How do you find function f for piecewise function.

Answers

Answer 1

Answer:

The f(x) is equal to whatever is on the right side of the piecewise functions, as long as the conditions for x are met.

Step-by-step explanation:

An example has been attached

-- Gage Millar, Algebra 1/2 tutor

How Do You Find Function F For Piecewise Function.

Related Questions

What is the base of the expression 6^-4?

Answers

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the other leg, and round to the nearest tenth of an inch.

Answers

Answer:

Use Pythagorean theorm.

a^2 + b^2 = c^2 (c is hypotenuse).

Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.

We will say A is the "other leg" we know, which is 6.

6^2 + b^2 = (5+b)^2

We get b = 1.1

Write an equation in slope-intercept form for the line passing through the two points (0,-2) and (3,0)

Answers

Answer:

y = (2/3)x - 2

Step-by-step explanation:

This problem is interesting in that both the x- and the y-intercepts are given.  The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:

y = mx - 2.  The x-intercept is (3, 0), so we know that y = 0 when x = 3:

0 = m(3) - 2

This latter result must be solved for m:  3m = 2, or m = 2/3.

Then the desired equation is y = (2/3)x - 2.

The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2

Answers

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

hey does anyone know the answer to this equation​

Answers

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3

x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0

x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3

The values of y that complete the table are

- 3, 0, 3 → C

A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?

Answers

Answer:

about 14 to 15 hours if it burns at that speed while it is burning

Answer:

17.5

Step-by-step explanation:

parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answers

Answer:

y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is

y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

Help please just this whoever answers correctly I will mark brainliest

3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.

B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.​

Answers

Answer:

10: (10×0.15)+3.50:$5

15: (15×0.15)+3.50:$5.75

20:(20×0.15)+3.50: $6.50

25:(25×0.15)+3.50: $7.25

Answer:

10 days: $5 fee

15 days: $5.75 fee

20 days: $6.5 fee

25 days: $7.25 fee

Step-by-step explanation:

General Formula

Total fee = 3.5 + days late x 0.15

------

Total fee for 10 days = 3.5 + 10*0.15 = 5

Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75

Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5

coordinates for the answers:

Since days is the x axis and y axis is the fee then

(10, 5)

(15, 5.75)

(20, 6.5)

(25, 7.25)

[tex]\sf 45-4x=75-6x[/tex]

Answers

[tex]\sf \longmapsto45 - 4x = 75 - 6x[/tex]

[tex]\sf \longmapsto45 - 75 =- 6x + 4x[/tex]

[tex]\sf \longmapsto -30 =- 2x[/tex]

[tex] \sf \longmapsto \frac{ 30}{2} = x [/tex]

[tex]\sf \longmapsto 15 = x[/tex]

[tex]\sf \longmapsto \: x ≈15[/tex]

=> 45 - 4x = 75 - 6x

=> 45 - 75 = -6x + 4x

=> -30 = -2x

=> x = 30/2

=> x = 15

help will give brainliest

Answers

Answer: the answer is line 2

Step-by-step explanation:

He gave the cashier $14.22 and received $2.63 in change. How much did the duffel bag cost?

Answers

Answer:

$11.59

Step-by-step explanation:

14.22-2.3=11.59

also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"

Can someone please help me on this would be appreciated

Answers

Answer:

16°

Step-by-step explanation:

According to diagram we have:

∠FLH ≅ ∠LMK, corresponding angles∠LMK ≅ ∠GMJ, vertical angles∠IMJ ≅ ∠KMH, vertical angles∠H ≅ ∠IMJ, corresponding angles

Now:

m∠FLH = m∠LMK = m∠GMJm∠GMJ = m∠GMI + m∠IMJ 3x + 6 = 3x - 10 + 2x2x = 6 + 102x = 16x = 8

Find the measure of angle H:

m∠H = m∠IMJ = 2x = 2*8 = 16

3850 times a 1.3% interest rate for 6 years

Answers

"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850

radius of a circle with 11,304 circuference

Answers

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.

(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?

Answers

Answer:

$1,104

Step-by-step explanation:

If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.

Answer:[tex] \rightarrow [/tex] The S.P or sale price of the article is $1,104.

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

Solution:

[tex] \rightarrow [/tex] 1,200 x (100% - 8%)

[tex] \rightarrow [/tex] = 1,200 x 0.92

[tex] \rightarrow [/tex] = 1,104

Which of the following lists of ordered pairs is a function?
A. (0,4),(1,2).(1,0). (2,3)
B. (1,7).(2,5),(3,6), (4,1)
C. (3,-2).(2-1).(3,4),(4,7)
D. (2,5), (3,8). (4, 11),(4,12)​

Answers

Answer:

B

Step-by-step explanation:

When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.

Hope this helps!!

Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

75/4

Step-by-step explanation:

b+2/3=11/4

3b+2/3=11/4

3b+2=11×3/4

3b=33-2/4

3b=33-8/4

3b=25/4

b=25×3/4

b=75/4

The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

b + 2/3 = 1 ¹/₄

Convert the mixed fraction into a fraction number, then we have

b + 2/3 = 5/4

Simplify the equation, then we have

b = 5/4 - 2/3

b = 7/12

The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Your family went out to dinner. They spent $60.45 on dinner, 7% tax, and on top of both costs they left an 18% tip. How much total did her family pay for dinner?

Answers

Answer:

The answer is $75.56 total for the family payings.

Step-by-step explanation:

First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56!  Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3

The difference of two numbers is 3. Their sum is - 24. Find the numbers.

Answers

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!


A grocery store buys cashews for
$8 per pound. The store wants to
markup the price by 20%. Which
expression below could be used to
find the new price of the cashews

Answers

Answer:

9.6

Step-by-step explanation:

20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6

3) Solve this system using elimination method. Upload your work
8x + 14 y = 4
-6x - 7y=-10

Answers

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

solve the mean of 4,5,3,4,3,1

Answers

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Help me I really don’t understand this and I can’t fail please just please help I will mark brainliest

Answers

Answer:this question is confusing but it's probably the last one, must be the one passing through

x=1

y=-1

Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)

Answers

Answer:

D

Step-by-step explanation:

move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)

HELPPP.!!!

Answer choices:

−y ≥ x + 4
−3x + 3y ≤ −9

−y ≤ 3x + 4
−3x + 3y ≤ −9

y ≤ −x − 4
−x − y ≤ − 4

y ≤ −x + 4
−4x + 4y ≤ 16

Answers

Step-by-step explanation:

the second option.

you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).

the slope is always the factor of x in an equation of

y = ax + b

the only equation provided in the answer options with slope -3 is

-y <= 3x + 4

because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :

y >= -3x - 4

there you have it. no other equation here can be transformed into this.

as a control we also look at the second equation :

-3x + 3y <= -9

3y <= 3x - 9

y <= x - 3

this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.

so, it is all correct.

Divide 35 in the ratio 3:2

Answers

i’m pretty sure it’s 18:12

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

hopefully it's help

Solve the equation 6 - 6x = 5x - 9x -2

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:
x=4
Explanation:
6+2=5x-9x+6x
8=2x

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.

Answers

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

A right angle triangle has the longest side as the hypotenus which is also the diagonal.

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?

Answers

Answer: 35 bran muffins can be made with 2 1/3 cups of flour.

leave a thanks if helped pls <3

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