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ratelena [41]
3 years ago
14

Need help with graph please asap, 12 points!

Mathematics
2 answers:
kolezko [41]3 years ago
8 0
For the green part
X (less than or equal to sign) y
The blue
Y(less than or equal to sign)6
Rus_ich [418]3 years ago
5 0

So since both these lines are solid lines and not dashed lines, the inequality is going to be either ≥ or ≤.

Starting with the horizontal line, all the points on that line have the y-coordinate of 6, therefore this line is going to be y_6. And since the shaded region is below the line, this inequality is going to be y ≤ 6.

With the next line, it is y_x. The y-intercept is (0,0) and the slope is 1. And since the shaded region is above this line, this inequality is going to be y ≥ x.

In short, the system of inequalities is y ≥ x and y ≤ 6.

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Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.  

How far are Ava's feet from the balloon?

Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

height = 8ft

distance = 15ft

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

x^2 = 8^2 + 15^2

x^2 = 64 + 225

x^2 =289

Take square roots of both sides

x = \sqrt{289

x = 17

6 0
3 years ago
Enter the number of cups of pineapple juice Francine uses for 11 cup of orange juice.
Lyrx [107]

Answer:

0 you don't use pineapple juice to make orange juice

Step-by-step explanation

8 0
3 years ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
3 years ago
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
Leviafan [203]

Answer:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

\bar X_{1}=7.6 represent the mean for Gibbs products

\bar X_{2}=8.1 represent the mean for the competitor

\sigma_{1}=2.3 represent the population standard deviation for Gibbs

\sigma_{2}=2.9 represent the sample standard deviation for the competitor

n_{1}=40 sample size for the group Gibbs

n_{2}=55 sample size for the group competitor

\alpha=0.05 Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}< 0  

The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0
3 years ago
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