STEP - BY - STEP EXPLANATION
Given:
Step 1
Suppose x= -3, then
x+ 3
Step 2
Divide the polynomial by (x+ 3)
Step 3
Determine the remainder and quotient from the above.
Quotient = x²+ x - 3
Remainder = 13
ANSWER
Quotient = x²+ x - 3
Remainder = 13
Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees.
Here's why.
α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180 Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90
Now all you have to do is put in the x values for alpha and beta and equate them to 90
5x/3 + 20 + 2x/3 + 14 = 90 Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
7x/3 + 34 = 90 Subtract 24 from both sides.
7x/3 = 90 - 34
7x/3 = 56 Multiply by sides by 3
7x = 3*56
7x = 168 Divide by 7
x = 168/7
x = 24
That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
α = 60
Answer C <<<<<<
This question was not written properly
Complete Question
Find the minimum value of the function f(x) = 0.9x² + 3.42x - 2.4 to the nearest
hundredth.
Answer:
The minimum value for the function:
f(x) = 0.9x² + 3.42x - 2.4 is (-1.9, -5.65)
Step-by-step explanation:
Our quadratic equation =
ax² + bx + c
f(x) = 0.9x² + 3.42x - 2.4
The minimum value of x formula=
x = -b/2a
a = 0.9
b = 3.42
x = -3.42/2 × 0.9
x = -3.42/1.8
x = -1.9
We input the value x in order to get the minimum value of y
f(x) = y
f(x) = 0.9x² + 3.42x - 2.4
f(-1.9) = 0.9(-1.9)² + 3.42(-1.9) - 2.4
= 3.249 - 6.498 - 2.4
=3.249 - 8.898
= -5.649
Approximately to the nearest hundredth = -5.65
Therefore, the minimum value for the function:
f(x) = 0.9x² + 3.42x - 2.4 is (-1.9, -5.65)
Answer:
3/4
Step-by-step explanation:
that's as simple as it gets
The time required for the bottle to reach the end of Nile is 963 hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the bottle in the river be S = 7 km/h
Let the distance traveled by the bottle in the river be D = 6741 km
Now , the time taken by the bottle to reach the distance D with speed S is calculated by the equation
Speed = Distance / Time
and ,
Time = Distance / Speed
Substituting the values of distance and speed in the equation , we get
Time taken by the bottle = 6741 / 7
= 963 hours
Therefore , the time required is 963 hours
Hence , The time required for the bottle to reach the end of Nile is 963 hours
To learn more about speed click :
brainly.com/question/19930939
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