ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT
Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>
TS = QT
6x + 13 = 5y
6x - 5y = -13 <span><em>(second equation)</em>
</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2
Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5
Answer:
x = -2
y = -5
Answer:
Question 1
Total number of marbles = 5 + 7 + 8 = 20
(a)
- P(red, red) = 5/20*4/19 = 1/19
(b)
- P(white, blue or blue, white) = 7/20*8/19 + 8/20*7/19 = 14/95 + 14/95 = 28/95
(c)
- P(both same colour) = P(red,red or blue,blue or white,white) =
- 1/19 + 8/20*7/19 + 7/20*6/19 = (20 + 56 + 42)/380 = 118/380 = 59/190
Question 2
(a)
- P(A and B) = 2/9 * 4/11 = 8/99
(b)
- P(not A and not B) = (1 - P(A))(1 - P(B)) = 7/9*7/11 = 49/99
(c)
- P(A or B) = 1 - P(not A and not B) = 1 - 49/99 = 50/99
Answer:
y=5-3x
Step-by-step explanation:
We are to answer the questions given the sales and advertisement function
The answers are given below
Given:
S = 9000 + 12A
Where,
S = Monthly sales revenue
A = monthly advertising expenditure
a. If the firm does not spend on advertisement
S = 9000 + 12A
Where,
A = 0
S = 9000 + 12A
S = 9000 + 12(0)
S = $9000
b. If the firm spends $800 on advertising one month
S = 9000 + 12A
= 9000 + 12(800)
= 9000 + 9600
= 18,600
S = $18,600
c. S = 9000 + 12A
When
S = $15,000
15,000 = 9000 + 12A
15000 - 9000 = 12A
6000 = 12A
A = 6000/12
= 500
A = $500
d. If the firm increases monthly expenditure on advertising by $1
If A increases to $501
S = 9000 + 12A
= 9000 + 12(501)
= 9000 + 6,012
= 15,012
S increases to $15,012
Read more:
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Answer:
Slope: 1.5
Step-by-step explanation:
We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.