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4 years ago

Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.

Mathematics

2 answers:

TEA [102]4 years ago

7 0

For this case we have the following equation:

$3q + 5 + 2q - 5 = 65.$

We must find the value of the variable q:

We add similar terms:

$3q + 2q + 5-5 = 65\\5q + 0 = 65\\5q = 65$

We divide between 5 on both sides of the equation:

$\frac {5q} {5} = \frac {65} {5}\\q = 13$

So, the value of q is 13

Answer:

$q = 13$

JulsSmile [24]4 years ago

4 0

simplified version: 5q = 65

5q = 65

q = 13

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ZanzabumX [31]

I think the answer would be x=-7
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4 years ago

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9

lorasvet [3.4K]

Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

The end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{3x}{x - 9}$

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3$

Hence, the end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

More can be learned about asymptotes at brainly.com/question/16948935

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2 years ago

which set of side lengths form a right side?a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm

muminat

Answer:

Step-by-step explanation:

If <em>a ≤ b < c</em><em> </em>form of a right side, then <em>a² + b² = c²</em>

a) 3ft, 6ft, 5ft

3² + 5² = 6²

9 + 25 = 36

34 = 36 <em>FALSE</em>

b) 50in, 48in, 14in

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500 <em>CORRECT :)</em>

c) 53m, 48m, 24m

24² + 48² = 53²

576 + 2304 = 2809

2880 = 2809 <em>FALSE</em>

d) 8cm, 17cm, 14cm

8² + 14² = 17²

64 + 196 = 289

260 = 289 <em>FALSE</em>

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3 years ago

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Find the area of the figure

KatRina [158]

Answer:

288

Step-by-step explanation:

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3 years ago

The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th

Anit [1.1K]

we are given

$a=f(t)=2t^2$

we can use average rate of change formula from t=a to t=b

$A=\frac{f(b)-f(a)}{b-a}$

Here, we are given from t=1 to t=4

so, we will get formula as

$A=\frac{f(4)-f(1)}{4-1}$

now, we can plug values

$A=\frac{2(4)^2-2(1)^2}{4-1}$

now, we can simplify it

$A=10$

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4 years ago