[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
Write an equation in point-slope form of the line that passes through the two given
points.
(4,7) and (5, 1)
Answer:
y-7=-6(x-4)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(5-4)
m=-6/1=-6
y-y1=m(x-x1)
y-7=-6(x-4)
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$
Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.
What is percentage?Percentage is a "number or ratio that can be expressed as a fraction of 100".
According to the question,
An employee earned $860 over the past years. The employee needs to pay 14% for income tax and 3% for state income tax
Find an employee needs to pay in Federal income tax:
[tex]\frac{14}{100}[/tex] × 860 = 120.4
Find an employee need to pay in State income tax:
[tex]\frac{3}{100}[/tex] × 860 = 25.8
In order to find an employee earn after paying both taxes only if we sum the amount of taxes paid by an employee and subtract from earned amount by past years.
860 - (120.4 + 25.8) =713.8
Hence, Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.
Learn more about Percentage here
https://brainly.com/question/26405072
#SPJ2
hellpppppppppppppppp
Answer:
1.875
Step-by-step explanation:
Answer:
1.875
Step-by-step explanation:
1/8 is also equivalent to 0.125 (1 divided by 8) and multiply 0.125 by 15 gives you 1.875
The distance from Jason's house to school is 0.2 kilometer. What is this distance in meters?
Answer:
200 Meters!
Step-by-step explanation:
Answer:
200 m
Step-by-step explanation:
Distance from Jason's house to school = 0.2 kilometers
Converting into metres
0.2 km = 0.2 * 1000 m = 200 m
Hope it will help :)
these two triangles are similar. find the missing length.
so if we go by fractions, you could say that 6 cm is 6/10ths or 3/5ths so 3/5ths of 25 is 15, for questions like this, when you do something to one part you have to do it to both. hope this helps
Andrea spins the arrow on the spinner one time.
What is the probability that the arrow will land on a part of the circle that has a star?
O A O
C.
OB. 1
OD. 1
My Answer for your question is
A. O
14=-4(-6c-3)+2 find c
Answer:
C = 0
Step-by-step explanation:
To find the answer simply, isolate the variable by dividing each side by factors that don't contain the variable to get the value of 'C'
Please please please help.
Answer and Step-by-step explanation:
A. Cruz is correct.
B. When we have a negative within a cube root, what we can do is move the negative sign from inside to outside the cube root.
[tex]\sqrt[3]{-64} = -\sqrt[3]{64}[/tex]
Now that we have a positive number within the cube root, we can solve the cube root itself.
So what is the cube root of 64?
The answer is 4, and since we have a negative sign outside of the cuberoot, we just put a negative sign, our answer is -4.
C. Aaron could've got it wrong because he did it a square root instead of a cuberoot of 64. Square root of 64 is 8, while cube root is 4.
Jacob could've gotten it wrong because he must've followed the fallacy that you cannot cube root a negative number.
What’s the value of a?
Answer:
a = 69
Step-by-step explanation:
The linear pair equals 180 degrees.
a + 90 + 21 = 180
a + 111 = 180
a = 69
nice!
Answer:
A= 69 degrees
Step-by-step explanation:
if all those angles equal a total of 180 degrees then all you need to do is add the angles your given which in this case is 21 and a 90 degree angle which would equal 111 degrees, then subtract 111 from 180 and that would be the answer to the missing angle, which is 69 degrees.
21 + 90 = 111
180- 111 = 69
HELP PLS MY MOM WILL BEAT ME HELP THXS
Answer:
Solution is the missing word.
Step-by-step explanation:
Answer:
Solution
Step-by-step explanation:
What is the simplified version of this?[tex]\frac{\sqrt{2} }{3+\sqrt{5} }[/tex]
Answer:
(3√2 - √10)/4Step-by-step explanation:
Simplify, rationalize the denominator
√2/(3 + √5) = √2(3 - √5)/(3 + √5) (3 - √5) =(3√2 - √10)/(3² - 5) =(3√2 - √10)/4Write the polynomial in standard form given the following zeros. Show all work.
(hint; the polynomials are of degree 3)
1. x = -3i, x=2
2. x = 3(multiplicity 2), x = -1
Please show work I need it please and thanks fir Hu ever answers it
Answer:
x³ - 2x² + 9x - 18x³ - 5x² + 3x + 9Step-by-step explanation:
1.
Zero's
x = -3i, x = 2 and the third zero is x = 3iPolynomial is:
(x + 3i)(x - 3i)(x - 2) =(x² - 9i²)(x - 2) =(x² + 9)(x - 2) =x³ - 2x² + 9x - 182.
Zeros:
x = 3, x = 3, x = -1Polynomial is:
(x - 3)(x - 3)(x + 1) = (x² - 6x + 9)(x + 1) =x³ + x² - 6x² - 6x + 9x + 9 =x³ - 5x² + 3x + 91/2 x 1/7? Pls help me!!!!
Answer:
0.07142857142
Step-by-step explanation:
Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!
