We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :
[tex]m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5[/tex]
So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.
30/+240 = 50/ - 160
Answer:
false
Step-by-step explanation:
they are not the same answer so 30/240 = 50/-160 is false
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500. Their down payment is what percent of the purchase price? What percent of the purchase price would a $67,500 down payment be?
Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the purchase
i.e 15,000 x 100/ 150,000= 10%
Also for the second part, multiply the down payment by 100 and divide by the purchase price
i.e 67,500 x 100 / 150,000= 45%
Step-by-step explanation:
2•( 4 • 5 ) = (2 • 4 ) • 5 is an example of which property
1. Identity
2. Associative
3. Commutative
4. Inverse
Answer:
Communitive property of multiplication :)
Step-by-step explanation:
The sum of two numbers is 72, and their difference is 40. Find the numbers.
Answer:
56 and 16
Step-by-step explanation:
Set up equations!
x+y=72
x-y=40
You can solve for this by crossing out y as it becomes eliminated. You are left with 2x= 112. Then solve, so x= 56. Take 56 for x and plug it into one of the equations and solve for y. 56-y=40-----> y= 16. The numbers are 16 and 56.
Using a system of equations, it is found that the numbers are 16 and 56.
The numbers are unknown, so we are going to call them x and y.Their sum is of 72, thus:
[tex]x + y = 72 \rightarrow y = 72 - x[/tex]
Their difference is of 40, thus:
[tex]x - y = 40[/tex]
Since [tex]y = 72 - x[/tex]
[tex]x - (72 - x) = 40[/tex]
[tex]2x = 112[/tex]
[tex]x = \frac{112}{2}[/tex]
[tex]x = 56[/tex]
Then:
[tex]y = 72 - x = 72 - 56 = 16[/tex]
The numbers are 16 and 56.
A similar problem is given at https://brainly.com/question/24778333
Maggie claims that the function g(x) = - 4 is the inverse of the function of f(0) = 3a + 4.
Which statement provides a correct analysis of Maggie's claim?
Maggie's claim is correct because if you add 4 to g(x) and then multiply it by 3 you get
f(x)
Maggie's claim is correct because when g(x) is substituted into every occurrence of x
O in f(x), f(g(x)) = x, and when f(x) is substituted into every occurrence of x in g(x),
g(f(x)) = x
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
O x in f(x). ; therefore, g(x) is not the inverse of f(x), f(g(x))=x-8; therefore, g(x) is not the
inverse of f(x)
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
x in f(x), f(g(x)) = x; therefore, g(x) is not the inverse of f(x).
The inverse of a function reverses the operation of a function
The statement that provides the correct analysis of Maggie's claim is the following option;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Question: The functions in the question are presented as follows;
[tex]g(x) = \dfrac{x}{3} - 4[/tex]
f(x) = 3·x + 4
Required:
The statement that provides a correct analysis of Maggie's claim
Solution:
The inverse of f(x) is found as follows;
y = 3·x + 4
[tex]x = \dfrac{y - 4}{3}[/tex]
Therefore;
[tex]f^{-1}(x) = \dfrac{x - 4}{3}[/tex]
The inverse of a function above was found by making x the subject of the
function f(x), therefore, when the inverse f⁻¹(x) is substituted into all
occurrence of x in f(x), we get x
However, when g(x) is substituted into every occurrence of x in g(x), we get;
[tex]f \left (g(x) \right) = 3 \times \left (\dfrac{x}{3} - 4 \right)+ 4 = x - 8 \neq x[/tex]
Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Learn more about inverse of a function here:
https://brainly.com/question/4218791
Teds basket contains five apples each weighing 7 1/4 oz Robin's basket contains 6 apples each weighing 6 1/2 oz whose basket is heavier and by now how much
Answer:
Robin's basket!
Step-by-step explanation:
Ted's
7 1/4 * 5 = 36 1/4
Robin's
6 1/2 * 6 = 39
WHat are 3 possible solutions for this inequality 2/3(6x-3)>6
Answer:
Step-by-step explanation:
2/3(6x-3)>6
4x-2>6
4x>8
x>2
Anything more than 2, so 3,4,5, etc
35% of the spectators at a baseball match are New York Yankees fan and the rest are Boston Red Sox fan. 30% of the fans in both teams are females. What person of the fans are both male and Boston Red Sox fan?
Answer:
Step-by-step explanation:
At a Baseball Match.
35% of spectators are New York Yankees fan
The rest are Boston Red Sox fan = 100 - 35% = 65%
30% of fans in both teams are females.
30% of 35% of spectators are New York Yankees fan = 0.105 females
30% of 65% of spectators are Boston Red Sox fan = 0.195 females
The number of males in New York Yankees fan = 1 - 0.105 females
= 0.895 males
The number of males in Boston Red Sox fan = 1 - 0.195 females
= 0.805 males
Find the number that makes the ratio equivalent to 7:4.
:48
Answer:
84:48
Step-by-step explanation:
7:4 = x:48
7*48 = 4x
7*48/4 = x
x = 7*12 = 84
So, the equivalent ratio is 84:48
A chef makes a fruit salad using pears and mangos. Pears and mangos each cost $2.25 per fruit. The chef buys x pears and y mangos. Which two expressions represent the chef's cost of making the fruit salad?
Answer:
P=2.25x-----------1
M=2.25y----------2
Step-by-step explanation:
Step one:
given data
we are told that the cost of pears= $2.25 each
and cost of mango= $2.25 each
Step two:
the chef bought x pears and y mangoes
let the total cost of pears be P
and for mango be M
P=2.25x-----------1
M=2.25y----------2
PLEASW HELP/ ILL MARK BRAINLIEST
Answer:
The other answer is right. I got it wrong.
