Step-by-step explanation:
3x + y = 11 ...(1)
2x - y = 4 ...(2)
From equation (1) we get,
3x + y = 11
x = 11 - y/3
Now, put the value of x = 11 - y/3 in equation (2) we get,
2x - y = 4
2(11 - y/3) - y = 4
22 - 2y/3 - y = 4
22 - 2y - 3y = 12
22 - 5y = 12
5y = 22- 12
5y = 10
y = 10/5
y = 2
Now, Put the value of y = 2 in equation (1)
3x + y = 11
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Thus, The value of x is 3 and y is 2
FOR VERIFICATION ONLY:3x + y = 11
3(3) + 2 = 11
9 + 2 = 11
11 = 11
2x - y = 4
2(3) - 2 = 4
6 - 2 = 4
4 = 4
Hence, L.H.S = R.H.S
-TheUnknownScientist
How much will it cost to carpet a rectangular room measuring 13.4 m by 24 m if carpeting costs $24.99 per square meter?
Answer:
$8036.784
Step-by-step explanation:
It is easy
The area of carpet is 13.4×24=321.6sq meter
Now, for 1 sq. meter the cost is $24.99
So for 321.6sq.meters, 321.6×24.99
=$8036.784
It will cost amount of $8036.784 to carpet a rectangular room.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
To carpet a rectangular room that measures 13.4 meters by 24 meters, it would area:
13.4 x 24 = 321.6 square meters
Since one square meter, the cost is $24.99
So for 321.6 square meters, 321.6×24.99
= $8036.784
Thus, it will cost amount of $8036.784 to carpet a rectangular room.
Learn more about the Area of the rectangle here:
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please help me with this
Answer:
Option c
Step-by-step explanation:
A system of equations are given to us. And we need to solve them . The given system is
[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]
We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .
[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]
We got two values of x as 0 & 2 . Alternatively substituting these values we have ,
[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]
Thefore the required answer is ,
[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]
Answer:
C
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
these problems been confusing me for a while- if you could please help me with the answers that would be amazing.
Answer:
Angle 1 = 85*
Angle 3 = 85*
Angle 4 = 95*
Angle 5 = 85*
Angle 6 = 95*
Angle 7 = 85*
Angle 8 = 95*
Step-by-step explanation:
Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.
Please help!!
Which expressions are equivalent to 64 Superscript 1? Check all that apply.
A) 4 cubed
B) 3 Superscript 4
C) 8 squared
D) 2 Superscript 8
E) 6 squared
F) 2 Superscript 6
Answer:
I believe it would be C, 8 squared.
Step-by-step explanation:
8 squared means to multiply 8 twice. Not by two, 8 times 8. If you do that, you will get 64. This means that 8 squared is equivalent to 64'1
Answer:
C
Step-by-step explanation:
Please help me in these 2 questions ASAP! Thanks a lot!
Answer:
see explanation
Step-by-step explanation:
12
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then
[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]
13
Using the explicit formula for a geometric sequence
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then
a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576
Someone help and PLZ make sure it’s RIGHT
Answer:
11.6 mi
Step-by-step explanation:
9.3^2+6.9^2 = 134.1
sqrt134.1 = approx 11.6
Answer:
c= 11.6 mi
Step-by-step explanation:
c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi
A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?
Please help!
Answer:
$0.70 per ear of corn
Step-by-step explanation:
Let c = Ear of corn
Let b = pound of bananas
First shopper:
7c + 6b = $5.15
Second Shopper:
4c + 1b = $1.85
Solve one equation for b since you are solving for c:
4c + 1b = $1.85
b = $1.85 - 4c
Substitute into other equation:
7c + 6b = $5.15 <--- b = $1.85 - 4c
7c + 6 ($1.85 - 4c) = $5.15
7c + $11.1 - 24c = $5.15
-17c + $11.1 - $11.1 = $5.15 - $11.1
-17c /-17 = -$11.85 /-17
c = $0.70 per ear of corn
Leave a like and mark brainliest if this helped
PLISSSSSS HELP..................................
Answer:
D
Step-by-step explanation:
7333.33 to the NEAREST TENTH OF A CUBIC METER *will give brainliest* in a quiz hurry pls
Answer:
I think its 7330
25 Points!!!!!!!!!!!!!!!!!!
A polynomial function h(x) has a leading coefficient of 6 and a constant term of -8. Which of
the following are possible roots of h(x)?
I need help PLEASE!!!
