y+6x=11; x = -2,0, 4
Solve the equation for y.

==================================================

Explanation:

The given piecewise function is

[tex]f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}[/tex]

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations

In a sense, we have three different functions but they are combined somehow.

If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.

-----------------------

f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition

f(x) = -4x+3

f(-5) = -4(-5)+3

f(-5) = 20+3

f(-5) = 23

------------------------

Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition

f(x) = 3x^2+1

f(12) = 3(12)^2+1

f(12) = 3(144)+1

f(12) = 432+1

f(12) = 433

------------------------

Side notes:

Answer:

2/9 obvi

Step-by-step explanation:

Answer:

75 minutes

50 minutes

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

Step-by-step explanation:

Complete question below:

Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.

How many minutes will she need to finish labeling all books if If she takes no breaks and labels:

a. 10 books a minute

b. 15 books a minute

Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling

Solution

a. 10 books a minute

Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute

= 750 / 10

= 75 minutes

Number of minutes to finish labelling all books at 10 books per minute = 75 minutes

b. 15 books a minute

Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute

= 750 / 15

= 50 minutes

Number of minutes to finish labelling all books at 15 books per minute = 50 minutes

c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

Answer:

600,000

Step-by-step explanation:

I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:

5 or more raise the score

4 or less let it rest

That is what I learned.

Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!

Move the decimal point 2 spots to the right to go from 2.5 to 250%

Another example would be that 0.76 converts to 76%

Answer:

c

Step-by-step explanation:

[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have

[31 /2 ] - [11 / 4 ] - [ 20 / 3 ] getting a common denominator (12), we have

[186 / 12] - [33 / 12 ] - [ 80 / 12 ] = 73 / 12 inches = about 6.0833 inches left

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 \frac{1}{12} \: \: \: inches}}}}} [/tex]

Step-by-step explanation:

Total inches of a green ribbon = [tex] \sf{15 \frac{1}{2} }[/tex]

Finding the total inches of ribbon that she cut off

[tex] \sf{2 \frac{3}{4} + 6 \frac{2}{3} }[/tex]

Convert the mixed number into an improper fraction

[tex] \dashrightarrow{ \sf{ \frac{2 \times 4 + 3}{4} + \frac{3 \times 6 + 2}{3}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{8 + 3}{4} + \frac{18 + 2}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{11}{4} + \frac{20}{3} }}[/tex]

Take the L.C.M ( Least Common Multiple ) of 4 and 3

L.C.M = 4 and 3 = 12

[tex] \dashrightarrow{ \sf{ \frac{11 \times 3 + 20 \times 4}{12} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{33 + 80}{12}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{113}{12} }}[/tex]

Total inches of ribbon that she cut off = 113/12

Now, finding the left inches of ribbon

[tex] \sf{15 \frac{1}{2} - \frac{113}{12} }[/tex]

Convert mixed number into improper fraction

[tex] \dashrightarrow{ \sf{ \frac{15 \times 2 + 1}{2} - \frac{113}{12} }}[/tex]

[tex] \dashrightarrow {\sf{ \frac{31}{2} - \frac{113}{12} }}[/tex]

Take the L.C.M of 2 and 12 , you will get 12

[tex] \dashrightarrow{ \sf{ \frac{31 \times 6 - 113}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{186 - 113}{12}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{73}{12} }}[/tex]

Convert the improper fraction into mixed number

[tex] \dashrightarrow{ \sf{6 \frac{1}{12} }}[/tex] inches

Hope I helped!

Best regards! :D

Answer:

$400

Step-by-step explanation:

To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:

t(c) = p x (1+t)

t(c) is total cost

p is price

t is tax rate as a decimal

To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:

t(c) / (1+t) = p

408 / (1+.02) = $400

I hope this helps!

-TheBusinessMan

Answer:

It would be B

Step-by-step explanation:

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation:

Problem 1

---------------------

Explanation:

Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)

So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.

The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.

The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.

=========================================================

Problem 2

--------------------------------------

Explanation:

We'll follow the same idea as problem 1.

Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.

The term -k is the same as -1k, so the coefficient is -1

The variables this time are h,k as those are the two letters that show up.

The constants are 7 and -2 because no variables are attached to them.

