Answer:
x= 1/2
and y=3
Step-by-step explanation:
Let's solve your system by substitution.
y=10x−2;2x+y=4
Step: Solvey=10x−2for y:
y=10x−2
Step: Substitute10x−2foryin2x+y=4:
2x+y=4
2x+10x−2=4
12x−2=4(Simplify both sides of the equation)
12x−2+2=4+2(Add 2 to both sides)
12x=6
12x
12
=
6
12
(Divide both sides by 12)
x=
1
2
Step: Substitute
1
2
forxiny=10x−2:
y=10x−2
y=10(
1
2
)−2
y=3(Simplify both sides of the equation)
Answer:
x= 1 /2
and y
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 = 7. Describe what this statement means about the number of solutions and about the graph of the system. .
Answer:
System of equations are independent, if 2nd equation is not multiplication of firstequation by some number . ... Simplify the 2nd equation: ... y - 2x = -7 ... If you solve the equationsalgebraically and you get a solution such as 5=5, then ... If you use either method and end up with astatement that's always true i hope this helps
Step-by-step explanation:
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Step-by-step explanation:
Determine the intercepts of the line.
y = -2x-21
X-intercept:
y-intercept:
15 POINTS AND BRAINLIEST What is the value of x + y?
A system of equations is shown.
2x + 2y = 24
x = 3y
Answer:
(9,3)
Step-by-step explanation:
1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
You make 12 equal payments. You pay a total of $2100. How much is each payment?
PLZZZZZZ BRAINLIESTTTTT
т.N лежи на отсечката AB, така, че AN:NB=7:4, AN=22,4dm. Дължината на отсечката AB
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%
HELPPPPPPPPPPPPPPPPPP
Answer:
23 or 22....
Step-by-step explanation:
because he got 3 questions wrong sooooo yeah... ya✋
Answer:
The student had a total of 25 questions on his test.
Step-by-step explanation:
Given that:
Number of questions answered correctly in the test = 20
Percentage scored in the test = 80%
Let,
x be the total number of questions on test.
We know that 80% of the test is 20 questions, therefore,
80% of x = 20
[tex]\frac{80}{100}x=20\\0.8x=20[/tex]
Dividing both sides by 0.8
[tex]\frac{0.8x}{0.8}=\frac{20}{0.8}\\x=25[/tex]
Hence,
The student had a total of 25 questions on his test.
A circular path runs around a circular plot. If the circumference of the plot and the path are 44m and 88m,respectively, find the width of the path
Answer:
7 meters
Step-by-step explanation:
circumference of path=88m
⇒2πr=88
⇒2.
7
22
.r=88
⇒r=14m
circumference of plot=44m
⇒2πr
′
=44
⇒2.
7
22
.r
′
=44
⇒r
′
=7m
therefore width of path=r−r
′
=14−7
=7m
(12x³+x²)-(18x³-3²+6)
1. Find the length of the rectangle below.
Answer:
Given - A rectangle whose area is 1 2/5 m^2
- length is 4/5 m
To find - Length of rectangle
Solution -
1 2/5 = 7/5 m^2
Let the length be X
Area of rectangle= Length × Breadth
7/5 = X × 4/5
7/5 × 5/4 = X
7/4 = X
Length of rectangle= 7/4
Answer:
ANSWER IS 15x20 Please make meh brainlist
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
Is this correct? I need help
What is -2(3x - 9) + 5x = -10
Answer:
x=28
Step-by-step explanation:
-2(3x-9)+5x =-10
now we times -2 to to the inside of the parenthese
giving us
-6x+18 +5x= -10
add like terms
add -6x and 5x
-1x+18=-10
now we add like terms of the constants
minus 18 on both sides
-1x=-28
now divide by -1
x = 28
Answer:
x = 28
Step-by-step explanation:
First, remove the parentheses by distributing -2.
-6x + 18 + 5x = 10
Next, collect the like terms.
-x + 18 = -10
Next, move the constant to the right-hand side and change its sign.
-x = -10 - 18
Next, calculate the difference
-x = -28
Lastly, change the signs on both sides of the equation.
x = 28
These are the steps to answer this equation.
What is the least common multiple of 2x^2 and 4x+12
Answer:
4 x ^2 ( x + 3 )
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
What number is one hundred less than 421
Answer:
321 make me brainliest
Step-by-step explanation:
The number is 321.
Given that;
The written expression is,
''number is one hundred less than 421''
We have to find the number.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The written expression is,
''number is one hundred less than 421''
The mathematical expression is written as;
421 - 100 = 321
Hence, The number is 321.
Learn more about the mathematical expression visit:
https://brainly.com/question/17166863
#SPJ2
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
Use____to isolate the variable
Answer:
inverse operation(s)
Step-by-step explanation:
Can somebody help me??
Answer:
65 miles
Step-by-step explanation:
Answer:
65MPH (or 65 miles)
Step-by-step explanation:
I used a proportion:
487.5MI/7.5HR = ?MI/1HR
(mi/hr = mi/hr)
cross multiply:
487.5 x 1 = 487.5
then divide:
487.5 divided by 7.5 =
65 miles
Hope this helps!
Bri <3
what is 1.117468769rounded two decimal places
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
What is the slope of the line that passes through the points
Answer:
The slope is -2
Step-by-step explanation:
(−4,7);(2,−5)
(x1,y1)=(−4,7)
(x2,y2)=(2,−5)
m= y2−y1 /x2−x1
−5−7 /2−4
−12 /6
−2
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
(-6+51)+(2-5i)-(1+61)
Answer:
-15 - 5 i
Step-by-step explanation:
Answer:
−15 − 5i
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
7b + 15 +4 it says write two equivalent expressions.Help
Answer:
1. 4b+3b+15+4
2. 7b+19
Step-by-step explanation:
Both are equivalent expressions :))
What is the distance between points A and B? O1/3 O1/2 O 1 1/3 O1 1/2
Need help for this assignment
the answer is 124
Step-by-step explanation:
when calculating the angles of a triangle, all angles need to add up to 180 total. So take 180 and substract 28 from it twice to find the remainder.
Answer:
i think its 58?
Step-by-step explanation:
write an equation for the nth term of the arithmetic sequence -5 -4 -3 -2