Which is the graph of f(x) = (2)* ?

To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.

The correct option is f(x) = –2(x – 2)(x – 4).

Given:

The x-intercepts at (2, 0) and (4, 0).

The y-intercept of (0, –16).

The nature of the graph is quadratic curve. Write the general equation for x-intercept.

[tex]y=a(x-2)(x-4)[/tex]

Where is [tex]a[/tex] number

Substitute 0 for [tex]x[/tex].

[tex]y=a(0-2)(-4)\\y=8a[/tex]

We have y-intercept of (0, –16).

[tex]-16=8a\\a=-2[/tex]

The equation would be,

[tex]f(x) = -2(x - 2)(x - 4).[/tex]

Thus, the correct option is f(x) = –2(x – 2)(x – 4).

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thank you very much for this! :)

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Answer:

x=15

Step-by-step explanation:

360-330=30

30/2=15

x=15

hope that helps

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thank you

The fraction of the time given in a day is 1/288

Given the following parameters

We are to get the fraction of this time in a day.

Convert 1 day to minute

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

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Answer:

which solution are you looking for?

Step-by-step explanation:

Solving for X would be: x<0

Graph inequality would be the left side shaded i think

Answer:

Step-by-step explanation:

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Step-by-step explanation:

Volume = length ×width × height

therefore

5cm× 6cm×2cm=volume

60cm³= volume

Volume = length ×width × height

1200mm³=20mm×10mm×H

1200mm³=200mm²×H

1200mm³/200mm²=200mm²/200mm²×H

6mm= H

Volume = length ×width × height

72m³=L×3m ×6m

72m³= L× 18m²

72m³/18m²= L×18m²/18m²

4m =L

Volume = length ×width × height

256cm³=8cm ×w×8cm

256cm³=64cm²×w

256cm³/64cm²=64cm²/64cm²×w

4cm=w

Volume = length ×width × Height

379.6m³=5.2m×7.3m×H

379.6m³=37.96m²×H

379.6m³/37.96m²=37.96m²/37.96×H

10m=H

Volume = length ×width × Height

288mm³=L×12mm×8mm

288mm³= L×96mm²

288mm³/96mm²= L×96mm²/96mm²

3mm=L

Answer:

P = 3.86n

Step-by-step explanation:

the price will be how many sets you buy multiplied by the price.

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

Answer:

  49 in

Step-by-step explanation:

The circumference of a circle with radius r is ...

  C = 2πr

The disc with the given radius has a circumference of ...

  C = 2π(7.75 in) ≈ 49 in

Answer:

can you show me a better picture your problems are cut off

Step-by-step explanation:

Answer:

You didnt put anything for me to see lol

Step-by-step explanation:

Answer:$44.69

Step-by-step explanation:

Original cost = $45.87

Cost with sales = 45.87 x 0.10 since 10% is 0.10 as a decimal

New cost = (45.87) - (45.87 x 0.10)

=$41.283

Cost with tax  = 41.283 x 1.0825       <- 8.25% is 0.0825 as a decimal

= $44.69

Answer:

$44.69

Explanation

10 Percent of $45.87 is 4.587 rounded to the nearest hundredth is $4.59.

$45.87 - $4.59 is $41.28

8.25% of $41.28 is 3.4056 rounded to the nearest hundredth is $3.41.

$41.28 + $3.41 is $44.69

Step-by-step explanation:

please mark me as brainlest

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

3/ 8

of a cup.

Explanation:

You want half of the recipe, so you want half of

3/4

of a cup.

Of means multiplication when it comes to fractions, so multiply

3/4  by 1/2 to get 3/4 ⋅ 1/2 = 3/8

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

Answer:

D

Step-by-step explanation:

Substituting any value of x does not make the expressions equivalent. Replacing x for any two different values would equate to different unequal values.

Answer:

3

Step-by-step explanation

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

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Step-by-step explanation:

=

38.64=9.2h/2

=

38.64=4.6h

=

h = 38.64/4.6

h = 8.4

thats it

[tex]\dfrac{0.8\times 0.04}{0.5}\\\\\\=\dfrac{\tfrac 8{10} \times \tfrac 4{100}}{\tfrac 5{10}}\\\\\\=\dfrac{\tfrac 45 \times \tfrac 1{25}}{\tfrac 12}\\\\\\= \dfrac 4{125} \times 2\\\\\\=\dfrac 8{125}[/tex]

Answer:

B.  y = 1/3x + 3

Step-by-step explanation:

Answer:  I think the answer is B

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.