Answer:
i hate desmos
Step-by-step explanation:
What is the difference 1 1/2 - 3/4 ?
Answer:
19/4
Step-by-step explanation:
WHAT IS 1+1 pls help
Answer:
2.0
Step-by-step explanation:
How many minutes are in 9 1/4 hours
Answer: 555 minutes
Step-by-step explanation: 60 minutes in an hour, so 9*60 is 540. 1/4 of an hour is 15 minutes (15*4=60) so 540+15=555 minutes
Answer:
Step-by-step explanation:
9.25 * 60 (because there is 60 minutes in one hour)
=555 minutes
Find g(x), where g(x) is the translation 3 units up of f(x)=x^2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
The answer should be in the form of a(x-h)2 + k.
explanation:
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)2
Hope it helps!
The value of function g (x) will be;
⇒ g (x) = (x- 0)² + 3
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The function g(x) is the translation 3 units up of f(x) = x².
Now,
Since, The function is,
⇒ f (x) = x²
And, The function g(x) is the translation 3 units up of f(x) = x².
So, The function g (x) is defined as;
⇒ g (x) = x² + 3
⇒ g (x) = (x- 0)² + 3
Thus, The value of function g (x) will be;
⇒ g (x) = (x- 0)² + 3
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how do you write length is twice the width as an expression.
Answer:
width=x
length =2x.....
Answer:
l = 2w
Step-by-step explanation:
note:
l = lenght
w = width
so lenght is 2 times width is -
l = 2w
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
question 12 is answer B
question 13 is -8x^3
Step-by-step explanation:
exponent rule [tex]\frac{a^m}{a^n} = a^(^m^-^n^)[/tex]
What is the area of the irregular figure?
Answer:
106 m
Step-by-step explanation:
Brₐinliest plz close to leveling up
Answer:
Pretty sure it 13440
Sorry if its wrong but hope this helps.
find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=x^2+4x+6
Answer:
y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2
Step-by-step explanation:
The c value can be used as the y-int.: y=6
vertex form: a(x-h)²+ k
vertex form of this equation:
use completing the square method
y=x²+4x+6
take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value
y= x²+4x + 2² + 6
y= (x - 2)² + 4 + 6
vertex equation:
y= (x - 2)² + 10
vertex: (2, 10)
axis of symmetry:
use the h value: x = 2
Will mark brainliest
Answer:
w= 2ft
Step-by-step explanation:
Length x Width x height
In his case, Kyle:
12=2x3xw
so, 12=6w
divide both sides by six
w=2 ft
In short the answer is 2ft ; )
Help me you will get the brain thing
Which choice is equivalent to the product below for acceptable values of X?
√6x • √x+3
Step-by-step explanation:
its A
6x^2+18x
I hope this helps have a great day
Constant of proportionality from graphs
The following graph shows a proportional relationship.
What is the constant of proportionality between y and X
in the graph?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{y_{2} - y_{1}}{x_{2}- x_{1} } = \frac{2-0}{3-0} = \frac{2}{3}[/tex]
Answer:2/3
Step-by-step explanation:
khan
PLEASE HELP ME THANK YOU IF YOU DO ❤️
Step-by-step explanation:
Here,
we have
the speed = 105 miles in 3 hours
Therefore, 105÷3
= 35
Hence, It's average speed is 35 miles.
if it helps don't forget to like and mark me
There are already 1,200 gallons of water in a swimming pool. If water is filling the pool at a rate of 30 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?
Answer:
n = 30m + 1,200
Step-by-step explanation:
let n = gallons
m = minutes
There are 30 gallons per minute, so 30 is multiplied by the minutes, and because there are already 1,200 gallons of water, you add 1,200
ANSWER PLEASE! 25 POINTS!! Dad says to pick a number from 1 to 100, and the
closest guess to his number can pick the ride.
One son picks 50, and the other son picks 51. If
the daughter picks 52, what is the probability
that she is closest?
.........help.......me.......please
Answer:
x = 17
Step-by-step explanation:
x + 73 = 90
x = 90 - 73
x = 17
A document you fill out when applying for a job. It asks for information about your work history, education and personal references
O resume
OW-4
O application
O 1-9 form
Which set of angle measures could form a triangle?
A. 2º, 27°, and 33°
B. 22°, 90°, and 145º
C. 36°, 42°, 102°
D. 55°, 122°, 159°
Which of the following graphs represents the solution to the inequality (x−2)−2≥−6 ?
A
B
C
D