14$ plus 6% tax. $16 plus a 6%. Round to your nearest
Answer:
For 14 & tax: $14.84
For 16 & tax: $16.96
Step-by-step explanation:
14*0.06 = 0.84, 14 + 0.84 = 14.84
16*0.06 = 0.96, 16 + 0.96 = 16.96
answer asap ty.!
Thanks
Answer:
x=0
Step-by-step explanation:
5-9+3x = -10+6
-4+3x = -4
+4 . +4 (Both sides)
3x = 0
/3 /3 . (divide both sides by 3)
x=0
A small radio station can broadcast a distance of 16 miles in all directions. A broadcast from the radio station can reach a total area of-?
Answer:
Step-by-step explanation:n1g4 a 103837 miles
Javier works each weekend at an animal shelter. He earns $8 an hour. He is saving his earnings to go on a ski trip that costs $190.
Becca says that Javier must work at least 6 more hours to have enough money to go on the ski trip. Her work is shown below. Choose True or False about each statement
Becca's solution included all of the hours Javier worked on both weekends. (TRUE OR FALSE?)
Javier worked a total of 23 hours on both weekends. (TRUE OR FALSE?)
Javier earns $198 for 24 hours of work. (TRUE OR FALSE?)
Javier only needs to work one more hour to have enough money for his trip. (TRUE OR FALSE?)
Answer:
Becca's solution included all of the hours Javier worked on both weekends.Step-by-step explanation:
Javier needs to work at least 6 more hours. He will earn:
6*8 = $48He has already got:
$190 - $48 = $142He worked:
142/8 = 18 hours (rounded)Total he will have worked:
18 + 6 = 24 hoursAnswer choices:
Becca's solution included all of the hours Javier worked on both weekends.
TRUEJavier worked a total of 23 hours on both weekends.
FALSE. 23*$8 = $184 < $190Javier earns $198 for 24 hours of work.
FALSE. 24*8 = $192Javier only needs to work one more hour to have enough money for his trip.
FALSE. Becca says 6 more hours required.Need Help With This -Award 10 Points
Find the slope of the line passing through the pair of points.
(-4,5) and (0, 2)
Answer:
y = 3/-4x + 2
Step-by-step explanation:
Answer:
slope = [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
1) To find the slope between a pair of points, use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:
[tex]\frac{(2)-(5)}{(0)-(-4)} \\= \frac{2-5}{0+4} \\= \frac{-3}{4}[/tex]
Thus, the slope is [tex]-\frac{3}{4}[/tex]
Subtract -5x^2+7x+1 from 8x^2+x-10
I will give brainleist
Answer:
3x² + 8x - 9
Step-by-step explanation:
8x² - 5x² +x+7x-10+1
=3x² + 8x - 9
Andrew 720 seconds take shower and 420 seconds eating breakfast how many minutes does it take Andrew take a shower and eat breakfast
Answer:
Total time = 19 minutes.
Step-by-step explanation:
Given the following data;
Time to shower = 720 seconds
Time to eat breakfast = 420 seconds
To find the total time in minutes;
Total time = 720 + 420
Total time = 1140 seconds
We know that 60 seconds equals a minute.
Total time = 1140/60
Total time = 19 minutes.
Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.
Jenny bought an item online for $180, and she was charged a $9 fee for shipping. What percent of the sale price was the shipping fee?
Answer:
Step-by-step explanation:
can u please help me with my english ?
Ms. Pickle is a salesperson at Fluffy Dogs. Each week she earns $560 plus a 6.5% of her sales. How much did she earn last week if her sales were $3800?
Answer:
I think 247 is your answer!
Step-by-step explanation:
$560 plus a 6.5% of her sales = 596.4 US$
3800 plus a 6.5% of her sales last week = 4047
6.5% of 3800 is 247
4.7 is what percent of 64?Round to the nearest hundredth
Answer:3.008
Step-by-step explanation:
Solve for x
-4 + x _< 9
Answer:
Step-by-step explanation:
what is the underscore for?
Answer:
your answer should be x < 13
Step-by-step explanation:
Hope this helps and have a nice day :)
Please help if you can’t see the photo the problem is
.5/1 = x/1.2+x
Answer:
x= 30/11
11x=30
Step-by-step explanation:
What is 4/9 x 5/7 x 1/2
Answer:
0.16
Step-by-step explanation:
4*5*1=20
9*7*2=126
20/126=10/63
Answer:
10/63
Step-by-step explanation:
First, let's solve 4/9 * 5/7. Multiply the numerator first- 4*5=20. The denominator is 9*7=63. So, this equals 20/63. Now we need to find 20/63 * 1/2. We can cancel out the 2 on the denominator and divide 20 on the numerator by 2. So, you get 10/63 * 1/1, which is 10/63.
Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro
de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad
actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual
de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo
Answer:
respuesta el joven tiene 15 y el padre 30
Pls help thanks okay bye
Answer:
6 + 5 + 10= 22 is the answer
Step-by-step explanation: