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3 years ago

NUMBER 2 AND 3. GIVING BRAINLIEST!!

Mathematics

2 answers:

Licemer1 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

2)a)

$2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\$

$a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\$

nordsb [41]3 years ago

5 0

Answer:

2. a. 11/4

b. 8/6

3. a. 2 1/6

b. 3 2/3

Step-by-step explanation:

So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.

For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.

You might be interested in

The model represents the equation x - 1 < -4. What is the solution for the inequality?

Step2247 [10]

Answer:

any number equal to or less than -4

Step-by-step explanation:

x - 1 < -4

< represents that -4 is a larger number than x - 1. we know that -4 is a negative number, so anything below -4 would be less. x = -4 would be a good solution, but the reality is that any number equal to or less than -4 is the correct answer. I hope this helps!

7 0

3 years ago

Which expression is equivalent to

Kruka [31]

Answer:

B) 1/x^2

Step-by-step explanation:

Simplify the following:

x^9/x^11

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.

Combine powers. x^9/x^11 = x^(9 - 11):

x^(9 - 11)

Hint: | Evaluate 9 - 11.

9 - 11 = -2:

Answer: x^(-2) = 1/(x^2)

5 0

2 years ago

For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec

telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

$4sin(x^2) = 0$

$sin(x^2) = 0$

$x^2 = n\pi$ where n = 0, 1, 2,3, 4, 5,...

$x = \sqrt(n\pi)$

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

$f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0$

$xcos(x^2) = 0$

$x = 0$ or

$cos(x^2) = 0$

$x^2 = \frac{\pi}{2} + n\pi$ where n = 0, 1, 2, 3

$x = \sqrt{\pi(n+1/2)}$

Since we are restricting x between 0 and 3 we can stop at n = 2

So our critical points are at

x = 1.25, $y = f(1.25) = 4sin(1.25^2) = 4$

x = 2.17 , $y = f(2.17) = 4sin(2.17^2) = -4$

x = 2.8, $y = f(2.8) = 4sin(2.8^2) = 4$

For the inflection point, we can take the 2nd derivative and set it to 0

$f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0$

$cos(x^2) = 2x^2sin(x^2)$

$tan(x^2) = \frac{1}{2x^2}$

We can solve this numerically to get the inflection points are at

x = 0.81, $y = f(0.81) = 4sin(0.81^2) = 2.44$

x = 1.81, $y = f(1.81) = 4sin(1.81^2) = -0.54$

x = 2.52, $y = f(2.52) = 4sin(2.52^2) = 0.27$

3 0

3 years ago

I Need help with question 21 and 22 !

USPshnik [31]

11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)

7 0

3 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

hodyreva [135]

Answer:

x ≈ 11.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{13}$ ( multiply both sides by 13 )