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Harman [31]
3 years ago
12

Identify the constant term in the function. y=−x2+3x−4

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

constant term in any function is the term whose value does not change on variation of other parameters or in other case. We can also say constant term is independent of variable parameters.

take example

y = x + 3

here 3 is constant term which will not change either I change x or y . 3 is independent . it's just helps equation to hold information that overall in equation its matter.

so in given problem -4 is the constant

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A 14-ounce box of cereal sells for $2.10. What is the unit rate?
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Answer:

The unit rate is equal to 0.15\frac{\$}{ounce}

Step-by-step explanation:

we know that

The unit rate is the ratio of two measurements in which the second term is equal to one

In this problem to find the unit rate, divide the total cost of cereal by the total weight of cereal

so

\frac{2.10}{14}\frac{\$}{ounces} =0.15\frac{\$}{ounce}

therefore

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7 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
mash [69]

Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

y=-16x^2+165x+69

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>

<em />0=-16x^2+165x+69<em />

We can use the quadratic formula:

\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.

Substitute:

\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}

Evaluate:

\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}

Hence, our solutions are:

\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40

Since time cannot be negative, we can ignore the first answer.

So, the rocket hits the gorund after approximately 10.71 seconds.

7 0
2 years ago
Which graph represents the function f(x) = −|x − 2| − 1?
Leviafan [203]
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