Solve the following system of equations.

3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28

Solution(s):

Answer:

Step-by-step explanation:

I assume the problem is to graph the lines.  The easiest is to pick two values of x and calculate y for each line.  For example:

21.  y = -4x + 5  I'll randomly choose vales of 1 and 2 for x and calculate y:

(1, 1)  and   (2, -3)

Now mark those two points and draw a straight line through them.  It is an equation of a straight line, so we know this will be correct.

22.  Same process:

(1,6) and (2,7)

23.  (1,0) and (2,-3)

24.  (1,-4) and (2,-6)

=====================

These are shown in the attachment.  What's also shown is the second method of producing the lines:  Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

Answer:

X=24

Step-by-step explanation:

(X+16)°+6x=180°(being co-interior angle)

7x=180-16

X=164÷7

X=23.428

X=23

or,

(3x-1)+5x=180(being co-interior angle)

8x=181

X=181÷8

X=22.625=23

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

_________________

For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

_________________

[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

_________________

[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

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Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

Answer:

9.6

Step-by-step explanation:

8% of 60 is 4.8

4.8 is half of 9.6

hope this helps! :D

have a miraculous day!! <3

Answer:

9.6

Step-by-step explanation:

8% of 60 is equal to 4.8

To find what 4.8 is half of, multiply 4.8 by 2

4.8 times 2 equals 9.6

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

To learn more about descending order click :

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Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).

Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

Answer:

The coordinates are A. (-3.8, 5.2) and B. (7, -2).

Step-by-step explanation:

At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:

2x^2 + 3y^2 = 110

2x + 3y = 8

From the above equation

x = (8 - 3y)/2

So substituting for x in the first equation:

2 [(8-3y)/2]^2 + 3y^2 = 110

(8-3y)^2 / 2 + 3y^2 = 110

Multiply through by 2:

(8 - 3y)^2 + 6y^2 = 220

64 + 9y^2 - 48y + 6y^2 - 220 = 0

15y^2 - 48y - 156 = 0

3(5y^2 - 16y - 52) = 0

(5y - 26)(y + 2) = 0

y = 26/5, 2

y = 5.2,  -2.

So substituting in 2x + 3y = 8

When y = -2:

2x - 6 = 8

2x = 14

x = 7.

When y = 5.2

2x + 3(5.2) = 8

2x = 8 - 15.6 = -7.6

x = -3.8.

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

Answer: The answer is B, a car traveling 25 km/h.

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

The percent error of the measurement, to the nearest tenth of a percent is 3.9%

Given:

Length measured = 12.2 inches

Actual length = 12.7 inches

Error = Actual length - Length measured

= 12.7 - 12.2

= 0.5

Percentage error = error / actual value × 100

= 0.5/12.7 × 100

= 0.039370078740157 × 100

= 3.937%

Approximately,

Percentage error = 3.9%

Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%

Learn more about percentage error:

https://brainly.com/question/5493941

Answer:

A and D is representing the solution.

Step-by-step explanation:

We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.

Hoped this helped.

[tex]GeniusUser[/tex]