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3 years ago

Is this a linear function , why or why not ? explain y=x^2-1

1 answer:

8 0

If you graph out y = x^2 - 1, you'll see that it is a curved parabola. It is not a straight line. So visually this shows the equation is not linear. It's considered nonlinear.

Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.

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Please I need a step by step explanation ASAP.

34kurt

Answer:

38.6 cm

Step-by-step explanation:

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5 0

2 years ago

A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting

GaryK [48]

By cutting each corner we have that the resulting dimensions are:
27 - 2x
18 - 2x
Height = x
Therefore, the volume of the box in terms of the variable x, is given by:
V (x) = (x) * (27-2x) * (18-2x)
Answer:
The volume of the box in terms of x is:
(27-x) (18-x) x

8 0

4 years ago

Read 2 more answers

Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.

Elenna [48]

9514 1404 393

Answer:

interest: $63
balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

I = Prt

I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

$9000 +63 = $9063

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=4x%20%5Csqrt%5B%20%2B%2015%20-%2015%5D%7B%3F%7D%20" id="TexFormula1" title="4x \sqrt[ + 15 - 1

blondinia [14]

Answer:

please what subject is this

6 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago