Evaluate
f(x) = 3x + 10 over the domain {0, 6, 12, 24}.What is the range of f(x)?

Answer:

Presumably you're solving for x here?  Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]

let's solve it.  First we'll multiply both sides by five, making the first term a perfect square:

[tex]25x^2 - 10x - 10 = 0\\[/tex]

Now we'll add 11 to both sides:

[tex]25x^2 - 10x + 1 = 11\\[/tex]

Which makes the left side a perfect square:

[tex](5x - 1)^2 = 11[/tex]

And now we can solve for x:

[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex]             [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]

Answer:

situation 1 is (80%)

situation 2 is (95%)

situation 3 is  (33 1/3%)

situation 4 is (15%)

Answer:

Step-by-step explanation:

1.A

2.C

3.D

4.C

5.B

6.D

if these are wrong just do the flipped sign version so that would be

1.B

2.D

3.C

4.D

5.A

6.C

Answer:

z1 = -17 + 0i

Step-by-step explanation:

Given the complex number z1 ​ =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;

Since cos(π) = -1 and sin(π) = 0, the equation becomes;

z1 ​ =17[cos(π)+isin(π)]

z1 ​ =17[(-1)+i(0)]

z1 = 17(-1 + 0i)

z1 = -17 + 0i

Hence the complex number in rectangular form is expressed as z1 = -17 + 0i

Answer:

Number of men= 13.99 = 14

Step-by-step explanation:

Giving the following information:

There are 49 female performers in a dance recital. The ratio of men to women is 2:7.

First, we determine the proportion of men to women:

Proportion men to women= 2/7= 0.2857

Now, we calculate the number of men in the show:

Number of men= 0.2857*49

Number of men= 13.99 = 14

Answer:

hello there

ok so the answer is 4 + [tex]\frac{4}{3x}[/tex]

Step-by-step explanation:

hope this helps!

Answer:

12x+4

Step-by-step explanation:

We can solve this by using PEMDAS (parentheses exponents multiplication division addition subtraction) to solve this in the correct order:

4+8÷2x (6-3)

So first we solve (6-3) since it’s in parentheses:

4+8÷2x (3)

Now we multiply 3 times 8/2x:

4+8/2x(3)

4+12x

(Put in order)

12x+4

And that^ is the answer because we cannot simplify any further!

Hope this helps :)

Answer:

54.23

Step-by-step explanation:

If that not a choice simpfly

Answer:

x = 2

y = -1

Step-by-step explanation:

8x + 2y = 14

2x + y = 3

In order to find the number x represents, you have to make the number of y for both equations the same. So:

8x + 2y = 14

(×2) 4x + 2y = 6 (×2)

Then, you can cancel the y off both equations, which will leave:

8x = 14

4x = 6

To find 4x, you have to find the difference between both equations, so you have to:

14 - 6 = 8

Now that the actual number 4x represents is 8, so:

4x = 8

(÷4) x = 2 (÷4)

Now to find y, substitute the letter x with 2:

2x + y = 3

2 (2) + y = 3

4 + y = 3

4 - 3 = -y

1 = -y

(× -) -1 = y (× -)

Answer: x = 2

              y = -1

Hope this helps!  :)

(NOTE: Do you mind marking me as Brainliest?)

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

Answer: 26; 1x + 3y

Step-by-step explanation:

a. The number of points that Madison would score in a game if she made 8 free throws (worth one point each) and 6 three point shots would be:

= 8(1) + 6(3)

= 8 + 18

= 26 points

The number of points that Madison would score in a game if she made x free throws and y three point shots would be:

= 1(x) + 3(y)

= x + 3y

Answer:

26  and 1x+3y

Step-by-step explanation:

26  and 1x+3y

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

He bought 10 pounds of Golden apples and 20 pounds of Fuji apples

which costs him $20 and $60.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Let Fuji apples be F and Golden apples be G.

In total, he bought 30 pounds of apples.

∴ F + G = 30...(i)

And,

He bought 3 pounds of Fuji apples and 2 pounds of Golden apples.

3F + 2G = 80...(ii)

Now, multiplying eqn(i) by 3 and subtracting from (ii) we get G = 10 and hence F = 20.

So, he bought 10 pounds of Golden apples and 20 pounds of Fuji apples

which costs him $20 and $60.

learn more about linear equations here :

https://brainly.com/question/14056312

#SPJ2

Answer:

Step-by-step explanation:

Number of compounds:

Saving amount at the end of 2 years:

Answer: 2 Math books and 6 English books

Answer:

The original cost of the product was $35.68.

Step-by-step explanation:

As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:

65 = 23

100 = X

((100 x 23) / 65) = X

2,300 / 65 = X

35.68 = X

Therefore, the initial value of the product was $ 35.68.

Answer:

(2,3) function

(1,9) not

(7, 4) function

(0,3) not

(-6,5) function

Answer:

-5x + 4

Step-by-step explanation:

Answer:

4 over 1 is the slope. of this table

Answer:

4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, 6)

(- 1, 2)

m = [tex]\frac{2-6}{-1-0}[/tex] = 4

y = 4x + 6

Answer:

Slope = 3/4

Step-by-step explanation:

sorry it’s late. Pls give brainliest.

Answer:

The maximum value of the function is 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

C. 2

Step-by-step explanation:

(-8(17-12)/(-2(8-(-2) = 2

Answer:

8 Green beads

Step-by-step explanation:

12 divided by 3 = 4

4 times 2 = 8

Answer:

7. Option B:40 is the correct answer.

8. Option D: y = 40x+75 is the correct answer.

Step-by-step explanation:

Given that:

Charges per hour = $40

Fee charged by repairman = $75

x = number of hours

y = total fee

According to given statement;

y = 40x+75

The standard equation is

y = mx + b

On comparing;

Slope of the line is given by m, therefore

Slope = m = 40

Hence,

7. Option B:40 is the correct answer.

8. Option D: y = 40x+75 is the correct answer.

Answer:

I believe it would be A, 1/2

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

Answer:

I believe its D

Step-by-step explanation:

its the same line just 10 units down, meaning it would be parallel and pass thru that point.

Answer:

I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x

Step-by-step explanation:

Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x

Hope this helps you ace the test!!! :)

Good luck!!!      

Answer:

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

Step-by-step explanation:

Let [tex](x,y)[/tex] be an ordered pair, where [tex]x[/tex] corresponds to an element of the domain and [tex]y[/tex], an element of the range. Hence, the range of the set of ordered pair are:

[tex]Y =\{-1,-7,-11,-15\}[/tex]

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

Answer:

Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]

Vertex: (4, -2)

Step-by-step explanation:

Hello!

We have to complete the square, and then simplify.

The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]

The vertex is (4,-2)

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.