Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
It says write in scientific notation but isn’t it already in scientific notation ???
Answer please please
Answer:
t>-2
Step-by-step explanation:
So Act like this is an equation and add -3 to both sides:
t>-2
Thats your answer!
The correct choice should be #1
Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month
until it was paid off. What is the initial value in this situation?
Answer:
its 5
Step-by-step explanation:
A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!
Nikos paid $22,500 for a new car. Over the next 3 years the value of his dropped $3750. How much did the value of the car drop each year on average?
Answer:
about $1250 per year.
Two given angles cannot be both..
A. congruent and complementary
B. vertical and congruent
C. adjacent and congruent
D. vertical and adjacent
Please help me :(
If vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.
Recall:
If two angles are said to be vertical when both angles are directly opposite each other and are also congruent or equal in measure.
Vertical angles share a common vertex or point but do not share a common side.
Adjacent angles share a vertex and a common side.
Thus, if vertical angles are directly opposite each other and do not share a common side, therefore, two given angles cannot be both: D. vertical and adjacent.
Learn more here:
https://brainly.com/question/16303608
How is the graph of a function whose domain is all real numbers different from the graph of a function whose domain is a specified set of distinct numbers?
What are the 5 levels of organization in an ecosystem? Please put them in order from level 1 to level 5.
- biosphere
-Individual organism
-community
-population
-ecosystem
Please help I’m on a test can you place these in order!
Answer:
Individual |
Population |
Community |
Ecosystem |
Biosphere V
Step-by-step explanation:
Answer:
population
community
ecosystem
biosphere
HELP!! VERY TIME TIME SENSITIVE
Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)
Answer:
B is your correct answer
Step-by-step explanation:
The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
What is Inverse of function?The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.
First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:
x = 1/2y + 2
x - 2 = 1/2y
2x - 4 = y
So, the inverse function is f⁻¹(x) = 2x - 4.
Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).
Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.
We can start by plugging in y = 2 into the equation for f⁻¹(x):
y = 2x - 4
2 = 2x - 4
6 = 2x
x = 3
So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
Learn more about Inverse of Function here:
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what is 3a + 3/6. if a = 1/4
Answer:
5/4
Step-by-step explanation:
Solve by plugging in the value to "a".
Solve:
3a + 3/6
3(1/4) + 3/6
Multiply the parenthesis.
3/4 + 3/6
Simplify 3/6
3/4 + 1/2
Find the common denominator, which is 4. Make the denominators the same.
3/4 + 2/4
Add the fractions.
5/4
Libby needs to make 1/2 of her chili recipe for the school's chili contest. If Libby usually needs 1/2 cup of corn for her recipe, how much corn will she need for the chili contest
Answer:
She need [tex]\frac{1}{4}[/tex] cups of corn.
Step-by-step explanation:
Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.
She make half of her recipe
So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups
[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]
Cross multiply
x=0.25
To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.
Answer:
yep 1/4
Step-by-step explanation:
can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
127 feet
Step-by-step explanation:
I did this already and I got it correct
Answer:
Its either 90 or 100
Step-by-step explanation:
A man hits a golf ball (0.24 kg) which accelerates at a rate of 20 m/s2. What amount of force acted on the ball?
Answer: 4.8 Newton’s
Step-by-step explanation:
Force = mass x acceleration
Answer:
the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.
so 4 newtons
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation:
PLEASE HELP TIMED TEST!!!
Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)
Answer:A
Step-by-step explanation:
If they both go down from 3 then it is 3 and then -infinity.
(this is my best answer without a picture, hope you get it right!)
is it Min or Max
help me pls
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC
The value of x from the figure is 4
Similar triangleFrom the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;
25/3x-2 = 20/2xCross multiply
25(2x) = 20(3x - 2)
50x = 60x - 40
50x - 60x =-40
-10x = -40
x = 4
Hence the value of x from the figure is 4
Learn more on similar triangles here; https://brainly.com/question/2644832
Which of the following is equivalent to x4 - y4? Select all that apply.
(-y)(x + y)3
(x2 - y2)2
(x - y)2(x + y)2
O 62 - y2)(x2 + y2)
o 6-y)6+y)(x2+x2)
Answer: (x^2-y^2) (x^2+y^2) and (x-y)(x+y)(x^2+y^2)
Step-by-step explanation:
(x2 − y2) (x2 + y2)Expand (x2 − y2) (x2 + y2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2 ) − y^2 (x^2 + y )
Apply the distributive property.
x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2
Combine the opposite terms in x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y^2.
Reorder the factors in the terms x^2 y^2 and − x^2 y^2.
x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2
Subtract 2 2 from 2 2.
x^2 x^2+ 0 - y^2 y^2
Add 2 2 and 0.
x2 x2- y2 y2
Simplify each term.
Multiply x2 by x2 by adding the exponents.
x^4 − y^2y^2
x^4 − y^4
(x-y)(x+y)(x^2+y^2)(x − y) (x + y) (x^2 + y^2)
Expand (x − y) (x + y) using the FOIL Method.
(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)
Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.
(x ⋅ x − y ⋅ y) (x^2 + y^2)
(x^2 − y^2) (x^2 + y^2)
Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2) − y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2
Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.
x^2x^2 − y^2y^2
x^4 − y^4
please give me brainliest :)
I need help with 13&14 please ASAP!!!!!
Answer:
3/5 for 13
Step-by-step explanation:
add 2 to the numerator and the denominator
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
In the expression 10 - b²a, the co-efficient of ‘a’ is ?
Answer:
-b²
Step-by-step explanation:
a's coefficient is -b² because that is what a is being multiplied by.
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
how do you solve this using the substitution method?
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams
Answer:
3 kilograms
Step-by-step explanation:
one is for liquids and the others are too small i think
math test questions
Find the measurement of the unknown angle
Answer:
The unknown angle is 65°
Step-by-step explanation:
Let the unknown angle be y
40°+75°+y = 180°
y = 180°-115°
y = 65°
Therefore, the unknown angle is 65°
(Help asap) If the base of a ladder is 5ft from a building how long must the ladder be to reach a window in the building that is 15ft above the ground?
A) 14.1 feet
B) 20.0 feet
C) 15.8 feet
D) 10.0 feet
Answer:
C. 15.8
Step-by-step explanation:
√a²+b² =c²
√15²+5²=15.8²
BTW are you trying to sneek out. lol
*plz mark brainliest*
Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?
Answer:
15 km?
Step-by-step explanation:
10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]