Geometry question please help due tomorrow

After a car left the A station for 4 kilometers, it advanced for an hour at an average speed of 40 km/h. Find a functional relat

True [87]

The function would be f(x) = 40x + 4.

It's plus 4 because it starts counting after the 4 kilometers already happened.

It's 40x because that's the rate of change (km/h) and the x represents the hours.

f(x) basically means y, but in functions you use f(x).

Hope this helps :)

8 0

3 years ago

Prove that when a polynomial function p(x) is divided by a first degree polynomial ax + b the remainder is p(-b/a)

DochEvi [55]

Answer:

r = p(-b/a)

Step-by-step explanation:

Let p(x) = q(x)(ax + b) + r(x) where q(x) is the quotient when p(x) is divided by ax + b and r(x) is the remainder.

Since ax + b is a first degree polynomial, r(x) is one power less than ax + b is is just a constant, r.

So, p(x) = q(x)(ax + b) + r

Now, p(x) = r when q(x)(ax + b) = 0

since q(x) ≠ 0, ax + b = 0 ⇒ ax = -b ⇒ x = -b/a

⇒ p(x) = r when x = -b/a

So, r = p(-b/a)

So, the remainder when a polynomial function p(x) is divided by a first degree polynomial ax + b is p(-b/a)

8 0

3 years ago

What is an equation of the line that passes through the points (8,−5) and (8,−2)?

ArbitrLikvidat [17]

Answer:

try x=8

Step-by-step explanation:

6 0

3 years ago

Force is giving away tickets to a school play. She gives away 20 more adult tickets than children's tickets. She gives away 3 ti

swat32

D

hope that helps :))

8 0

3 years ago

A researcher wanted to test the claim that, "Seat belts are effective in reducing fatalities." A simple random sample of front-s

Damm [24]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the occupants not wearing seat belts and occupants wearing seat belts. The population proportion of occupants not wearing seat belts and occupants wearing seat belts would be p1 and p2 respectively.

P1 - P2 = difference in the proportion of occupants not wearing seat belts and occupants wearing seat belts.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples.

For occupants not wearing seat belts,

x1 = 31

n1 = 2823

P1 = 31/2823 = 0.011

For occupants wearing seat belts,

x2 = 16

n2 = 7765

P2 = 16/7765 = 0.0021

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (31 + 16)/(2823 + 7765) = 0.0044

1 - pc = 1 - 0.0044 = 0.9956

z = (P1 - P2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.011 - 0.0021)/√(0.0044)(0.9956)(1/2823 + 1/7765) = - 0.0089/0.00145462023

z = 6.81

From the normal distribution table,

p < 0.00001

0.00001 < 0.05, we would reject the null hypothesis.

Therefore,

b. Since p <α, we conclude that this data shows that seat belts are effective in reducing fatalities

6 0

3 years ago