Answer:
[tex]x=2\\y=3[/tex]
Step-by-step explanation:
Solve by substitution method
[tex]y=4x-5\\y=3x-3[/tex]
First, solve [tex]y=4x-5[/tex] for [tex]y[/tex]:
Substitute [tex]4x-5[/tex] for [tex]y[/tex] in [tex]y=3x-3[/tex]
[tex]y=3x-3[/tex]
[tex]4x-5=3x-3[/tex]
[tex]4x-3x=5-3[/tex]
[tex]x=2[/tex]
Now that we have the value of x
substitute [tex]2[/tex] for [tex]x[/tex] in [tex]y=4x-5[/tex]
[tex]y=4x-5[/tex]
[tex]y=4(2)-5[/tex]
[tex]y=8-5[/tex]
[tex]y=3[/tex]
∴ The value of [tex]x[/tex] is [tex]2[/tex] and the value of [tex]y[/tex] is [tex]3[/tex]
Use the matrix tool to solve the system of equations choose the correct ordered pair -5x+6y=-3 6x-6y=12
Answer:
Hello,
x=9
y=7
Step-by-step explanation:
[tex]A*U=B\\\\\begin{bmatrix}-5&6\\6&6\\\end{bmatrix}*\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3\\12 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}1&1\\1&\dfrac{5}{6}\\\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\\\U=\begin{bmatrix}9\\7 \end{bmatrix}\\[/tex]
An unfair coin is flipped. If a head turns up you win $1. The probability of a head is .54 and the probability of a tail is 0.46. What is the expected value of the game
Answer:
54 cents
Step-by-step explanation:
(.54 * 1)+(.46*0) = .54
a firm employs 360 people of whom 1/9are killed workers and the rest are unskilled workers. Of the unskilled workers, six are foremen who earn sh 13500 per month each while the rest earn sh9000 per month .of the skilled workers. a half earn sh19500 each pm while the rest earn sh 24500 each per month .prepare one months wages bill for the firm
Answer:
3787000
Step-by-step explanation:
360*1/9=40 - skilled workers
360-40=320- the quantity of unskilled
6*13500=81000- wage for six unskilled
(320-6)*9000= 314*9000= 2826000- wage for the rest of unskilled
2826000+81000= 2907000- wage for unskilled
40/2=20 - the half on skilled
20*19500= 390000- Payment for a half
20*24500= 490000- Payment for ANOTHER HALF OF SKILLED WORKERS
2907000+390000+490000= 3787000
sketch the graph of the equation: y=x, y=-x,
Answer:
purple line is -x and green line is x
hope that answers your question
used desmos to graph, its pretty cool!!!
explain how you determined which operation was needed to write the equation. 9 divided by 3/4
9/ (3/4)
= (9/1)/(3/4)
=(9x4)/(1x3)
=36/3
=12
Answer:
division:
divided means division (:)
9:3/4
And the answer is 12:))))))))))
Step-by-step explanation:
London bought snacks for her team's practice. She bought a bag of apples for $2.25
and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answer:
9.63 - 2.25 = 18j
j = 0.41
Step-by-step explanation:
first you set the equation equal to 18 since you want to find out what each bottle of juice costs.
= 18j
if the total cost was 9.63 you need to subtract 2.25 form it to find out how much the 18-pack of juice bottles was. so you set 9.63 - 2.25 equal to 18j
9.63 - 2.25 = 18j
7.38 = 18j
0.41 = j
Check your work:
9.63 - 2.25 = 18(0.41)
7.38 = 7.38 true!
hope this helps! if you have any questions, let me know!
the sum of 2 numbers is 18 and there difference is 6
Answer:
The two numbers are 6 and 12.
Step-by-step explanation:
So, let's start off, with x+y = 18 and x-y = 6.
Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.
You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.
So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.
------------------------------------------------------
In conclusion:
6 + 12 = 18
12 - 18 = 6
If f(x) = 2x – 1 and g(x) = x^2 – 2, find [g ◦ f](x).
Show work please
Answer:
2x^3-x^2-4x+2
Step-by-step explanation:
(g*f)(x) = g(x)*f(x) = (x^2-2)*(2x-1) = 2x^3-x^2-4x+2
If P(x) = x2 - 6x + 5, find P(4).
P(x)=x^2-6x+5[/tex]
[tex]\\ \sf\longmapsto P(4)[/tex]
[tex]\\ \sf\longmapsto 4^2-6(4)+5[/tex]
[tex]\\ \sf\longmapsto 16-24+5[/tex]
[tex]\\ \sf\longmapsto -8+5[/tex]
[tex]\\ \sf\longmapsto -3[/tex]
As a student, you are able to earn extra money by assisting your neighbors with odd jobs.
