The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)
How to find solution to the system of equation
7x + 3y = - 3
y = - 2x
Substitute the value of y in equation(i)
Therefore,
7x + 3(- 2x) = -3
7x - 6x = -3
x = -3
Let's find y by substituting the value of x in equation(ii)
y = -2x
y = -2(-3)
y = 6
Therefore, the solution set of the equation is (-3, 6)
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What is the inverse of the function f(x) = x + 3?
Answer:
[tex]h(x)=x-3[/tex]
Answer:
h(x) = x-3
Step-by-step explanation:
y = x+3
Exchange x and y
x = y+3
Solve for y
Subtract 3 from each side
x-3 = y+3-3
x-3 =y
The inverse is x-3
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3
Step-by-step explanation:
Or 3/1
Cheers! :)
PS: GOT AN QUESTION WORTH 10 POINTS ANYONE INTERESTED?
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
Answer:
18x - 8
Step-by-step explanation:
Geno is running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice.
Answer:
22
Step-by-step explanation:
Answer:
22 yd
Step-by-step explanation:
An airplane lands at an airport 60 miles east and 25 miles north of where it took off, how far apart are the two airports?
Answer:
20 miles
Step-by-step explanation:
Name the Secondary Consumers/Carbivores,Omnivores
Answer:
secondary consumers: foxes, owls, and snakes. Wolves, crows, and hawks
carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.
omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice
hope this helped!
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Answer:
65p
Step-by-step explanation:
375 divided by 750=0.50
0.50+15=65p
Answer:
0.65
Step-by-step explanation:
750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65
what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
What is the HIGHEST COMMON FACTOR of 36 81
Answer: 9
Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.
Answer:
its 9
Step-by-step explanation:The prime factorization of 81 is: 3 x 3 x 3 x 3.
. The prime factors and multiplicities 36 and 81 have in common are: 3 x 3.
so 9
If x-9 is a factor of x2 – 5x - 36, what is the other factor?
x - 4
x + 4
A
ООО
X-6
X + 6
Answer:
x²-5x-36
=> x²-9x+4x-36 = 0
=> x(x-9)+4(x-9)
=> (x-9) (x+4)
Step-by-step explanation:
Answer:
(x-9) (x+4)
Step-by-step explanation:
x^2 – 5x - 36,
What two numbers multiply to -36 and add to -5
-9 *4 = -36
-9+4 = -5
(x-9) (x+4)
find,in terms of pie,the curved surface area of a cone with circular base diameter 10cm and height 12cm
Answer: 65π
Step-by-step explanation:
you can draw the cone to make it easier for you to understand.
to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.
to do this you need the length of the side and the radius of the cone.
to find radius, divide the diameter by 2.
[tex]\frac{10}{2}[/tex] = 5
then use the right angle triangle in the cone to find the length of the side
use Pythagoras theorem which states that a² + b²= c²
a= 5, b= 12, c= x (length of side)
∴[tex]x^{2} 5^{2} + 12^2 =x^{2} \\25 + 144 = x^{2} \\169= x^{2} \\x=\sqrt{169} \\x= 13[/tex]
no that you have found the length
multiply the base radius by pie
which is:
5 ×π = 5π
then multiply this by the length of the side
5π × 13 = 65π
there you go!
hope it helps!
Can someone please answer my question: What is 72% of 54?
Answer:
38.88
Step-by-step explanation:
72% of 54
= [tex]\frac{72}{100}[/tex] × 54
= 0.72 × 54
= 38.88
Answer:
38.88
Step-by-step explanation:
so if you work it out like me then you break it down
100% = 54
10% = 5.4
1% = 0.54
you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]m-6(n+2)=-8\\6n+m=16[/tex]
Rearrange the second equation and substitute it into the first equation.
[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]
Now we can use our value of n, and substitute it into the second equation to solve for m.
[tex]6(1)+m=16\\6+m=16\\m=10[/tex]
Now we can divide our values.
[tex]\frac{n}{m}=\frac{1}{10}[/tex]
Pls solve for x. (Pls show step by step explanation)
3(x-2)+7x=1/2(6x-2)
Answer:
x=5/7
Step-by-step explanation:
Distribute
3x-6+7x=3x-1
Combine Like Terms
10x-6=3x-1
7x-6=-1
7x=5
x=5/7
Answer:
[tex]x=5/7[/tex]
Step-by-step explanation:
[tex]3(x-2)+7x=1/2(6x-2)[/tex]
Use algebraic distribution.
[tex]3x-6+7x=3x-1[/tex]
Add like terms.
[tex]10x-6=3x-1[/tex]
Add [tex]-3x[/tex] and [tex]+6[/tex] on both sides of the equation.
[tex]10x-3x=-1+6[/tex]
Add and subtract.
[tex]7x=5[/tex]
Divide [tex]7[/tex] on both sides of the equation.
[tex]x=5/7[/tex]
–5 d + (–6) u – 3, when d = 2 and u = 7
Answer:
-55
Step-by-step explanation:
when d= 2 and u=7
-5(2)-6(7)-3
-10 - 42 -3 = -55
Please mark as Brainlest
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 4 is an expression.
