Instructions: Given the vertex of a quadratic function, find the axis of symmetry. (-1,3)

(6+23) x (32-25) + 72 I just need to see what the answer is to check my work

Vlad1618 [11]

Answer:

275

Step-by-step explanation:

6+23=29 and 32-25=7

29 x 7 = 203

203 + 72 = 275

The final answer is 275.

Hope this helps!

7 0

3 years ago

Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n - 1 b) f(n) = n2 + 1 c) f(n) = nº d) f(n) = [n/

sesenic [268]

Answer: The correct option is

(a) f(n) = n - 1.

Step-by-step explanation: We are given to determine whether the given functions are one-to-one or not.

We know that a function y = f(x) is one-to-one if and only if

f(x) = f(y) ⇔ x = y.

That is, any two distinct elements cannot have the same image.

(a) The given function is

$f(n)=n-1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow n_1=n_2.$

Similarly,

$n_1=n_2\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow f(n_1)=f(n_2).$

So, this function is one-to-one.

(b) The given function is

$f(n)=n^2+1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1^2+1=n_2^2+1\\\\\Rightarrow n_1^2=n_2^2\\\\\Rightarrow n_1=\pm n_2.$

That is, there may be two unequal elements having same image.

For example, f(-1)=(-1)²+1=1+1=2, f(1)=(1)²+1=1+1=2.

It implies that f(-1)=f(1) but 1 ≠ -1.

So, the given function is not one-to-one.

(c) The given function is

$f(n)=n^0.$

Here, the image of all the elements is 1.

For example, $f(2)=2^0=1,~~f(3)=3^0=1.$

f(2)=f(3) but 2≠3.

So, more than one element is having the same image and so the function cannot be one-to-one.

(d) The given function is

$f(n)=\left[\dfrac{n}{2}\right].$

Here, we see that

$f(2)=\left[\dfrac{2}{2}\right]=[1]=1,\\\\\\f(3)=\left[\dfrac{3}{2}\right]=[1.5]=1.$

So, f(2)=f(3) but 2≠3.

So, the given function is not one-to-one.

Thus, the correct option is (a).

5 0

4 years ago

A company, Second Brain, produces calculators. It costs them $750 operating cost per week plus $6 per case of calculators manufa

musickatia [10]

A.

Operating cost = $750

Working hours per day = 10

Total working hours per week = 70

Number of cases produced per hour = 50

So, number of cases produced in a week = 50 × 70 = 3500

If x is the manufacturing cost per hour, then

Manufacturing cost for 3500 cases produced in a week = 3500x.

Total cost = Operating cost + Manufacturing cost

Hence, total cost C(x) = 750 + 3500x.

B.

Number of cases produced in 1 hour = 50

Number of cases produced in t hours = 50t.

Cost per case = $6.

Amount of cases produced in t hours x(t) = 6 × 50t = 300t.

C.

C(x(t)) = C(300t) = 750 + 300t.

5 0

3 years ago

Read 2 more answers

Which angle bisector was created by following the construction steps correctly? How do you know?

Romashka-Z-Leto [24]

Answer:

Here we have the angle with a vertex B

Where B is the vertex of this triangle.

The steps to construct the bisector is:

Put the tip of the compass in the vertex, and draw a curve that intersects both rays of the triangle, the points where the curve intersects the rays of the angle will be called A and C.

Now, with the radius in the compass fixed, place the point in the compass on point A and draw a curve.

Then do the same in point C.

The point where both lines intersect, D, will define the bisector of the angle.

Then the correct option is the second image.

The problem of the first image is that the first step is done wrong because the points A and C were created with different radius in the compass. Then the distance between A and B is different than the distance between B and C.

4 0

3 years ago

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.

astra-53 [7]

Ok so easy peasy
remember that when divide or multiply by negative, reverse the inequality symbol example
2>3 times -1=
-2<-3 so

-150x>-2400
divide both sides by -150
flip sign
x<16

-336>-21y
divide both sides by -21
flip sign
16<y

they seem to have the same solution

x=y>16

4 0

3 years ago

Read 2 more answers