If you charged $10.25 an hour for your assistance, about how many hours would you
need to work to earn $8,425? Show your work. (
9514 1404 393
Answer:
about 822 hours
Step-by-step explanation:
If h is the number of hours for which you are paid $10.25 per hour, then the number you need is ...
8425 = 10.25h
Divide by the coefficient of h:
8425/10.25 = 10.25h/10.25
821.95121...(5-digit repeating decimal)
You need to work about 822 hours to earn $8425.
_____
Your pay for 822 hours will be $8425.50. If taxes are deducted, you need to work a while longer.
Use the point-slope formula to determine the equation of the line that has a slope of 1⁄2 and passes through point (0, 0).
Answer:
y-0 = 1/2(x-0)
y = 1/2(x)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = 1/2(x-0)
y = 1/2(x)
In AABC, mZA = 27°, c = 14, and mZB = 25°. Find a to the nearest tenth.
Answer:
Step-by-step explanation:
The equation 8(y-3)= -40 is solved in several steps below. For each step, choose the reason that best justifies it.
Addition property of Equality
Subtraction Property of Equality
Multiplication property of equality
Division property of equality
simplifying
distributive property
Answer:
Step-by-step explanation:
The steps and their reasons for the equation 8(y - 3) = - 40 are given below.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
8(y - 3) = - 40
Steps Reason
8(y - 3) = - 40 Given
8y - 24 = - 40 Distributive property
8y - 24 + 24 = - 24 + 24 Addition Property of Equality
8y = - 16 Simplifying
8y / 8 = - 16/8 Division property of equality
y = - 2 Simplifying
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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How many ways can a president, vice president, secretary, and treasurer be chosen from a club with 8 member
Answer:
504
Step-by-step explanation:
Power Function:
Analyze and model the power function: Exercise 1
(Correctly identify the function and later use it to answer the questions asked, including the development and the answer)
Answer:
The function is:
f(x) = axⁿAccording to data in the table we have:
f(1) = 3 ⇒ a(1)ⁿ = 3 ⇒ a*1 = 3 ⇒ a = 3f(2) = 12 ⇒ 3*2ⁿ = 12 ⇒ 2ⁿ = 4 ⇒ n = 2Since we found the values of a and n, the function becomes:
f(x) = 3x²The number of infected to the tenth day:
f(10) = 3*10² = 300The distance from the plane to the building __ meters
Answer:
1200 ×90÷8 is not correct ans
Andrew has 40/100 of dollars. What are two possible combinations of coins that he could have?
Answer:
1- 40 pennies
2- 4 dimes
Step-by-step explanation:
one penny is one cent => 40 pennies is 40 cents
one dime is 10 cents => 4 dimes is 40 cents
Hey there!
He can get 5 pennies, 3 dimes, and 1 nickel. Or, he can get 10 pennies, 2 dimes, and 2 nickels.
Hope this helps! Have a great day!
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
percent, the tax rate is 32 percent, and the risk-free rate is 3.3 percent. The pretax cost of debt
is 7.2 percent. What is the firm's WACC?
The WACC of the firm is 17.05%
The first step is to write out the parameters given in the question;
Beta= 1.3
Debt to equity ratio= 0.4
Market rate of return= 11.6%
= 11.6/100
= 0.116
Tax rate= 32%
= 32/100
= 0.32
Risk free rate= 3.3%
= 3.3/100
= 0.033
Pretax cost of debt= 7.2%
= 7.2/100
= 0.072
The firm's WACC can be calculated as follows
RS= 0.033+1.3(0.116-0.033)
= 0.033+1.3(0.083)
= 0.033+0.1079
= 0.1409
WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)
= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)
= 0.1006+0.0699
= 0.1705(100)
= 17.05%
Hence the firm's WACC is 17.05%
Learn more via the link below
https://brainly.com/question/23926595?referrer=searchResults
Ted and Katie have saved up a total of $94. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved
Let
Kettie saved be xTed saved=4x-6ATQ
[tex]\\ \sf\longmapsto x+4x-6=94[/tex]
[tex]\\ \sf\longmapsto 5x-6=94[/tex]
[tex]\\ \sf\longmapsto 5x=94+6[/tex]
[tex]\\ \sf\longmapsto 5x=100[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{100}{5}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
Answer:
$20
Step-by-step explanation:
T is Ted
K is Katie
T+K=94.
