Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]Create a word problem where the answer to the problem is $10.50. Write the equation under.
Answer:
Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents
Step-by-step explanation:
10 + .50 = 10.50
Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.
This question is incomplete
Complete Question
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y
represent the number of hours Leah works at the ice cream shop.
Answer:
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Step-by-step explanation:
Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.
Hence:
x + y ≤ 20 ...... Equation 1
Leah would like to earn at least $120 per month.
She babysits for $5 an hour and works at an ice cream shop for $10 per hour.
Hence, out Equation is given as:
x × $5 + y × $10 = $120
5x + 10y ≥ 120..... Equation 2
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
To find x and y:
x + y = 20
x = 20 - y
5x + 10y = 120
Substitute: 20 - y for x
5(20 - y) + 10y = 120
100 - 5y + 10y = 120
Collect like terms
- 5y + 10y = 120 - 100
5y = 20
y = 20/5
y = 4 hours
Note:
x = 20 - y
x = 20 - 4
x = 16 hours
Hence:
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Determine the output if the function rule is
2x+5 : input = 5
Answer:
2x
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The input is 5 , the output is the value of 2x + 5 for x = 5 ( input ), that is
output = 2(5) + 5 = 10 + 5 = 15
What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10
Answer:
[tex]2 \sqrt{14} [/tex]
Renee has a total of 12 cookies in chocolate chip and peanut butter, C + P = 12. The number of chocolate chip cookies is three times the number of peanut butter cookies, C = 3P. How many of each type of cookie does she have?
Answer:
Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.
Step-by-step explanation:
This is a system of equations:
C + p = 12
C = 3P
All you need to do is substitute C for 3P in the first equation.
C + P = 12
3P + P = 12
4P = 12
Divide both sides by 4
4P/4 = 12/4
P = 12/4
P = 3
Now, substitute P for 3 in the first equation.
C + P = 12
C + 3 = 12
Subtract 3 from both sides
C + 3 - 3 = 12 - 3
C = 12 - 3
C = 9
C = 9, P = 3
Set up a system of equations in 2 variables.
Can you please solve this, ASAP
Answer:
if you use a2 plus b2 equals c2
Step-by-step explanation:
40 m
EASY MATH PROBLEM!
Please help me! Will mark brainliest for sure!
Answer:
A
Step-by-step explanation:
Answer:
The answer would be A
Step-by-step explanation:
Use the formula for |A| <= B which is: -B <= A <= B
For this example you would do:
1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6
2. first do the math for -6 <= 2x-8 which is 1 <= x
3. then do the math for 2x - 8 <= 6 which is x <= 7
4. Put that together and you get 1 <= x <= 7
Good luck on the other questions!
literally putting this at 45 points. can someone help me please
Answer:
15.4%Step-by-step explanation:
Volume of a cylinder:
V = πr²hContainer A
r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ftContainer B
r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²After pump out the container A has the level of:
1100π - 931π = 169πLevel % in the container A:
169π/1100π×100% = 15.4% rounded to the nearest tenthJohn took a quiz there are 25 questions, I got a 76% how many did John get right and how many did he get wrong
Answer:
6 wrong.
Step-by-step explanation:
25 questions 76% 25*0.76=19 so he got 6 wrong.
Hope this helps plz hit the crown :D
Answer:
he got 19 correct and 6 incorrect
Step-by-step explanation:
help for brainliest plsssssssssssssss
Answer:
There will be 416 students in each group.
Step-by-step explanation:
There are 1,248 students. There are also 3 groups: radical readers, mathematicians, and super scientists. To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
What is the slope of the line passing through the points (-1, 19) (-2, -7)??? M=?
helooooooooooooooooooooooooooo
Answer:
you are asking what dont understand
Step-by-step explanation:
eighteen 2.5- gallon buckets are needed to fill a cistern of water
How many 3-gallon buckets of water will fill the cistern.
Answer:
15 3-gallon buckets of water will fill the cistern
Step-by-step explanation:
Eighteen 2.5- gallon buckets are needed to fill a cistern of water
This means, 2.5 gallon buckets in 18 places
2.5 gallons × 18 = 1 cistern of water
45 gallons = 1 cistern of water
How many 3-gallon buckets of water will fill the cistern.
Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets
= 45 gallons / 3-gallon buckets
= 15
Number of 3-gallon bucket in a cistern = 15
15 3-gallon buckets of water will fill the cistern
ill mark brainliest if correct so please help
Answer:
wait do we solve it or is there answer choices??
If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3
Answer:
f(g(x)) = 4x³
Hence, option C is true.
Step-by-step explanation:
Given
[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]Determine:
f(g(x)) = ?
solving the f(g(x))
f(g(x)) = f(x³)
= 4x³
Therefore,
f(g(x)) = 4x³
Hence, option C is true.
HELPPP ASAP WILL MARK BRAINILEST
Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!
how many solutions?
Answer:A) no solutions
Step-by-step explanation:
1) set both problems equal to each other
2) subtract four from each side
3) subtract 2x from each side
4) 10 does not equal 0
Answer:
No solution
Step-by-step explanation:
As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution
A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
4 = 16,000
8 = 32,000
10 = 40,000
Step-by-step explanation:
4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.
The two right triangles on the graph below are similar.
Answer:
B is the correct chose
Step-by-step explanation:
HELP THIS IS TIMED
2/11z-5/11z+4-1/11z-8
simplify plssss i can give reward
Answer:
-145/88z+4
Step-by-step explanation:
Answer: -4/11z - 4
Step-by-step explanation: We can combine like terms to simplify the expression 2/11z - 5/11z + 4 - 1/11z - 8. The terms 2/11z, -5/11z, and -1/11z are like terms because they all have the same variable part z. When we add them together, we get (2 - 5 - 1)/11z = -4/11z. The constants 4 and -8 are also like terms. When we add them together, we get 4 + (-8) = -4. So the simplified expression is -4/11z - 4.
please help!!!! im really confused and no one is answering my questions
Answer:
x = 3.464 ft.
Step-by-step explanation:
To find x we use the trigonometric identity Sine.
[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]
Answer:
x = 3.464 ft.
Step-by-step explanation:
What values of X solve the equation G(x) = 0?
Answer:0
Step-by-step explanation:0x0=0
please help asap ill give brainliest if youre correct!!!
Answer: its B
Step-by-step explanation: i've done this test before
Answer:
the answer is b
Step-by-step explanation:
because i have done this question before
What is the solution for the equation 4x – 10 = 2x?
Answer:
5x
Step-by-step explanation:
subtract 4x fromboth sides
4x-10=2x
-4x -4x
divide both sides by -2
-10=-2x
-10/-2=-2x/-2
5=x
please show work
8) 3n+1 +8n2 – 8n – 7
9. given the function: f(x) =3x-7, find f(-2)
Answer:
D and A
Step-by-step explanation:
8. 1+8n^2-5n-7
8n^2-5n-6
9. -6-7
-13
A new store sells used CDs. The store had a loss of $277 during the first week. During the second week, the store made a profit of $375. How much money did the store make overall in the first two weeks?
50points
Answer:
$98
Step-by-step explanation:
Got it right on Edge2020
Answer:
yeah first dude is right its 98
Step-by-step explanation:
:)
Select the locations on the number line to plot the points 9/2 and −7/2.
Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
Step-by-step explanation:
hope it helps
Hahahahaha umm I need help thankKss
Answer:
1
Step-by-step explanation:
y+1/y-1 = 2y+3/2y+5 simplify
Answer: y=0.6 I think (try checking with other answers first)
Hope this helps a little and good luck :)
Step-by-step explanation:
