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REY [17]
3 years ago
12

There are 2 cats on each house roof, and there are 15 cats on the ground. The table shows how the number of cats, c, depends on

the number of houses, h. Choose the equation which represents the rule.
A) c = 2h + 2
B) c = 15 - 2h
C) c = 2h − 15
D) c = 2h + 15
Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer: c = 2h + 15

Step-by-step explanation: Each house (h) adds 2 cats. We represent that with 2h. Then we add the constant 15 on the ground as +15.

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Here,

time=4.0s

velocity=39.2m/s

Formula:

a=v/t

=39.2/4.0

=9.8 (ms-2)

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2 years ago
Which of the following explains the relationship between angles A and D?
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Complementary angle
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Solve 73 make sure to also define the limits in the parts a and b
Aleks04 [339]

73.

f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}

a)

\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3

b)

Since we can't divide by zero, we need to find when:

x^4-2x^2+144=0

But before, we can factor the numerator and the denominator:

\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}

Now, we can conclude that the vertical asymptotes are located at:

\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}

so, for x = -3:

\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty

For x = 4:

\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty

4 0
10 months ago
I need to solve this question asap
jeyben [28]

Answer:

im sorry I just need to us ur page to right on

7 0
2 years ago
If 6:2=8:x, then<br> a. 6x=16<br> b. 6x=10<br> c.2x=48<br> d. 2x=14
otez555 [7]

Answer:

a)6x = 16

Step-by-step explanation:

<h2><u>Finding the value</u></h2>

the ratio can be solved by <u>cross multiplication :</u>

6       :          2

8       :          x

6*x = 8*2

6x = 16

answer is : <u>a) 6x = 16</u>

4 0
2 years ago
Read 2 more answers
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