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2 years ago

If k(x) = x2 and p(x) = k(x) + n, what is the value of n?

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

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What is the difference between exponent form and expanded form (repeated multiplication)?

Inga [223]

Expanded FormExpanded form refers to a base and an exponent written as repeated multiplication. ExponentExponents are used to describe the number of times that a term is multiplied by itself. ExpressionAn expression is a mathematical phrase containing variables, operations and/or numbers.

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3 years ago

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

ANEK [815]

Answer:

$r=4$

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

$y-(3)=-1(x-(-9))$

Simplify:

$y-3=-(x+9)$

Distribute:

$y-3=-x-9$

Add 3 to both sides. So, our equation is:

$y=-x-6$

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

$r=-(-10)-6$

Evaluate for r. Distribute:

$r=10-6$

Subtract:

$r=4$

So, the value of r is 4.

And we're done!

6 0

2 years ago

Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work

Yuliya22 [10]

$\boxed{c=11}$

<h2>Explanation:</h2>

Here we have the following expression:

$x^2+22x+c$

A Perfect Square Trinomial is given by the form:

$(x+a)^2=x^2+2ax+a^2$

So matching terms, we can conclude that:

$2a=22 \\ \\ a=11 \\ \\ c=a^2=121$

So, substituting c into the expression:

$x^2+22x+121$

It is a perfect square because:

$x^2+22x+121=(x+11)^2$

<h2>Learn more:</h2>

Quadratic Equation in real life problems: brainly.com/question/10278062

#LearnWithBrainly

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2 years ago

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If you had a block of each type of wood with the same dimensions, how would their weights compare?

Len [333]

Their weights would be different from another, because of the mass of the wood. Sure, they may have the same dimensions, but does a square of feathers weigh as much as a square of metal?

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2 years ago

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3 years ago