Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
137 paquetes de vasos, aunque el último nomas contiene 7 vasos se necesita el paquete para que no queden sin empacar
Answer:
10:1:5
Step-by-step explanation:
Given that,
A game was played by Amy, Bill, and Cara.
Let Amy's score be x. Then,
Bill's score would be x/10
Cara's score = x/2
Now,
The ratio of their scores;
x: x/10: x/2
= 1 : 1/10 : 1/2
To equalize the scores, multiply all of them by 10
= (1 * 10): (1/10 * 10) : (1/2 * 10)
= 10 : 1 : 5
Thus, the simplest ratio form would be 10:1:5
She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true
Answer:
mArc A B = 120° (C)
Step-by-step explanation:
Question:
In circle O, AC and BD are diameters.
Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.
What is mArc A B?
a)72°
b) 108°
c) 120°
d) 144°
Solution:
Find attached the diagram of the question.
Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x
From the diagram,
m Arc AOC = 180° (sum of angle in a semicircle)
∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)
x° +x° + x° =180°
3x = 180
x = 180/3
x = 60°
m Arc DOB = 180° (sum of angle in a semicircle)
∠AOB + ∠AOD = 180° (sum of angles on a straight line)
∠AOB + x° = 180
∠AOB + 60° = 180°
∠AOB = 180°-60°
∠AOB = 120°
mArc A B = 120°
