WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:

Answers

Answer 1

Answer:

[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]

Step-by-step explanation:

You can find the first function if you know the general form of a line:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.

So in the first case the slope is 1 because the next formula

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]

And you can find the interception point if extend the line, then in our case is 3.

So the function is:

[tex]f(x) = x + 5[/tex]

In the other case is constant function that's mean that the function has the next form

[tex]f(x) = k[/tex]

Where [tex]k[/tex] is a constant.

So you only have to observe what is the value for each point in the interval, in this occasion is 5.

So the final answer is:

[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]

Related Questions

Let p=x^2+6. Which equation is equivalent to (x^2 + 6)^2 - 21 = 4x^2 + 24 in terms of p?

Answers

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2 - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?

Answers

Answer:

Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)

Step-by-step explanation:

For the given data it will take 8.69 days for 80% of the material to decay.

What is half-life?

A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.

It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.

N₀ = 65 milligrams

t1/2=27.7 days

N(t)=0.8(65 milligrams)=52 milligrams

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]

Here,

N(t) is the amount of the substance remaining

N₀ is the initial substance amount

t is the time elapsed

t1/2 is the half-life

Substitute the given values,

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]

[tex]t = 8.69 \ days[/tex]

Thus, for the given data it will take 8.69 days for 80% of the material to decay.

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Solve the equation.
-9x + 1 = -x + 17

Answers

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

need help with this :)))))))

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Answer:

Step-by-step explanation:

For Triangles to be similar, there have to be a corresponding length and angle

What decimal is 0.77 %

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Answer:

0.0077

Step-by-step explanation:

im giving brainliest to who ever needs it

Answers

Answer:

heck ya

Step-by-step explanation:

Hey, thanks for doing this.

Find the surface area of this cubiod

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Answer:

surface area is 2(lb + bh + lh)

I think this is the right formula

Answer:

Total surface area = 62 cm^2.

Step-by-step explanation:

There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.

There are 2 faces each of area 10, = 20 cm^2.

There are 2 faces each of area 15, = 30 cm^2.

12 + 20 + 30 = 62 cm^2.

Find a formula for the inverse of the following function, if possible.

[tex]P(x) = 3\sqrt[3]{x} - 1[/tex]

[tex]P^{-1}(x) = \\\\[/tex]

or does not have an inverse function

Answers

to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so

[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]

what is 1/2 divided by 75.096868

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Answer:

Step-by-step explanation:

does the graph represent a function?

Answers

Answer:

Step-by-step explanation:

fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.

8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.

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1)2

2)4

3)6

4)8

5)10

6)12

7)14

8)16

9) 18

10) 20

18
What is the value of y?
3
10
2y + 4
4
5
10 + 2x
6

Answers

From the principles of geometry, we can see that the value of y is 3.

Are the opposite sides of a rectangle equal?

The lengths of the opposing sides in a rectangle are equal. A rectangle is a quadrilateral with four parallel opposed sides and four right angles (90-degree angles).

In specifically, a rectangle has two sets of equal-length opposite sides. In a rectangle, the lengths of the neighboring sides can vary, but the lengths of the opposing sides are always the same. This feature sets a rectangle apart from other quadrilaterals.

We know that;

10 = 2y + 4

10 - 4 = 2y

y = 6/2

y = 3

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In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year

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Answer:44÷58+44

Step-by-step explanation:

If 10 milligrams are contained in 2 milliters. how many milligrams are contained in 28 milliliters?

Answers

Answer:

28,000 milligrams is your answer

Evaluate the expression 5(7 − 4)2 ÷ 3 + 11

Answers

Answer:

Step-by-step explanation:

5(7-4)*2/3+11

5*3*2/3+11

15*2/3+11

30/3+11

10+11

Answer:

Step-by-step explanation:

Subtract 4 from 7

5 ⋅ 3 ⋅ 2 ÷ 3 + 11

Multiply 5 by 3.

15 ⋅ 2 ÷ 3 + 11

Multiply 15 by 2.

30 ÷ 3 + 11

Divide 30 by 3.

10 + 11

Add 10 and 11.

Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.

Answers

Answer:

B. y=6-1/3t

Step-by-step explanation:

If you graph this equation, it matches the given graph. Hope this helps :)

What is 2+100009 it for my homework and I need it done today

Answers

Answer:

100011

Step-by-step explanation:

-
Find the equation of the line that
is parallel to y = 2x – 7 and
contains the point (-3,6).

Answers

Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2) with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) , Y-6 = 2[(X-(-3)] ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

list all the prime numbers between 90 and 100

Answers

Im pretty sure the only prime number in between 90 and 100 is 97

Only 97 bc that is the only prime number

According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?

Answers

I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer

Step-by-step explanation:

did you forget to write the whole question?

What the answer is please

Answers

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

The graphs below have the same shape. What is the equation of the blue
graph?

A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4

Answers

The graphs of f(x) and g(x) are related by transforming one of the two graphs.

The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

From the graphs, we have:

[tex]\mathbf{f(x) =x^2}[/tex]

f(x) is transformed to the right by 4 units.

The rule of this transformation is:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we start by calculating f(x - 4)

Given that:

[tex]\mathbf{f(x) =x^2}[/tex]

Substitute x - 4 for x in f(x)

[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]

Also, recall that:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we have:

[tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Answers

Answer:

Step-by-step explanation:

68% of what number is 17

Answers

Answer:

Step-by-step explanation:

We can set up an equation and solve for x (68% of x is 17)

68%*x=17 perform the inverse operation and divide both sides by 68%

dividing both sides by 68% will isolate the x variable

68%*x/68%= 17/68%

x=17/68%

x=25

so, therefore,

68% of 25 is 17

Answer:

[tex]\displaystyle 11\frac{14}{25}[/tex]

Step-by-step explanation:

Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:

[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]

I am joyous to assist you at any time.

Which equation represents this sentence?

6 times the difference of a number and 5 is equal to 36

5−6x=36

6(x−5)=36

6x−5=36

6(5−x)=36

Answers

It’s 6(x-5)=36 because when it’s says times the difference it means 6 times x-5 if that makes sense

The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given a statement as "6 times the difference of a number and 5 is equal to 36"

Therefore, the 6 times means the multiplication.

Let the number be x then;

the difference of a number and 5 is equal to 36 means the subtraction that is;

(x - 5) = 36

Therefore, the equation becomes

6(x - 5) = 36

The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36

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Is 26% greater than 3/8?

Answers

Answer:

No. It is not greater than 3/8

Step-by-step explanation:

3/8 x 100

=> 300/8

=> 37.5

=> 26% < 37.5%

Therefore, 26% is not greater than 3/8 or 37.5

Hoped this helped.

the domain and range in this graph will be:

a. Domain : all real nums, Range : all real nums

b. Domain : - 4 Range: 2

c. domain: 2 range : 5

Answers

Answer:

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.

Answers

they are all functions

In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?

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Answer:

Step-by-step explanation:

5. The price for
seedless oranges is $1.55 for the first
pound and $0.75 for each additional pound. Paul Paid $
5.35 to buy sour oranges.
How many pounds of seedless oranges did he buy?

Answers

Answer:

5 1/15 lb

Step-by-step explanation:

Equation:

5.35 = 1.55 + 0.75x [tex]\longmapsto\\[/tex] Subtract 1.55 from both sides

3.8 = 0.75x [tex]\longmapsto[/tex] Divide both sides by 0.75

5 1/15 lb

-Chetan K

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