Answer:
Your solution is (-1, 1).
Step-by-step explanation:
-2x = 8 - 6y
-15x = 21 - 6y
Let's solve this through elimination.
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.
-15x = 21 - 6y
-1(-15x = 21 - 6y)
15x = -21 + 6y
Now we have a new equation in our system.
-2x = 8 - 6y
15x = -21 + 6y
Now, eliminate by performing each action given by the terms.
-2x = 8 - 6y
15x = -21 + 6y
___________
13x = -13
Divide both sides by 13 to isolate x.
x = -1
Now that we know x, plug it back into one of the original equations to find y.
-2x = 8 - 6y
-2(-1) = 8 - 6y
Multiply.
2 = 8 - 6y
Subtract 8 from both sides.
-6 = -6y
Divide both sides by -6.
y = 1
Your solution is (-1, 1).
Check your answer by plugging both values into one of the original equations.
-15x = 21 - 6y
-15(-1) = 21 - 6(1)
Multiply.
15 = 21 - 6
Add 6 to both sides.
15 = 15
Your answer is correct.
Hope this helps!
Answer:
(-1,1)
Step-by-step explanation:
-2x = 8 -6y *
-15x = 21 - 6y
Solve for -6y:
-6y = -8 - 2x *
-15x = 21 - 6y
Substitute the given value of 6y into second equation, you get:
-15x = 21 -8 - 2x
Solving this equation for x gets you:
x = -1
Substitute this value (x = -1) into the equation (-6y = -8 - 2x):
-6y = -8 - 2x (-1)
This provides y:
y = 1
125
Solve for <1.
41 = [?]
21
37°
88°
Answer:
<1+125=180°{linear pair}
<1=180-125
<1=55
Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win "$2, and if the card is anything else you lose $1". If you agree to play the game, what is your expected gain or loss (in dollars) per game? (Recall that there are 12 face cards in a standard 52-card deck. Round your answer to two decimal places.) $
Answer:
Your expected loss per game is of $0.31.
Step-by-step explanation:
In a standard 52-card deck, we have that:
There are 12 face cards.
What is your expected gain or loss (in dollars) per game?
12/52 probability of winning $2.
1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So
[tex]E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31[/tex]
Negative, so a loss is expected.
Your expected loss per game is of $0.31.
What is the value of r, in inches?
7 in.
B
1403
30°
D
21
X
9514 1404 393
Answer:
A. 7√3
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.
x = 7√3
One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
h
If the original principal of Jimmy
Christensen's account balance today
is $3,450.00, the balance after 2 years is
$3,485.95, and he made no other deposits,
how much interest did he earn?
A $123.95
B $34.95
C $3,485.95
D$35.95
HELP PLEASE write an equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11)
The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]
How to determine the ellipse equation?We have:
Vertices = (0, ± 11),
Foci = (0, ± 10)
The vertices and the foci are represented as:
Foci = (0, ± a)
Vertices = (0, ± c)
So, we have:
a = 10
c = 11
The equation of b is calculated using:
b² = c²- a²
So, we have:
b² = 11²- 10²
Evaluate
b² = 21
The equation of the ellipse is then represented as:
[tex]\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]
This gives
[tex]\frac{x^2}{21} + \frac{y^2}{10^2} = 1[/tex]
[tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]
Hence, the equation of the ellipse is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]
Read more about ellipse equations at:
https://brainly.com/question/10411406
#SPJ2
Answer:
x^2/221+Y^2/121=1
Step-by-step explanation:
Please help you dont have to do them all
Answer:
can u zoom into it
Step-by-step explanation:
Plz help me well mark brainliest if correct...........???
Answer:
A. Second Grade
Step-by-step explanation:
A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?
Answer:
you would have 8 cents
Step-by-step explanation:
:D hope this helps!!
A mathematics textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems? (NO LINKS, IF I SEE A LINK I'LL TAKE IT DOWN
Answer:
3 pages of instruction for every practice problem
Step-by-step explanation:
Can anyone solve this for me??!
state if the triangles in each pair are similar. if so state how you know they are similar and complete the similarity statement
Answer:
Similar, SSS similarity JKL
Step-by-step explanation:
Help plzzzzz hurry
Answer:
-9, -5, -4.1, -4
[tex]\\q\leq -4[/tex]
Step-by-step explanation:
I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.
If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.
For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign
[tex]-q\geq 4\\q\leq -4[/tex]
the > sign turned into <, and the q and 4 switched signs.
Guys Whats is 4+1037+76 I'll give branliest no calculator no search only brain all of u I eill give brainliest please help me
[tex]\huge \pink\star\huge{ \pink{\bold {\underline {\underline {\red{Answer }}}}}} [/tex]
➭Doing it all using mental math
Step 1:[tex] 1037 + 4 \\ =1041[/tex]
Step 2:[tex]1041 + 76 \\ = 1117[/tex]
convert (-2,2) into equivalent polar coordinates
f (x)
2x2+72-15
3x2 +13x –10
Horizontal Asymptote- type your answer..
