1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sindrei [870]
3 years ago
12

Which of these are the intercepts of the graph of y = 3x – 12?

Mathematics
2 answers:
Lunna [17]3 years ago
7 0
Hello there! :) To find one intercept, you'll need to set the other one to 0. For instance: x intercept: y=0 y intercept: x=0 X Intercept: 0= 3x-12 Add 12 to both sides to isolate x. 0+12= 3x-12+12 12= 3x Divide both sides by 3. 12/3=3x/3 4= x intercept Y Intercept: You could plug in x as 0 and solve, but a quick way to find it in a slope-intercept equation is to look at the number at the end (without the x.) In this problem it would be -12. Hope this helps! :) Let me know if you need any additional helps.
charle [14.2K]3 years ago
5 0
Y intercept is (0,-12), the x-intercept is (4,0)
You might be interested in
Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
maria [59]

Answer:

  305 °F

Step-by-step explanation:

The core temperature of the object after 4 hours can be found using an exponential decay formula to model the decay of the difference between core temperature and ambient.

<h3>Cooling Model</h3>

The solution to the differential equation described by Newton's law of cooling is the exponential equation ...

  y = ab^t +c

where 'a' is the initial core temperature difference from ambient, 'b' is the decay factor of that difference in 1 unit of time period t. 'c' is the ambient temperature.

For this problem, the ambient temperature is c=80, and the differences of interest are ...

  a = 1200 -80 = 1120

  b = (830 -80)/1120 = 75/112

Using these values in the model gives ...

  y = 1120(75/112)^t +80 . . . . . . where y(t) is the core temperature at time t

Note that units of time are hours.

<h3>Application</h3>

We want y when t=4.

  y = 1120(75/112)^4 +80 ≈ 1120(0.20108) +80 ≈ 305.212

The core temperature after 4 hours is about 305 °F.

__

<em>Additional comment</em>

The differential equation will have a solution of the form ...

  T-T_R=(T_0-T_R)e^{kt}

where k = ln(75/112) ≈ -0.40101

In the above, we defined b = e^k = 75/112. Accuracy with this fraction can be better than using a truncated value of k.

5 0
2 years ago
The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression.
konstantin123 [22]

The answer is B) The initial number of bacteria is 57, and the growth rate is 31% per hour.


The expression shown is an <em>exponential expression</em>.  An exponential expression usually takes the form ab^{x}, as this one does.  A represents the <em>initial value</em>, in this case-the initial number of bacteria.  B represents the <em>growth rate</em>.  When it is an increasing growth rate, it will begin with 1, because it will have everything it had before, plus the percent increase, the decimal portion.  In this case, a=57, and b=0.31.


Hope this makes sense!

3 0
3 years ago
Show how to make one addend the next tens number. complete the new addition sentence 15+37=
bekas [8.4K]
The answer to the addition problem 15 + 37 = 52
7 0
3 years ago
Combine like terms to write an equivalent expression for <br><br> 2( 4y^2 + 6x - 2y^2 + 12x.)
natima [27]
8y^2 + 12x - 4y^2 + 24x
= 4y^2 + 36x
3 0
3 years ago
HELP! SOMEWHERE AROUND 20 POINTS
Aleks [24]

❤️Hello!❤️ A. is 6.80 inches, B. is 6.28 inches, C. is 776.470, D. is 840.764, so the standard bike will get you their faster. Hope this helps!↪️ Autumn ↩️

4 0
3 years ago
Other questions:
  • Classify each polygon by its number of sides. Drag the choices into the boxes to correctly classify each polygon
    8·1 answer
  • 4 and 5? Plz?!?!?!?!?!?
    5·1 answer
  • Michael is putting 12 boxes in a storage shed. Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 f
    12·1 answer
  • An astronaut is working on a satellite 200 miles above the ground. What is the measure of BD⌢, the portion of Earth that the ast
    9·1 answer
  • Evaluate the expression for the given values. 8x+2yz , where x=12 , y = 4, and z = 2 Enter your answer in the box.
    6·1 answer
  • What is 12x34(234)+123x234
    13·2 answers
  • The length of rectangular garden is 8 feet longer than the width. If the area of the garden is 20 square feet, find the length a
    11·1 answer
  • Divide 90kg into the ration 2:3:7
    10·2 answers
  • What symbol does this stand for *
    8·2 answers
  • ok i have a chart that i have to right the line of best fit for and I don't know how to do that please help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!