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
wel
4 years ago
7

The function f(x)=1/4x+6 is vertically translated by 12 units in the negative direction. What is the y-intercept of the new func

tion?
Mathematics
1 answer:
s2008m [1.1K]4 years ago
6 0
Since the function f(x) is written in the form y = mx + b, where m is the slope and b is the y-intercept, it currently has a y-intercept of b = 6. If this function is shifted downwards (vertically) by 12 units, its new y-intercept will be:
6 - 12 = -6

You might be interested in
Me again.. can someone please help me with this? It's trigonometry, and I'm not very good at it...
hodyreva [135]
Check the picture below.

8 0
4 years ago
By accident, six burned-out bulbs have been mixed in with 26 good ones. Ken is replacing old bulbs in his house. If he selects t
katrin2010 [14]

Answer:

Step-by-step explanatxhhfghgion:

8 0
3 years ago
Solve for x. 9x/7= 18 x = -2 4/7 x = 2 4/7 x = 14
jeka94

Answer:

x=14

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
The cylinder is 10 meters wide and the volume is 300 cubic meters what's the height of the cylinder?
daser333 [38]
Cylinder is 10 meters wide, so its diameter is 10 meters. You get radius of it by dividing 10 by 2, which equals 5.
As you count volume of cylinder from that equation
V=A*h= \pi  r^{2}*h 
You get an equation to count height:
h= \frac{V}{ \pi  r^{2} } 
h≈3.82 meters
4 0
4 years ago
a rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y=121-x^2. what are the dimension
insens350 [35]

Answer:

the length is \dfrac{22}{\sqrt{3}} and the width is 121-\left(\dfrac{11}{\sqrt{3}}\right)^2=121-\dfrac{121}{3}=\dfrac{242}{3}.

Step-by-step explanation:

Let points A and B be placed on the x-axis. Their coordinates are A(x_0,0)\ (x_0>0) and B(-x_0,0) (because of parabola symmetry). Two other vertices lie on the parabola, then C(-x_0,121-x_0^2) and D(x_0,121-x_0^2). The length of the side AB is 2x_0 and the length of the side AD is 121-x_0^2. Thus, the area of the rectangle ABCD is

A=2x_0\cdot (121-x_0^2)=242x_0-2x_0^3.

Find the derivative A':

A'=242-2\cdot 3x_0^2=242-6x_0^2.

Equate A' to 0:

242-6x_0^2=0,\\ \\x_0^2=\dfrac{121}{3},\\ \\x_0=\dfrac{11}{\sqrt{3}}.

The maximum area of the rectangle is

A_{max}=242\cdot \dfrac{11}{\sqrt{3}}-2\cdot \left(\dfrac{11}{\sqrt{3}}\right)^3=\dfrac{2662}{\sqrt{3}}-\dfrac{2662}{3\sqrt{3}}=\dfrac{5324}{3\sqrt{3}}\ un^2.

The dimensions of the rectangle are:

the length is \dfrac{22}{\sqrt{3}}\ un. and the width is 121-\left(\dfrac{11}{\sqrt{3}}\right)^2=121-\dfrac{121}{3}=\dfrac{242}{3}\ un.

6 0
4 years ago
Read 2 more answers
Other questions:
  • Amy raises $58.75 to participate in a walk a thon. Jeremy raises $23.250more than Amy. Oscar raises 3 times as much as Jeremy. H
    15·2 answers
  • 12. Find the distance between the points (-15, 3) and (-9,8).
    10·1 answer
  • Simplify the expression.
    14·2 answers
  • Why did the envelope lose the race with the cardboard box
    11·1 answer
  • Please help ASAP! giving BRAINLIEST if correct! What is the factorization of the polynomial below?
    6·1 answer
  • What is the volume of a cube with 1/2 inch sides
    13·2 answers
  • PLEASE HELP‼️<br> A<br> B<br> C<br> D
    5·1 answer
  • At a restaurant last night, 8 people ordered salads, 10 ordered steaks, 18 ordered chicken, and 14 ordered pasta.
    15·1 answer
  • What is the area of this figure! Pls help!
    8·1 answer
  • Which scale of measurement most reasonably applies to Confidence in Education?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!