A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.

a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p

Answer:

$17 ( 17 USD )

Step-by-step explanation:

C(x)=11.00+0.15x

40 copies:

C(40) = 11+0.15(40)

C(40) = 11+6

C(40) = $17

Therefore, the total cost for an order of 40 copies is $17.

Hope this helps!!!

Please mark as brainliest!!!

P.S. I guess you don't have to change schools now?

Answer:

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Step-by-step explanation:

A function is increasing when its gradient is positive (so y-coordinates are increasing).

We have a graph, rather than a function given to us, so we don't need to use any calculus.

Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).

Between x=0 and x=1, the function is decreasing.

After x=1, the function is increasing again.

We can use mathematical notation to express this.

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Or

[tex]x < 0\ \text{and}\ x > 1[/tex]

A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).

A function assigns the value of each element of one set to the other specific element of another set.

For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).

Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

#2

#3

#4

#5

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

I hope this is the whole question

Step-by-step explanation:

Well I can only see one way and it is this...

[tex]\sqrt{27a}[/tex]  =  [tex]\sqrt{3.3.3.a}[/tex]

         =  [tex]3\sqrt{3a}[/tex]

I got rid of one perfect-square. I dont think you can do much more.

Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).

The points that are already plotted on the graph represent the results of the hours of television watched by children.

For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.

The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.

Find out more on constructing graphs at https://brainly.com/question/1660438?referrer=searchResults.

#SPJ1

The time taken by the bacterias to reach 3,700 will be 2.81 days.

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

[tex]B(d)=2425\ e^{0.15d[/tex]

[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

To know more about exponential questions follow

https://brainly.com/question/2456547

#SPJ1

The equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

If the quadratic equation has only one solution, then

[tex]\rm b^2 - 4ac = 0[/tex]   or

[tex]\rm b^2 = 4ac[/tex]

[tex]\rm x = \dfrac{-b}{2a}[/tex]

2ax = - b

(2ax+b) = 0

(2ax+b)² = 0  (square on both sides)

[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]

Thus, the equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

Answer:

-3k + 10

Step-by-step explanation:

you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10

Answer: Heyaa! ~

Your Answer is... − 3k+10

Step-by-step explanation:

Hopefully this helps you! ~

Answer:

[tex]15^{3}[/tex]

Step-by-step explanation:

[tex]15^{3} =(15)(15)(15)=3375[/tex]

Hope this helps

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

Step-by-step explanation:

first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer

The  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

The formula for calculating the distance between two points is expressed as:

D = √(y2-y1)²+(x2-x1)²

Given the coordinate points X(−4,3) and Y(2,−7)

Substitute

XY = √(-7-3)²+(2+4)²

XY = √(-10)²+(6)²

XY = √100+36
XY = √136

XY = 11.7 units

Hence the  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

Learn more on distance here: https://brainly.com/question/17273444

#SPJ2

Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

Answer:

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

-------------------

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

the answer is good

The measure of the angle is 205°. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

There are 4 quadrants and each quadrant has a measure of 90° angle.

The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.

90° + 90° = 180°

The arm has been in the third quadrant due to the additional 25° rotation.

180° + 25° = 205°

The measure of the angle is 205°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

Answer:

See below

Step-by-step explanation:

If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.

Answer:

28cm

Step-by-step explanation:

Given that;

14cm = 5m

x = 10m

cross multiply

5x = 140

divide both side by (5)

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

:- x = 28cm

The value of angle 2 will be equal to 132°.

The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.

Given that:-

A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.

We can see that the two angles are exterior opposite angles so the angle 2 will be 132

Hence the value of angle 2 will be equal to 132°.

To know more about angles follow

https://brainly.com/question/25770607

#SPJ1

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

Answer:

c: 275

Step-by-step explanation:

Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

Answer:

275

Step-by-step explanation:

20 x 9 = 180

180 + 95 = 275