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
lions [1.4K]
4 years ago
14

Which equation is part of solving the system by substitution? 4(y + 11)2 – 3y2 = 8 4(11 – y)2 – 3y2 = 8 4(y – 11)2 – 3y2 = 8 4(–

11y)2 – 3y2 = 8

Mathematics
2 answers:
sweet [91]4 years ago
5 0

Answer : The equation which is the part of solving the system by substitution is,

4(11-y)^2-3y^2=8

Step-by-step explanation:

As we are given two equations as:

x+y=11      ............(1)

4x^2-3y^2=8    .............(2)

From equation 1, we get the value of 'x'.

x=11-y     ............(3)

Now substitute equation 3 in equation 2, we get:

4x^2-3y^2=8

4(11-y)^2-3y^2=8

Thus, the equation which is the part of solving the system by substitution is,

4(11-y)^2-3y^2=8

swat324 years ago
3 0

Answer:

4(11-y)^{2} -3y^{2}=8

Step-by-step explanation:

we have

x+y=11 ----> equation A

4x^{2} -3y^{2}=8 ----> equation B

Solve the system by substitution

step 1

isolate the variable x in the equation A

x=11-y ----> equation A1

step 2

Substitute the equation A1 in the equation B

4(11-y)^{2} -3y^{2}=8

Solve for y

You might be interested in
Which number line represents the solution set for the inequality 3(8-4x)<6(x-5)?
djverab [1.8K]

we have

3(8-4x) 54\\ x > (54/18)\\x > 3

the solution is the interval -------> (3,∞)

therefore

the answer in the attached figure

3 0
3 years ago
Read 2 more answers
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Vitek1552 [10]

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

3 0
3 years ago
Read 2 more answers
Of the 22 students in the class, 16 of them are boys.
Eddi Din [679]
22 students...16 boys

probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%
6 0
3 years ago
EASY MATH QUESTION<br><br> PLEASE HELP
Ksju [112]

Answer:

-27

Step-by-step explanation:

substitute x for 5

f(5)=-5(5)-2

multiply -5 and 5

-25-2

subtract 2 from -25

-27

5 0
3 years ago
Read 2 more answers
Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumfer
almond37 [142]

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

Please find the complete question in the attachment file.

In point a:

\to \mu=\frac{\sum xi}{n}

       =22.8

\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}

       =\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187

In point b:

\to \mu=\frac{\sum xi}{n}

       =20.6875  

\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}

       =\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251

In point c:

 \to \mu=\frac{\sum xi}{n}

         =21  

\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}

       =\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179

In point d:

\to \mu=\frac{\sum xi}{n}

       =20.8375  

\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}

       =\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\  =\sqrt{0.553166667} \\\\ =0.7438

6 0
3 years ago
Other questions:
  • While taking inventory at her bakery, Ruby noticed that she had 5⁄6 pound of cinnamon yesterday, but now had only 2⁄3 pound. How
    11·2 answers
  • an equation for the line perpendicular to the line 4x + 8y = 7 having the same y -intercept as −3x + 5y = −2
    10·1 answer
  • Ezra is participating in a walk for charity. he knows hecan walk 3 miles in 45 minutes. at that rate, how long will it take ezra
    10·1 answer
  • What type of data distribution is shown on the<br> graph?
    8·2 answers
  • Can someone help me with “Write The Following In Standard Form?” This is due in a few minutes please help!
    14·1 answer
  • Consider the following sets of matrices: M2(R) is the set of all 2 x 2 real matrices; GL2(R) is the subset of M2(R) with non-zer
    7·1 answer
  • X = either 100 , 140 , or 120
    8·2 answers
  • Provide two examples that support the healthcare industry’s reliance on metrology for accuracy of instruments.
    10·2 answers
  • 120% of what number is 48
    11·1 answer
  • Brandon was playing a video game where he scores three points for each treasure he finds. If he found 32 treasures on the first
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!