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gavmur [86]
2 years ago
7

-4x+6+30 for some value of x, what is the value of -2x+5, for the same value of x?

Mathematics
1 answer:
lana66690 [7]2 years ago
7 0

Answer:

The value of X is 15.5.

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x
Aliun [14]
As

\tan x=\dfrac{\sin x}{\cos x}
\cot x=\dfrac{\cos x}{\sin x}

we have

\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x

Recalling that \cos2x=\cos^2x-\sin^2x, we end up with

-\cos2x=1-2\cos2x
1=\cos2x
\implies2x=2n\pi

(where n is any integer)

\implies x=n\pi
5 0
3 years ago
Which of the following points is a solution of y > Ixl + 5?
Step2247 [10]

Answer:

B. (1,7)

Step-by-step explanation:

We can substitute the x and y values of each coordinate into the inequality and test if they work.

Let's start with A, 5 being y and 0 being x .

5 > |0|+5\\5> 0+5\\5 > 5

5 IS NOT greater than 5, they are the exact same, so A is out.

Let's try B, 1 being x and 7 being y.

7 > |1| + 5\\7 > 1 + 5\\7 > 6

7 IS greater than 6, so B. (1,7) does work for this inequality!

Let's do C for fun, when 7 is x and 1 is y.

1 > |7| + 5\\1>7+5\\1>12

1 IS NOT greater than 12, it is quite less than 12, so C doesn't work.

Therefore B. (1,7) works for the inequality of y > |x|+5.

Hope this helped!

7 0
2 years ago
Given a polynomial f(x), if (x + 7) is a factor, what else must be true? f(0)=7 f(0)=-7 f(7)=0 f(-7)=0
Nataly [62]
F(-7)=0  

Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.
7 0
3 years ago
Read 2 more answers
Which of the following could NOT be the lengths of the sides of a triangle?
Furkat [3]

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,

5+5=10>5

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,

10+15=25>20

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,

3+4=7>5

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,

8+5=13

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

8 0
2 years ago
The mean per capita income is 15,451 dollars per annum with a variance of 298,116. What is the probability that the sample mean
docker41 [41]

Answer: 0.5467

Step-by-step explanation:

Let X be the random variable that represents the income (in dollars) of a randomly selected person.

Given : \mu=15451

\sigma^2=298116\\\\\Rightarrow\ \sigma=\sqrt{298116}=546

Sample size : n=350

z-score : \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

To find the probability that the sample mean would differ from the true mean by less than 22 dollars, the interval will be

\mu-22,\ \mu+22\\\\=15,451 -22,\ 15,451 +22\\\\=15429,\ 15473

For x=15429

z=\dfrac{15429-15451}{\dfrac{546}{\sqrt{350}}}\approx-0.75

For x=15473

z=\dfrac{15473-15451}{\dfrac{546}{\sqrt{350}}}\approx0.75

The required probability :-

P(15429

Hence, the required probability is 0.5467.

3 0
3 years ago
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