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Lostsunrise [7]
2 years ago
14

10 PTS!! PLEASE HELP ALGEBRA 1 MATH!

Mathematics
1 answer:
topjm [15]2 years ago
6 0
#1)
incorrect slope is 
  y2 - y1
-------------
  x1 - x2

answer is B


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Integrate sin²2x cos²2xdx
Masteriza [31]
\sin^2x=\dfrac{1-\cos2x}2
\cos^2x=\dfrac{1+\cos2x}2

From the identities above, you have

\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4

Applying once more, you have

\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8

So,

\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C
3 0
3 years ago
Solve for x in the equation 2x^2 - 5x + 1 =3
S_A_V [24]

The answer is x plus or minus 5 minus square root 41 all over 4

3 0
2 years ago
Read 2 more answers
“If a population is growing at a rate of 3% per year, how long will it take to double? Show work.”
LenaWriter [7]
24 yrs, might not be the answer

3%=0.03 you have to get to 6%=0.06

So you find the value of each month in 3%

So 3% divided by 12 months = 0.0025

Now you have the value of each month MULTIPLY until you get 0.06
So: 0.0025 x 1, 2, 3, 4,…….. and so forth

So the your result will be

0.0025per months x 24yrs = 0.06 = 6%

24 years
6 0
3 years ago
The function f(x)=3x+12x+11 can be written in vertex form as?
solmaris [256]
 y = -3(x<span> - 2)^2 + 1 </span>x<span>-coordinate of vertex: </span>x<span> = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 </span>Vertex form: y = -3(x<span> - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(</span>x^2 - 4x + 4) + 1 = -3x<span>^2 + </span>12x<span> - </span>11<span>. </span>
7 0
3 years ago
There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many
Butoxors [25]

Answer:

The number of boys in the course will be = 140

Step-by-step explanation:

Given:

Total number of students enrolled in an introductory biology course = 364

There are 5 boys to every 8 girls in the course.

To find how many boys are in the course.

Solution:

Since, there are 5 boys to every 8 girls in the course.

So, ratio of boys to girls enrolled in the course = 5 : 8

Let the number of boys in the course be = 5x

Then number of girls in the course will be =  8x

Total number of students would be given as:

⇒ <em>Number of boys + Number of girls</em>

⇒ 5x+8x

⇒ 13x

Total number of students given = 364.

Thus, we have:

13x=364

solving for x

Dividing both sides by 13.

\frac{13x}{13}=\frac{364}{13}

∴ x=28

So, number of boys in the course will be = 5\times 28 = 140

5 0
3 years ago
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