T=4K-6
I mostly just tried a bunch of numbers.
To check:
T+20=94
T=74
74=4(20)-6
74=80-6
74=74
I hope this helps!
pls ❤ and give brainliest pls
The table shows a linear function.
Which equation represents the function?
x f(x)
-6 -1
-3 4
0 9
3 14
A. f(x)= -5/3x+9
B. f(x)= -5/3x-9
C. f(x)= 9x+5/3
D. f(x)= 5/3x+9
Answer:
D.
Step-by-step explanation:
Try A:
x = -6, f(x) = -1:-
f(-6) = -5/3(-6) + 9
= 10 + 9 = 19 NOT A.
Try B:
f(-3) = -5/3(-3) - 9
= 5 - 9 = -4 NOT B
Try C:
9(0) + 5/3 = 5/4 NOT C
Try D:
f(3) = 5 + 9 = 14
f(0) = 9, f(-6) = -1 and f(-3) = 4
2 cans of beans cost 98¢ how many cans can you buy for $3.92?
The sum of the interior angles of a regular nonagon (9-gon) is equal to
The sum of the interior angles is 1260°
What is the domain of f(x) = 5^x - 7?
O {x|x>-7)
O {XIX<-7}
O {x|x>0}
O {x | x is a real number}
Step-by-step explanation:
{ x| x all real numbers}
The domain of f(x) = 5x – 7 will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
The domain of the function f(x) = 5ˣ - 7 is {x | x is a real number}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = 5ˣ - 7
The domain of the function is the set of all values of x such that the function is defined.
If we use any number for x, the function will be defined.
So the domain is the set of all real numbers.
So the correct option is last one {x | x is a real number}.
Hence the domain of the given function is {x | x is a real number}.
Learn more about Domain here :
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frank is 17 years older than his sister michelle. in 5 years he will be twice as old as michelle. how old is each now?
Frank will be 22 years old and Michelle will be 11
Carter buys a one-gallon bottle of juice for $23.04. What is the unit rate of the cost of the juice per fluid ounce?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Carter buy?
1 gallon = 4 quarts
4 quarts = 8 pints
8 pints = 16 cups
16 cups = 128 fluid ounces
He bought 128 ounces
Mini wants to buy a scooter for Rs 62,000 . She has only Rs 19,000 with her, so she decides to take a loan from a bank for the remaining amount. The bank offers Mini three loan schemes as shown below. Mini has to return the loan amount with interest in equal monthly instalments
2) Which among the given schemes offers a monthly instalment of less than Rs 5000. ?
a) Scheme A
b) Scheme B
c) Scheme C
d) Both Scheme A and Scheme B
I think scheme c Rs48,000 is the answer
IF YOU GET THE RIGHT ANSWER, I'LL HELP YOU GET POINTS
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?
Solution:-P: Principal, the amount you need to put in the CD
r: interest rate
t: time
A: total amount
________________________________
P(1+rt) = A
P(1+0.023×4) = 500
P(0.092) = 500
P = 500/0.092 = 5434.78
[Hence, you need $5434.78 to put in this CD to have the money for your trip ]
A grocery store manager notices that this month her store sold a total of 682 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 515 pounds of broccoli this month, which represents an increase of 11% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
The store sold __________ gallons of ice cream last month.
The store sold __________ pounds of broccoli last month.
Answer:
The store sold 758 gallons of ice cream last month.
The store sold 464 pounds of broccoli last month.
Step-by-step explanation:
Find how much ice cream they sold last month:
682/0.9
= 758
Find how much broccoli they sold last month:
515/1.11
= 464
The store sold 758 gallons of ice cream last month.
The store sold 464 pounds of broccoli last month.
What is the measure of x?
Answer:
22
Step-by-step explanation:
This is a right angle so the sum of those would be equal to 90 degrees
x + 7 + 3x - 5 = 90 add like terms
4x + 2 = 90 subtract 2 from both sides
4x = 88 divide both sides by 4
x = 22
Copy center charges $0.08 a page for machine fed copies and $0.20 for hand fed copies.If Logan's bill for 80 copies of his movie script is $13, how many copies of each type were made?
Answer:
machine fed copies = 25, hand fed copies = 55
Step-by-step explanation:
let machine fed = x, hand fed = y
0.08x+0.2y = 13 (1)
x+y = 80
x= 80-y (2)
sub (2) into (1)
0.08(80-y)+0.2y=13
6.4-0.08y+0.2y=13
0.12y=6.6
y = 55
sub y=55 into eqn 2
x = 80-55 = 25
