The air temperature is −12 °C at sunrise and rises 3 °C every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x − 12. Find the intercepts

Answers

Answer 1

Answer:

4 and -12

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12


Related Questions

Determine square of -p+6

Answers

Answer:

-12p+p^2+36

Step by step explanation:

(-p+6)^2 is the square of -p+6

we use the formula

(a+b)^2=2ab+a^2+b^2

(-p+6)^2=-12p+p^2+36

the minus of p disappears

I think you meant to say the SQUARE ROOT.

sqrt{-p + 6}

If you meant to SQUARE THE BIMOMIAL, then the set up is:

(-p + 6)^2

(-p + 6)(-p + 6)

p^2 -12p + 36

Which statement is true? CLEAR CHECK 0.25 = 14 because 25100 = 14 0.20 = 2010 because 0.20 means 20 tenths 0.23 > 12 because 0.23 = 23 0.4 = 14 because they are on the same place on a number lin

Answers

Answer:

because 25/100 = 1/4

0.20 = 20/100

Step-by-step explanation:

because 25/100 = 1/4

0.20 = 20/100

because 0.20 means 20 tenths 0.23 > 1/2

because 0.23 = 23

0.4 = 1/4

because they are on the same place on a number lin

x + 7= -209
please answer :)

Answers

Answer:

x = - 216

Step-by-step explanation:

x + 7 = -209

x = -209-7

x = -216

hope you got it.

Answer:

-216

Step-by-step explanation:

ur welcome

I NEED HELPPP PLEASE!!

A landscaper has two fields to seed. The first field requires 122
tons of seed and the second one will need
104
tons. How much
seed will the landscaper need altogether?

Answers

Answer:

226 tons of seed......

The container that holds the water for the football team is 1/2 full. After pouring out 3 gallons of water, it is 1/3 full. How many gallons can the container hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

1/6 of container is 3 gallons

so 6/6 is 18 gallons

Hope this helps. Pls give brainliest.

Answer both there’s a part A and B

Answers

Answer:

6

Step-by-step explanation:

What is the value of 25 when z = 2?

Answers

Answer:

The question makes no sense in my opinion

If you can help that would be great!!!!

Answers

Answer:

1 and four

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

A vertical angle is one of two opposite and equal angles formed by the intersection of two lines.

1 and 4

2 and 3

5 and 8

6 and 7

are all answers

I’m really struggling on this question:
Expand the bracket
2x(11x+1)
If you could help I would really appreciate it :)

Answers

Answer:

The answer is =22x²+2x

Step-by-step explanation:

2x(11x+1)

=22x²+2x

Please help!!!!!!!!!!!!!!!!!

Answers

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.

Who climbed a steeper mountain? Explain.

I wanna say it's Joe but I also feel like I'm wrong, and I have no idea how to explain my answer lol.

Answers

9514 1404 393

Answer:

  Bob

Step-by-step explanation:

The "steepness," or slope, of the mountain is the ratio of height to horizontal distance to the base:

  Joe's mountain slope = 1200/1500 = 0.8

  Bob's mountain slope = 900/1000 = 0.9

Bob's mountain has a greater slope than Joe's. Bob climbed the steeper mountain.

The triangle pictured below represents a community garden, which is surrounded on
3 sides by a fence. Find the perimeter of the fence.
A)4
B)62
C)88
D)336

Answers

Answer:

I'm not able to do it but I can tell you how

Step-by-step explanation:

make the 10a-9 equal 14a-25 solve for that a then use the answer to a to then plug in thst number in all of them and that would be your answer

The perimeter of the isosceles triangle is 88.

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, equilateral, isosceles and so on.

From the diagram, two sides of the triangle are equal, hence it is an isosceles triangle, hence:

10a - 9 = 14a - 25

4a = 16

a = 4

10a - 9 = 10(4) - 9 = 31

6a + 2 = 6(4) + 2 = 26

Hence the perimeter of the triangle = 31 + 31 + 26 = 88

Hence the perimeter of the triangle is 88.

Find out more at: https://brainly.com/question/18645580

Nine subtracted from twice a number

Answers

Answer:

2x - 9 = -5

2x = 4

x = 2

What is the slope of line y = 3

Answers

Answer:

slope = 0

Step-by-step explanation:

Answer:

Slope:  0

Step-by-step explanation:

Slope:  0

y-intercept:  

( 0 , 3 )

4t - 12 + 3 - 5t
Please help

Answers

Answer:

-t-9

Step-by-step explanation:

=-5t+4t-12+3

=-t-9

150m - 125m + 43,200 = 45,675 - 200m
Please help!! What is the value of m ?

Answers

first you combine like terms

25m + 43,200 = 45,675 - 200m

then you add 200m to both sides

225m + 43,200 = 45,675

then you subtract 43,200 from both sides

225m = 2,475

then you divide both sides by 225

m = 11

Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri

Answers

Answer:

One hour after  starting

Step-by-step explanation:

Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.

