x+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y
Answers
Answer:
x = 62
y = 31
Step-by-step explanation:
x+(0)+(0-2)=60
x-2=60
x=62
(0)+y+(y-2)=60
y+y=62
y= 31
Related Questions
what is the perimeter of the shape
Answers
Answer:that is an s
Step-by-step explanation:
si quema cuh
An integer is 3 less than 5 times together. If the product of the two integers is 36, then find the integers
Answers
Step-by-step explanation:
An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.
The image below shows two dilated figures with lines KO and K’O’ drawn. If the larger figure was dilated using a scale factor of 5, what relationship do lines KO and K’O’ have? (10 points)
Two dilated figures are shown. The smaller figure has a line drawn connecting KO and the larger figure has a line drawn connecting K prime O prime.
Answers
The relationship between lines KO and K’O’ is given as Line K'O' = 5*line KO
Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle.
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Dilation is the increase or decrease in size of a figure by a scale factor.
The larger figure was dilated using a scale factor of 5
hence
Line K'O' = 5 * line KO
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
To learn more about the Transformation.
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If f(x) = 4x2 – 3x + 7, what is f(-2)?
Answers
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function
The range of both functions will be ?
A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answers
Answer:
it is b
bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
The weekly salaries of elementary school teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. If one elementary school teacher is randomly selected, what is the probability that he/she earns less than $450 a week?
Answers
Answer:
The probability is [tex]P(X < 450 ) = 0.18703[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 490[/tex]
The standard deviation is [tex]\sigma = \$ 45[/tex]
Generally the probability that he/she earns less than $450 a week is mathematically represented as
[tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.8889 is
[tex]P(Z < -0.8889 ) = 0.18703[/tex]
=> [tex]P(X < 450 ) = 0.18703[/tex]
Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 14 -8 8 -14
Answers
Answer:
11
Step-by-step explanation:
55 divide 5 = 11
11 + 3 = 15
5 × 11 = 55
22,389 ÷ 13=??R??
Please add the remainder and answer! I will give brainliest!
Answers
Answer:
1,722 R=3 hope this helps
30 points!!!
(1 Point)
If f(x) = 2x - 1 and g(x) = x2 + 5, find each value.
f(7).
g(-9)
Answers
Answer:
f(7)=13
g(-9)=86
Step-by-step explanation:
f(7)=2*7-1=14-1=13
g(-9)=(-9)^2+5=81+5=86
Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs
$10.50 and one other item. Write an equation to express how much money Shonda spent at the
restaurant.
Answers
Answer:
she has 4.5
and she should´ve got bacon egg and cheese than that burger
What is the right choice?
Answers
Answer:
y < - 2x + 1
Step-by-step explanation:
Select all true statements, 25 points
Answers
Answer:
the first one and the last one
Step-by-step explanation:
What is the slope of the line through (-10, 1) and (0,-4)?
Answers
Answer:
m=-1/2
Step-by-step explanation:
m=-4-1/0- -10
m=-1/2
Calc BC Problem. No random answers plz
Answers
Answer:
Part A)
[tex]f(1)=2, \; f^{-1}(1)=0, \; f^\prime(1)=1.4, \; (f^{-1})^\prime(1)=\frac{10}{7}[/tex]
Part B)
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
Step-by-step explanation:
Please refer to the table of values.
Part A)
A. 1)
We want to find f(1).
According to the table, when x=1, f(x)=2.
Hence, f(1)=2.
A. 2)
We want to find f⁻¹(1).
Notice that when x=0, f(x)=1.
So, f(0)=1.
Then by definition of inverses, f⁻¹(1)=0.
A. 3)
We want to find f’(1).
According to the table, when x=1, f’(x)=1.4.
Hence, f’(1)=1.4.
A. 4)
We will need to do some calculus.
Let g(x) equal to f⁻¹(x). Then by the definition of inverses:
[tex]f(g(x))=x[/tex]
Take the derivative of both sides with respect to x. On the left, this will require the chain rule. Therefore:
[tex]f^\prime(g(x))\cdot g^\prime(x)=1[/tex]
Solve for g’(x):
[tex]g^\prime(x)=\frac{1}{f^\prime(g(x))}[/tex]
Substituting back f⁻¹(x) for g(x) yields:
[tex](f^{-1})^\prime(x)=\frac{1}{f^\prime({f^{-1}(x)})}[/tex]
Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime({f^{-1}(1)})}[/tex]
We already determined previously that f⁻¹(1) is 0. Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime(0)}[/tex]
According to the table, f’(0) is 0.7. So:
[tex](f^{-1})^\prime(1)=\frac{1}{0.7}=\frac{10}{7}[/tex]
Hence, (f⁻¹)’(1)=10/7.
Part B)
We want to find the equation of the tangent line of y=f⁻¹(x) at x=4.
First, let’s determine the points. Since f(2)=4, this means that f⁻¹(4)=2.
Hence, our point is (4, 2).
We will now need to find our slope. This will be the derivative at x=4. Therefore:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime({f^{-1}(4)})}[/tex]
We know that f⁻¹(4)=2. So:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}[/tex]
Evaluate:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}=\frac{1}{2.8}=\frac{10}{28}=\frac{5}{14}[/tex]
Now, we can use the point slope form. Our point is (4, 2) and our slope at that point is 5/14.
