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scoray [572]
9 months ago
6

Graph y=3/2x+2 and find the solution graph y=4x-3 and find the solution

Mathematics
1 answer:
sladkih [1.3K]9 months ago
5 0

First We have to make a table for each equation in order to graph them.

eq1: 3/2x + 2

x f(x)

0 2

1 7/2

eq1: 4x -3

x f(x)

0 -3

1 1

Then we make the graph

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How do you use the product of 123 times 47 to find the product of 123 times 0.47 explain the difference in the two products?
iragen [17]
123•47=5781
123•0.47=57.81

you can use the product of 123•47 to help you solve for the product of 123•0.47 by seeing that all you do is move the decimal yo the left 2 spaces. The reason you move the decimal to the left 2 spaces is because 47 is 0.47 just the decimal was moved 2 spaces to the right.
3 0
3 years ago
Let f(x)=x^2-2x+1
Anarel [89]

Answer:

a.) f'(x) = 2x - 2

b.) horizontal tangent line at (1, 0)

c.) view image

d.) the point given, (-1, -1/2), isn't even located on the graph of f(x). Either there is a typo or the question is poorly stated.

Step-by-step explanation:

a.) You should know how to do derivative already

b.) Horizontal tangent line just mean that the slope is zero. Since a derivative is a slope, just find when the derivative is equal to 0.

c.) The function f(x) looks like a U. The only spot that has a zero slope is at the bottom of the U when the slope changes from negative to positive. Since my horizontal tangent line(where the slope is 0) is located at point (1,0), that must be where the bottom of the graph is,

d.) Poorly stated question. The point given isn't even located on the graph.

3 0
3 years ago
- 2x+y=2<br> x+6y=-21<br> A) (<br> 34)<br> D) (-3, 4).<br> (-1.4)<br> B) (3.2)
anzhelika [568]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the c
kvasek [131]

Answer:

t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65  

p_v =2*P(t_{(284)}

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

Step-by-step explanation:

1) Data given and notation

\bar X_{M}=85.8 represent the mean for the males

\bar X_{F}=113.4 represent the mean for females

s_{M}=50 represent the sample standard deviation for males

s_{F}=75 represent the sample standard deviation for female

n_{M}=145 sample size for the group poisoned

n_{F}=141 sample size for the group unpoisoned

t would represent the statistic (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for the two groups are equal or not , the system of hypothesis would be:

Null hypothesis:\mu_{M} = \mu_{F}

Alternative hypothesis:\mu_{M} \neq \mu_{F}

If we analyze the size for the samples both are higher than 30 but the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{M}-\bar X_{F}}{\sqrt{\frac{s^2_{M}}{n_{M}}+\frac{s^2_{F}}{n_{F}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We can replace in formula (1) the results obtained like this:

t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65  

4) Statistical decision

The first step is calculate the degrees of freedom, on this case:

df=n_{M}+n_{F}-2=145+141-2=284

Since is a two tailed test the p value would be:

p_v =2*P(t_{(284)}

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

4 0
3 years ago
Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
1 year ago
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