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drek231 [11]
3 years ago
15

9. A pet store has 45 mice. The number of mice is 22 more than the number of cats. Which equation can be solved to find the numb

er of cats c

Mathematics
1 answer:
madam [21]3 years ago
6 0
Answer

C. c+22=45

Working
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Given f(x) = 3x + 4 and g(x) = 8x + 1<br> then what is ( f + g )(0))?<br><br> *****HELP*^^^^^^
pochemuha

     •   f(x) = 3x + 4

     •   g(x) = 8x + 1


Sum both functions above:

     (f + g)(x) = f(x) + g(x)

     (f + g)(x) = (3x + 4) + (8x + 1)

     (f + g)(x) = 3x + 8x + 4 + 1

     (f + g)(x) = 11x + 5


Therefore,

     (f + g)(0) = 11 · 0 + 5

     (f + g)(0) = 0 + 5

     (f + g)(0) = 5   <———   this is the answer.


I hope this helps! =)

3 0
2 years ago
Find an invertible matrix P and a matrix C of the form such that the matrix A has the form A. The eigenvalues of A are and with
Drupady [299]

Answer:

Hello your question is incomplete attached below is the correct question

and the solution

answer: A

Step-by-step explanation:

attached below is a detailed solution of the given problem

There exists P and C such that ( ∵ λ1 ≠ λ21 so A is diagonalizable )

5 0
3 years ago
If c varies directly as (r + 1) and c = 8, when r= 3, calculate the value of r when c= 20.
Aneli [31]

Answer:

r = 9

Step-by-step explanation:

Given that c varies directly as (r + 1) then the equation relating them is

c = k(r + 1) ← k is the constant of variation

To find k use the condition c = 8 when r = 3, then

8 = k(3 + 1) = 4k ( divide both sides by 4 )

2 = k

c = 2(r + 1) ← equation of variation

When c = 20, then

20 = 2(r + 1) ← divide both sides by 2

10 = r + 1 ( subtract 1 from both sides )

9 = r

5 0
3 years ago
Read 2 more answers
Course Task
RUDIKE [14]

Answer: gravity affect only the mass

Step-by-step explanation:

Hey can you contact me please

3 0
3 years ago
The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
2 years ago
Read 2 more answers
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