Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
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
Which value must be added to the expressionx2+16x to make it a perfect-square trinomial?
Answer:
Step-by-step explanation:
Please write x^2+16x or x²+16x to indicate the exponentiation.
To rewrite x²+16x as a perfect square trinomial:
1) Take half of the coefficient of x, that is, half of 16, which is 8
2) Square this result: 8² or 64
3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:
x²+16x + 64 - 64
4) Rewrite the first three terms as the square of the binomial x + 8:
(x + 8)² - 64
Here (x + 8)² is a perfect square trinomial.
Answer:
The answer is C.) 64 on edge.
evaluate the expression x+9, if x=8
Answer:
17
Step-by-step explanation:
x+9
if x=8 you would substitute x for 8 making the equation
8+9 = 17
therefore, the answer is 17.
Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi
Answer:
All are rational numbers I guess
Step-by-step explanation:
NoTE : I'm not sure
Answer:
For the first one its 7/9 ig
Hi, i need help quickly. I need the solution for
Estimate the value of
[tex] \sqrt{97.5 \div 1.96} [/tex]
Please make it quick
Answer:
7.05
Step-by-step explanation:
Answer:
7.053
Step-by-step explanation:
97.5/1.96=49.745
√49.745=7.053
How can you tell if there will be more than one solution for the geometric means?
Answer: because there are different methods to it and different solutions.
Step-by-step explanation:
-8(1 + 4p) + 7p = – 25 – 8p
Find the measure of DCH.
===================================================
Work Shown:
Angles DCH and PCF are congruent because they are vertical angles.
angle DCH = angle PCF
5h+94 = 7h+80
94-80 = 7h-5h
14 = 2h
2h = 14
h = 14/2
h = 7
angle DCH = 5h+94
angle DCH = 5*7+94
angle DCH = 35+94
angle DCH = 129 degrees
angle PCF = 7h+80
angle PCF = 7*7+80
angle PCF = 49+80
angle PCF = 129
We get the same result for both angles, which confirms the correct h value.
Three times a number increased by 7 is 100. Find the number.
Answer:
31
Step-by-step explanation:
100-7= 93
93÷3=31
Answer:
the number is 31
Step-by-step explanation:
the number is the variable x
3 times the number is 3x
increased by 7 is +7
is 100 is =100
3x +7 =100
subtract 7 from both sides
3x =93
divide by 3 on both sides
x = 31
Solve for the variable in the following proportion
m/1/3 = 10/1 2/3
50
2
5
3/5
please help?
Answer:
the answer is 5
Step-by-step explanation:
Is 2.01 less than 2.2
Answer:
Yes, 2.01< 2.20
Step-by-step explanation:
Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350
Answer:
$1,000
Step-by-step explanation:
Given that:
Charge per car = $8.50
Averahe car washed per weekend = 22
Using front end estimation, how much will business earn in 5 weeks ;
Hence amount earned per weekend :
22 * $8.50 = $187
Using front end estimation :
$187 - - -> $200
$200 * number of weeks
($200 * 5) = $1,000
Answer:
$1,000
Step-by-step explanation:
I know because I took the test.
(3y-1)^5 written in standard form please help!!!!
Answer:
Step-by-step explanation:
[tex](3y-1)[/tex]
[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]
[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]
write an equation for each quadratic function whose graph is shown
Answer:
9. y=5[tex]x^{2}[/tex]
10. y=2/3[tex]x^{2}[/tex]
11. y=1/10[tex]x^{2}[/tex]
12. y=-1/4[tex]x^{2}[/tex]
Step-by-step explanation:
9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).
y=a(x-0)^2 +0
Substitute the x and y values for the given point on the graph, (-1, 5)
5=a(-1-0)^2+0
Solve for a.
5=a(-1)^2
5=a
Substitute a in vertex form and solve for general form (ax^2 +bx+c)
y=5[tex]x^{2}[/tex]
Use this method to find the rest of the equations.
