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Orlov [11]
3 years ago
6

Why is 4X +5 a linear function Why is y=X2 a nonlinear function

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

y = 4x+5 is in the form y = mx+b which is slope intercept form. Anything in y = mx+b form is linear. It graphs out a straight line.

Contrast this with y = x^2 which is nonlinear because it graphs a curve that isnt a straight line. All quadratics like this graph out a parabola which resembles a bowl shaped curve.

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The quotient Of triple a number and 9 is decreased by the sum of the number and 5? Expression please
Grace [21]
X/3x -x+5
Hope it helps!!!!!!!!!
6 0
2 years ago
What happens when demand exceeds supply?
marta [7]

Answer:  Option 'b' is correct.

Step-by-step explanation:

Since we have that

When Demand exceeds supply.

It means money supply is more in the country due to which demand for a good increased more than supply.

It is the situation of inflation.

In this case, price would increase to curb the increase in demand.

For example, if the prevaling price for a particular good is $5, so a person is willing to purchase 10 units as he has $50.

But if the price gets increased and the new price becomes $10, then that person can buy only 5 units from $50.

So, it can reduce the demand and makes it equal to supply.

So, Option 'b' is correct.

4 0
3 years ago
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
RSB [31]

Answer:

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Nicky has 5 cookies and bill has 4 cookies how much do they have all together
Vsevolod [243]
9 cookies

5 plus 4 is 9
7 0
2 years ago
Read 2 more answers
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
2 years ago
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