So:
[tex]y-2=\frac{5}{14}(x-4)[/tex]
Solve for y:
[tex]y-2=\frac{5}{14}x-\frac{20}{14}[/tex]
Adding 2 to both sides yields:
[tex]y=\frac{5}{14}x-\frac{20}{14}+\frac{28}{14}[/tex]
Hence, our equation is:
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
A game is played using one die. If the die is rolled and shows 1, the player wins $50. If the die shows any number other than 1, the player wins nothing. Complete parts (a) through (b) below.
a. If there is a charge of $10 to play the game, what is the game's expected value?
Answers
Elena bought 8 tokens for $4.40. At this rate:
How many tokens could she buy with $6.05?
tokens
How much do 19 tokens cost? $
Answers
Answer:
11,10.45
Step-by-step explanation:
4.4/8=0.55
6.05/0.55=11
11*0.55=0.45
Answer:
Read below
Step-by-step explanation:
I whole. 5. Elena bought 8 tokens for $4.40. At this rate: Next Page. Unit 3: Unit Rates and Percentages Lesson 10: What Are Percentages?
Which expression is equivalent to -6(-2/3+2X)?
Answers
Answer:
4-12x
Step-by-step explanation:
-6(-2/3)= 12/3=4
If point C is reflected through the line x=y, what are the coordinates of C?
Answers
Answer:
Is there suppose to be a graph?
If not, if the original coordinates were (x,y) the new ones will be (y,x)
Step-by-step explanation:
The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
What is reflection?A reflection is "geometric transformation results in mirror image".
According to the question,
The point C(x, y) is reflected through the line X - Y = 0.
Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)
The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.
(x-x₁)/1 = -2(x₁ - y₁)/2
x - x₁ +x₁ -y₁ =0
x = y₁.
similarly we get y = y₁
Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
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n ecology, a measure of diversity of a species in a certain population is called the diversity index. The diversity index D is defined as the probability that any two organisms selected at random from the population will be from different species. a. If every organism in a population is from the same species, what is the value of the diversity index D
Answers
Answer: the value of the diversity index D is Zero (0)
Step-by-step explanation:
Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.
Now if the organisms are all from the same species in a population then it is impossible to select two organisms from different species.
That is, we can never select two organisms that are not from the same species.
Hence, we cant fulfil or meet the definition of diversity index .
Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.
What is it then please
Answers
a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
Answer:
6/5+30/5
=6/5+6
=36/5
b)9/2+4/3
=26/6
=13/3
Step-by-step explanation:
Solve the equation 11/15 = w - 8/15
Answers
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C.
m= - 1/4,(-7,0)
The equation of the line in the form Ax+By=C is _________.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Step-by-step explanation:
We need to write an equation of line that have slope m= -1/4 and point(-7,0)
We would use slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given slope m = -1/4 but we need to find y-intercept
Finding y-intercept
Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)
[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]
Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4
[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]
Now converting into form Ax+By=C :
[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
What number am I? I am three digits long. My hundreds digit is an odd number. My tens and ones digit are a multiple of 5. All of my digits equal 16.
Answers
Answer:
925
Step-by-step explanation:
I think ;)
In the decade between 2001 and 2010, real outlays grew by – %. Total (nominal) outlays are now nearly $– trillion per year, or more than $– per U.S. citizen.
Answers
Answer:
37%
$4trillion
$12000
Step-by-step explanation:
What is the sign of −4ab when a>0 and b<0?
Answers
Answer:
A
Step-by-step explanation:
We have the expression:
[tex]-4ab[/tex]
And we want to find its sign given that a>0 and b<0.
Notice that the expression is already negative since we have -4.
a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.
b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.
Therefore, the sign of our expression will be positive.
We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:
[tex]-4(1)(-1)=4[/tex]
So, the sign is positive.
Hence, the answer is A.
Answer:
The answer is A
Step-by-step explanation:
khan said so
please help asap question four
Answers
Answer:
(-5, 17)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Equality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
5x + 3y = 26
-2y = 6x - 4
Step 2: Rewrite systems
5x + 3y = 26
y = 2 - 3x
Step 3: Solve for x
Substitute: 5x + 3(2 - 3x) = 26Distribute 3: 5x + 6 - 9x = 26Combine like terms: -4x + 6 = 26Subtract 6 on both sides: -4x = 20Divide -4 on both sides: x = -5Step 4: Solve for y
Define: -2y = 6x - 4Substitute: -2y = 6(-5) - 4Multiply: -2y = -30 - 4Subtract: -2y = -34Isolate y: y = 17And we have our final answer!
Help plzzzzzzz will give brainliest
Answers
Answer:
7.2
Step-by-step explanation:
Mean is when you add all the numbers together and divide them by the number of values there are in total.
There are 10 numbers, so find the sum of all the numbers and divide by 10.
[tex]\frac{12+8+14+5+1+3+0+8+10+11}{10}[/tex] = 72/10 = 7.2
Cameron is buying movie tickets for himself and 3 friends. He spends $32. How much did each ticket cost
Answers
Answer: 8
32 divided by 4 equals 8
Step-by-step explanation:
Answer:
$10.67
Step-by-step explanation:
$32 divided by 3 is about $10.67, in it's simplest form.
I hope this helped, please mark Brainliest, thank you!! :)
Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?
$
Answers
Answer:
$5.99 per can of gas
Step-by-step explanation:
$23.96 divided by 4 = $5.99
This means that each can of gas is $5.99.
Answer:
$95.84
Step-by-step explanation:
Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.
PLEASE HELP ASAPPPPP
Answers
Answer:
Quadrant 2
Step-by-step explanation: