Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
Bottles of water sell for $1.50 each.
Graph the relationship between the number of bottles of water sold and the total cost.
test the following statements to see if it’s reversible if so choose the true biconditional
Answer:
the statement is not reversible
Step-by-step explanation:
Hi there!
We are given the statement "if x=3, then x²=9"
In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9
Reversing the statement would make it so that q is first, then p is after.
In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"
This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways
So we'll need to test if the following statement "if x²=9, then x=3" is true
If you subtract 9 from both sides, x²=9 becomes this equation:
x²-9=0
Using the square of differences formula, where x is a and 3 (square root of 9) is b:
(x-3)(x+3)=0
Now using zero product property:
x-3=0
Add 3 to both sides
x=3
AND:
x+3=0
Subtract 3 from both sides
x=-3
We see that the answers from this equation are x=3 and x=-3.
*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:
If x=3:
(3)²=9
(3)(3)=9
9=9
If x=-3:
(-3)²=9
(-3)(-3)=9
9=9
Hence, the statement doesn't work in the converse
The option "the statement is not reversible" is not the answer.
Hope this helps!
Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)
Step-by-step explanation:
expand and multiply the terms
Whoever answers first gets brainliest, 5 stars, and a thanks. Pls help asap
Answer: 14.5185185185
11 1/3 + 10 5/9 - 7 10/27 = 392/27 = 14 14/27 ≅ 14.5185185
help me with this please thank you mate
[tex] \: \: \: \: \: [/tex]
[tex](x,y) = ( - 8,0)[/tex]
refer to the attachmenthope it helps[tex] \: \: \: \: [/tex]
Question 11 options:
The area of a rectangle is 80 cm2.
The length is x – 8, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
Find the value of x so that the ratios are equivalent.
x to 0.25 and 6 to 1.5
What does x =
The value of x from the proportion relation is x = 1
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides
Given data ,
Let the proportion equation be represented as A
Now , the equation will be
Substituting the values in the equation , we get
x / 0.25 = 6 / 1.5
On simplifying the equation , we get
Multiply by 0.25 on both sides of the equation , we get
x = ( 6 x 0.25 ) / 1.5
On further simplification , we get
x = 6/6
x = 1
Therefore , the value of x = 1
Hence , the equation is x = 1
To learn more about proportion click :
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what is the value of x+3x+11X
Step-1 : Multiply the coefficient of the first term by the constant 3 • -20 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
3x2 - 15x + 4x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-5)
Add up the last 2 terms, pulling out common factors :
4 • (x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (x-5)
Which is the desired factorization
Solve the question will mark branliest and with an explantion
Answer:
The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)
8.
What is the distance between the two points?
(-5,7)
(7,2)
Answer:
13
Step-by-step explanation:
Use the distance formula to solve for the distance between two points.
[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2[/tex]
Plug in your coordinate points.
[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]
[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]
[tex]d=\sqrt{144 + 25[/tex]
[tex]d=\sqrt{169[/tex]
d= 13
help me with this please
Answer:
what do you need help with
SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):
Answer:
you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:
11/4 x 7/3 as a fraction in simplest form
Answer:
77/12
Step-by-step explanation:
11×7/ 4×3
77/4×3
=77/12
plz help will mark as brainliest
Answer:
45⁰
according to question the answers is given here in the image / attachment . please follow these steps.
this is my attachment answer hope it's helpful to you
Work out the surface of the solid cuboid.
8m
6m
2m
The diagram is not drawn to scale
Answer:
8 * 6 * 2 = 96
Step-by-step explanation:
It's a multiplication problem. 8 * 6 = 48 * 2 = 96
The rectangular prism is 96m.
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
Read more about equations at:
https://brainly.com/question/2972832
What are the two pieces of information needed to write an equation, in slope-intercept
form, to model any linear relationship?
Answer:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Step-by-step explanation:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Answer:
The first piece of information you need is the slope number and the second piece of information you need is the y intercept
What is the inequality shown?
can someone help???
Answer:
dilation by a factor of 1/3 about the origin
Step-by-step explanation:
Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...
dilation by a factor of 1/3 about the origin
helppppppppppppppppppppppppppppppppppppppppp
Answer:
if $15.98----> 2kg
$x --------> 7kg
cross multiply
$x= (15.98 x 7)/2
x = $55.93
Please answer ASAP!! And not just for points..thank ya:)
Answer:
It should be 24
Step-by-step explanation:
Sorry if this is wrong
Step-by-step explanation:
Separate it into 2 figures.
the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.
3 × 8 = 24
5 × 4 = 20
20 + 24 = 44
The area of the figure is 44 square meters.
-1.3(x+3)-12.4=-24.1
Answer:
6.02
Step-by-step explanation:
Answer:
x=-12
Step-by-step explanation
1.3x+3.9-12.4=-24.1
1.3x+3.9=-11.7
1.3x=-15.6
x=-12
At Mitchell's Arcade, 5/6 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Mitchell's Arcade are motorcycle-racing games?
Answer:
3 out of 5
Step-by-step explanation:
it says it in the question so say the max games is 6 one part 1 less as max witch is the motorcycle-racing games if it only has 3 then its really just 3 out of 5 so really that should be it. im not 100% sure so if im wrong please tell meme
Terry buys an orange for 18p. He pays with a £1 coin. How much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
1.) What three ratios are equivalent to 3/9? *
O 1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
05/12, 9/12, 3/12
Answer:
B
Step-by-step explanation:
3/9 is the same as 1/3.
It can't be D since 5/12 isn't 1/3.
It can't be A since 2/3 and 3/3 don't equal 1/3.
It can't be C since everything listed is equal to 2/3.
The surface area of a cylinder is 1 m2. What could its radius and its height be?
Step-by-step explanation:
2.5m is the answer god bless you make me bfai list
The required height would be 2 meters in the given cylinder.
What is the surface area of a cylinder?A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.
The surface area of the cylinder is: A = 2πr(r+h)
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
The surface area of a cylinder is 50.24 m² and its radius is 2 m.
⇒ A = 2πr(r+h)
Here A = 50.24 m² and r = 2 m
⇒ 50.24 = 2(3.14)(2)(2+h)
⇒ 50.24 = (12.56)(2+h)
⇒ 50.24 /(12.56) = (2+h)
⇒ 4 - 2 = h
Therefore, the required height would be 2 meters in the given cylinder.
Learn more about the surface area of a cylinder here :
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The question seems to be incomplete the correct question would be
The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?
Determine if the table represents a linear function, quadratic function, or exponential function.
That would be linear because its going at a constant rate of change
Which equation could best be used to determine the value
of f(3) for the function f(x) = 2x + 4?
1) f(3) = 23+ 4
2) f(3) = 2(3)+4
3) f(3) = 3(2x) + 4
4) f(3) = 3(2x + 4)
Answer:
2) f(3) = 2(3)+4
Step-by-step explanation:
Without solving the system of equations how can you
determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7
Answer:
Step-by-step explanation:
First Pair.
If you divide the top equation by 3 you get
x + 2y = 12
x + y = 7 From that I get that y = 5
Second pair
Do the same thing to the top equation only this time divide by 6
x + 2y = 4
x + y = 7
If you subtract again you get y = - 3
what is ?? 6x93/5=to
Answer:
111.6
Step-by-step explanation:
6x93/5=111.6