What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7
Answers
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
_____
Additional comment
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
Related Questions
find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum
Answers
Answer:
To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...
Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.
Step-by-step explanation:
the decimal equivalent of 14/26
Answers
Answer: 0.53846153846154
Step-by-step explanation: you do
= 14/26
= 14 ÷ 26
= 0.53846153846154
Can you help me plzzzzzzz
Answers
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.
Answers
An inverse of a graph is reflected over y=x
There are `15` pieces of fruit in a bowl, and `6` of them are apples.
What percent of the pieces of fruit in
Answers
Answer:
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
⇒ Total number of pieces of fruit in a bowl = 15 pieces
and
Number of pieces of apple in a bowl = 6 pieces.
To find the percentage of the pieces of fruit in the Bowl are apples.
=
Therefore, 40% of the pieces of fruit in the Bowl are apples.
Answer:
percent of apples = 40%
percent that is not apple = 60%
Step-by-step explanation:
percent of apples = 6/15 × 100% = 40%
percent that is not apple = 9/15 × 100% = 60%
What is median number.
Answers
A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.
Answers
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
Answers
hope it helps!!!!!!!!!!!!!!!!!!!!!!
I need help on these two PLEASE!!
Answers
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
Hi I was wondering if someone can help me with the math problem?
Answers
Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
what is 2 x 5/8 in fractions i need help
Answers
Answer:
5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.
5/8 x 2 = 1.25
in decimal form.
Step-by-step explanation:
The solution of the fraction is,
⇒ 5 / 4
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The fraction is,
⇒ 2 × 5/8
Now, We can simplify as;
The fraction is,
⇒ 2 × 5/8
Multiply as;
⇒ 10 / 8
⇒ 5 / 4
Thus, The solution of the fraction is,
⇒ 5 / 4
Learn more aboput the multiplication visit:
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Solve.
x−(−2 3/8)=−1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Answers
Different form : -21/8
Decimal form: -2.625
For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc
Answers
Answer:
the answer is c
Step-by-step explanation:
cos30 = sin60
then cos30 - sin 30 = 0
c is the only choice which can satisfy in the problem
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
Answers
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
How do you evaluate (x+3)2 ?
Answers
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
Francis's rectangular lawn has a length of 2x + 1 feet and a width of x + 1 feet. She plants a square garden with a side length of x + 2 feet
in the lawn. What is the area of the lawn not covered by the garden?
Answers
Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
Step-by-step explanation:
Answer:x^2-x-3
Step-by-step explanation:
step 1-find area of rectangular lawn
(2x+1)(x+1)=2x^2+3x+1
step 2-find area of garden
(x+2)(x+2)=x^2+4x+4
step 3- subtract the two
=x^2-x-3
For reviewing purposes
Answers
Answer:
(25-16)/9=
=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)
a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
Answers
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Which statement is true?
−2.4<−2.40
−2.4>−2.40
−2.4≠−2.40
−2.4≤−2.40
Answers
Answer: −2.4≤−2.40
Step-by-step explanation:
Tough one. I judge −2.4 ≤−2.40 to be the correct answer. The difference in significant digits only tells us we don't know for certain that they are equal. But 2.4 MAY be equal, or less than 2.40. None of the others options allows for the fact that they may be equal.
how can you solve this (3/4 - 1/5)
Answers
Answer:
11/20
Step-by-step explanation:
What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?
Answers
Answer:
172.8
Step-by-step explanation:
to get density its mass over volume so if you mutiply volume by density you get the mass
What is the equation for the line in slope-intercept form?
Enter your answer in the box. I'll give you 100 points
Answers
Answer:
y = -4x + 5.
Explanation:
Count rise/run to find the slope, find the y-intercept.
Answer:
y = -4x + 3
Step-by-step explanation:
First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].
5-13/0-(-2)
-8/2
-4
Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.
Third, input everything we found.
y = -4x + 5
Best of Luck!
8. Expand, then simplify: (2 Points) (2a – 3) (a2 + 3a - 5)
Answers
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
Solve for v.
–1 = 4v − 13
v =
Answers
Answer:
-1+13=4v
12=4v
v=3
....
.............
add 13 on both sides
-1 + 13 = 4v - 13 + 13
12 = 4v
divide by 4 on both sides
12/4 = 4v/4
v = 3
How to multiply decimal numbers.
Answers
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation: Hope it helps!!!!
4(x+6)=3x-7 please could you help me
Answers
Hello!
Let's use the Distiributive property:
4(x+6)
4x+24
4x+24=3x-7
Move all the variables to the left:
4x-3x=-7-24
x=-31
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Help!?! I have no clue how to solve it :/
Answers
59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder
Answers
Answer:
14 R3
Step-by-step explanation:
the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56
Answer: 14R3
Step-by-step explanation:
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answers
Answer:
19 cents because 2.85/15=0.19ct and now we round it up its 20cents!
Step-by-step explanation:
Hope this helps!
Answer:
The answer is $0.19
Step-by-step explanation:
Divide 2.85 by 15.
2.85 ÷ 15 = 0.19