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
valentinak56 [21]
3 years ago
10

Jin is tracking how much food he feeds his dog each week. After 2 weeks, he has used 8 1/2 cups of dog food. After 5 weeks,he ha

s used 21 1/4 cups. Construct a function in the form y=mx+b to represent the amount of dog used ,y, after x weeks
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

y = 4.25x

Step-by-step explanation:

The function that we want to construct is a linear function:

y=mx+b

To find the values of the parameters m and b, we just need to use the two points that the question gave:

in two weeks, he used 8 1/2 = 8.5 cups, so for x = 2 we have y = 8.5.

in five weeks, he used 21 1/4 = 21.25 cups, so for x = 5 we have y = 21.25.

Then, we apply these values in the equation:

8.5 = 2m + b

21.25 = 5m + b

Subtracting the first equation from the second, we have:

3m = 12.75

m = 4.25

Now we use the value of m in the first equation to find the value of b:

8.5 = 2*4.25 + b

8.5 = 8.5 + b

b = 0

So, our equation will be y = 4.25x

You might be interested in
What does |x| mean in a function?
seropon [69]

Answer:

<h2><u><em>The function basically returns the same objects (= does nothing). This could also be written explicitly as a named function. new Function <- function(x) { x } which would then be. cross val <- function(data, lambda=0, y trans = new Function) This is the default value, like in lambda=0, except the default value is a function itself.</em></u></h2><h2><u>brainlist plz </u></h2>

Step-by-step explanation:

6 0
3 years ago
Which statements are true regarding the area of circles and sectors? Check all that apply.
AveGali [126]

Answer:

The correct options are a,b.

Step-by-step explanation:

The area of sector of a circle equals

Area of a sector = \theta r^{2}

where

\theta is the angle subtended at the center by the sector

r is the radius of circle

This indicates that area of the sector depends on:

1) Radius of circle

2) Angle  subtended at the center by the sector

3) Area of sector does not depend on pi.

Also if we know the area of the sector only  we cannot calculate area of area of whole triangle as we need one more information either angle of the sector and vice versa.

3 0
3 years ago
Read 2 more answers
Please help me with this problem.
Alik [6]

We're going to use the equation given but let's first make sure we understand what the equation IS saying:

Area of a kite= [(1st diagonal) × (2nd diagonal)]/2

Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).

Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.

Line W to Y: 20+12= 32

Line X to Z: 12+12= 24

Now let's plug these numbers into the equation (it doesn't matter the order of the diagonals because we're just gonna be multiplying them either way!)

So...

(32×24)/2= 384 units squared (because it is area)

8 0
3 years ago
11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola
lbvjy [14]

11. The given parabola has equation: f(x)=-3x^2-18x-35

We complete the square to have the function in the vertex form: f(x)=-3(x^2+6x)-35

f(x)=-3(x^2+6x+9)+3*9-35

f(x)=-3(x^2+6x+9)+27-35

f(x)=-3(x+3)^2-8

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12.  We know the graph of y=x^2  is a parabola that opens up and has its minimum point at the origin.

The range of this function is y\ge 0

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect y=x^2 and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

 14.  We want to find the zeros of x^2+21x=5x-63

x^2+21x-5x+63=0

x^2+16x+63=0

The factored form is (x+7)(x+9)=0

x=-7\:or\: x=-9

Ans: C. x = −7, −9

15. The given quadratic expression is 6x^2-17x+10

We split the middle term to obtain:

6x^2-12x-5x+10=0

We factor by grouping to get:

6x(x-2)-5(x-2)=0

(x-2)(6x-5)=0

Ans: D. 6x − 5

8 0
3 years ago
Read 2 more answers
Applying One-Step Inequalities
sergij07 [2.7K]

Answer:

1). n </=6

2). n > 27.25

3). n > 10.50

8 0
3 years ago
Other questions:
  • At a snack stand, drinks cost $1.50. Write the expression that could be used to find the total cost in dollars of d drinks?
    5·2 answers
  • Which choices are correctly written in a scientific notation ? select the four correct answers
    5·1 answer
  • 2h=w-3p<br> What does p equal?
    10·2 answers
  • I would like help with as many of these as you can help with 50 POINTS TO WHO HELPS THE MOST
    13·1 answer
  • Shelly has a beaker that contains 5 and two-thirds fluid ounces of water. She pours out 3 and one-third fluid ounces of water. W
    8·2 answers
  • Use the x-intercept method to find all real solutions of the equation. <br> x^3-6x2+3x+10=0
    15·2 answers
  • It is 18 degrees Celsius at 8 am, and 14 degrees Celsius by noon. The change in the temperature from 8am to noon is?
    10·2 answers
  • 3x + 5 = 2x + 9 <br> What do I do???
    7·2 answers
  • Marry christmas even tho are parents lied to us and hes not real
    12·2 answers
  • The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!