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3 years ago

Find the y-coordinate of the y-intercept of the polynomial function defined below f(x)=2x(x^2+3)

Mathematics

2 answers:

Ilya [14]3 years ago

6 0

Answer:

Step-by-step explanation:

2x( $x^{2}$ + 3)

when x = 0 then we have a y intercept

2 $x^{3}$ +6x

so b/c both terms have an x in them

we know the only time this function hits the y intercept is when y is zero

got it?

answer y = 0

laila [671]3 years ago

3 0

Answer:

y-intercept is (0,0). Mark brainliest?

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A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li

motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

$P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\$

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

$P(a|b)=\frac{P(a \ and\ b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594$

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0

3 years ago

5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.

Luba_88 [7]

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

−b±√b2−4ac

−(−4)±√(−4)2−4(−1)(9)

2(−1)

4±√52

−2

z=−2−√13 or z=−2+√13

8 0

3 years ago

Study the Proof Given.

saul85 [17]

2: Midpoint of segment AC is given as B3: Given4: Knowing that AC~=BC, AC~= DE

7 0

3 years ago

Please help will give brainliest please

lyudmila [28]

Answer:

Step-by-step explanation:

10 is equal to the side infront of it. 10 +10 = 20

rounding it to the nearest degree will also be 20

8 0

3 years ago

The equation of a function<br>y = 2/3x+1/3 find the value of y<br>when x = -3<br>when x = 1 1/2

kirill [66]

Answer:

$y = \frac{-5}{3}\\\\y = \frac {4}{3}$

Step-by-step explanation:

$y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\$

5 0

3 years ago