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1 year ago

Evaluate function at the given value using the remainder theorem.

Mathematics

1 answer:

garik1379 [7]1 year ago

5 0

Answer:

Step-by-step explanation:

$f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6$

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Which interval for the graphed function contains the local maximum?

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Answer:

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local maximum is a maximum within some region of x values

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3 years ago

Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and then

tensa zangetsu [6.8K]

<h3>Answer: n+15</h3>

=======================================================

Explanation:

n = number of minutes
cost of company X = 3n+30
cost of company Y = 2n+15

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CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

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An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

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2 years ago

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3 years ago

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What is the the y-intercept and x-intercept of the line. 4x - 4y= 36

algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

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2 years ago