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3 years ago

A.) f(x)=3x^2-18x+27.

2 answers:

8 0

A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none
y-intercepts: (0,-9)

lions [1.4K]3 years ago

8 0

(b) is relatively easy. Since there is no middle term, the graph is that of a parabola with vertex at (0, -9), opening downward due to the (-) sign

In (a), we have 3x^2-18x+27 = f(x). 3 can be factored out: f(x) =3(x^2-6x+9).

Can you see that this is already a perfect square? So f(x) = 3(x-3)^2 + 0.

The vertex is at (3, 0). Place a black dot at that point on graph paper. Because the leading coeff. of 3x^2-18x+27 is +, the parabola opens UP. The y-intercept is found by letting x=0: f(0) = 3(0)^2 - 18(0) + 27 => (0,27).

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[Help Asap, I will mark brainliest] In the figure below, g, || l. Find the values of y and x.

ohaa [14]

Answer:

x = 23

y = 110

Step-by-step explanation:

70 and 3x+1 are alternate exterior angles and that means they are equal

70 =3x+1

Subtract 1 from each side

69 = 3x

Divide by 3

69/3 =3x/3

23 =x

70 and y are same side exterior angles and that means they are supplementary ( add to 180)

70+y = 180

y = 180-70

y = 110

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3 years ago

Flora is making salsa for a party. Every 1 cup of chopped tomatoes makes 2 3/4 cups of salsa. She uses 1 2/3 cups of tomatoes. H

pogonyaev

Answer:

4 $\frac{7}{12}$ cups of Salsa.

Step-by-step explanation:

Flora is making Salsa for a party.

Every 1 cup of chopped tomatoes makes 2 $\frac{3}{4}$ = $\frac{11}{4}$ cups of Salsa

She uses 1 $\frac{2}{3}$ = $\frac{5}{3}$ cups of tomatoes

1 $\frac{2}{3}$ cups of tomatoes makes:

$\frac{5}{3}$ × $\frac{11}{4}$ ÷ 1 = $\frac{55}{12}$ = 4 $\frac{7}{12}$ cups of Salsa.

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3 years ago

A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th

alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

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3 years ago

12) You can exchange $5 US dollars for L123 Honduran Lempiras. How many dollars can you exchange L2,300 for? ----

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Step-by-step explanation:

$5 US dollar = L123 Honduran Lempiras

L2300Honduran Lempiras = x ( Let $ be x)

By using chain rule, we get

5×2300 = 123×x

or, 11500 = 123x

or, x = 11500÷123

hence, x = 93.49593496

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1 year ago

A box contains a $1 bill, a $5 bill, a $10 bill, and a $20 bill. If two bills are selected at random what is the probability tha

pshichka [43]

Answer:

50%

Step-by-step explanation:

Because you can get either 1 and 5 which is 6 or 10 and 1 whoch is 11 but the other two will give you 15+

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3 years ago

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