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4 years ago

Use the graph below to fill in the blank with the correct number:

Mathematics

2 answers:

Burka [1]4 years ago

6 0

Answer:

The value of f(-2) would be 2.

Step-by-step explanation:

We need to find :

f( -2) i.e. the value of f at x = - 2,

In a order pair first value shows the input and second value shows its output,

Here, the graph of the function f(x) passes through the points (-3, 0), (-2, 2), (0, 1) and ( 1, -2),

Thus, f(-3) = 0,

f(-2) = 2,

f(0) = 1,

f(1) = -2

Hence, the value of f(-2) is 2.

Colt1911 [192]4 years ago

3 0

f(-2) = 2, this is because where x = -2, y = 2

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The following random sample from a population whose values were normally

vodomira [7]

Answer:

f urself

Step-by-step explanation:

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4 years ago

Help me with this plz no links

Kisachek [45]

Answer:

29,344.87 feet

Step-by-step explanation:

Tall Mountain is 8606.37 feet higher than Mt. Might. Let's replace the missing number with x.

Let's set up an equattion:

x = 20,738.5 + 8,606.37

Now let's solve the equation.

20,738.5 + 8,606.37 = 29,344.87

Add feet after the answer.

29,344.87

6 0

2 years ago

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Quadrilateral ABCD is located at A(-2,2), B(-2,4) and D(2,2). The quadrilateral is then transformed using the rule (x+2,y-3) to

Kay [80]

The rule is x+2, y-3 so you apply it to each of these coordinates. Right 2, down 3.
A(-2,2) -> A'(0,-1)
B(-2,4) -> B'(0, 1)
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7 0

4 years ago

Can somebody please help me with this

enot [183]

Step-by-step explanation:

x²-8x+15= 0

x²-2*1*4*x+ 16-1=0

x²-2*1*4*x+4² = 1

(x-4)² = 1

x-4 =1 or x-4= -1

x= 5 or x=3

so the solutions are 5 and 3

r²+18r+56=0

r²+2*1*9*r+ 81-25=0

r²+2*1*9*r+9² = 25

(r+9)² = 25

r+9 = 5 or r+9 = -5

r= -4 or r = -14

so the solutions are -4 and -14

x²+2x-24=0

x²+2*1x +1-25=0

x²+2*1*x+1² = 25

(x+1)² = 25

x+1= 5 or x+1= -5

x = 4 or x= -6

so the solutions are 4 and -6

p²+12p-54 = 0

p²+2*6*p+36-90=0

p²+2*6*p+6² = 90

(p+6)² = 90

p+6 = √90 or p+6 = -√90

p = √90-6 or p= -√90-6

m²-6m-55= 0

m²-2*3*m+3²-64=0

(m-3)² = 64

m-3 = 8 or m-3 = -8

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4 0

3 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