Evaluate. 5/8−(14)2= ________
Answer:
exact form -219/8
Decimal form - -27.375
Mixed number form - -27 3/8
Anita is making headbands for her softball team. She needs a total of 3/4 yard of fabric. Select all types of fabric that cost less than $8 per yard. Total cost for 3/4 of cotton: 5.54 Total cost of 3/4 of Flannel: 2.62 Total cost of 3/4 of Fleece: 4.27 Total cost of 3/4 of Terry cloth: 6.52
Answer:
All except the Terry Cloth
Step-by-step explanation:
The fabrics that cost less than $8 per yard are cotton, flannel and fleece.
In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4
cost of a yard = total cost ÷ [tex]\frac{3}{4}[/tex]
Cost of a yard of cotton = 5.54 ÷ [tex]\frac{3}{4}[/tex] = 6.85
Cost of a yard of Flannel = 2.62 ÷[tex]\frac{3}{4}[/tex] = 3.49
Cost per yard of Fleece = 4.27 ÷ [tex]\frac{3}{4}[/tex] = 5.69
Cost per yard of Terry Cloth = 6.52 ÷[tex]\frac{3}{4}[/tex] = 8.69
Based on the above calculations, all but Terry cloth cost less than $8 per yard
A similar question was solved here: https://brainly.com/question/2244723?referrer=searchResults
Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)
Answer:
D. 3(x-1) = 3x-3
Step-by-step explanation:
I'm sure that's the answer
Answer:
D and E
Step-by-step explanation:
1/3 - 2/9 find the solution
Answer:
1/9
Step-by-step explanation:
1/3 - 2/9
Get a common denominator of 9
1/3 *3/3 = 3/9
3/9 - 2/9
1/9
HELP ASAP . You the real one if you do.
Answer:
x=1
Step-by-step explanation:
hope this helps and hope its correct
give me an example of irrational between 4 and 5
Answer:
√17, √18,√19,√20,√21,√22,√23 ,√24
Step-by-step explanation:
does the table below show a proportional relationship
Answer:yes
Step-by-step explanation:
The radius of a circle is 8 meters. What is the diameter?
Answer:
16 meters
Step-by-step explanation:
r=8m
8*2=16
d=16m
Answer:
16
Step-by-step explanation:
The diameter is the radius times 2.
Can you please help me with this please.... I’ve been posting these questions over and over and nothing...
Snorkel, mask, and flippers
Slope:
Snorkel, mask, and flippers
y-intercept:
Snorkel, mask, and flippers
Slope intercept form:
Answer:
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
HELPPPP PLEASSEEEEEE!!!
Answer:
Answer:
b2 = 2A/h - b1
Step-by-step explanation:
simplify and expand (X+3)(x-3)(3x+3)
Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
===============================================
Work Shown:
(x+3)(x-3)(3x+3)
(x^2-9)(3x+3) .... difference of squares rule
y(3x+3) .... let y = x^2-9
y*3x + y*3 .... distribute
3x( y ) + 3( y )
3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9
3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute
3x^3 - 27x + 3x^2 - 27
3x^3 + 3x^2 - 27x - 27
Can someone please help me ASAP I’ll mark brainlist!!!!?!?
Solve for the indicated variable.
2a + 2b = c for b
B = ?/?
Answer:
b = c − 2a
------------
2
Step-by-step explanation:
2a + 2b = c
2b = c − 2a
b = c − 2a
------------
2
Wage per hour $11.13.
3 hours per day of work.
Takes 44.93 (45) hours of work to get $500.
For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?
Answer:
It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week
Step-by-step explanation:
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1
Given:
Four equations are
[tex] 7 x + 1 = 7 x+ 1[/tex]
[tex]3 x + 2 = 3 x-2[/tex]
[tex]4 x + 1 = 3 x + 8[/tex]
[tex]-2x-1 = -2 x-1[/tex]
To find:
Without solving which equation has no solution.
Solution:
We know that, in an equation
1. No solution : When variable terms are same but constants are different.
2. Unique solution : When variable terms are different.
3. infinitely many solution : When variable terms and constants are same.
In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.
Therefore, these two equations (first and fourth) have infinitely many solutions.
In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.
Therefore, the second has no solutions.
In third equation, coefficient of x are difference on both sides.
So, this equation has unique solution.
Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.
Answer:
D
Step-by-step explanation:
Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B?
Answer:
No, you would need it to have the same multiples: for example, Triangle A has 2,3,4 so Triangle B would have 4,6,8
Step-by-step explanation:
I hope that makes sense!