=========================================================

I'll let you do the rest. If you're still stuck, then please let me know

Answer:

x=385/8 decimal form is 48.125

Step-by-step explanation:

Answer:

$2,500

Step-by-step explanation:

The amount the business pay in interest can be calculated using the sinple interest formula as shown:

Simple Interest = Principal × Rate × Time/100

Given Principal = $100,000 (Loan)

Rate = 10%

Time (in years) = 3months = 3/12 years

Substituting the parameters into the formula we will have;

SI = 100,000×10×3/12×100

SI = 1000×30/12

SI = 30,000/12

SI = $2,500

Therefore the business pays an interest of $2,500

Answer:

x=7

Step-by-step explanation:

subtracting 3 from both sides, you get x=7.

Answer:

(2/3)x = -11

x = -33/2

Step-by-step explanation:

2/3 of a number is -11.

Let the unknown number be x.

2/3 of x is -11.

(2/3)x = -11

Multiply both sides by 3/2.

(3/2)(2/3)x = (3/2)(-11/1)

x = -33/2

Answer:

(f+g) (x)=x^2+4x-4

Step-by-step explanation:

add them together

f(x)+g(x)

14x+1+x^2-5

x^2+4x-4

(f+g)(x)+x^2+4x-4

Answer:

3^-5

Step-by-step explanation:

Whenever you multiply exponents, you add the values. Negative two plus negative three results in an answer of negative five. This will be the power. You will end up with 3^-5 as your answer.

Answer:

D(1, -2)

E(3, -4)

Answer:

tanx

Step-by-step explanation:

tan=TOA

opp/adj

x=p/r

Answer:

8

Step-by-step explanation:

total paid: $135.95

cost of gloves: $15.95

amount for classes: $135.95 - $15.95 = $120

cost of each class: $15

number of classes: $120/$15 = 8

Answer: 8 classes

Answer:

P-2L/2= w

P subtract 2L divided by 2 will give u the width

Step-by-step explanation:

Answer:

p

Step-by-step explanation:

p=2w+2l

p -2w=2l

2l=p -2w

divide both sides by 2

l=1/2p-w

Answer:

422,500

Step-by-step explanation:

Since ^2 is comman

(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2

= 650^2

=422,500

Hope this is correct plzz mark brainliest

Answer:

To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.

Hey there! I'm happy to help!

Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!

If we plug this into our calculators...

√138≈11.74734

We see that is closest to B. 12 ft.

You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.

Have a wonderful day! :D

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

[tex]A=\pi r^2[/tex]

[tex]\dfrac{A}{r^2}=\pi [/tex]

[tex]Ar^{-2}=\pi [/tex]

Now, using [tex]Ar^{-2}[/tex] expression, we can find the value of π.

[tex]\pi=50.265904(4)^{-2}[/tex]

[tex]\pi=\dfrac{50.265904}{4^2}[/tex]

[tex]\pi=\dfrac{50.265904}{16}[/tex]

[tex]\pi=3.141619[/tex]

Approximate the value to the nearest thousandth (three digits after decimal).

[tex]\pi\approx 3.142[/tex]

Therefore, the approximated value of π is 3.142.

Answer:

1508.6

Step-by-step explanation:

circumference=2πr

=2×22/7×240

=1508.57

=1508.6

Answer:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

Step-by-step explanation:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

Answer:

Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Answer:

34:103

Step-by-step explanation:

Add up all the numbers and then put gold then : then the numbers added up

A proportion exists an equation that sets two ratios at the same value.

34 : 103 exists the ratio of gold medals to the total number of medals that the team won 103.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. A ratio is a comparison between two values. A ratio is created when two ratios are equal.

If a ratio depicts the same relationship, it is proportionate. Two ratios can be written as fractions and then reduced to determine if they are proportionate to one another. You have proportionate ratios if the reduced fractions are equal.

Use ratios to compare two things.

The formula for the ratio of any two quantities is expressed as

a : b ⇒ a/b.

On the other hand, the proportional formula is

a : b :: c : d ⟶ ab = cd

a : b :: c : d ⟶ ab = cd

Types of proportion

34 : 103 exists the ratio of gold medals to the total number of medals that the team won 34 + 30 + 39 = 103

Add up all the numbers and then put gold then : then the numbers added up

To learn more about ratio and proportions, refer to:

https://brainly.com/question/12024093

#SPJ2