answer.
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
guajiro [1.7K]
2 years ago
9

On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4

, 0). Which is true regarding the graphed function f(x)?
Mathematics
1 answer:
Katyanochek1 [597]2 years ago
3 0

Answer:

A) f(-3) = g(-4)

Step-by-step explanation: hope it helps

You might be interested in
The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
the daily profit in dollars of a specialty cake shop is described by the function P(x)=-3x^2+168x-1920. Where x is the number of
forsale [732]

Answer:

28

Step-by-step explanation:

We have the following function:

f(x)=-3x^{2} +168x-1920

where a=-3, b=168 and c=-1920

In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:

Xv= \frac{-b}{2a}

Xv= \frac{-168}{2.(-3)}

Xv= \frac{-168}{2.(-3)}

Xv= 28

So 28 cakes should be prepared per day in order to maximize profit.

7 0
2 years ago
Read 2 more answers
Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly
damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

M=\frac{\text{Amount}}{\text{Discount factor}}  

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where, Amount = $40,000

Rate r= 4% compounded monthly

i=\frac{4}{100}=0.04  

Time = 10 years  

n=10\times12=120  

Now, put all the values we get,  

D=\frac{1-(1+i)^{-n}}{i}  

D=\frac{1-(1+0.04)^{-120}}{0.04}  

D=\frac{1-(1.04)^{-120}}{0.04}  

D=\frac{1-0.00903}{0.04}  

D=\frac{0.9909}{0.04}  

D=24.7725  

M=\frac{\text{Amount}}{\text{Discount factor}}  

M=\frac{40000}{24.7725}  

M=1614.69  

Half of the monthly payment is $807.345

Payment for 10 years is 807.345\times 120=96881.4

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0
2 years ago
Read 2 more answers
Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x &gt;2.5 | x ≤ 4).
Rainbow [258]
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

8 0
2 years ago
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans
solmaris [256]
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
8 0
1 year ago
Read 2 more answers
Other questions:
  • Mike earned $11.76 per hour for working 23.5 hours last week. how much money did mike earn last week?
    13·1 answer
  • Find a positive angle less than one rotation that is coterminal with 750 degrees
    9·1 answer
  • Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second.The distance d (in
    5·1 answer
  • Big Bucks Bank charges a monthly service fee and a per-check fee, and its total monthly fees as they relate to the number of che
    5·2 answers
  • S is the centroid of triangle XYZ. What is the length of SW? 5 units 11 units 22 units 28 units
    12·2 answers
  • Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a basic
    11·2 answers
  • Which expression is equivalent to 6 minus (negative 8)?Negative 6 + 8Negative 6 + (negative 8)6 + (negative 8)6 + 8
    13·1 answer
  • Robby had 4 4/9 bags of pet food.All of the bags held the same amount of food when they were full.Of Robby's 4 4/9 bags of pet f
    11·1 answer
  • One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN
    13·1 answer
  • 14x+28y+21 = ?<br> Factor completely.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!