Answer:
The solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]2x\:+\:2y\:+z\:=\:7[/tex]
[tex]-x-\:y\:+z\:=\:-5[/tex]
[tex]x+3y-4z=12[/tex]
solving the system of the equations by the elimination method
[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]-2x-2y+2z=-10[/tex]
[tex]+[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]3z=-3[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]2x+6y-8z=24[/tex]
[tex]-[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]4y-9z=17[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]
Rearranging the equations
[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]
solve [tex]3z=-3[/tex] for z:
[tex]z=-1[/tex]
[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]
solve [tex]4y-9\left(-1\right)=17[/tex] for y:
[tex]4y-9\left(-1\right)=17[/tex]
[tex]4y+9=17[/tex]
[tex]4y=8[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]
solve [tex]2x+2\cdot \:2-1=7[/tex] for x:
[tex]2x+2\cdot \:2-1=7[/tex]
[tex]2x+3=7[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Therefore, the solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
what is 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
hope this helped ^^
Find the slope given the two points:
(3, 70) , (15, 90)
Answer:
x= 5/3
Step-by-step explanation:
12 IF APOR is similar to AXYZ, which of the following statements must be true?
Answer:
F
Step-by-step explanation:
There's no Q in APOR or AXYZ
what is 55 - 11u =55
-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3
Answer:
-1.48148148
Step-by-step explanation:
-7 x -8 = 56
-7 x -4a = 28a
25-56=-31
27a/-31
a=-1.48148148
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}
Which one is a function?
And which is is not Non-function?
PLZ ANSWER PLZ 15 POINTS JUST PLZ
A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?
Answer:
the mean of which the team won is 8.75
The mean of which the team lost is 11.5
Step-by-step explanation:
add all the numbers of which the team won by then divide the sum by the number of numbers there are
example:
7+8+11+9=35/4=8.75
the first blank is 25 the second blank is 10 what is the slope
Answer:
5/2
Step-by-step explanation:
25 and 10 so 25/10 or 5/2 or 2 1/2
PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)
Answer:X=3
y= -4
Step-by-step explanation:
If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.
so solving for x, 4x=12--> x=3, since y=0 in this scenario.
Solving for y, x=0, so -3y=12--> y=(-4)
9514 1404 393
Answer:
see below for a table
Step-by-step explanation:
You can easily identify intercept points by solving for one variable when the other is zero.
x-intercept (y=0)
4x = 12
x = 12/4 = 3
y-intercept (x=0)
-3y = 12
y = 12/-3 = -4
So, the coordinate pairs of these points are ...
(3, 0) and (0, -4)
__
If you solve for y, you get ...
-3y = 12 -4x
y = (4/3)x -4 . . . . . divide by -3
This suggests that x being a multiple of 3 will be useful for finding integer values of y.
We already have points for x=0 and x=3. We can add points for x=6 and x=-3.
y = 4/3(6) -4 = 4
y = 4/3(-3) -4 = -8
So, the additional points are ...
(6, 4) and (-3, -8)
The sum of two numbers is 46. The difference of those numbers is 22. What are the two numbers?
Answer:
34 and 12
Step-by-step explanation:
so two numbers are x and x-22
then x+x-22=46
2x=68
x=34
x-22 = 12
The numbers are 34 and 12, which gives sum 46 and difference 22.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Let the two numbers are a and b.
According to given conditions,
The sum of a and b is 46,
And the difference of a and b is 22.
Implies that,
a + b = 46 (1)
a - b = 22 (2)
Add equation (1) and (2),
2a = 68
a = 34
Substitute the value of a in equation 1 to get the value of b,
34 + b = 46
b = 46 - 34
b = 12
The required numbers are 34 and 12.
To know more about Algebra on:
https://brainly.com/question/24875240
#SPJ2
p+1/p=7 then p^3+1/p^3
1.If a number a is always less than another number b, which of the following expressions expresses their relationship?
A.a≤b
B.a≥b
C.a>b
D.a 0
D.x 9
Which of the following sentences is the word equivalent of the expression above?
A.The product between 3 and a number is no less than 9.
B.The product between 3 and a number is greater than 9.
C.The product between 3 and a number is no more than 9.
D.The product between 3 and a number is less than 9.
Answer:
Let's define the symbols:
x < y
means that x is strictly less than y.
x ≤ y
means that x is less than or equal to y.
(both of these signs can be in the other direction, take that in mind).
A) " a is always less than another number b"
Here we should have:
a < b.
a is always less than the other number b.
This is not in the options, so i suppose that there is a mistake in the question.
