Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.
Answer:
- 5/4
Step-by-step explanation:
Answer:
x=4 and y=5 commonly notated as (4,5)
Step-by-step explanation:
The equations
Equation 1: 3x+3y=27
Equation 2: x-3y= -11
The second equation looks like it will be the easiest to rearrange.
x-3y = -11
add 3y to each side to get
x = 3y-11
Substitute that in for x in equation 1 so
3x+3y=27
turns into
3(3y-11) +3y =27
multiply out to get
9y-33+3y =27
Condense variables
12y-33=27
add 33 to each side
12y= 60
Divide by 12
y = 5
Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)
Equation 1: 3x+3y=27
Plug in what we got for y
3x+3(5)=27
multiply
3x+15=27
subtract 15 from each side
3x=12
divide by 3
x=4
Equation 2: x-3y = -11
Plug in what we got for y
x-3(5) =-11
Multiply
x-15= -11
Add 15 to each side
x=4
Find the inequality represented by the graph.
Answer:
y > 1/3 x - 3
Step-by-step explanation:
First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).
Find the change of y over the change of x to get the slope of the line.
(-2 - (-3))/(3 - 0) = 1/3
Since the line intercepts the y axis at (0, -3), the equation of the line would be
y = 1/3x - 3
We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents
y > 1/3 x - 3
Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A.
The majority of employees prefer to take a lunch break and leave at the normal time each day.
В.
The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
C.
The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D.
The majority of employees prefer to skip their lunch break and leave a half-hour early.
Answer:
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
explanation:
just took the test on plato
Since the study yields the same results for only five of the weeks. So here the generalization could be made like option c.
What type of generalization made?Since at the closing of the first week the company determined the majority of the employees should prefer the lunch break and also the company repeats the observational study for 10 more weeks.
So here the output is to be inconclusive. Due to this, the generalization cannot be made with respect to the selection of the given options.
hence, the option c is correct.
learn more about study here: https://brainly.com/question/24308401
1/4x -5=3/4x-12 show two different ways to solve
Answer:
In the two different ways we have solved the given equation as
Step-by-step explanation:
Given expression is
To simplify the given expression in two ways:
First way:
Given
Multiplying 3 on both sides
(adding the like terms)
Dividing by 3 on both sides
Therefore the given expression is solved that
Another way:
Given
(adding the like terms)
Therefore the given expression is solved that
In the two different ways we have solved the given equation as
Neil tried to rewrite the expression 5^-6/5^-4
5^-6/5^-4
=
5^-6-(-4) Step 1
5^-2 Step 2
1/5^2 Step 3
Did Neil make a mistake? If so, in which step?
Answer:
0.04
is what the answer should be
Step-by-step explanation:
**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.
Answer:
10 miles
Step-by-step explanation:
Help me ??????????????????
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = - 2x² - 12x - 16
To complete the square the coefficient of the x² term must be 1
Factor out - 2 from - 2x² - 12x
f(x) = - 2(x² + 6x) - 16
add/ subtract ( half the coefficient of the x- term )² to x² + 6x
f(x) = - 2(x² + 2(3)x + 9 - 9 ) - 16
= - 2(x + 3)² + 18 - 16
= - 2(x + 3)² + 2 ; y = 2
I am in need of assistance.
Answer:
A. x = 6.08, x = -0.58
Step-by-step explanation:
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}[/tex]1. Factor the denominator.
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.
[tex]\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]3. Simplify.
[tex]\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]4. Combine like terms.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}[/tex]5. Multiply the right side of the equation by (x-4)/(x-4).
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )[/tex]6. Simplify.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}[/tex]7. "Cancel" out the denominators because they are equivalent.
[tex]2x^2-14x+5=-3x+12[/tex]8. Set the equation equal to 0.
[tex]2x^2-11x-7=0[/tex]Quadratic formula:
[tex]\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]9. Factor using the quadratic formula.
[tex]\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}[/tex]10. Multiply and simplify.
[tex]\displaystyle x = \frac{11 \pm \sqrt{177} }{4}[/tex]11. Plug this into your calculator and solve for x.
[tex]x=6.07603367 \approx 6.08[/tex] [tex]x=-0.57603367 \approx -0.58[/tex]The correct answer is A. x = 6.08, x = -0.58.
Simplify.
4(u-2) - 6
Answer:
The answer is 4u-14.
Have a great rest of your day!
Answer:
4(u-2) - 6
separate bracket
4u-8-6
4u-14
Y = 4( x + 2)^2 - 8
Convert the equation from vertex form to standard form.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
sum of the fractions as a mixed numbers
2 5/6 + 4 3/6 =
What is the value of 6 2/3 + 1 7/12?
