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2 years ago

Describe whether each of the following is linear or not linear. In each case, explain your answer.

1 answer:

4 0

A. 3x+4y+2=0 ----------linear

B. X= 2,4,6,8 Y=1,5,15,30 -------nonlinear

C. You have a secret that you tell to one person. Every hour, each of the people that know the secret tells one person. The number of people who know is N, and t is the number of hours since you told the first person. Is N a linear function of t? ----------linear

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There are 20 bucks on the summer reading list how many different ways can you choose one per week for six weeks

eduard

Answer:

There would be 120 different ways

Step-by-step explanation:

20×6=120

6 0

2 years ago

Read 2 more answers

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

3 years ago

Two school groups go to a roller skating rink. One group pays $243 for 36 admissions and 21 skate rentals. The other group pays

Masteriza [31]

Answer:

There are infinitely many solutions to the system.

{36x+21y=24312x+7y=81

Multiply the second equation by 3.

3(12x+7y36x+21y=81)=243

Subtract this new equation from the first equation.

36x+21y−(36x+21y0+0=243=243)=0 true

7 0

2 years ago

Read 2 more answers

What is the y- intercept of a line that goes through the points (3,-2)& has a slope of -4?

yulyashka [42]

Answer:

I'm pretty sure that this is correct.

Step-by-step explanation:

this is the equation of a straight line that is generally written

y = m × x + q

m is the slope of the line and is the proportionality coefficient between y and x.

The larger m is, the more the line is hanging

q (-3) is the intercept with the Y axis and is the value you find if you put x=0 (this is the axis y equation)

similarly if you put Y=0 (that is the equation of X axis you find the intercept with X axis that is X= 3/2

graph{2x-3 [-10, 10, -5, 5]}

If I am wrong I am SO SO Sorry. But I hope that I Helped! :D

8 0

3 years ago