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1 year ago

Identify the vertex of the function, F(x) =3(x-1)2 + 5.

Mathematics

1 answer:

agasfer [191]1 year ago

8 0

Answer:

(

)

(

−

)

Use the vertex form,

(

−

)

, to determine the values of

, and

Find the vertex

(

)

(

)

image of graph

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The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a

devlian [24]

Answer:

f/m=a

Step-by-step explanation:

I think that's right but idk

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2 years ago

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

2 years ago

Calculate the percent of change: 50 pounds to 35 pounds.

Vladimir [108]

30 percent change is the answer

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2 years ago

2.50+ 1.50(m-1)=17.50

neonofarm [45]

Answer: m = 11

Step-by-step explanation: Isolate the variable by dividing each side by facotrs that don't contain the variable.

Hope this helps you out! ☺

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3 years ago

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According to the order of operations, which of the following operations should be completed first in the following expression?

lukranit [14]

Answer:simplify (5-3)

Step-by-step explanation:

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2 years ago