Answer:
Im not sure but i think the answer is 7 9/15
Step-by-step explanation:
Answer:
8.25 or 8 1/4
Step-by-step explanation:
what i 5 + 5
ok
ok
ko
Answer:
haha The answer is 10!(::
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
░░░░░▐▀█▀▌░░░░▀█▄░░░
░░░░░▐█▄█▌░░░░░░▀█▄░░
░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░
░░░░▄▄▄██▀▀▀▀░░░░░░░
░░░█▀▄▄▄█░▀▀░░
░░░▌░▄▄▄▐▌▀▀▀░░
▄░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░
░░░░░░░▄▄▐▌▄▄░░░
░░░░░░░▀███▀█░▄░░
Use the distributive property to write the expression as a product
10+70x
Answer:
[tex]10(1+7x)[/tex]
Step-by-step explanation:
Just factored out the 10.
1. What is the Greatest Common Factor of 8 and 36? (1 point)
-2
-4
-6
-8
Answer:
4 is the answer no hate if I'm wrong :)
Answer
GCF of 8 and 36 is 8
CORRECT ANSWER Is 4 SORRY FOR THE MESS UP
calebs gross income last year was $39,000. he deducted $1,200 for charitable donations and tax-free interest payments and was taxed $2,200. what was his tax rate?
a. 19%
b. 12.6%
c. 28.8%
d. 5.8%
Answer:
28.8
Step-by-step explanation:
the power of G00GLE
Solve the equation z3−z2−12z=0.
The solutions are z=
, z=
, and z=
.
.
How do you add fractions and whole numbers together? For example 1/4+2
Answer:
2.25 or 2 1/4
Step-by-step explanation:
Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
5 units
Step-by-step explanation:
Find the length of side BC.
Give your answer to 1 decimal place.
C
14 cm
580
A A
B
P(x)=x4-52+9x+8 Hallar p(-3)
Answer:
P(x)=x⁴+9x-44
Step-by-step explanation:
18=3(3x-6)
4x+6+3=17
Answer:
3(3x -6)=9x-18
4x +6+3=4x +9
Who can help me on my math I’m failing can y’all please help me on some questions.
It’s solving systems of equations
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *
3(2c + 5) = 39
What is the answer ?
Answer:
c=1
Step-by-step explanation:
Simplifying
3 + 2c = 5
Solving
3 + 2c = 5
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2c = 5 + -3
Combine like terms: 3 + -3 = 0
0 + 2c = 5 + -3
2c = 5 + -3
Combine like terms: 5 + -3 = 2
2c = 2
Divide each side by '2'.
c = 1
Simplifying
c = 1
Answer:
= 4
Step-by-step explanation:
Subtract 15 from both sides of the equation
6+15=39
6+15−15=39 − 5
Simplify
6=24
Divide both sides of the equation by the same term
(6=24)/6
Simplify
=4
Which conic section is represented by the following equation?
5x^2 – x + 5y^2 – 3y + 4 = 0
circle
ellipse
parabola
hyperbola
Answer:
3 rd one
Step-by-step explanation:
The conic section represented by the given equation is Circle.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Expanding, we get,
x² - 2hx + h² + y² - 2ky + k² = r²
x² - 2hx + y² - 2ky + (h² + k² - r²) = 0
The given equation is,
5x² – x + 5y² – 3y + 4 = 0
This is same as the standard form of the circle.
Hence the given equation is that of a circle.
Learn more about Circles here :
https://brainly.com/question/13658927
#SPJ2
i really need help please
Answer:
25
Step-by-step explanation:
A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Step-by-step explanation:
(3.1415 * 10^2) area of base
(17) height
volume = area of base * height
volume = 3.1415 * 10^2 * 17
The volume of the cylinder is 533.8 cubic inches to the nearest tenths place
Volume of Cylinder based problem:What information do we have?
Diameter of cylinder = 20 inch
Height of cylinder = 17 inch
Volume of Cylinder = πr²h
Volume of Cylinder = (3.14)(20/2)²(17)
Volume of Cylinder = (3.14)(10)(17)
Find out more information about 'Cylinder'.
https://brainly.com/question/3216899?referrer=searchResults
Jane was playing a game with her sister, Sally. Jane was down by 7. After her next turn, she was down by 3. Which of the following mathematical statements represents this scenario?
A. - 7 + -3 = -10
B.
- 7 + 3 = - 4
C. - 7+ 4 = - 3
D. - 7 + - 4 = - 11
Answer:
A. -7 + -3 = -10
Step-by-step explanation:
Jane went down by 7, so -7. Then, she went down by 3, so -7 + -3.
-7 + -3 = -10
Hope this helped! <)
(Sorry if this is wrong!)
i need help on number 1
If (a+b)(a-b)=21,a+b=7 and a-b=3 what Is the value of a
9514 1404 393
Answer:
5
Step-by-step explanation:
Add the latter two equations and you get ...
(a +b) +(a -b) = (7) +(3)
2a = 10 . . . . . . . . . . . . . . . simplify
a = 5 . . . . . . . divide by 2