Bagels = 4d - 3
Four times means 4d and you subtract 3 because Geoff has three less than 4 times.
Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Answer:
y^2 - 5y - 4
Step-by-step explanation:
So you want f(y) such that
(y^2-5y+1) - f(y) = 5
Subtract both sides by (y^2-5y+1):
-f(y) = 5 - (y^2-5y+1)
-f(y) = -y^2 + 5y + 4
f(y) = y^2 - 5y - 4
So the polynomial you are looking for is y^2 - 5y - 4
The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse =
units
∵ sinФ = 
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ = 
The value of sine theta = negative eight-seventeenths
Learn more:
You can learn more about the trigonometry function in brainly.com/question/4924817
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