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ahrayia [7]
3 years ago
13

[HELP!! GIVING 40 POINTS]Consider the function f(x)=2x+6, create a situation that would model this function.

Mathematics
1 answer:
Rashid [163]3 years ago
3 0
(Above is the graph for the line)
Situation:
You are signing up for a book club. The get-in price is 6. Every month, you have to pay 2 dollars.

How This Works:
y=mx+b
M=Slope
B=y intercept.

Y intercept is the starting point. The beginning out. In this case, the y intercept is 6. So, in our situation, 6 is the joining fee. The beginning amount. Slope is the the rate of change. The slope in this problem is 2. Since the monthly fee is 2, that would make it the slope

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The diameter of a circle is 4 kilometers. What is the circle's circumference?
scZoUnD [109]

Answer:

12.57 km

Step-by-step explanation:

Radius = 4 / 2 = 2 km

Circumference = 2πr = 2π(2) = 4π = 12.57 km

6 0
3 years ago
Read 2 more answers
Find the value of x that makes the quadrilateral a parallelogram.<br> 3x + 5<br> 5x - 9<br> X =
Lady bird [3.3K]

Answer:

3x+5=5x-9(llgram oppositesides are equal)

3x-5x= -9-5

-2x=-14

x= -14/-2

x=7

4 0
2 years ago
Read 2 more answers
Two solutions to y'' – 2y' – 35y = 0 are yı = e, Y2 = e -5t a) Find the Wronskian. W = 0 Preview b) Find the solution satisfying
pashok25 [27]

Answer:

a.w(t)=-12e^{2t}

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

Step-by-step explanation:

We have a differential equation

y''-2 y'-35 y=0

Auxillary equation

(D^2-2D-35)=0

By factorization method we are  finding the solution

D^2-7D+5D-35=0

(D-7)(D+5)=0

Substitute each factor equal to zero

D-7=0  and D+5=0

D=7  and D=-5

Therefore ,

General solution is

y(x)=C_1e^{7t}+C_2e^{-5t}

Let y_1=e^{7t} \;and \;y_2=e^{-5t}

We have to find Wronskian

w(t)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

Substitute values then we get

w(t)=\begin{vmatrix}e^{7t}&e^{-5t}\\7e^{7t}&-5e^{-5t}\end{vmatrix}

w(t)=-5e^{7t}\cdot e^{-5t}-7e^{7t}\cdot e^{-5t}=-5e^{7t-5t}-7e^[7t-5t}

w(t)=-5e^{2t}-7e^{2t}=-12e^{2t}

a.w(t)=-12e^{2t}

We are given that y(0)=-7 and y'(0)=23

Substitute the value in general solution the we get

y(0)=C_1+C_2

C_1+C_2=-7....(equation I)

y'(t)=7C_1e^{7t}-5C_2e^{-5t}

y'(0)=7C_1-5C_2

7C_1-5C_2=23......(equation II)

Equation I is multiply by 5 then we subtract equation II from equation I

Using elimination method we eliminateC_1

Then we get C_2=-\frac{5}{2}

Substitute the value of C_2 in  I equation then we get

C_1-\frac{5}{2}=-7

C_1=-7+\frac{5}{2}=\frac{-14+5}{2}=-\frac{9}{2}

Hence, the general solution is

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

7 0
3 years ago
Ivan and Tanya share £150 in the ratio 4:1<br> How much more does Ivan get than Tanya
mina [271]

Answer:

Ivan gets £90 more than Tanya

Step-by-step explanation:

Given that

Total amount = £150

Ratio: 4:1

First of all we have to find the sum of ratio: 4+1 = 5

Now,

Ivan's Share:

= \frac{4}{5} * 150\\= 120

Tanya's Share:

=\frac{1}{5} * 150\\= 30

Ivan gets £120 and Tanya gets £30

The difference between their shares is the answer.

So,

= 120-30 = 90

Hence,

Ivan gets £90 more than Tanya

6 0
3 years ago
At the supermarket you can fill your own Honeybear container. A customer buys 12 ounces of honey for $5.40.
IRISSAK [1]
Total number of oz of honey = 12 oz.
Cost of 12 oz of honey = $5.40.
Cost per oz of honey = 5.40 divided 12 = $0.45 per oz.
Therefore,
a) Cost per ounce of honey = $0.45.
b) Number of ounces we can buy for one dollar = 12 divided by 5.40 = 2.22 oz approximatly.
c)
h = 2.22c, wherr h is the number of ounces of honey for c dollars.
c=0.45h, where c is the total cost of h number of ounces of honey.
d) Let us take c=0.45h equation for graph the situation.
x-axis would be for h number of ounces of honey and y-axis is the total cost c of h ounces of honey.
Let us find some values of h and c for the graph.
For equation: c=0.45h for h=1,we get c=$0.45.
If we plug h=2, we get c= 0.45*2 = $0.90.
If we plug h=3, we get c= 0.45*3 = $1.35.
Therefore, we would plot (1,0.45), (2,0.90) and (3,1.35) on the graph and draw a straight line.
8 0
2 years ago
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