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Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)
[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]
[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]
[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]
Are the triangles congruent! (Help)
Simplify the expression.5(z+4)+5(2−z)
Answer:
30
Step-by-step explanation:
Hope this helps!!! :))
Help me with questions please
Answer:
530.93 OR 530.9
Step-by-step explanation:
Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]
So now we multiply 13 squared or 13 x 13 which equals 169
Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give us our answer.
530.93
530.9
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
Use Pascal's Triangle to determine the sixth term of the expansion of (x + 5)^7
Pascal's triangle up to the 7th row (starting with 0)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
Then the 6th term in the expansion of (x + 5)⁷ is
7 • x¹ • 5⁶ = 109375x
100 POINTS! show work or i report!
Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?
Answer:
$4,720
Step-by-step explanation:
$4,000 fridge
$120/1 year
[tex]\frac{120}{1} = \frac{x}{6}[/tex]
120 * 6 = 720
720 / 1 = 720
$720 for 6 years
720 + 4,000 = 4,720
$4,720
Answer:
$4,720
Step-by-step explanation:
is it linear??? plzzzzz
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
keenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?
Answer:
45
Step-by-step explanation:
divide 3.15 by 0.07 to get 45
Answer:45
Step-by-step explanation:
divide 3.15 by 0.07 answer 45
The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.
Answer:
i: 14
ii: 140
iii: 770
(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.
Step-by-step explanation:
i: 650/40=14
ii: 14x10=140
iii: 14x55=770
what is the greatest common factor of
8x - 12
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
what if 5476 divided by 74? i need the working out too please!
I hope that the attachment helps you..
A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
Answer:
so no answer
Step-by-step explanation:
no answer
what is multiple integrals
Dependent Task:
Directions: Write the place value and the value of the underlined digit.
Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______
(UNDERLINED DIGIT)
1. 5
2.3
3.4
please
Answer
Use your mind
Nobody wants to help you, especially since you are no help to others.
Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)
Answer: C
Step-by-step explanation:
Hope it help
4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12
Answer:
12/12
Step-by-step explanation:
6/12= 1/2
so 1/2+1/2 = One Whole and that the same thing as 12/12
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay
Answer:
no clue -0- if I knew I would tell you
HELP!! DUE IN 10 MINS!!!
Solve the following system using the elimination method.
x+y=12
x−y=12
Answer:
x = 12
y = 0
Step-by-step explanation:
Sum them:
2x = 24
so x = 12
12 - y = 12
so y = 0
The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?
[tex]v^{2}[/tex]Answer:
4 feet long
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
In this problem, a and b are the legs of the triangle, while c is the hypotenuse
Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:
5 + 11 = [tex]c^{2}[/tex]
Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.
Solve this quadratic function
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]
now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]
[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]
25.3 + x= 32 what is the answer to this problem
Answer:
6.7
Step-by-step explanation:
Answer:
6.700
Step-by-step explanation:
hope this helped
-6/5 - (-3/8)
Help please
Answer:
-0.825
Step-by-step explanation:
Did not know the options so do not know if this is right or not.
Here is ur answer.
- BRAINLIEST answerer
Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
Write an equation with a slope of 2 and a constant of -5
Find the slope of the line that passes through:
(-12,-5) and (0, -8)
Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B
Answer:
The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.
Which choices are equivalent to the expression below? Check all that apply.
4./6
O A. 96
B. 132.5
I C. 4../36
O D. 116.6
E. 196
OF V24
SUBMIT
2 short questions
Please help
Answer:
b c = 5.25p this is the answer
For the first problem shown the answer is number B.
It is B because we our always going up by $5.25
For our second one it isn't a function,
it isn't a function because it follows the same rule through-out it besides at the end of it.