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3 years ago

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Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

slope is the rate at which a function progresses. y intercept a point that passes through they x axis when it is 0. ex) (0,9)

equation written as y=ax +b

b = y intercept

ax = slope

ax = y2-y1/x2-x1

take 2 random points

(0,3) (-2,0)

slope : 0-3/-2=0 = -3/-2 = 3/2

y intercept = 3 because x = 0 and y =3

<u>equation = y =3/2x + 3</u>

Step-by-step explanation:

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Answer:

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2 years ago

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3 years ago

When four fifths 4 5 of a number is subtracted from 1414, the result is 22. find the number?

galben [10]

If we say:
x = the number we want to find
Then, we can formulate an equation using the information given:
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3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

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5 0

3 years ago

Alba worked for 6 hr 45 min at $7.90 per hour. What numbers could she use to estimate how much money she earned? Estimate the am

Svetradugi [14.3K]

Answer:

$52
this estimate is a little low

Explanation:

a) I might choose 6 1/2 hours and $8 per hour, so the estimated earnings would be ...

6(8) +(1/2)(8) = 52 dollars . . . . estimated earnings

These values are purposely chosen so that one is a little high and the other is a little low, hopefully producing a closer estimate than if both numbers were high (as 7 hours, $8, for example).

b) Using 800 instead of 790 means the pay estimate is about 1/80 = 1.25% high.

Using 6 1/2 instead of 6 3/4 means the hours estimate is about 1/27 ≈ 3.7% low.

So, we expect the product of these values to be slightly low, perhaps by about 2.5%.

_____

<em>Comment on estimating</em>

If you can estimate the error in the estimate with some reasonable accuracy, you can use that to adjust the estimate to a pretty close value.

8 0

3 years ago