Answer:
2×2+72-15
=4+72-15
=76-15
=61
3×2+13×-10
=6-130
=-124
y=25 is a solution to the inequality y−24<16
Answer:
The answer should be true.y<401<16Step-by-step explanation:
To solve this inequality, isolate the term of y from one side of the equation.
y-24<16
First, add 24 from both sides.
[tex]\sf{y-24+24<16+24}[/tex]
Solve.
Add.
[tex]\sf{24+16=40}[/tex]
[tex]\large\boxed{y<40}[/tex]
Therefore, the solution is y<40.
y=25 should be subtract by 24 is less than 16.
25-24<16
Solve.
Subtract.
25-24=1
Rewrite the problem down.
1<16
These statements are true.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{We know that }<\large\text{ is less than and }> \large\text{ is greater than.}[/tex]
[tex]\large\text{If y = 25, then substitute it into the given equation or inequality.}[/tex]
[tex]\mathsf{\underline{25}-24<16}[/tex]
[tex]\mathsf{25-24=\bf 1}[/tex]
[tex]\large\text{16 is \underline{greater than} 1 but 1 is \underline{less than} 16}[/tex]
[tex]\mathsf{1<16}[/tex]
[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \boxed{\mathsf{\bold{1<16}\ \& \ it \ is \bold{\ TRUE}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Determine if the following functions are inverses of each other:
f(x) = 7x + 14
g(x) = (1/7)x - 2
Answer:
both outputs are x so f(x) and g(x) are inverses of each other
Step-by-step explanation:
Answer:
what are the options of answers?
Step-by-step explanation:
Which of the following set of angle measures represents the measures of the angles of a triangle?
Use the formula R = log I, where R is the measurement of the Ritchter scale and i is the intensity, to find the Ritchter scale measurement of an earthquake with intensity 24,000,000. NO LINKS!!!
9514 1404 393
Answer:
7.4
Step-by-step explanation:
Put the given value into the formula and do the arithmetic.
R = log(2.4×10^7)
R ≈ 7.3802 ≈ 7.4
The earthquake is about 7.4 on the Richter scale.
jannie has 2 liters of orange squash she also has some empty cups One full Beach club holds 30 mL of orange squash jennine files as many cups as possible How much orange squash does janine have after filing as many cups as possible
Answer:
The question is a bit incorrect as there isnt mentioned how many cups are there.But if you meant how many 30ml cups can Jannie fill it would be 66.66 cups or 67/66 cups .
Step-by-step explanation:
If you would correct your answer I would try my best to give you the brainliest answer.
List the side lengths from shortest to longest. (20 points)
Answer:
b, a, c
Step-by-step explanation:'
The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest
Hope this helps!
Answer:
b ,a ,c
Step-by-step explanation:
The side opposite the smallest angle is the shortest
The smallest
x = 180 - 70 -62 = 48
48 is the smallest angle so b is the smallest side
The side opposite the largest angle is the longest side
70 is the largest angle so c is the longest side
b ,a ,c
30)
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 747
Answer:
871.5
Step-by-step explanation:
directly proportional
y = kx
y = 12 when x = 14
12 = k(14)
k = 12/14
k = 6/7
--------------------------
what is the value of x when y = 747
747 = (6/7) * x
Multiply both sides by 7/6
747 * 7/6 = x
871.5 = x
Can someone please help me I will mark u brilliant
Answer:
The mean is 12.
Step-by-step explanation:
Add all the given numbers
7 + 14 + 15 + 9 + 11 + 14 + 11 + 10 + 17
Which equals to 108
You divide 108 by the total numbers added which in this case is 9.
108/9 = 12
Hope this helps :)
Which of the following, to the nearest tenth, is a solution of f(x) = g (x) if f (x) = in (x + 5 ) - 1 and g(x) =x^3 - 2x+1
A) 0.5
B) -1.6
C) -2.3
D) 1.9
Answer:
c
Step-by-step explanation:
Relationships in Figures
Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB?
a. 1
b. 1.618
c. 1.32
d. 1.543
Please select the best answer from the choices provided
Answer:
B. 1.618
Step-by-step explanation:
I calculated it logically
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answer:
C and B
Step-by-step explanation:
help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]
Answer:
120cm^3
Step-by-step explanation:
Which numbers are irrational?
-4
5/19
0.573
7/3
Pie
Square root of 11
Answer:-4 and 0.573
Step-by-step explanation:
Whats 9+10?
Answer the question.
Answer: 21
Step-by-step explanation: Okay but actually its 19 :)