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2 years ago

How do you know if something is linear

Mathematics

2 answers:

alukav5142 [94]2 years ago

3 0

when an equation between two variables that gives a straight line when plotted on a graph

Hatshy [7]2 years ago

3 0

If the equation has an x^2 or x^3 or anything other than just numbers and x's, then it is NOT linear. a linear equation is of the form:

y=mx+b

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Please help on this please thank you

Kamila [148]

30% = 0.3

Since 30% of 90 is 27, the average person uses approximately 27 gallons of water outdoors per day.

Solution:

To write percent to decimal, divide the number by 100.

$$30\%=\frac{30}{100}$

$$=\frac{30\div10}{100\div 10}$

$$=\frac{3}{10}$

= 0.3

30% = 0.3

Average use of water each day = 90 gallons

$30\% \ \text{of} \ 90=0.3 \times 90$

= 27

Since 30% of 90 is 27, the average person uses approximately 27 gallons of water outdoors per day.

6 0

2 years ago

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

2 years ago

Please answer the following chooses correctly.Each choose is true or false.

Mama L [17]

Answer:

1) True

2) False

3) False

4) True

Step-by-step explanation:

1) True

Anything over 100% is larger than the original.

2) False

Since it is 225% bigger, you multiply 4 by 2.25.

4 x 2.25 = 9

3) False

If it is 225% larger, it means that it is 2.25 times larger

4) True

8 0

2 years ago

Drew invests $4000 at 6% for 5 years. How much interest does Drew earn? Remember the formula for simple interest is I=prt.

expeople1 [14]

Answer:

I = $1,200.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 4000 × 0.06 × 5 = 1200

I = $1,200.00

6 0

2 years ago

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

2 years ago