All categories

3 years ago

Missing the y-value in the table?

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

-1

Step-by-step explanation:

The constant rate of change is -y for every one x.

You might be interested in

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

Please someone help on this

Phantasy [73]

Answer:

1 solution

no solution

infinitely many

1 solution

Step-by-step explanation:

1. 2.3x-7=-7

2.3x=0

x=0

2. 3x=5+3x

0x=5

x=5/0

That’s undefined

3. 40-4x=4(10-x)

40-4x=40-4x

They both are equal no matter what. So, infinitrly many

4. -7+x=-(x+7)

-7+x=-x-7

2x=0

x=0

1 solution I.e 0

6 0

3 years ago

Read 2 more answers

Please help me with this please

jekas [21]

24/100 like NewTube
30/100 like Friendspace
14/100 like NaviChat
12/100 like other
20/100 like none

100 - 20 = 80
Therefore, exactly 80% of the grandparents have a favourite social media website. The first statement is most likely to be correct

5 0

3 years ago

Find the slope of the line that passes through 10, -8 1,12

photoshop1234 [79]

Answer:

im really bad at math but here

Step-by-step explanation:

hi my

5 0

3 years ago

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

expeople1 [14]

Well, since we are using the Pythagorean theorem, i would suppose that the other side length of the triangle would be 4 centimeters, because of the 3, 4, 5 rule.

4 0

3 years ago