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3 years ago

What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2

Mathematics

1 answer:

Serjik [45]3 years ago

5 0

Answer:

use desmos and type in the equation to get the graph

Step-by-step explanation:

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Which of these equations shows the correct relationship between x and y?

Leto [7]

X+y=180
they are adjacent angles
x=50
y=130

7 0

2 years ago

Evaluate the following integral using trigonometric substitution.

wariber [46]

Answer:

Step-by-step explanation:

1. Given the integral function $\int\limits {\sqrt{a^{2} -x^{2} } } \, dx$ , using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as $asin \theta$ i.e $x = a sin\theta$ .

All integrals in the form $\int\limits {\sqrt{a^{2} -x^{2} } } \, dx$ are always evaluated using the substitute given where 'a' is any constant.

From the given integral, $\int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx$ where a = 7 in this case.

The substitute will therefore be $x = 7 sin\theta$

2.) Given $x = 7 sin\theta$

$\frac{dx}{d \theta} = 7cos \theta$

cross multiplying

$dx = 7cos\theta d\theta$

3.) Rewriting the given integral using the substiution will result into;

$\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)} } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)} }}} \, 7cos\theta d\theta\\$

$= \int\limits343 cos^{2} \theta \, d\theta$

8 0

3 years ago

The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many grams doe

Helga [31]

<span>First find how many grams are in 15.87kg and how many meters are in 30.48cm

15.87kg x 1000g/kg = 15, 870g
30.49cm x 1m/100cm = 0.3049m

Then, set up a proportion.

0.3049m/15, 870g = 1m/x g

Cross multiply to get..
0.3049x = 15, 870

Divide for x and there you are.</span>Source(s):Myself.1004 <span>· 8 years ago

</span>

7 0

3 years ago

Read 2 more answers

Bought five lip balms. Each lip balm costs the same amount. She spent a

Juli2301 [7.4K]

The equation for your question would be 7.25= 5c :)

6 0

2 years ago

The table shows values for functions f(x) and g(x) .

lozanna [386]

Answer:

-1, 0 and 1

Step-by-step explanation:

Let's work through this step by step.

x goes from -2 to 2 so we will check each integer in between.

f(-2) and g(-2) is the first one. The table shows f(-2)=-8 and g(-2)=-2, so f(-2) does not equal g(-2)

Now we just keep doing this for x=-1,0,1, and 2

f(-1) = -1 and g(-1) = -1 so f(-1)=g(-1)

f(0)=0 and g(0)=0 so f(0)=g(0)

f(1)=1 and g(1)=1 so f(1)=g(1)

f(2)=8 and g(2)=2 so f(2) does not equal g(2)

So there were three xs that made f(x) = g(x). -1, 0 and 1, so those are your answers.

8 0

2 years ago

Read 2 more answers