Answer:
Z = - 2, Y = 0, X = 0
Step-by-step explanation:
2X – Y + Z = – 2
6X + 3Y – 4Z = 8
– 3X + 2Y +3Z = – 6
isolate "X" in the first equation
2X - Y + Z = - 2 => isolate "2X"
2X = - 2 - Z + Y => divide either side by 2
X = - 1 - Z/2 + Y/2
substitute this value of X in the second two equations (applying the substitution method here)
6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,
6Y - 7Z - 6 = 8
- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,
Y + 9Z + 6/2 = - 6
isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)
6Y - 7Z - 6 = 8 => isolate 6Y
6Y = 14 + 7Z => divide either side by 6
Y = 7Z + 14/6 => substitute in second equation
7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z
61Z + 50/12 = - 6, Z = - 2
substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"
Y = (7(- 2) + 14)/6 = 0 / 6
= 0
X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0
= - 1 + 1 + 0 = 0
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
i think its b is it isn't dont beat me up
What is 2x+1+7x=-8? Could you show work, please?
Answer:
Step-by-step explanation:
2x + 1 + 7x= -8
~2x + 7x = 9x
9x + 1 = -8
move 1 to the other side
9x = -1 -8
9x = -9
divide
X = -1
Answer:
Step-by-step explanation:
Simplifying
2x + -1 = 7x + -8
Reorder the terms:
-1 + 2x = 7x + -8
Reorder the terms:
-1 + 2x = -8 + 7x
Solving
-1 + 2x = -8 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-1 + 2x + -7x = -8 + 7x + -7x
Combine like terms: 2x + -7x = -5x
-1 + -5x = -8 + 7x + -7x
Combine like terms: 7x + -7x = 0
-1 + -5x = -8 + 0
-1 + -5x = -8
Add '1' to each side of the equation.
-1 + 1 + -5x = -8 + 1
Combine like terms: -1 + 1 = 0
0 + -5x = -8 + 1
-5x = -8 + 1
Combine like terms: -8 + 1 = -7
-5x = -7
Divide each side by '-5'.
x = 1.4
Simplifying
x = 1.4
odd number have more than exactly by 2 true or false
how do you do trigonometery with 2 angles and a length
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles, with these functions one can answer virtually all questions about.
Answer:
(a/sinA)＝(b/sinB)＝(c/sinC)
Step-by-step explanation:
a and b and c is the length
A,B,Cis angle.
This is a formula.
E.g. the angle opposite of the length a is A.
Which is reflex angle
a.180° b.280° c.270°
Answer:
b)280° and c) 270°
A reflex angle is an angle which is more than 180° but less than 360°
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Step-by-step explanation:
180 is reflex angle.
hope it's helpful
a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area
Answer:
2800
Step-by-step explanation:
solution:
here,
length=40 meter
Breadth=35 meter
height=2meter
area=?
we have,
A=l×b×h
=40×35×2
=2800 ans.
Kayla worked 3x+6 hours this week. She earns x-2 dollars per hour.
Use the drop down below to create a polynomial that represents the amount Kayla earned this week.
the first drop answer choices are
A)2x
B)2x²
C)3x
D)3x²
E)4x
F)4x²
the second drop menu answer choice
A)+
B)-
the third drop menu answer choice
A)4
B)8
9)12
Answer:
3x²-12Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
3x²
-
12
Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
Erica plays 6 songs in 1/4 of an hour. How many would she play in 1 hour?
Answer:
24 songs
Step-by-step explanation:
4 × 6 = 24 songsI hope this helps!
helpppp please i need help reallllly fast I just need someone to check my answers and if they're wrong please tell me what it is
Answer: You're right. You've figured it out correctly!
Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?
CAN SOMEONE PLEASE HELP ME PLEASE
9514 1404 393
Answer:
d. z = -48
Step-by-step explanation:
When j ║ k, corresponding angles are congruent, so ...
x = 4z +3y
57 = y + z
and the same-side interior angles are supplementary:
57 +x = 180 ⇒ x = 123
__
This lets us write two equations in y and z:
3y +4z = 123
y +z = 57
Using the second equation to write an expression for y, we have ...
y = 57 -z
Substituting this into the first equation gives ...
