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3 years ago

Which set of points includes all of the solutions for y = negative three halves times x plus two?

Mathematics

1 answer:

irina [24]3 years ago

5 0

Given:

$y=-\dfrac{3}{2}x+2$

To find:

The set of points that includes all of the solutions for the given equation.

Solution:

From the given equation, it is clear that y-values depend on the x-values.

If x is a real number, then y-values are real numbers such that $y=-\dfrac{3}{2}x+2$ .

So, the set of points that includes all of the solutions for the given equation is defined as $\left(x,-\dfrac{3}{2}x+2\right)$ for all real numbers.

Therefore, the correct option is B.

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James has pennies nickels and dimes in his bank he is has more than $1.60 and less than $2.00 in the bank there are 5 times as m

Aliun [14]

James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?

<em><u>Answer:</u></em>

The exact amount of money in his bank is $ 1.8

<em><u>Solution:</u></em>

Let "p" be the number of pennies

Let "d" be the number of dimes

Let "n" be the number of nickels

Given that,

<em><u>There are 5 times as many pennies as dimes</u></em>

Number of pennies = 5 times the number of dimes

p = 5d ----------- eqn 1

<em><u>There is an equal number of nickels and dimes</u></em>

n = d -------- eqn 2

We know that,

value of 1 dime = 0.10 dollar

value of 1 nickel = 0.05 dollar

value of 1 penny = 0.01 dollar

<em><u>The total value of coins is:</u></em>

total value = d(0.10) + n(0.05) + p(0.01)

Substitute eqn 1 and eqn 2

total value = d(0.10) + d(0.05) + 5d(0.01)

total value = 0.2d

Given that he has more than $1.60 and less than $2.00 in the bank

Therefore, 0.2d must be greater than 1.60 and less than 2.00

Try for d = 8

total value = 0.2 x 8 = 1.6

But value must be greater than 1.6

Try for d = 9

total value = 0.2 x 9 = 1.8

Thus 1.8 is greater than 1.60 and less than 2.00

Therefore, the exact amount of money in his bank is $ 1.8

8 0

3 years ago

6.3.6. Among the early attempts to revisit the death postponement theory introduced in Case Study 6.3.2 was an examination of th

kakasveta [241]

Answer:

So the Null hypothesis is rejected in this case

Step-by-step explanation:

The number of celebrities is n = 348

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month

Generally if there is no death postponement then p will be mathematically evaluated as

$p = \frac{1}{12}$

This implies the probability of date in one month out of the 12 months

Now from the question we can deduce that the hypothesis we are going to be testing is

$Null Hypothesis \ \ H_0 : p = 0.083$

This is a hypothesis is stating that a celebrity dies in the month preceding their birth

$Alternative \ Hypothesis H_1 : p < 0.083$

This is a hypothesis is stating that a celebrity does not die in the month preceding their birth

is c is the represent probability for each celebrity which either c = 0 or c = 1

Where c = 0 is that the probability that the celebrity does not die on the month preceding his/ her birth month

and c = 1 is that the probability that the celebrity dies on the month preceding his/ her birth month

Then it implies that

for

n= 1 + 2 + 3 + .... + 348 celebrities

Then the sum of c for each celebrity would be $c_s = 16$

i.e The number of celebrities that died in the month preceding their birth month

We are told that the significance level is $\alpha = 0.05$ , the the z value of $\alpha$ is

$z_{\alpha } = 1.65$

This is obtained from the z-table

Since this test is carried out on the left side of the area under the normal curve then the critical value will be

$z_{\alpha } = - 1.65$

So what this implies is that $H_o$ will be rejected if

$z \le -1.65$

Here z is the test statistics

Now z is mathematically evaluated as follows

$z = \frac{c - np}{\sqrt{np_o(1- p_o)} }$

$z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }$

$z =-2.50$

From our calculation we see that the value of z is less than $-1.65$ so the Null hypothesis will be rejected

Hence this tell us that the evidence provided is not enough to conclude that 16 celebrities died a month to their birth month

8 0

3 years ago

I need help with these. Click this to see the problems (if u don't know how to)

Daniel [21]

The ground is supplementary. That means it equals 180 degrees. (A circle is 360. The ground is half the circle)
So u set up the equation as
180=22x+14x
180=36x
/36 /36
5=x

But you need to find the 14x
14(5)
=70 degrees before the tree hits the ground

7 0

3 years ago

2. LIST THREE DIFFERENT TYPES OF ORGANISMS THAT USE CELLULAR RESPIRATION? MAKE THEM AS DIFFERENT AS POSSIBLE.

OLEGan [10]

<h2>1) Plants</h2><h2>2) Animals</h2><h2>3) Humans</h2>

7 0

3 years ago

Prove that x=2 if 4^x=8x...where ^ stands for "to the power of".

Romashka [77]

In order to prove this, you simply plug in the number 2 everywhere you see X:

4^(2) = 8(2).

Simplify

16 = 16 √

Since this checks out, x is proven to be 2.

4 0

3 years ago