3x = 4 is an expression.
We have,
-5d + (-6)u - 3 ______(1)
Substitute d = 2 and u = 7 in (1).
-5 x 2 + (-6) x 7 - 3
Add all the like terms.
-10 - 42 - 3
-10 - 45
- 55
Thus,
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55.
Learn more about expressions here:
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tell whether the red figure is a translation or rotation of a black figure
Answer:
The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.
Answer:
translation
see below
Step-by-step explanation:
translation because it didn't change direction of the figure
translation is sliding down or up rotation is moving in circle
5 + 3 + 2 = 151022
9 + 2 + 4 = 183652
8 + 6 + 3 = 482466
5 + 4 + 5 = 202541
Then ...
7 + 2 + 5 = ??????
Answer:
7 + 2 + 5 = 143547
Step-by-step explanation:
This question needs to identify the pattern
the pattern
is
5 + 3 + 2 = 151022
First two digits: 5*3 = 15 multiple of first and second term
third and fourth digit: 5*2 = 10 multiple of first and third term
last two digit = First two digits + third and fourth digit - second term
= 15+10 - 3 = 22
similarly
9 + 2 + 4 = 183652
9*2 = 18
9*4 = 36
18+36 - 2 = 52
____________________________________
5 + 4 + 5 = 202541
5*4 = 20
5*5 = 25
20+25-4 = 41
_______________________
7 + 2 + 5 = ??????
7*2 = 14
7*5 = 35
14+35-2 = 49-2 = 47
thus, 7 + 2 + 5 = 143547
Anyone know the answer ASAP please
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
6(5 – 3x) – 5(3x + 2)
Given
[tex]6(5-3x)-5(3x+2)[/tex]
Distribute
[tex](30 - 18x)+(-15x-10)[/tex]
Rearrange and solve
[tex](-18x+30)+(-15x-10)[/tex]
Subtract (30) to both sides
[tex](-18x+30)-30+(-15x-10)-30\\(-18x)+(-15x-40)[/tex]
Add (15x) to both sides
[tex]+15x(-18x)+(-15x-40)+15x\\-3x+40[/tex]
Your answer is
[tex]-3x+40[/tex]
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
Retro Recyclers processes used plastics into milk containers and soda containers. The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers. Retro earns $35 per tons for milk containers and $28 per ton for soda containers. Retro wants to figure out how many tons of plastic should be allocated for milk containers and how many tons for soda containers in order to maximize its weekly profit.
Define the variables, write the constraints, and write the objective function for this situation.
Answer:
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
subject to following constraints:
[tex]x\geq 900\\y\geq 600[/tex]
[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]
Step-by-step explanation:
Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.
Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.
To find: objective function for the given situation
Solution:
Let x tons be used to make a milk container and y tones be used to make a soda container.
As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,
[tex]x\geq 900\\y\geq 600[/tex]
Also, as the recycling plant can process up to 2000 tons of plastic a week,
[tex]x+y\leq 2000[/tex]
Also, [tex]x\geq 0\,,\,y\geq 0[/tex]
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
PLEASE HELP!! The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been made to the account, which statement describes the accounts growth.
The table and answers are attached.
Answer:
C
Step-by-step explanation:
The answer is c because 10.5 also equals up to 1,32300
The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.
What is an example of a cash account?
Cash accounts
A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.
What type of account is ideal for investment?A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.
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Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!!!!
Answer:
I belive that the correct answer is 32. hope this helps mark me as brianliest????
Step-by-step explanation:
Answer:
missing constant is 36
Step-by-step explanation:
x²-12x+36
because 12x= 2*√x²*√36
so 36 is missing constant
and there is easier way (12/2)² = 36
When chords intersect in a circle, the vertical angles formed intercept congruent arcs
Answer:
c
Step-by-step explanation:
find the y-intercept for parabola defined by this equation: y=-4x^2-x+3
Answer:
(0,3)
Step-by-step explanation:
An easy way to determine the y intercept of a function is to graph it, and to see where the function passes through the y axis. As you can see below, the y intercept of this graph is at (0,3). Hope this helps!
Answer:
Y intercept = (0,3)
Step-by-step explanation:
When looking at a equation like this the y intercept would always the the number without a variable beside it.
-x would be the slope of the function
So 3 is your y intercept
Hope this helps!
Expand 3x(2 + 11x) please answer
Answer:
6x + 33x²
Step-by-step explanation:
3x × 2 = 6x
3x × 11x = 33x²
A drawer contains a dozen each of red,blue,green,ad white socks,all unmatched.Laura takes socks out at random in the dark.How many socks must laura take to be sure she has 2 pairs of white socks
Answer:
40 socks
Step-by-step explanation:
There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:
[tex]n=(12*4) - 8\\n=40\ socks[/tex]
She must take at least 40 socks.
Have a great wonderful fantastic amazingggg dayyyy!!!
Answer: 176m^2
Step-by-step explanation:
The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.
12 x 15 = 180
1 x 4 = 4
180 - 4 = 176m^2
Answer:
44
Step-by-step explanation:
To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.
Write the recursive function for the following sequence. 0, 4, 8, 12,