Consider function f.



Which graph represents function f?

Answer:

399.30

Step-by-step explanation:

12.10 times 33 hours equals 399.30

Answer: 399.3

Step-by-step explanation: 12.10 x 33 = 399.3

Answer:

Part A: the parabola opens upwards

Part B: [tex]x=\frac{3}{2}[/tex]

Part C: The vertex point is [tex](\frac{3}{2},-\frac{1}{2})[/tex]

Part D: [tex]y=4[/tex]

Part E: [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=2x^{2}-6x+4[/tex]

Where the coefficients are:

a = 2

b = -6

c = 4

Part A:

Here we can see that the leading coefficient of our parabola (a = 2) is positive, so by the definition, the parabola opens upwards.    

Part B:

The axis of the symmetry equation is given by:

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-6)}{2(2)}[/tex]

[tex]x=\frac{6}{4}[/tex]

[tex]x=\frac{3}{2}[/tex]

Part C:

The vertex is the minimum point of our parabola.

Using the x value founded in Part B we can find f(x)=y.

[tex]y=2(3/2)^{2}-6(3/2)+4[/tex]

[tex]y=2(9/4)-6(3/2)+4[/tex]

[tex]y=(9/2)-3(3)+4[/tex]

[tex]y=(9/2)-9+4[/tex]

[tex]y=-\frac{1}{2}[/tex]

Therefore, the vertex point is [tex](\frac{3}{2},-\frac{1}{2})[/tex]

Part D:

To get the y-intercept we just need to do x = 0.

[tex]y=2(0)^{2}-6(0)+4[/tex]

[tex]y=4[/tex]

The y-intercept is (0,4)

Part E:

To get the x-intercept we just need to do y = 0.

[tex]0=2x^{2}-6x+4[/tex]

[tex]2(x-2)(x-1)=0[/tex]

[tex]x_{1}=1[/tex]

[tex]x_{2}=2[/tex]

The x-intercept is (1,0) and (2,0)

I hope it helps you!

Answer:

d is the correct answer in this problem

Answer:

B

Step-by-step explanation:

To find how many hours she worked you must divide $65 by $5 and B is the only equation where you can do that.

Answer:

Step-by-step explanation:

Marta made a mistake at step 1

Property to be used

Answer: c(h) = 65+52.50h

Step-by-step explanation:

Given: per hour cahrge = $52.50

Service charge = $ 65

Total money charged by plumber = Service charge+(per hour change) (Number of hours)     ...(i)

If c(h) = Total cost of the bill for h hours.

Then, c(h) = 65+52.50h    [Substitute all values in (i)]

The required function: c(h) = 65+52.50h that represents the cost of the total bill.

Answer:

i think it's D

Step-by-step explanation:

if not im sooooooooooooooooooooooooo sorry

Answer:

the correct answer is B if i do believe so

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Remark

Start with the meaning of g[f(x)]. This when you write g(x), where ever you see and x in g(x), put in an f(x)

g(f(x))

g(x)= x + 1                     Substitute f(x) for x

g(f(x)) = f(x) + 1              Substitute x^2 for f(x)  

g(f(x)) = x^2 + 1              

g(f(-2)) = (-2)^2 + 1        Substitute -2 for x

g(f(-2)) = (4) + 1              

g(f(-2)) = 5          

Answer:

only Shawna and Dexter

Step-by-step explanation:

Answer:

Shawna and Dexter

Step-by-step explanation:

Thx fa da free points

Answer:

3

Step-by-step explanation:

just trust me

Answer:

SA=2lw+2lh+2hw

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

[tex]3x^{2}+26x+48[/tex]

Step-by-step explanation

Just in case you need to solve it, I'm using distributive property:

[tex]3x(x+6) + 8(x+6)[/tex]

[tex]3x^{2}+18x+8(x+6)[/tex]

[tex]3x^{2}+18x+8x+48[/tex]

[tex]3x^{2}+26x+48[/tex]

Answer:

We conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

Step-by-step explanation:

Please check the attached diagram.

