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3 years ago

If P(x) = x ^ 2 + x + 3 and Q(x) = 4x ^ 2 - 3 find P(8) .

Mathematics

1 answer:

lara [203]3 years ago

6 0

Answer:

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

$p(x) = x^2 + x +3\\$

Since you're doing p(8), you would replace the x's with 8s.

$(8)^2 + (8) + 3 = 64 + 8 + 3 =75$

So your final answer would be 75.

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Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form

Damm [24]

Answer:

$y=-3x+4$

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is $y-(-2)=-3(x-2)$ . Then solve for y.

Distribute -3 to $(x-2)$ ,

$y-(-2)=-3x+6$

Then, add -2 to both sides,

$y=-3x+4$

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0

3 years ago

Which graph represents the function f(x) = |x + 3|?

Sophie [7]

Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.

6 0

3 years ago

Read 2 more answers

How far apart in feet are Marcus and Joel. Please round your answer to the nearest tenth of a foot

Pavel [41]

Answer:

The distance between Marcus and Joel is approximately 127.3 feet.

Step-by-step explanation:

The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:

d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet

d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet

We can apply the pythagora's theorem to find the distance between Marcus and Joel.

d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²

d(Marcus,Joel)² = (90)² + (90)²

d(Marcus,Joel)² = 2*(90)²

d(Marcus, Joel) = sqrt(2*(90)²) = 90*sqrt(2) = 127.279 feet

The distance between Marcus and Joel is approximately 127.3 feet.

8 0

3 years ago

How many numbers have absolute value 3?

kirill115 [55]

Answer:

how many numbers have absolute value 3? zero is your answer

how many numbers have absolute value a, if a>0? your answer is also zero

Step-by-step explanation:

4 0

3 years ago

HELP ASAP PLEASEEEEEEEEEE HELPPP

grin007 [14]

Answer:

6/36 as simplified as 1/6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers