DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answers
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
Related Questions
if the scientific notation is 9.63x10^-3 what would it look like in standard form? MARKING BRAINLIEST!!!!
Answers
Answer:
.00963
Step-by-step explanation:
Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answers
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Which of the sets of ordered pairs represents a function? (1 point)
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
Answers
Answer:
Conclusion:
Both sets represent the function.
Step-by-step explanation:
We know that a function relates an input to an output.For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function
h (age) = age × 10
Thus, if the age of the plant is 2 years, the height is:
h(10) = 2 × 10 = 20 cm
Set P
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are 6, 3, -9, and -5.
Thus, there are no duplicated inputs or x-values.
Therefore, the set P of ordered pairs represents a function.Set Q
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are -7, 4, -3, and 1.
Thus, there are no duplicated inputs or x-values.
Therefore, the set Q of ordered pairs also represents a function.Conclusion:
Both sets represent the function.
Please help me with this
Answers
Answer:
A
Step-by-step explanation:
Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot
Answers
The scale that Darnell used is required.
The scale that Darnell used is 1 inch equals 5 feet.
Scale diagrams
The length of the actual garden is 20 feet.
The scale drawing is 4 inches long
[tex]20\ \text{feet}=4\ \text{inches}[/tex]
Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]
[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]
[tex]1\ \text{inch}=5\ \text{feet}[/tex]
Learn more about scale diagrams:
https://brainly.com/question/25324744
For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "n"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7,-6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
HELP PLEASE HURRY
ILL GIVE 30 POINTS AND MOST BRAINLIEST
Answers
Answer: -10, -7, -5, -2, -1, 3, 4, 8, 9
Step-by-step explanation:
Question in the photo
Need an answer asap!
Answers
Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y
Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute
for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.
Answers
Answer:
0.07m + 30 = 59.40
Mr Gonzalez used 420 minutes last month
Step-by-step explanation:
To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.
Then, add 30 to this to represent the monthly fee:
0.07m + 30
Lastly, set this equal to 59.40 because that was his total bill for the month:
0.07m + 30 = 59.40
So, the equation for the situation is 0.07m + 30 = 59.40
Solve for m in the equation:
0.07m + 30 = 59.40
0.07m = 29.40
m = 420
So, Mr Gonzalez used 420 minutes last month.
Answer:59.40
Step-by-step explanation:
Find the slope
Please help
Answers
Answer:
You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.
Step-by-step explanation:
true Or false
1.inequalities are similar to equations
2.you never isolate the variable in an inequality '
Answers
the movie theater has 250 seats 200 seats were sold for the current showing what percent of seats of seats are empty
Answers
Answer:
80%
Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.
Answer:
80%
Step-by-step explanation:
what ever he /she said
there are four children in Jana's family. She is less than 11 years old and is the oldest. there's a two-years age difference to twins, riya and seta, who come next. yuvi who is older than 5 is 2 years younger than the twins. how old are each of the children?
Answers
Answer:
Jana=10, twins=8, yuvi=6
Step-by-step explanation:
it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10
I need the value of X
Answers
Answer:
x=36
Step-by-step explanation:
By vertical angles we know that
[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]
Answer:
x = 36
Step-by-step explanation:
72 and 2x are vertical angles, so they are equal.
2x = 72
2x/2 = 72/2
x = 36
At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answers
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answers
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
How many 1/5s are there in 8/10?
Please answer right away helpers!!!
The time is ticking by now.
Answers
4/5=8/10, therefore the answer is 4
help pls!!!!!!!!!!!!!
Answers
The percentages, from left to right, are:
1) 56.25%
2) 18.75%
3) 18.75%
4) 6.25%
How to get the percentages?In this case, the 100% is 16.
We know that there are 9 individuals with black fur and black eyes, so we can write the equations:
100% = 16
X% = 9
We want to find the percentage X%. By combining these equations we get:
X% = (9/16)*100% = 56.25%
Now we can use the same equations for the other genotypes.
There are 3 units with black fur and red eyes, here the percentage is:
p = (3/16)*100% = 18.75%
There are 3 units with white fur and black eyes, so the percentage is:
p = (3/16)*100% = 18.75%
There is 1 unit with white fur and red eyes, so the percentage is:
p = (1/16)*100% = 6.25%
If you want to learn more about percentages:
https://brainly.com/question/843074
#SPJ1
Fill in the blank pls
Answers
Step-by-step explanation:
Factors
hope it helpful
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?
Answers
Answer:
25\100*500=125
1/3*125=41.66
41.66 millilites is left in the bottle
Step-by-step explanation:
Find x such that f(x) = 10 given f(x) = 4x+2
Answers
Answer:
x=2
Step-by-step explanation:
So you make the equation equal. f(x)=10 so you would put it as 10=4x+2, than you subtract two from both sides making it 8=4x and than divide both sides by 4 making it 2=x.
Answer:
[tex]\boxed {\boxed {\sf x=2}}[/tex]
Step-by-step explanation:
We know that:
[tex]f(x)=4x+2 \\f(x)= 10[/tex]
Both 4x+2 and 10 are equal to f(x). We can use substitution and set 4x+2 and 10 equal to each other.
[tex]4x+2=10[/tex]
Now, solve for x. Perform the inverse operations to isolate x on one side of the equation.
2 is being added to 4x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.
[tex]4x+2-2=10-2[/tex]
[tex]4x=10-2 \\[/tex]
[tex]4x=8[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{8}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
[tex]x=2[/tex]
For the function f(x)= 4x+2, when f(x)=20, x=2
80 Points someone please help emergency!!
Answers
Answer:
it could be (x - 2)^2 + (y - 4) ^2 = 6
Step-by-step explanation:
because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part
(x - 2)^2 + (y - 4) ^2 = 6
your welcome!
True or False. Horizontal translations move a graph up and down.
Answers
Answer:
false
Step-by-step explanation:
horizontal is left and right
Please help me thank you
Answers
Answer:
the answer is A
Step-by-step explanation:
they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form I’ll mark you brainlist I’ll mark you brainlist
Answers
Answer:
y=5x+12
Step-by-step explanation:
Starting with the components of slope intercept form y=mx+b
m is you rate of change and b represents your y intercept
This would give you in your case y=5x+b, but we still need to solve for b.
So given your (x,y) point you plug it into y=5x+b giving you:
-3 = 5 (-3) + b
then some easy multiplication and addition
-3 = -15 + b
get the constant on the oppisite side of your variable b
-3 + 15 = -15 + 15 + b
This results in b = 12
Now rewrite the formula with b = 12
Which TADA! gives you
y = 5x + 12
solve the equation 14m-7m=-56
Answers
Answer:
m=-8
Step-by-step explanation:
14m-7m=-56
7m=-56
m=-8
i think... :)
Answer:
m=-8
Step-by-step explanation:
14m-7m= -56 -----> Combine like terms
7m=-56 ------> Divide -56 by 7
m= -8
What is the value of p?
I don’t know how to do this
Answers
Answer:
C.) 35
Step-by-step explanation:
Supplementary angles equal 180, therefore, the opposite side of both the angles 90 and 125, must be 180 minus that value.
180-125=55
180-90=90
Now we know that the two inside angles equal 55 and 90. Together, that's 145.
Since all the angles within a triangle equal 180, we subtract the two other angles to find p.
180-145=35
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
Answers
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
Mariana is choosing a beverage to drink. She wants a beverage with no more than 3 grams of sugar per ounce. Which beverages meet Mariana's requirements?
Answers
Answer:
Step-by-step explanation:
The main beverage that would easily meet Mariana's requirements would be water as it contains no sugar. Other than these two flavored options that she can choose from would be to make home-made Ice-tea or lemonade. Therefore, she can choose the amount of sugar to add without going over her own requirements, but still having a delicious beverage to drink.
HELP!!!! I have never seen this. I will award big brain.
Answers
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
Tyler converted 0.0000783 to scientific notation.
0.0000783 = 78.3 x 10-6
is he correct?
Answers
Let's convert your number to scientific notation.
0.0000783
Move the decimal point 5 places to the right.
7.83*10−5
Answer:
7.83 * [tex]10^{5}[/tex]
Answer: No , the coefficient should be 7.83
Step-by-step explanation: