use the elimination method to solve the following system of equations
2x+y=7
6x-y=9
Answers
Answer:
x=2
Step-by-step explanation:
We see that there is already a common variable that can be canceled out -- y. y+(-y)=0! (Alternatively you may also multiply an equation by negative 1 and do subtraction, but in this case it's already done for you)
So now we just do some addition.
2x+6x=8x
y+(-y)=0
7+9=16
This means that 8x=16. Now we solve!
(Divide both sides by 8)
We're left with x=2 :)
Related Questions
Solve for x, given the attached image.
Answers
Answer:
x = 8
Step-by-step explanation:
Central angle = measure of intercepted arc
Central angle = 47°
Arc measure = 7 + 5x
Therefore:
7 + 5x = 47
Subtract 7 form both sides
5x = 47 - 7
5x = 40
Divide both sides by 5
x = 40/5
x = 8
How much water do you add to make 12% sugar syrup using 5g sugar.
Answers
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
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Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders.
Which inequality can be used to find the possible values for s?
Answers
He needs to sell a MINIMUM of 100 orders which means that he can send 100 or more. If he’s already sold 45 then he needs to sell AT LEAST 55 more which means that the variable s, sales left, is greater than or equal to 55
Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis to form Graph C.
Answers
Answer:
the answer is B (graph a and c)
just did the test on edg 21
Step-by-step explanation:
i hope this helps!! have an amazing day <3
If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse.
What is the inverse of a function?The inverse of a function is basically a reverse function or undo of the function.
For example y = f(x) then inverse will be x = f(y).
It means in the inverse function we need to interchange x and y.
Another example y = 3x² ⇒ x = √(y/3) will be the inverse.
An inverse function is a reflection of graph across y = x and due to that coordinate will interchange its that ;
( x ,y ) → ( y , x )
Since graph A is rotated about the x-axis to make graph B
Now,
Graph A is rotated( which is B ) and reflected across the axis y = x to form Graph C.
So B and C will be the inverse of each other.
Hence "If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse".
For more information about the inverse of a function,
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The given question is incomplete complete question is ;
Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, and 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis y = x to form Graph C.
Please help if you can!!!!!!
Answers
Answer:
Perpendicular
PLEASE ANSWER THIS QUESTION RIGHT.What do we call the graph of a quadratic?
Answers
Answer:
parabola
Step-by-step explanation:
Asanji's school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 1 adult ticket and 1 student ticket for a total of $18. The school took in $57 on the second
day by selling 3 adult tickets and 4 student tickets. Find the price of an adult ticket and the price
of a student ticket.
Answers
Answer:
j
Step-by-step explanation:
Answer: The price of adult ticket is $ 13and child ticket is $12.Hope this will help u.....
Step-by-step explanation:
Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answers
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Can someone please help
Answers
Answer:
340
Step-by-step explanation:
Which description is paired with its correct expression? two less than the quotient of a number cubed and four, increased by eight; 2 minus StartFraction n cubed Over 4 EndFraction + 8 six times the difference of five and a number squared; 6 (n squared minus 5) three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2 twice the difference of a number squared and three; 2 n squared minus 3
Answers
Answer:
Three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i took the review
One lap around a track is equal to 1/4 of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was the horse's average speed in miles per minute? Need Help!!
Answers
So the horse ran 2.25 miles in 150 seconds
To find the mile time in seconds divide 150 by 2.25 which equals 66.7sec per mile but it’s asking miles per minute and one mile is over a min so he runs Less than one mile per minute. So now you must divide 60 by 66.7 to find that he runs .89 miles per min.
Factor the expression. d2 + 10d + 25
Answers
Answer:
(d+5)^2
Step-by-step explanation:
An inequality is shown below.
Which situation is best represented by the inequality?
Answers
Answer:
Option C is the correct answer.
Comment for explaination
The sum of two numbers is 57 . The smaller number is 17 less than the larger number. What are the numbers?
Answers
Answer:
two numbers are 37 and 20
Step-by-step explanation:
x+y=57
let x be the smaller number
y=x+17
x + x+17=57
2x=57-17
2x=40
x=20
y=x +17
y=20+17
y=37
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answers
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
Evaluate the expression 6x for x 6.
6x = blank when x=6
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
x = 6[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of 6x[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~ Plug the value of x and then multiply !
⇾ [tex] \tt{6x = 6 \times 6 \times = \boxed{36}}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{36}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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-3 + x ≤ -11
a)x ≤ -8
b)x ≤ 8
c)x ≥ -8
d)x ≥ 8
Answers
Answer:
a) x ≤ -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3 + x ≤ -11
Step 2: Solve for x
[Addition Property of Equality] Add 3 on both sides: x ≤ -8Here we see that any value x smaller than or equal to -8 would work as a solution to the inequality.
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answers
Answer:
4 1/3(b-21) im pretty sure
Simplify the expression.
21 + 49 divided by 7 + 1
Answers
Answer:
60 divided by 8
Step-by-step explanation:
60 divided by 8
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answers
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
si el area del cuadrado es de 80 m cuanto vale la m
Answers
Answer:
El lado del cuadrado es de 20 my el área del cuadrado es de 400 metros cuadrados. Paso a paso ... El perímetro de un cuadrado es 80 m. ¿Cuál es la longitud de cada lado del cuadrado ... Para celosía & lt; L, * & gt; si a, b, ce L thena + (a e b) = a se llama.
Step-by-step explanation:
The area of the square above is 36. What is the value of x?
A) 2
B) 4
C) 6
D) 9
Answers
I think it is A)2 because 3^2 = 9 and 9×4 = 36
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answers
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
If and are the radi of two concentric circles and (r. > r.). If the chord
of the larger circle AB touches the inter circle. Find the value of AB
Answers
Answer:
r1 and r2 are the radii of two concentric circles
To find:
The length of the chord of the larger circle.
Solution:
We have given the two concentric circles which means both the circles have the same centre.
The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.
And we know that the radius of the circle is perpendicular to the tangent of the circle.
Let 2x be the length of the chord of the circle.
r1 is the radius of the larger circle.
r2 is the radius of the smaller circle.
So by the Pythagoras theorem,
The length of the half of the chord is given by:
r1² = x² + r2²
x² = r1² - r2²
x = √r1² - r2²
So,
The length of the chord will be 2x = 2√r1² - r2² units
Step-by-step explanation:
solve fast please. its related to mathematics...
Answers
Answer:
The answer is 6
Step-by-step explanation:
[tex]\lim_{x \to 4} \frac{x^3 - 64}{x^2 - 16} \\\\= \lim_{x \to 4} \frac{x^3 - 64}{(x + 4)(x - 4)} \\\\=\lim_{x \to 4} \frac{(x^2 + 4x + 16)(x - 4)}{(x + 4)(x - 4)} \\\\= \lim_{x \to 4} \frac{(x^2 + 4x + 16)}{(x + 4)} \\\\= (16 + 16 + 16) / 8\\= 48 / 8\\= 6[/tex]
4+8= 2 x (6-3)
Can somebody help me ASAP
Answers
Answer: 12≠6
False
Step-by-step explanation:
What is the height of the cone below?
Answers
Answer:
Where's the cone at and I might be able to help
Step-by-step explanation:
Answer: Please put a picture of the cone underneath the question!
Step-by-step explanation:
There is a line that includes the point (-5, 2) and has a slope of -3. What is its equation in slope-intercept form?
Answers
Answer:
y=-3x-13
Step-by-step explanation:
Answer:
1 .
Step-by-step explanation:
If it is completely impossible to put a contract in writing, which of the following would be the best substitute?
a. having a friend witness the verbal agreement
a video or audio recording of the verbal agreement
the words "I promise" spoken in a verbal recitation of the contract
d. a firm hand-shake between all those involved in the contract
C.
Please select the best answer from the choices provided
Answers
Answer:
B
Step-by-step explanation:
Because the the contract will be in verbal form. no matter if it is videotaped or recorded or both a "videoed verbal contract" not just written. so like paper thst is notarized or not this is still the same bc the the same rules apply the contract is still valid. the rest of the options are more like what they call gentlemens agreements which would be the handshake type of thing. and no matter what any agreement someone has to witness the transaction or contract. so definitely the answer is B
One of these students is chosen at random What is the probability that this student went to Paris
Answers
Answer:
1/how ever many students are going to Paris
Step-by-step explanation: