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zhuklara [117]
2 years ago
5

Erykah has 6 less than 3 times the number of stamps in her collection that Chris has in his. Let r equal the number of stamps Ch

ris has. Which expression represents the number of stamps Erykah has? (Let r = the number of stamps Chris has)
A. 6 - 3r
B. 3r + 6
C. 3r - 6
D. 6 + 3r
Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

Answer:

Option C is correct.

The expression represents the number of stamps Erykah has : 3r -6

Step-by-step explanation:

Let r be the number of stamps Chris has.

as per the given condition: Erykah has 6 less than 3 times the number of stamps in her collection that Chris has in his.

"3 times the number of stamps Chris has" means 3r

"6 less than 3 times number of stamps Chris has" which means subtract 6 from 3r i,e 3r -6

therefore, the expression 3r -6 represents the number of stamps Erykah has.

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Please help I don’t understand number 16
Allisa [31]

Let's go step by step:

a) You are given four couples of x and y values which model the relationship between the number of drinks and their cost. So, the couple (x,y)=(0,0) means that if you buy zero drinks, you spend no money. That makes sense. The next information we have is (x,y) = (2,3), which means that two drinks cost 3 dollars, and so on.

So, you simply need to draw on the grid the four points

(0,0),\ (2,3),\ (4,6),\ (6,9)

b) The domain is the set of inputs. Since we only know the value of the function on four different points (we know the price for 0,2,4 and 6 drinks), the domain is discrete. In fact, a continuous domain must contain an interval (for example, [1,2] is a continuous domain), whereas if you pick a certain number of points (like in this case: we picked 0,2,4 and 6), the domain is discrete.

c) Once the points are drawn on the grid, you can see that they all lie on the same line. To find that line, we will only need two of those points (once two points are fixed, there is only one line passing through them). In general, the equation of the line passing through P = (P_x,P_y) and Q = (Q_x,Q_y) is

\cfrac{x-P_x}{Q_x-P_x} = \cfrac{y-P_y}{Q_y-P_y}

Let's choose, for example, the first two points. The equation is

\cfrac{x-0}{2-0} = \cfrac{y-0}{3-0} \iff \cfrac{x}{2} = \cfrac{y}{3} \iff y=\cfrac{3}{2}x

d) Now that we know the equation of the line, we can compute the cost of any number of drinks: the equation of the line is a function that associates a cost, y, with every possible number of drinks, x.

Of course, some associations will be odd - we can compute the cost of \sqrt{2} drink, but what would it mean?

Anyway, the question about the cost of two drinks seems more than reasonable, so let's see which y value is associate with the particular x value of 2:

y = \cfrac{3}{2} x \implies y = \cfrac{3}{2}\cdot 2 = 3

So, two drinks cost 3 dollars.

3 0
3 years ago
What is the value of x with clear working out please?
nirvana33 [79]

Answer:

Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>

Step-by-step explanation:

• Let's first find Angle ACB

{ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\  \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\  \\ { \underline{ \rm{ \:  \angle ACB = 67 \degree}}}

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

{ \rm{x +  \angle ABC +  \angle ACB = 180 \degree}} \\  \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\  \\ { \rm{x + 134 \degree = 180 \degree}} \\  \\ { \boxed{ \rm{x = 46 \degree}}}

5 0
2 years ago
Read 2 more answers
Solve the system of equations and choose the correct ordered pair.
Dafna1 [17]

So for this, I will be doing the elimination method. Firstly, multiply both sides of the first equation by 2:

6x-8y=52\\2x+8y=-36

Next, add the two equations together to get 8x=16 . From here you can solve for x.

For this equation, just divide both sides by 8 and your first answer will be x=2

Now that we have the value of x, substitute it into either equation to solve for y:

3*2-4y=26\\6-4y=26\\-4y=20\\y=-5\\\\2*2+8y=-36\\4+8y=-36\\8y=-40\\y=-5

<u>In short, the solution is (2,-5), or A.</u>

3 0
3 years ago
Read 2 more answers
If someone could please answer all 3 points (20 points)
Aleksandr [31]

The missing parts of the table for the function are 49, 1 and 49 respectively

<h3>How to complete the missing parts of the table?</h3>

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

Learn more about exponential function on:

brainly.com/question/27161222

#SPJ1

7 0
1 year ago
...........I need help......
ASHA 777 [7]

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

5 0
3 years ago
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