In the attached diagram:

From the diagram, we can easily identify that both lines meet or intersect at x = -4 and y = 0.

In other words, the point of intersection of the system of equations is:

(x, y) = (-4, 0)

We know that the point(s) of the intersection of the system of equations represents the solution of the system of equations.

Therefore, we conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

Answer:

m=5

Step-by-step explanation:

You use the slope formula to find your answer.

Answer: Newton's law of universal gravitation is represented by F = GMm/r2 where F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg · m/s2.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you think of it as a graph the y intercept is -430, meaning that after 0 minutes it's at -430 (it started at -430).

Because you multiply the number of minutes by 38, that means it ascends by 38 meters every minute.

Answer:

125

Step-by-step explanation:

we have

x*.28= 35

we divide both sides by .28 and get

x= 125

and 28% of 125 = 35

Hope it helps !

[tex]\text{35 is 28\% of what \# ?}[/tex]

[tex]\bold{Equation: y = \% \times \ \# }[/tex]

[tex]\bold{We\ should\ now\ start\ looking\ for\ your\ unknown\ number}[/tex]

[tex]\bold{\# =\dfrac{y}{\%}}[/tex]

[tex]\bold{y=35}[/tex]

[tex]\%=28[/tex]

[tex]\bold{\#=\dfrac{35}{28\%}}[/tex]

[tex]\text{Convert 28\% to decimal}[/tex]

[tex]\bold{28\% =\dfrac{28\%}{100}=0.28}[/tex]

[tex]\bold{New\ equation: \dfrac{35}{0.28}}[/tex]

[tex]\bold{Simplify\ the\ one\ above\ and\ you\ have\ your\ mystery\ number}\uparrow[/tex]

[tex]\boxed{\boxed{\bold{Answer: 125}}}\checkmark[/tex]

~[tex]\frak{Amphitirite1040}[/tex]

Answer:

[tex]y = 2x-5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,1)[/tex]

Parallel to: [tex]y = 2x + 3[/tex]

Required

Determine the line equation

First, we calculate the slope of [tex]y = 2x + 3\\\\[/tex]

For an equation in the form [tex]y = mx + c[/tex]

[tex]m = slope[/tex]

So, by comparison:

[tex]m = 2[/tex]

The line equation is then calculated:

[tex]y - y_1 = m(x - x_1)[/tex]

Where [tex](x_1,y_1) = (3,1)[/tex] and [tex]m = 2[/tex]

So, we have:

[tex]y - 1 = 2(x - 3)[/tex]

[tex]y-1 = 2x-6[/tex]

[tex]y = 2x-6+1[/tex]

[tex]y = 2x-5[/tex]

Answer:

-3x/2

Step-by-step explanation:

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

Answer:

n = -2

Step-by-step explanation:

remove () from equation so its 1-2n-9=4× -1

calculate the differences and multiply

-8-2n=-4

move the constant to the right of the equation  -2n=-4+8

calculate the sum -2n=4 divide both sides of equation by -2  

and boom n=-2

Complete question :

Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if she has to open a second bag of chocolate chips? Enter your answer in the box.

Answer:

4 batches

Step-by-step explanation:

Fraction of a bag of chocolate used per batch = 3/10 of a bag

Least number of batches that must be made if a second bag must be open :

Number of batches that can be made from the first bag :

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

If another bag will be open, the it will be used to complete the incomplete batch. Hence, the least number of batches that can be made will be 4

Answer:

4 batches

Step-by-step explanation:

Number of batches that can be made from first bag:

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

Adds up to 4 batches

Answer:

B

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Substituting x=-1

=> 3(-1)²-5

=> -3-5

=> -8

Answer:

=93

Step-by-step explanation:

30−(7)(−9)

=30−(−63)

=93

Answer:

93

Step-by-step explanation:

Substitute x = -9 into the equation:

30 - 7 * (-9)

= 30 + 63

= 93