3(57 -z) +4z = 123
z +171 = 123
z = -48 . . . . . . . subtract 171
The value of z that makes j║k is -48.
___
The corresponding value of y is 105.
which is a y intercept of the graphed function
Answer:
-9
Step-by-step explanation: It crosses the y axis. A y intercept is in when the x axis is 0. So the point would be (0,-9).
The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet.
A) -19 1/2 feet
B) -12 feet
C) 8 feet
D) 19 1/2 feet
please explane how??
Answer:
The correct answer is A) -19 1/2
Step-by-step explanation:
BOXES Simon will make a box without a top by cutting out corners of equal size from a 22 inch by 15 inch sheet of cardboard and folding up the sides. Which of the following is closest to the greatest possible volume of the box?
a. 330 in3
b. 144 in3
c. 432 in3
d. 1296 in3
Answer:
Volume of box is [tex]432 in^3[/tex]
Step-by-step explanation:
Let x be the side of square corner
Length of box after cutting corners =22-2x
Breadth of box after cutting corners =15-2x
Height =x
Volume of box = (22-2x)(15-2x)x
Volume of box =[tex]4x^3-74x^2+330x[/tex]
Differentiate w.r.t x
[tex]\frac{dV}{dx}=12x^2-148x+330[/tex]
Substitute derivative =0
[tex]12x^2-148x+330=0\\x=\frac{37-\sqrt{379}}{6},\frac{37+\sqrt{379}}{6}\\\frac{d^2V}{dx^2}=24x-148[/tex]
at [tex]x=\frac{37-\sqrt{379}}{6}[/tex]
[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37-\sqrt{379}}{6} )-148=-77.87 < 0[/tex] hence maximum
at [tex]x=\frac{37+\sqrt{379}}{6}[/tex]
[tex]\frac{d^2V}{dx^2}=24x-148=24(\frac{37+\sqrt{379}}{6} )-148=77.87>0[/tex] hence minimum
So,Volume of box =[tex]4x^3-74x^2+330x=4(\frac{37-\sqrt{379}}{6} )^3-74(\frac{37-\sqrt{379}}{6} )^2+330(\frac{37-\sqrt{379}}{6} )=432.23 in^3[/tex]
Hence Volume of box is [tex]432 in^3[/tex]
. Your teacher recently found an old Nintendo in a thrift store. Use the formula to predict
the value of the Nintendo in 2020? (Remember, x is the years after 1986, and y is the
value, in $.) Do you think this is a realistic prediction of the value of that Nintendo?
Answer:
I'm love this question... I'm a huge gamer myself.
Anyway.. I would say it depends on the year.
How are linear functions used in everyday life?
Answer:
Step-by-step explanation:
Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.
Answer:
They don't bro
Step-by-step explanation:They should teach us how to do stuff that will actually help us in real world situations
A shop sells matching hats and scarves.The scarves cost 1.5 times as much as the hats.Write two patterns that could represent the cost of 1234 and 5 hats and scarves.List the first 5terms of each pattern.Then explain how to find the cost of 6hats and scarves,using the patterns you wrote u
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Let Cost of hats = h
Cost of scarves = 1.5h
Hence if hats cost $h, then the cost of scarves will be; (1.5 * h)
Using tables :
If the cost of an hat = $2
Hence,
N _____cost of hat(h) ____cost of scarve
1_______2*1 = 2 _________1.5(2) = 3
2______2 *2 = 4 _________1.5(4) = 6
3______2*3 = 6 _________1.5(6) = 9
4 ______ 2*4 = 8 ________1.5(8) = 12
5 ______2 *5=10 ________1.5(10) = 15
Cost of 6 hats and scarve:
Cost of hat:
2 * 6 = $12
1.5h = 1.5(12) = $18
7x – 5(х + 8) = 5х – 28
Step-by-step PLEASE!!!!
