1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
borishaifa [10]
3 years ago
6

Solve y-4=3x+5y for y

Mathematics
1 answer:
Inga [223]3 years ago
3 0
<h3><u>The value of y is equal to (-4 - 3x)/4.</u></h3>

Because there are two variables and only one equation, we cannot solve for the exact value of y.

However, we can still get a value of y.

y - 4 = 3x + 5y

Subtract y from both sides.

-4 = 3x + 4y

Subtract 3x from both sides.

-4 - 3x = 4y

Divide all terms by 4.

(-4 - 3x)/4 = y

You might be interested in
Can someone give me the answer
EleoNora [17]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Using the same data, Complete the following
astra-53 [7]

Answer:

a) weight = 49.995 +0.103height +\epsilon

R^2 = 0.67051225196413

R^2_{adj} =0.66160717769289

F =75.2955260721013

b) H0:\beta_1 =0

H1: \beta_1 \neq 0

On this case the test statistc is given by t=8.67729946884982

And the p value obtined was: p_v =1.88977483236692x10^{-10} and since the p value is lower than th significance level we can reject the null hypothesis at 5% of significance. The slope is significant.

SE_{\beta_1}=0.0118255634597743

Step-by-step explanation:

We assume the following info:

Gender Height Weight

Male 73.84701702 241.8935632

Male 68.78190405 162.3104725

Male 74.11010539 212.7408556

Male 71.7309784 220.0424703

Male 69.88179586 206.3498006

Male 67.25301569 152.2121558

Male 68.78508125 183.9278886

Male 68.34851551 167.9711105

Male 67.01894966 175.9294404

Male 63.45649398 156.3996764

Male 71.19538228 186.6049256

Male 71.64080512 213.7411695

Male 64.76632913 167.1274611

Male 69.2830701 189.4461814

Male 69.24373223 186.434168

Male 67.6456197 172.1869301

Male 72.41831663 196.0285063

Male 63.97432572 172.8834702

Male 69.6400599 185.9839576

Male 67.93600485 182.426648

Male 67.91505019 174.1159291

Male 69.43943987 197.7314216

Male 66.14913196 149.173566

Male 75.20597361 228.7617806

Male 67.89319634 162.0066518

Male 68.1440328 192.3439766

Male 69.08963143 184.4351744

Male 72.80084352 206.8281894

Male 67.42124228 175.2139224

Male 68.49641536 154.3426389

Male 68.61811055 187.5068432

Male 74.03380762 212.9102253

Male 71.52821604 195.0322432

Male 69.1801611 205.1836213

Male 69.57720237 204.1641255

Male 70.4009288   192.9035151

Male 69.07617117 197.4882426

Male 67.19352328 183.8109732

Male 65.80731565 163.8518249

And we can use excel to solve the problem

Part a

On this case we need to click on Data>Data analysis>Regression>Ok

We select the input Y range and th X range and then we click in Ok.

The output obtained is on the first figure attached.

And in order to estimate the regression line we need to look into the column Coefficients, and for this case we got:

\beta_0 =49.995

\beta_1 =0.103

And the linear model would be given by:

weight = 49.995 +0.103height +\epsilon

For the determination coefficient we have:

R^2 = 0.67051225196413

And the adjusted R^2 =0.66160717769289

And if we analyze the output th F statistic is given by:

F =75.2955260721013

Part b

We want to test:

H0:\beta_1 =0

H1: \beta_1 \neq 0

On this case the test statistc is given by t=8.67729946884982

And the p value obtined was: p_v =1.88977483236692x10^{-10} and since the p value is lower than th significance level we can reject the null hypothesis at 5% of significance. The slope is significant.

The standard error for the slope is given in the output:

SE_{\beta_1}=0.0118255634597743

t=8.67729946884982

p_v =1.88977483236692x10^{-10}

We reject the null hypothesis.

5 0
3 years ago
Which is the better buy, $8.47 for 7 pounds of apples or $11.07 for 9 pounds? Explain
kogti [31]
8.47/7=1.21 per lb. 11.07/9=1.23 so $8.47 for 7lbs. is cheaper than 11.07 for 9lbs.
8 0
3 years ago
Pls answer this with work. its in the picture
defon

Answer:

180 pages

Step-by-step explanation:

First you find the slope of the line assuming this is linear. it's just the Rise over Run. so go up 4 over 2 which means the slope is going up two. so do 90 times 2 which is 180. That means Jeff read 180 pages.

3 0
3 years ago
Phil's garage charges $50 for towing and $40 per hour t o fix a car. Cliff's Cars charges $60 for towing and $38 per hour to fix
Volgvan
You have to add them both phils 4 times and add cliffs 5 times to get the sameanswer witch it 250
5 0
3 years ago
Other questions:
  • The amount of water remaining in a fish tank is given by the equation y = 175 - 15x where y is the number of gallons of water re
    9·1 answer
  • Find two consecutive even integers such that twice the smaller is 16 more than the larger
    6·2 answers
  • The table gives the boiling point of water at different altitudes.
    10·1 answer
  • The circle above represents the amount of fruits produced by a farmer . if 0 is the centre of the circle and the three angles at
    5·2 answers
  • Find the area of the following quadrilateral.
    8·1 answer
  • A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?
    14·1 answer
  • I NEED HELP PLEASE, THANKS :)
    14·1 answer
  • Help please &amp;&amp; thankssss
    6·2 answers
  • 10. Shown is a circle centre o
    7·1 answer
  • Renting boats on a lake cost $22 per hour plus a flat fee of $10 per insur
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!