Which of the following is a linear function?

Given:

The graph of a function.

To find:

The domain and range of the function.

Solution:

We have, the graph of a function and we need to find the domain and range of the function.

We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).

From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.

[tex]Domain=R-\{0\}[/tex]

[tex]Domain=(-\infty,0)\cup (0,\infty)[/tex]

From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.

[tex]Range=R-\{0\}[/tex]

[tex]Range=(-\infty,0)\cup (0,\infty)[/tex]

Therefore, the correct option is B.

Answer:

50

Step-by-step explanation:

Answer: the answer is 50

Step-by-step explanation:

Answer:

both angles are acute

Step-by-step explanation:

Answer:

It may take 20 to 30 seconds.

Step-by-step explanation: Hope this helped

brainliest?

The average time it took for a tablet to dissolve in water that was 22 °C in temperature was 28.3 seconds.

Any substance that, when consumed, alters the physiology or psychology of an organism qualifies as a drug.

The properties of the API (active pharmaceutical ingredient) such as

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Answer:

7

Step-by-step explanation:

Answer:

(-10) + 3

Step-by-step explanation:

hopefully it helped

Answer:

7.5m

Step-by-step explanation:

Since we are not asked what to look for we can find the maximum height reached by the ball

The ball reaches its maximum height when dh/dx = 0

dh/dx = -2.4x + 6

0 = -2.4x + 6

2.4x = 6

x = 6/2.4

x = 2.5

Get the max height

Recall:

h =-1.2x^2 + 6x ,

h(2.5) = -1.2(2.5)^2 + 6(2.5)

h(2.5) = -1.2(6.25)+15

h(2.5) = -7.5 + 15

h = 7.5

Hence the maximum height reached by the ball is 7.5m

Answer:

The hundreds place

Step-by-step explanation:

If you divide it

it would start out on the 4

Which is the hundreds Place

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

[tex]2x+3y=3.30[/tex]          ...(i)

Cost of five donuts and two cookies = $4.95

[tex]5x+2y=4.95[/tex]          ...(ii)

Multiply equation (i) by 2.

[tex]4x+6y=6.60[/tex]          ...(iii)

Multiply equation (ii) by 3.

[tex]15x+6y=14.85[/tex]      ...(iv)

Subtracting (iii) from (iv), we get

[tex]15x+6y-4x-6y=14.85-6.60[/tex]

[tex]11x=8.25[/tex]

Divide both sides by 11.

[tex]x=\dfrac{8.25}{11}[/tex]

[tex]x=0.75[/tex]

Therefore, the cost of each donut is $0.75.

Answer:

The answer is "[tex]y = \frac{1}{4}(x-4)[/tex]".

Step-by-step explanation:

Given:

[tex]Line = y= -4x+3 \\ \\point= (8,1)[/tex]

The formula for the standard Equation of a line:

[tex]\to y= mx +c[/tex]

compare the above line value:

[tex]m= -4\\\\c= 3[/tex]

When a line is perpendicular so, the m value is: [tex]= \frac{1}{4}[/tex]

[tex]\to m_1 \times \m_2 = -1\\\\\to -4 \times m_2= -1\\\\\to m_2 = \frac{-1}{-4}\\\\\to m_2= \frac{1}{4}[/tex]

Line equation when one point and m is given:

[tex]\to (y-y_1) = m (x- x_1)\\\\\to (y-1) = \frac{1}{4}(x- 8)\\\\\to 4y-4 = x- 8\\\\\to 4y = x-8+4\\\\\to 4y = x-4\\\\\to y = \frac{1}{4}(x-4)\\[/tex]

The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Let us solve the question

∵ f(x) = 4x + 4

∵ g(x) = x² - 6

→ We need to find (f + g)(x) which means f(x) + g(x)

∴ (f + g)(x) = f(x) + g(x)

∵ f(x) + g(x) = (4x + 2) + (x² - 6)

∴ f(x) + g(x) = 4x + 2 + x² - 6

→ Add the like terms

∵ f(x) + g(x) = 4x + x² + (2 - 6)

∴ f(x) + g(x) = 4x + x² + (-4)

→ Remember (+)(-) = (-)

∴ f(x) + g(x) = 4x + x² - 4

→ Arrange the terms from greatest power of x

∴ f(x) + g(x) = x² + 4x - 4

∴ (f + g)(x) = x² + 4x - 4,  is the required function.

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Answer:

It is a triangle

Step-by-step explanation:

This is called Triangle Inequality. We can use its theorem to identify whether these three sides work or not.  The Theorem states, "the sum of the smallest lengths of any two sides must be greater than or equal to the length of the remaining side." If we look at the sides, 11,4,7, we can conclude that these are applicable sides for a triangle because the sum of the two smallest lengths, 4 and 7, are the same value as 11. Therefore, these measurements are a triangle.

Answer:

statement 2, conduction is the transfer of heat through direct contact

Answer:

look below

Step-by-step explanation:

I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2  

I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong

Answer:

6.862035456*10^26 m/s^2

Step-by-step explanation:

We know that:

m=70kg

M=Mass of earth=5.98*10^24kg

R=Distance between object's and earth's center=6.38*10^6m

G=6.6726*10^-11 N/m/kg^2

Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:

[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]

This means the force of gravitational attractions is 6.862035456*10^26 m/s^2

Answer:

it is 25

Step-by-step explanation:

Answer:

x=6.5

Hope my answer is helpful to you

Answer:

Domain: -3<=x<4

Range:-1<=y<-3

(can I get brainliest please)

Answer:

range: [-3,-1) domain: [4,-3); idrk know the second one srry.

