Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
The locations specified in the order regarding the shape will be B. longest side AC; smallest angle ∠C.
<h3>How to express the information?</h3>
From the information given, in the triangle where A = 59°, B is unknown, and C = 41°. Therefore, the value of B will be:
= 180° - (59° + 41°)
= 180° - 100°
= 80°
Therefore, the locations specified in the order regarding the shape will be longest side AC; smallest angle ∠C.
In conclusion, the correct option is B.
Learn more about shapes on:
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Digit in ones place- 8
Digit in tenths place- 2
A= 16777216
B= 279936
C= 32768
D= 49
Pounds: 10 20 30
Kilos: 4.5 9 13.5
half of 20 is 10, and half of 9 is 4.5. So every 10 pounds is 4.5 kilos. Add 10 to 20 to get 30, and add 4.5 to 9 to get 13.5. Both parts of the ratio table are increasing at the same rate (either 10 eachtime or 4.5 each time).