Now, when they catch each other, the distance moved is the same.

So, d = d'

2(t + 0.5) = 3t

expanding the brackets, we have

2t + 2 × 0.5 = 3t

2t + 1 = 3t

collecting like terms, we have

3t - 2t = 1

simplifying, we have

t = 1

So, Cindy will catch Teri one hour after starting.

Do whatever u can no messing round plz

Answers

Answer:

1a. 5x+14

1b. 5x+14 < 65

1c. x=51/5

Step-by-step explanation:

Help me solve this problem please

Answers

Correct answer is B not C

Enter your answer and show all the steps
Solve the system by elimination
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answers

Answer:

Youe answer is (1,1,0)

Step-by-step explanation:

Hope that help.Have a great day!!Also Brainiest will be needed.

PLEASE HELP! WHOEVER ANSWERS FIRST GETS BRAINLIEST !! The height in feet above the ground of an arrow after it is shot can be modeled
by y = -16(t - 2)^2 + 68. Over what interval is the arrow increasing in height? *

Answers

Answer:

The answer is 4.06155281

Step-by-step explanation:

HELP QUICKLY I HAVE 3 mins LEFT

Answers

Answer:

B

Step-by-step explanation:

The range means y so it has to be b or d

and you see that it is -2 as lowest, 2 as highest value it can reach/cutoff at

please give thanks :)

Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD

If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?

Answers

Answer:

8,3 y=3x+4

Step-by-step explanation:

The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given A(8, 0) and B(3, 7).

Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.

Slope of AB = (7 - 0) / (3 - 8) = -7/5

Substituting in the equation,

y = -7/5 x + c

Substituting a point (8, 0) on the equation,

0 = (-7/5 × 8) + c

c = 56 / 5

Given AB parallel to CD.

Slope of parallel lines are equal.

Slope of CD is -7/5.

Equation of the line CD is y = -7/5 x + c.

Substituting (5, 5),

5 = (-7/5 × 5) + c

c = 12

Equation of CD is y = -7/5 x + 12

Hence the equation of line CD is y = -7/5 x + 12.

Learn more about Slope here :

https://brainly.com/question/14511992

#SPJ7

ILL GIVE U BRAINLIEST PLS ANSWER

Answers

Y=0.5x
I hope this might help

Answer:

y = - 2x

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}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

The perpendicular line passes through the origin ⇒ c = 0

The equation of line L₂ is

y = - 2x + 0 , that is

y = - 2x

Two trees cast shadows on the ground as shown. The smaller tree is 17m high and cast a 10m long shadow.
The faller tree casts a 10m long shadow. What is the height of the taller tree?



HELP ME WITH THIS PLEASE

Answers

Answer:

2.8

Step-by-step explanation:

this is my best guess

true or false: The Coordinates (7,10) and (-7,10) belong to the fourth and second quadrants respectively

Answers

Answer:

i think that is false

Step-by-step explanation:

5. – X – 3 = 2x – 6
Help

Answers

Hello!

[tex]\large\boxed{x = 1}[/tex]

-x - 3 = 2x - 6

Begin by adding x to both sides:

-x + x - 3 = 2x + x - 6

-3 = 3x - 6

Add 6 to both sides:

-3 + 6 = 3x - 6 + 6

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1.

Under a given correspondence two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other
The above is known as
(a)SSS congruence of two triangles
(b)SAS congruence of two triangles
(c)ASA congruence of two triangles (d)RHS congruence of two right-angled triangles​

Answers

Answer:

(a)SSS congruence of two triangles

Step-by-step explanation:

Congruence is a relationship that expresses the similarity between two triangles. The relationship between two triangles with their three sides being congruent is termed as the side-side-side (SSS) congruence property of the triangles. This implies that the two triangles are similar with respect to their three sides.

In corollary, since the three sides of the two triangles are congruent, then the three angles respectively would be congruent.

Marco needs to buy some dog food at the nearest store six Pazzo dog food cost $25.50 how much would Michael spend on five bags of dog food

Answers

Step-by-step explanation:

Since 6 Pazzo dog food cost $25.50,

5 Pazzo dog food would cost $25.50 * 5/6 = $21.25.

Hence Michael would spend $21.25.

Answer:

$21.25

Step-by-step explanation: $4.25 for each bag so $4.25 x 5= $21.25

A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.

Answers

Answer:

Step-by-step explanation:

The answer is B. His budget is $250 so it has to be less than or equal to. $60 a crew member (x = the crew members) and $45 to use the forklift, so $60x + $45 is less than or equal to $250

Answer:

B is the correct answer.

Step-by-step explanation:

According to the problem, the contractor can spend AT MOST $250 a day, meaning $250 is the limit. Therefore, that gives you less than or equal too, or ≤. Next, it costs $45 a day, including $60, which you would add to get the final amount, or +.

Therefore, 60x + 45 ≤ 250

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