Answers
Answer:
x = -22/3 and y = -1
Step-by-step explanation:
First, simplify the equation 12x + 20y = -108 by dividing both sides by 4:
3x + 5y = -27
now, you can subtract the two equations:
3x + 5y = -27
- (3x - 12y = -10)
17y = -17
y = -1
plug y = -1 into the equation 3x - 12y = -10
3x - 12 *(-1) = -10
3x + 12 = -10
3x = -22
x = -22/3
Answer:
-(22/3,-1)
Step-by-step explanation:
Related Questions
choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure do you get? in what quadrants does this figure lie in?
Answers
Answer:
The figure is a straight line.
The figure lies in the first and the third quadrants.
Step-by-step explanation:
Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]
Here, the first and second coordinates are equal.
Now, plot these points and connect them.
From the graph, it can be observed that the figure is a straight line.
Also, the figure lies in the first and the third quadrants.
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answers
California is at higher risks for earthquakes, because it near the Pacific Ocean
Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)
Answers
The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
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Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
Answers
Answer:
-5x^6 - 2x^5 + 4x^2 + 3x + 3
Step-by-step explanation:
Combine like terms from each of the polynomials.
(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)
(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)
Then, order them by degree.
-5x^6 -2x^5 + 4x^2 + 3x + 3
I need help finding the value of each express?
Answers
Answer:
part B (12)
part C (-6)
part D (6)
Step-by-step explanation:
just divide and multiply
A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
Answers
r*60 minutes =5 cakes
60r=5, divide off 60 to find her rate
r=1/12
1/12 * c minutes =job
i’m not sure if there’s meant to be a value for the C but if so just divide the time in minutes by twelve for the amount of cakes she would bake
Answer:
No cakes.
Step-by-step explanation:
5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.
Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =
Answers
Step-by-step explanation:
r = 7x + 7y
8 = 7x + 7 ×2
8 = 7x + 14
7x = 14 - 8
7x = 6
X = 6 / 7
Answer:
it's clear right
Step-by-step explanation:
i hope it's helps
Evaluate this expression for a = 2 and b= 3.
Answers
Answer:
16
Step-by-step explanation:
replace a with 2 and b with 3 in the expression and solve as follows
(2 + 5)-3 / 3-4 + 2(3+3)/ 2
7 - 3/-1 +12/2
14 + 6 +12/2
32 / 2
16
Solve for the variable: (x – 3)2 = 0
Answers
Answer:
x=3
Step-by-step explanation:
(x-3)2=0
= 2x-6=0
= 2x=6
= x=3
Answer:
thw answer is x=3
Step-by-step explanation:
hoped I helped:)
Who is good at accounting
Please answer
Answers
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
Solve for n. 56 = -4n
Answers
Answer:
-14
Step-by-step explanation:
ok
Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you
Answers
a
Step-by-step explanation:
Find the area of the shaded (gray) region.
Question 13 options:
24 cm squared
60 cm squared
84 cm squared
36 cm squared
Answers
HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST
Answers
Answer:
.........(loading)....................
Step-by-step explanation:
...........................
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answers
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
What’s this shape called?
Answers
Answer:
This shape is called triangle
helpppppppppppp! please
Answers
Answer:
x = 36
Step-by-step explanation:
2x + 3x = 180° (consecutive angles are supplementary)
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Which is the directrix of a parabola with equation x2 = 8y?
O y = 2
O X=-2
O y=-2
O X=2
Answers
Answer:
Y=-2
Step-by-step explanation:
You would use the vertex form to find the directrix
The directrix is a horizontal line that is y = -2.
Option C is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x-h)^2 + k
We have,
The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.
To find the value of p, we need to rewrite the equation of the parabola in the standard form:
x² = 8y
Dividing both sides by 8, we get:
x²/8 = y
Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.
Therefore,
The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).
i.e
y = -2.
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A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles
Answers
Answer:
a. Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
b) Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Step-by-step explanation:
a) Data and Calculations:
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
Restocking: Matrix C
Hard Soft Plastic
San Francisco 500 1,400 1,400
Los Angeles 600 600 600
Total Sales over the first 6 months =
Matrix B * 6 = Matrix B6
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
* 6
=
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Matrix C6 = Matrix C * 6
=
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
Inventory at the end of June =
Matrix A + Matrix C6 - Matrix B6
= Matrix D
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
+
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
-
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket.
The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get.
3 (x+1) = 3 1/3
How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound
Answers
Answer: They have 1/3 pounds of fertilizer and 3 buckets
Step-by-step explanation:
Evaluate the expression. (38 + 10) ÷ 12 + 52
Answers
4+52=56
Answer 56
Answer:
56
Step-by-step explanation:
(Use PEMDAS for the order of operations)
First, solve everything in parentheses. You get this:
48 ÷ 12 + 52
Next, divide. You get this:
4 + 52
Lastly, add for the answer:
56
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answers
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
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Please help me please !
Answers
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)
A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2
Answers
Answer:
D) [tex]\frac{-3}{2}[/tex]
The slope of the line m = [tex]\frac{-3}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the points are (-4,10) and (4,-2)
we have to find that the slope of the line
Step(ii):-
Solution:-
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m = \frac{-2-10}{4-(-4) }[/tex]
[tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]
Final answer:-
The slope of the line m = [tex]\frac{-3}{2}[/tex]
HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT
if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin
Answers
Answer:
( -1 , -2 )
Step-by-step explanation:
Find the values of x, y, and z.
Answers
Answer:
x = 20°
y = 160°
z = 160°
Step-by-step explanation:
x = 20°
(Measure of arc is equal to the measure of its corresponding central angle)
z = 180° - 20°
(Linear pair angles)
z = 160°
y = z
(Measure of arc is equal to the measure of its corresponding central angle)
y = 160°
Which two integers does the square root of 99 lie between?
Answers
Answer: the square root of 99 lies somewhere between 9.9 and 10.
Step-by-step explanation:
Answer:9 and 10
Step-by-step explanation:
it was hw
6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!
Answers
Explanation:
4x6=24
2x3=6
24-6=18
Hope this helps!:)
PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.
Answers
Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?
Answers
(including herself)
so 36 smarties should be evenly distributed among 4 people
so answer = 36/4 = 9
