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2 years ago

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics

2 answers:

Rufina [12.5K]2 years ago

6 0

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Ulleksa [173]2 years ago

3 0

I was going to help you with this one but it looks like you got it all covered !!!!

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If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))

sp2606 [1]

Answer:

$f(g(-2))=-134$

Step-by-step explanation:

So we have the two functions:

$f(x)=7x+6\text{ and } g(x)=8x-4$

And we want to find f(g(-2)).

First, let's find g(-2):

$g(-2)=8(-2)-4$

Multiply:

$g(-2)=-16-4$

Subtract:

$g(-2)=-20$

Now, substitute:

$f(g(-2))=f(-20)$

Now, find the value of f(-20):

$f(-20)=7(-20)+6$

Multiply:

$f(-20)=-140+6$

Add:

$f(-20)=-134$

So:

$f(g(-2))=-134$

And we're done!

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2 years ago

One of your responsibilities as a line cook is to

vfiekz [6]

Answer: 72

Step-by-step explanation:

If all the sandwiches will have a slice of cheese, you just need to add up all of the sandwiches order (28 + 14 + 30 = 72)

5 0

2 years ago

The difference of two number is 28. if one number is 11, find the other number

Leno4ka [110]

Answer:

Step-by-step explanation:

difference=28

other number=11

so:

11+28=39

39 is your other number

7 0

2 years ago

Read 2 more answers

Solve for x.

konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

$\frac{x}{15}=\:\frac{12}{20}$

Cross Multiply the expression

$\:20\times x=12\times 15$

Divide both sides by 20

$\frac{20x }{20}=\frac{180}{20}$

$x=9$

Therefore, the value of x = 9

5 0

2 years ago

Is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?

Genrish500 [490]

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

${ \sin }^{2} theta \: + {cos}^{2}theta = 1$

${cos}^{2} \: theta = 1 - {sin}^{2} \: theta$

$cos \: theta = \sqrt{1 - { \sin }^{2}theta }$

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

7 0

2 years ago