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3 years ago

Find the minimum or maximum value of the function. What is the H? (Desmos)

Mathematics

1 answer:

beks73 [17]3 years ago

4 0

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3( $x^{2}$ -4x)+16

=3( $x^{2}$ -4x+4-4)+16 (- For the balance of equation, and attention 1)

=3 $(x-2)^{2}$ -3*4+16

=3 $(x-2)^{2}$ +4

<h3>Attention:</h3>

1. $(a-b)^{2}=a^{2} -2ab+b^{2}$

2. The formula for the vertex form is y = $a(x-h)^{2}+k$ , the vertex is (h,k)

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The equation $1.50p + $5.00 = $14.00 shows the total cost of picking p pounds of blueberries at a local blueberry farm. How many

julia-pushkina [17]

First we need to subtract $5 from both sides. That gives us the new equation 1.50p = 9. Then, divide 9 by 1.5, which gives you the answer. 9/1.5 = 6.

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3 years ago

Which expression is equivalent to 2cos2(x/2)-cos(x)

Pavel [41]

Answer:

Step-by-step explanation:

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3 years ago

A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

POSSIBLE POINTS

Mamont248 [21]

Answer:

The answer is 131 people

Step-by-step explanation:

I'm not too sure about equations bc its been a min since I've done them but maybeeeee it's 26x - (1,575) = 5,000 something like that LOL

All I know is that you have to subtract 1575 from 5,000 and then you get 3,435 dollars left and you divide that by 26 people and you get 131.731 but of course you can't have a half of person so it stays at 131.

Hopefully that helped lol

5 0

3 years ago

Which statement is generally true about retirement?

nexus9112 [7]

The general statement that is true about retirement is B. your income will decrease, while your expenses will increase.

Retirement is the leaving of one's of occupation. This means you cease to be involved in active service in a job or occupation especially when one is considered old and of retirement age.

During retirement, retirement benefits and pension are usually made available to retirees. However, one's income will come to a decline which makes most people scared of retirement. Keeping up with the standard of living they are used to becomes difficult as income to sustain such may not be available.

Therefore, the general statement that is true about retirement is B. your income will decrease, while your expenses will increase.

Learn more about retirement on:

brainly.com/question/3063811

4 0

2 years ago