B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.
a) "The product between 3 and a number is no less than 9"
3*n ≥ 9.
b) "The product between 3 and a number is greater than 9."
3*n > 9
c) "The product between 3 and a number is no more than 9"
3*n ≤ 9
d) "The product between 3 and a number is less than 9"
3*n < 9
the time, t, in seconds, is required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given this equation
Answer:
C. [tex] d = \frac{at^2}{2} [/tex]
Step-by-step explanation:
Given:
[tex] t = \sqrt{\frac{2d}{a}} [/tex]
Required:
Make d the subject of the formula.
SOLUTION:
[tex] t = \sqrt{\frac{2d}{a}} [/tex]
Square both sides
[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]
[tex] t^2 = \frac{2d}{a} [/tex]
Multiply both sides by a
[tex] a*t^2 = \frac{2d}{a}*a [/tex]
[tex] at^2 = 2d [/tex]
Divide both sides by 2
[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]
[tex] \frac{at^2}{2} = d [/tex]
[tex] d = \frac{at^2}{2} [/tex]
I will mark brainly if anyone can answer this
-2-4(6p-5)
-5(v-6)+10v
and 25 pts
Answer:
Ich weiß nicht =13
die Antwort -2 -4 (6p-5)
Step-by-step explanation:
help me please.
[tex]help \: me[/tex]
The solution is where the two lines cross each other:
(-1,3) and (2,6)
The answer is B.
im bad at math so help ill mark the first person brainliest ty
Answer:
A. -x² + 2x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = 2x + 1
g(x) = x² - 7
(f - g)(x) is f(x) - g(x)
Step 2: Solve
Substitute: (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1: (f - g)(x) = 2x + 1 - x² + 7Combine like terms: (f - g)(x) = -x² + 2x + 8Solve for r: 7r+ 30 = -65
Answer:
R= - 95/7
Step-by-step explanation:
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
(0, 1)
(1, 1)
(2, 1)
Answer:
(1,1)
Step-by-step explanation:
z = 24a - 2b
solve for a
Answer:
a= (Z + 2b)/24
Step-by-step explanation:
given:
Z = 24a - 2b
to solve for a, we will try to move "a" to one side of the equation and all other terms to the other side:
Z = 24a - 2b (add 2b to both sides)
Z + 2b = 24a -2b +2b
Z + 2b = 24a (switch sides)
24a = Z + 2b (divide both sides by 24)
a/24 = (Z + 2b)/24
a= (Z + 2b)/24
what is 9 time 64 what does it equal to
Answer:
It's 576 if you mean 64 times 9!
Step-by-step explanation:
32a + 28 = 0
(Factor completely.)
Answer: 0.875
Step-by-step explanation:
Which of the following is equivalent to (5x^2)(4x^3)
Answer:
20x^5
Step-by-step explanation:
You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5
1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'
Answer:
Step-by-step explanation:
Rule for the dilation of a point by a scale factor 'k',
(x, y) → (kx, ky)
If we impose this rule in this problem,
k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]
1). If k = 3
Therefore, Distance of A' from P = 3(Distance of A from P)
And point A' will be on the third circle.
2). If k = 2
Distance of B' from P = 2(Distance of B from P)
Since, B is on circle 2, B' will be on circle 4.
Now we can plot these points A' and B' on the graph.
After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.
1)
Given :
Dilate A using P as the center of dilation and a scale factor of 3.
Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units
2)
Given :
Dilate Busing P as the center of dilation and a scale factor of 2.
Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units
For more information, refer to the link given below:
https://brainly.com/question/2856466
HELP PLEASE ILL GIVE BRAINLIEST!!!!!!!!!
Answer:
the first questions answer is yes the seconds is no
HAVE A NICE DAY!!!
Which property should be used next in this solution process?
3x + 2 + 3 = 7(x - 1) – 4
3x + 5 = 7(x - 1) – 4
A. Commutative Property of Addition
B. Identity Property of Multiplication
C. Associative Property of Multiplication
D.
Distributive Property
Answer:
niwebfasfbjsdfb
Step-by-step explanation:
jsdfhsdbfjhadsjbdsfhb
Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!
Answer:
6A7C8B
Step-by-step explanation:
Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.
I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
5/6 multiplied by 1/5
Show you work please
Answer:
The answer is 5/30
Step-by-step explanation:
The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30
31 = - (1 +6p ) +4(p + 6 )
Answer:
p = -4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
p = -4
Step-by-step explanation:
I'm not going to explain each step, just try to follow along.
31 = -(1+6p)+4(p+6)
31 = -1-6p+4p+24
7 = -1-2p
8 = -2p
p = -4
I hope this helps!