Solve the system of equations – 2x + y = –8 and 4x– 6y = –24 by combining
the equations.
Answer:
4
Step-by-step explanation:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
in the diagram find angle mQR
Answer:
[tex]mSQR=1/2m~SR\\[/tex]
[tex]75=1/2m~SR[/tex]
[tex]mSR=150[/tex]
[tex]360=SR+QR+QS[/tex]
[tex]mQR=360-150-133[/tex]
[tex]mQR=77[/tex]
[tex]So, B ~ is ~ your~ answer[/tex]
-----------------------
hope it helps...
have a nice day!
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd
Which?
A
B
C
D
Help me for 20 points!!!
A person places $81200 in an investment account earning an annual rate of 3.6%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years.
Answer:
V=129659.9491≈129659.95
Step-by-step explanation:
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
Learn more about domain at:
https://brainly.com/question/1770447
#SPJ1
The width of a rectangle is represented by 2x and the length is represented by x2-x+ 3. Which expression represents the area of the rectangle?
Answer:
2x^3-2x^2+6x
Step-by-step explanation:
The area of a rectangle is
A = l*w
A = ( x^2 -x+3) * (2x)
Multiply
A = x^2 *2x -x*2x +3 *2x
A = 2x^3-2x^2+6x
The blueprint for the pelham's living room has a width of 12 inches using the scale of 2 inches = 7 feet.
The family wants to use a scale of 1 inch = 6 feet. What is the width of the living room on the new blueprint?
Answer:
The new blueprint's width will be 7 inches.
Explaination:
Find the width of the actual roomCreate a proportion: 2in:7ft
Divide 12 by 2 and multiply by 7 to find the real width: 6•7=42
Find new widthDivide actual width by 6 and multiply by 1 to find the new scale: (42/6) •1 = 7
Solve for y.
pls help
Answer:
y= -6
Step-by-step explanation:
PLz solve quick i need help asap. : )
Answer:
20 degrees
Step-by-step explanation:
the two angles must be congruent
4x - 23 = 2x + 17
2x = 40
x = 20
I need help with this question. Whoever helps me I will mark branliest! <3
Answer: A, B, C
Step-by-step explanation:
AC is half of AB, so AB = 2AC
1/2 of AB will be AC, and AB
AC = CB
100 points my guys
what is the defenition ofmean , medium and mode
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
Select all expressions that are
equivalent to 8x + 2 – (4x — 2)
(Select all that apply.)
8x + - 4x + 2 + 2
8x + 2 – 4x – 2
8x - 4x + 2 – 2
8x + 2 + - 4x - -2
8x + 4
Answer:
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Step-by-step explanation:
Solving for the above expression
8x + 2 – (4x — 2)
Step 1
Expand the brackets
8x + 2 - 4x + 2
Step 2
Collect like terms
8x - 4x + 2 + 2
Step 3
4x + 4
Therefore, the expressions that are
equivalent to 8x + 2 – (4x — 2)
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Nancy made a scatter plot of how much money she had left at the end of each day her vacation which table represents the data in her scatter plot
Answer:
d
Step-by-step explanation:
Which of the following is not a disadvantage to cash advances on a credit card?
a.
Cash advances are similar to loans in that they need to be paid back with interest.
b.
Cash advances require a lot of paperwork and are generally difficult to get.
c.
Cash advances are often the last thing to be paid when paying off your credit card.
d.
Cash advances often come with an interest rate much higher than your credit card.
(its not a)
Answer:
B
Step-by-step explanation:
it is b because I got it right on Edu and it was on quiz let
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
Is this triangle similar? Why?
Answer:
IT'S NOT THE SAME BECAUSE THIS TWO TRIANGLE HAS DIFFERENT MEASUREMENT
NEED HELP! Will give brainiest!! And thanks if you even answer one of them
Answer:
In the questions you are asked to evaluate by substituting the variables to the given number.
PLZ EXCUSE MY HANDWRITING.
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
Help,anyone can help me do quetion.
Answer:
C2- 65° C3- 84°
Step-by-step explanation:
for C2:
the 2 parallel lines and the one cutting fully through form a transversal.
One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.
This means that the angle at the top left (still within the triangle) should be 50° (180-121).
The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.
Vertically opposite angles have the same value, meaning the second angle is 65°.
In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.
For C3-
Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).
With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.
For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.
To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.
** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!
A rhombus is not a A polygon B. Parallelogram C. Trapezoid
Answer:
Hi, there your answer is polygon
A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. A rhombus has 4 sides.
Hope this helps:) Have a great day!
Step-by-step explanation:
What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
I need help Please and thank you
Answer:
Brett baseball went higher
Step-by-step explanation:
his maximum is a vertical that exceeds 80
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
Answer:
B
Step-by-step explanation:
y=e^x+3
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
in the given parallelogram ABCD, find the value of x and y
Answer:
see explanation
Step-by-step explanation:
(a)
The consecutive angles are supplementary, sum to 180° , then
3y + 2y - 5 = 180
5y - 5 = 180 ( add 5 to both sides )
5y = 185 ( divide both sides by 5 )
y = 37
Then ∠ A = 3y = 3 × 37 = 111
The opposite angles are congruent , then
3x + 3 = 111 ( subtract 3 from both sides )
3x = 108 ( divide both sides by 3 )
x = 36
---------------------------------------------------------------------
(b)
The diagonals bisect each other , so
x + 8 = 16 - x ( add x to both sides )
2x + 8 = 16 ( subtract 8 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
and
5y + 4 = 2y + 13 ( subtract 2y from both sides )
3y + 4 = 13 ( subtract 4 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
PLEASE HELP. !!!!!!!
Can someone solve this and show it step by step
−5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)
Step-by-step explanation:
-5x + 2(x -4 -2x) > 5 - 2x -2
-5x + 2x -8 -4x > 3 - 2x
-7x -8 > 3 - 2x
-5x > 11
x < 11:-5
x < -2.2
Answer:
x ≤ 3
Step-by-step explanation: