Decrease 26 by the product of 3 and some number<br> PLSSS HELPPO :(((

Determine which two equations have nonlinear graphs.

vodomira [7]

The slope-intercept form of linear function:

$y=mx+b$

$y=2x^3$ - nonlinear

$y=3x$ - linear

$y=2x+\dfrac{1}{2}$ - linear

$y=x^2+2$ - nonlinear

$y=0.5x+3$ - linear

3 0

4 years ago

Cos pi/4 cos pi/6= 1/2(___pi/12+cos 5pi/12) fill in the blank

inessss [21]

Answer:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So the blank is cos.

Step-by-step explanation:

There is an identity for this:

$\cos(a)\cos(b)=\frac{1}{2}(\cos(a+b)+\cos(a-b))$

Let's see if this is fit by your left hand and right hand side:

So $a=\frac{\pi}{4}$ while $b=\frac{pi}{6}$ .

Let's plug these in to the identity above:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

Ok, we definitely have the left hand sides are the same.

Let's see if the right hand sides are the same.

Before we move on let's see if we can find the sum and difference of $\frac{\pi}{4}$ and $\frac{\pi}{6}$ .

We will need a common denominator. How about 12? 12 works because 4 and 6 go into 12. That is 4(3)=12 and 6(2)=12.

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{3\pi}{12}+\frac{2\pi}{12}=\frac{5\pi}{12}$ .

$\frac{\pi}{4}-\frac{\pi}{6}=\frac{3\pi}{12}-\frac{2\pi}{12}=\frac{\pi}{12}$ .

Let's go back to our identity now:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{4}+\frac{\pi}{6})+\cos(\frac{\pi}{4}-\frac{\pi}{6}))$

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{5\pi}{12})+\cos(\frac{\pi}{12}))$

We can rearrange the right hand side inside the ( ) using commutative property of addition:

$\cos(\frac{\pi}{4})\cos(\frac{\pi}{6})=\frac{1}{2}(\cos(\frac{\pi}{12})+\cos(\frac{5\pi}{12}))$

So comparing my left hand side to their left hand side we see that the blank should be cos.

4 0

3 years ago

SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST ‼️‼️PLEASE ‼️‼️

enot [183]

Answer:

C.

Step-by-step explanation:

3 0

3 years ago

Let f(x) = -4x + 7 and g(x) = 2x - 6. Find (f o g)(1)

laila [671]

Same thing,

f(g(1))
=f(2(1)-6)
=f(-4)

f(-4)
=-4(-4)+7
=16+7
=23

5 0

4 years ago

Read 2 more answers

Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for peo

frozen [14]

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

The sample size is n = 16

The population proportion = 0.5

The number that of students that picked out the teachers dog is k = 14

Generally the sample proportion is mathematically represented as

$\^ p =\frac{k}{n}$

=> $\^ p =\frac{14}{16}$

=> $\^ p = 0.875$

The null hypothesis is $H_o : p = 0.5$

The null hypothesis is $H_o : p > 0.5$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }$

$z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }$

$z = 3$

Generally the p-value is mathematically represented as

$p-value = P(Z > 3)$

From the z table the probability of Z>3 is mathematically represented as

$P(Z > 3) = 0.0013499$

So

$p-value = 0.0013499$

Let assume the level of significance is $\alpha = 0. 05$

Generally from the value obtained we see that $p-value < \alpha$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

3 0

4 years ago

Decrease 26 by the product of 3 and some number PLSSS HELPPO :(((