Answer:
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
7x – 5(х + 8) = 5х – 28
7x - 5x + (-40) = 5x - 28
+ 5x + 5x
7x + (-40) = 10x - 28
- 7x - 7x
-40 = 3x - 28
+ 28 + 28
-12 = 3x
Then divide.
-4
is 55 810 a multiple of 10
Answer:
Yes
Step-by-step explanation:
Any number that ends with a zero is a multiple of 10
Which theorem or postulate justifies this statement?
∠8≅∠10
alternate interior angles theorem
corresponding angles postulate
alternate exterior angles theorem
vertical angles theorem
linear pair postulate
The figure shows parallel line segments G N and F H rising slowly from left to right with segment G N above segment F H. Line segment K L falls steeply from left to right, first intersecting segment G N and then segment F H. Line segment M J rises steeply from left to right, first intersecting both segment F H and segment K L at their point of intersection and then intersecting segment G N. The 4 angles at the intersection of segments G N and K L are numbered from 1 through 4 in a clockwise direction with angle 1 above segment G N and to the left of segment K L. The 4 angles at the intersection of segments G N and J M are numbered from 5 through 8 in a clockwise direction with angle 5 above segment G N and to the left of segment J M. The 6 angles at the intersection of segments F H, K L, and J M are numbered from 9 through 14 in a clockwise direction with angle 9 above segment F H, to the right of segment K L, and to the left of segment J M.
Answer: heres the answer, i just finished the quiz
solving literal equations a-bc=d solve for a
Answer:
a=d+Bc
Step-by-step explanation:
a-bc=d
+bc
a=d+bc
Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answer:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
✔ y = (4/3)x – 5
.
The y-intercept is
✔ –5
and the slope of the line is
✔ 4/3
.
Line
✔ B
is the graph of the line –3y = 15 – 4x.
Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]
Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]
y-intercept is -5.
Slope of the line is [tex]\frac{4}{3}[/tex].
What is linear equation?" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."
Formula used
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Slope intercept form y=mx +c
c = y-intercept
m = slope
According to the question,
Given linear equation,
[tex]-3y = 15-4x[/tex]
Convert the given linear equation in slope intercept form we get,
[tex]y = \frac{4}{3}x-5[/tex]
Compare it with the formula we get,
Slope 'm' = [tex]\frac{4}{3}[/tex]
y-intercept = -5
From the diagram we can have coordinates of line B
[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]
Substitute the value to get slope of line B,
Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]
[tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]
From the diagram y-intercept for line B is -5.
Equation of line B
[tex]y = \frac{4}{3}x-5[/tex]
Hence, slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].
Learn more about linear equation here
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3(4x-7)=27
What does x =?
Please help asap im timed!!!
Answer:
x = 4
Step-by-step explanation:
3 x ( 4x -7 ) = 27
3 x 4x = 12x
3 x -7 = -21
12x -21 = 27
12x -21 + 21 = 27 + 21
12x = 48
12x/12 = 48/12
x = 4
Use the Distributive Property to rewrite each expression. Then evaluate.
9(7 + 8)
which one is it??.......
please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
Learn more about graph here:
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Help me please, thx
Irma has 4 cups of powdered sugar. She sprinkles 1/2 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Irma sprinkle on the brownies?
Answer: 2 5/12
Step-by-step explanation:
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Algebra 2 Trig Unk 1 Test 2020 / 2 of 10
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Help -
The park in Springtown has a 2.13 km hiking trail. How many miles long is the hiking trail? (1 km =
0.6214 miles)
Answer:
1.32
Step-by-step explanation:
we have the known,
2.13 km * 0.6214 miles = 1.323521 or 1.32 miles
1 km
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 48 and a standard deviation of 9. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 30 and 66?
Answer:
95.44%
Step-by-step explanation:
Mean (m) = 48
Standard deviation (sd) = 9
n = 12
Zscore = (x - m) /sd
X = 30
Zscore = (30 - 48) / 9
Zscore = - 2
X = 66
Zscore = (66 - 48) / 9
Zscore = 2
percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)
P(z < 2) = 0.9772
P(z < - 2) = 0.0228
Hence,
0.9772 - 0.0228 = 0.9544
0.9544 * 100% = 95.44
