Hello!
If the domain of the function is negative, the translation occurring has to be a reflection over the x-axis or y-axis.
Since the translation is affecting the x-values, it has to be a reflection over the y-axis. Similarly, if the translation affects the y-values, it translates over the x-axis.
Therefore, the type of transformation given by the rule is a reflection over the y-axis.
3a-4≤5
The equivalent proportion is x/y = 5/2.
A ratio indicates the number of times one number contains another.
Given that, x/15 = y/6.
The equivalent proportion is:
x/15 = y/6
x/y = 15/6
x/y = 5/2
Hence, the equivalent proportion is x/y = 5/2.
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Answer:
Step-by-step explanation:
given =
( cross- multiply )
15y = 6x ( divide both sides by y )
15 = ( divide both sides by 6 )
=
=
3x – 9y = 0
–x + 3y = –3
A. infinitely many
B.1
C.2
D.0
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What is the solution to the system of equations?
2x + y= -3
x - 2y= -4
(___,___)
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In a recent golf match, Tiger’s score was 4 less than Phil’s score. Their combined scores totaled 140. Let p represent Phil's score and t represent Tiger's score.
Which pair of equations can be used to determine their scores?
A. p – t = 140
p + t = 4
B. p + 140 = t
p = 4
C. p + t = 140
p – t = 4
D. p + t = 140
p + t = 4
(i think this one is C)
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The system of equations is coincident.
What are the missing values?
3x + y= 7
9x + __ y= __
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Allison and her husband Noah both get in their cars and begin to drive at the same time. Allison starts 360 mi from their home and drives directly home at a constant rate of 50 mph. Noah starts at their home and drives away from the home at a constant rate of 40 mph. The system that models this situation is given, where d represents the distance from home, and t represents time, in hours. The solution to the system is (4, 160).
What is the correct interpretation of the solution to this system?
d = 360 - 50t
d =40t
A. Noah will be 160 mi from home and Allison will be 4 mi from home.
B. Allison and Noah will both be 160 mi from home after 4 h.
C. Noah will be 4 mi from home and Allison will be 160 mi from home.
D. Allison and Noah will both be 4 mi from home when they drive for 160 min.
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please help me I dont understand these.
Answer:
r=3
Step-by-step explanation:
3(r - 7) = 4(2 - 2r) + 4
Distribute
3r -21 = 8 -8r +4
Combine like terms
3r -21 = 12 -8r
Add 8r to each side
3r +8r-21 = 12 -8r+8r
11r -21 = 12
Add 21 to each side
11r -21+21 =12+21
11r = 33
Divide each side by 11
11r/11 = 33/11
r = 3
Answer:
Step-by-step explanation:
3(r - 7) = 4(2 - 2r) + 4
3r+(-21)=8+(-8r)+4
-21+8+4=3r+(-8r)
-9=-5r
Which is true about point F on the number line?
A.
Point F is 7 units to the right of 0.
B.
Point F is 1 unit to the right of –6.
C.
Point F is 1 unit to the left of –6.
D.
Point F is 7 units to the left of 7.