H(x) = 5х+2.0х 3 - 45х-180х. factor the polynomial

Ose has 50 coins in a jar. 20% are nickels, 40% are quarters, and the rest are pennies. (6.RP.3c-Benchmark #3)

cupoosta [38]

Answer:

Part A: 40% are pennies

Part B: NIckels 10, Quarters 20, Pennis 20

5 0

3 years ago

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

so

The function cross the x-axis twice

see the attached figure

5 0

4 years ago

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Mary pumped 7 gallons of water out of her pool each minute for 63 minutes. What was the total change in the amount of water in t

ruslelena [56]

Answer:

The amount of water is 30 gallons a minute

5 0

3 years ago

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Ebony's bank balance 1st reached $400 on Day 4. The last day her balance was $400 was Day 8.

Tanya [424]

Ebony’s bank balance is $400 was Day 8 and this can be explained below.

<h3>How to explain the information?</h3>

Jade cannot be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400.

Note that the scenario for the above to occur is:

On day 4, her balance = $400

On day 5, her balance = $40

On day 6, her balance = $400

On day 7, her balance = $400

On day 8, her balance = $400

Another fact is that since she deposited 400 at first, on day 8, there will be a 0 increase so the amount will still be 400.

Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.

Learn more about estimation on:

brainly.com/question/107747

#SPJ1

6 0

2 years ago

what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neare

seraphim [82]

Answer:

V≈25.13in³

Step-by-step explanation:

4 0

2 years ago

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