

Answer:

Hey there!

A good estimation is one dollar.

2 pairs of shoes for 14 dollars= 28 dollars

29-28=1 dollars.

Hope this helps :)

Consider the following exam question and student solution. Determine whether the solution is correct. If it is not​ correct, write a note to the student explaining why it is wrong and give a correct solution. Exam​ question: You can buy a ​56 pound bag of flour for ​$9 or you can buy a​ 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student​ solution: The large bag price is 56 divided by 9=6.22 ​per​ pound, which is much more than the 39 cent per pound price of the small bag.

Answers

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

For what x values is the function positive? Select all that apply

Answers

Answer:

Option (A)

Option (D)

Step-by-step explanation:

From the graph attached,

Values of function have been plotted on y-axis for every input value of 'x' on x-axis.

Graph clearly states that the function is positive (positive y-values or y > 0) in the two intervals,

-5 < x < 0 and 3.5 < x < 5

Therefore, option (A) and Option (D) will be the correct options.

Determine whether f(x) = 3x + 1 and g(x) = (x-1) / 3 are inverses functions. Group of answer choices There are not inverses since both composition equal x. There are inverses since both composition equal x. There are inverses since both composition equal x + 1. There are not inverses since (f (g(x)) = x + 1

Answers

Answer:

They are inverses since both composition equal x.

Step-by-step explanation:

Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.

Let's look for the inverse of f(x).

Given f(x) = 3x+1

Let y = f(x) so that y = 3x+1

Replace y with x

x = 3y+1

Make y the subject of the formula of the resulting equation;

3y = x-1

y = (x-1)/3

The new function of x will be the inverse of f(x)

Hence f^-1(x) = (x-1)/3 = g(x)

Another way to check is to find their composition. Let's find f(g(x) and g(f(x)

F(g(x)) = f((x-1)/3)

Replace x with (x-1)/3 in f(x)

F(g(x)) = 3[(x-1)/3]+1

F(g(x)) = x-1+1

F(g(x)) = x

Similarly for g(f(x));

g(f(x)) = g(3x+1)

Replace x in g(x) with 3x+1

g(3x+1) = (3x+1-1)/3

g(3x+1) = 3x/3

g(3x+1) = x.

Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions

6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left? ​

Answers

She has 1/6 fabric left after she makes her dress.
Steps: You subtract 1 2/3 by 1 1/2 and get 1/6.

What is the value of x ? Enter in simplest form. X - 3/7 = 4

Answers

Answer:

[tex]x = \frac{31}{7}[/tex]

Answer:

31/7

Step-by-step explanation:

Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7

Which is the correct interpretation of the x-intercepts of the function? Their difference is the number of the most promo codes in a single day. Their sum is the total number of days the number of codes increased. Their sum is the total number of promo codes the publicist is releasing before the new record. Their difference is the number of days the first promo codes were released before the new record.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

provide brainliest plz I need that bread

Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.

Answers

Answer:

(3z + 1)(3z + 4)

Step-by-step explanation:

[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]

What is the value of f^-1(0)?



Please help! It’ll be greatly appreciated!

Answers

Answer:

[tex]f^{-1}(0)=6[/tex]

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

[tex]f^{-1}(0)[/tex]

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

[tex]f^{-1}(0)=y[/tex]

This means that we have the point:

[tex](0,y)[/tex]

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

[tex](x,0)[/tex]

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

[tex]f(6)=0[/tex]

So:

[tex]f^{-1}(0)=6[/tex]

And we're done!

What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis

Answers

Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

Simplify

(2x– 3) (5x4 – 7x3 + 6x2 – 9)



A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27

Answers

Answer: (A)=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Answer:

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

The quotient of 5 and a number, k ? Write the algebraic expression

Answers

Answer:

[tex] \frac{5}{k} [/tex]

Step-by-step explanation:

Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.

In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.

We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:

Quotient of 5 and k = [tex] \frac{5}{k} [/tex]

Which of the following is most likely the next step in the series

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to find the pattern, in this case it's 4,5,6, then 7

Hope this helps! :)

Answer:

its actualy D

Step-by-step explanation:

Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater?

Answers

Answer: 282 Feet.

Step-by-step explanation:

given data:

sea level of Death Valley California = 190 feet

Sea level of Badwater  America lowest point = 92 Feet lower than Dead valley.

Solution:

if Badwater is 92 feet lower than Death Valley,

Therefore; Badwater is 282  feet above sea level.

write in algebraic expression 15 less than the product of 2 and r

Answers

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Please help, I don't understand, please
-8+(-3)=

Answers

Answer: -11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

= -8+ -3

= -11

please solve as fast as possible...
No spams please......​

Answers

Answer:

In ∆ABD and ∆ACD

<BAD =<CAD ( each are half of <A )

<D=<D ( each equal to 90°)

AD = AD ( common)

So ∆ ABD is congruent to ∆ ACD.

Then AB =AC (by C.P.C.T)

Hence,∆ABC is an iso - sceles triangle.

is 3 by 3=9 rational or inrational and why

Answers

Answer:

KCC off KCC off off egg LLC

Answer:

rational

Step-by-step explanation:

3by3=3/3

= 1

1 is not eq. to 9

and 3/3 is 1

and 1 is rational no.

what is -5 considered as

Answers

A negative Number, Hope this helped.
A negative odd number

Find the length of each line segment or object

Answers

Answer:

1 ⁷/₈ in

Step-by-step explanation:

that is exactly 1 ⁷/₈ in

7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?

Answers

answer

212 - 147 = () times 3.75

147 × 4.25 =

add them together and that's the total amount

Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.

Answers

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

Which single transformation can be applied to the graph of y = 72Vx to produce the graph of y = 9Vx?

Answers

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Find the decimal that is equivalent to: 4/11

Answers

Answer:

0.3636 repeating

Step-by-step explanation:

When you divide them, it is 0.36363636 going on forever.

It’s 0.36 repeating

28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE

Answers

Answer:

Step-by-step explanation:

16=k

The value of k from the given equation is 16.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 28=8k+12-7k.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 28=k+12

k=28-12

k=16

Therefore, the value of k from the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Help me pleaseee

The bottom number is a 4 btw it’s 20 points ❤️

Answers

Answer: It is 20 m, multiply each number by 1.25

translate this phrase into algebraic expression 23 increased by twice gali’s score use variable g represent gali’s score

Answers

Hey there! I'm happy to help!

We have twice Gali's score, which is 2 multiplied by g, which we can write as 2g.

We increase 23 by 2g, which means, we add.

23+2g.

Have a wonderful day! :D

Answer:

23+2g

Step-by-step explanation:

Let g = gali's score

[tex]twice \:gali\: score = 2\times g\\\\= 2g[/tex]

To increase = +

[tex]23 +2g[/tex]

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