Step-by-step explanation:

[I took this from the internet, but hope it helps!]

Answer:

25/100x=2500

x=250000/25

x= 10000

20/100×10000=y

2000

Answer:

5Twice the sum of a number and -38 amounts to 20. (Hint: needs parentheses)

6. Alex sold his used lawn tractor and accessories for $210. If he received twice as much money for the lawn

tractor as he did for the accessories, find how much money he received for the lawn tractor. Write an

equation. Then solve the equation.

7. The cost of a television with remote control is $649. This amount is $125 more than the cost without remote

control. Find the cost of the television without remote control. Write and equation. Then solve the

equation.

The values from the given situations are required.

The number is 48.

Cost of lawn tractor is $140.

Cost of TV without remote is $387.

Let [tex]x[/tex] be the number

[tex]2(x+(-38))=20\\\Rightarrow x-38=\dfrac{20}{2}\\\Rightarrow x=10+38\\\Rightarrow x=48[/tex]

The number is 48.

[tex]x[/tex] = Cost of lawn tractor

[tex]y[/tex] = Cost of accessories

Cost of lawn tractor is twice of the accessories

[tex]x=2y[/tex]

Total cost of lawn tractor and accessories is $210

[tex]x+y=210\\\Rightarrow 2y+y=210\\\Rightarrow y=\dfrac{210}{3}\\\Rightarrow y=70[/tex]

Cost of lawn tractor is [tex]x=2y=2\times 70=140[/tex]

[tex]x[/tex] = Cost of TV

[tex]y[/tex] = Cost of remote

Cost of TV and remote is $649

Cost is $125 more than the cost without remote control

[tex]x+y=649[/tex]

[tex]x-y=125[/tex]

Adding the equations we get

[tex]2x=649+125\\\Rightarrow x=\dfrac{649+125}{2}\\\Rightarrow x=387[/tex]

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Answer: x + 1

Hope this helps :)

Answer:

x+1

Step-by-step explanation:

I hope you have a merry christmas!

Answer:

Step-by-step explanation:

12 miles is the ride distance

the guy is able to travel at 6 yard per second

Question C asks how many minutes will the trip take

first we have to convert miles to yards....

there are 1760 yards in one mile

12*1760= the total distance to be traveled.. in yards..

21,120 yards

Next we'll figure out the time to travel that distance.. but we're give a rate of travel in seconds...   6  yards every second

so divide the total yards by the seconds.. that are take to travel every second.. in on second he goes 6 yards. so divide the total yards by 6 for each second of travel

21,120 / 6 = 3520 seconds  to go 12 miles  or the 21,120 yards.. it's the same distance in different units

then.. b/c the question is asking for minutes divide the 3,520 seconds by 60.. b/c that's how many seconds are in one minute

3,520 / 60 = 58.6666666666666  minutes  or  58 minutes and 2/3 of one minute.... make sense?

Answer:

70 heartbeats per second

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

250 smaller cuboids

Step-by-step explanation:

Given

Small and Big cuboids

Required

Number of smaller cuboids in the big one

To do this, we calculate the volume of both cuboids.

[tex]Volume = Length * Width * Height[/tex]

For the small cuboid

[tex]V_1 = 10cm * 3cm * 4cm[/tex]

[tex]V_1 = 120cm^3[/tex]

For the big cuboid

[tex]V_2 = 50cm * 30cm * 20cm[/tex]

[tex]V_2 = 30000cm^3[/tex]

The number of small in big is then calculated by diving the volumes

[tex]Number = \frac{V_2}{V_1}[/tex]

[tex]Number = \frac{30000cm^3}{120cm^3}[/tex]

[tex]Number = \frac{30000}{120}[/tex]

[tex]Number = 250[/tex]

Hence, there are 250 small cuboids in the large one

Answer:

32. C

34.C

36. 2

Answer:

32. C, 34. C, 35. C, 36. 2 miles

Step-by-step explanation:

32. C because you can see the ratio is 7:1. There is only one answer that has a ratio of 7:1 which is C

34. C because the ratio of batches of cookies to cooking oil is [tex]1:\frac{2}{3}[/tex] since you want 4 batches of cookies, multiply 4 by [tex]\frac{2}{3}[/tex] to get C

35. C because the ratio of butter to sauce is [tex]\frac{2}{3}:2\frac{1}{2}[/tex] multiply [tex]\frac{2}{3}[/tex] by 4 to get C

36. 2 miles because the ratio of miles to hours is [tex]\frac{1}{2} :\frac{1}{4}[/tex] multiply [tex]\frac{1}{2}[/tex] by 4 to get 2 miles

Answer:

sum of the first 27 terms = -1431

Step-by-step explanation:

[tex] s_{n} = \frac{n}{2} (2a + (n - 1)d)[/tex]

n = 27 terms

first term, a = 25

common difference, d = 19 - 25 = -6

substitute the values into the formula

[tex] s_{27} = \frac{27}{2} (2(25) + (27 - 1)( - 6))[/tex]

[tex] s_{27} = 13.5(50 + 26( - 6))[/tex]

[tex] s_{27} = 13.5(50 - 156)[/tex]

[tex] s_{27} = 13.5( - 106)[/tex]

[tex]s_{27} = - 1431[/tex]