Step-by-step explanation:
Answer:
The rate of change in graph b is greater than the rate of change in graph a
Step-by-step explanation:
The rate of change is slope. The rate of change in B is three, and the rate of change in A is 2.
Which expressions are equivalent to 7(-3/4x-3)
1:-5 1/4x -21
2:-7 3/4x -7(3)
3:6 1/4x -21
4:6 1/4x-4
5:7 (-3/4x)-7(3)
D
I think it is D (-3/4x)-7(3)
can you please help if u can thanks
Answer: I will help you but if you try first.
Step-by-step explanation:
Answer:
y = 4x + 3
[ x ][ -2 ][ -1 ][ 0 ][ 1 ][ 2 ]
[ y ][ -5 ][ -1 ][ 3 ][ 7 ][ 11 ]
y = 4(-2) + 3 y = 4(-1) + 3 y = 4(0) + 3 y = 4(1) + 3 y = 4(2) + 3
y = -8 + 3 y = -4 + 3 y = 0 + 3 y = 4 + 3 y = 8 + 3
y = -5 y = -1 y = 3 y = 7 y = 11
Choose the correct sign to compare the two fractions. Use the models to help. 1/3 shaded part of a column and the other column 5/6 shaded of a column
Answer: greater than or <
Step-by-step explanation:
It’s < on edgen. For the comparing unlike fractions using models section.
Can someone pls help me ASAP :/
Answer:
d
Step-by-step explanation:
...........
..........
correct ans is D
Ethan bought 8 books for a total of $32. At this rate, what is the cost of 12 books?
Answer:48 dollars
32 divided by 8= 4 dollars each.
12 books multiply by 4 dollars a book to get 48 dollar.
Answer:
$48
Step-by-step explanation:
You take 32 divided by 8 and get 4. Now take that 4 times 12 and get 48. Which makes it so you get 12 books for $48 dollars.
Evaluate the expression 3 4/5 x − 2 1/2 for x = − 10
Answer:
- 81/2 or -40 1/2
Step-by-step explanation:
3 4/5 (-10)-2 1/2
PLS HELP find the values of x, y and z..pls
Step-by-step explanation:
8x-7+3x-11=180
11x-18=180
x=18
2y+23=4y+8
2y=15y=15/2
4y+8=3z²-5
y=15/2=> 30+8=3z²-5
43=3z²
z=±√(43/3)
Find the value of x when 6-3x= 5x-10x+20
Answer:
7
Step-by-step explanation:
What is slope-intercept form ?
Answer:
that means it goes through the y axsis
Step-by-step explanation:
it is a y entercept sorry wrong thing
Answer:
It is y = mx + b.
m is slope, x is the number of times slope occurs, b is y intercept.
An example would be y = 3x + 4. The "+" could also be a "-".
Please mark me Brainliest, I need it to move onto the next level.
(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
Answer:
[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)[/tex]
Remove parentheses: (a)=a
[tex]=-t^4-5t^3-10t^2+9t^3+3t^2-1[/tex]
Group like terms
[tex]=-t^4-5t^3+9t^3-10t^2+3t^2-1[/tex]
Add similar elements
[tex]=-t^4-5t^3+9t^3-7t^2-1[/tex] ∵ [tex]-10t^2+3t^2=-7t^2[/tex]
Add similar elements
[tex]=-t^4+4t^3-7t^2-1[/tex] ∵ [tex]-5t^3+9t^3=4t^3[/tex]
Thus, the equivalent expression in simplified form:
[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]
Un inventor recibe ofertas de dos compañías por su tecnología y tiene que decidir cuál es la mejor oferta, tomando como punto de referencia su posibilidad de invertir al 14% anual. Oferta 1: $150.000 hoy y $200.000 dentro de 10 años. Oferta 2: $30.000 al final de cada uno de los próximos 10 años.
Answer:
La oferta 2 oferce el mayor valor final. Es la que debería ser aceptada.
Step-by-step explanation:
Dada la siguiente información:
Oferta 1:
$150.000 hoy y $200.000 dentro de 10 años.
Oferta 2:
$30.000 al final de cada uno de los próximos 10 años.
Tasa de interés= 14%
Para decidir cuál de las dos ofertas es mejor, debemos calcular el valor final:
Oferta 1:
VF= VP*(1+i)^n
VF= 150.000*(1,14^10) + 200.000
VF= $2.261.523,48
Oferta 2:
VF= {A*[(1+i)^n-1]}/i
A= cash flow anual
VF= {30.000*[(1,14^20) - 1]} / 0.14
VF= $2.730.747,83
Need help asap pic included
Answer:
3rd number line
Step-by-step explanation:
WILL GIVE BRAINLIEST graph y=3x-5 using a table (show your work pls)
Answer:
Step-by-step explanation:
i graphed it and made a table for ya :)
Simplify the expression.
8k - 2(4 - 3k)
Answer:
14k-8
Step-by-step explanation:
8k - 2(4-3k)
distributive property
8k - 8 + 6k
add like terms
8k + 6k -8
14k - 8
14k - 8
If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.
Answer
14k-8
Step-by-step explanation:
combine like terms
HOW MANY ZEROS WILL BE IN THE PRODUCT OF 5 TIMES 10EXPONT OF 5 EXPLAIN HOW YOU KNOW
Answer:
50 Zeros
Step-by-step explanation:
Since 10 is the exponent number and 5 is the base, then 5 would be written out 10 times but since you multiply that by 5, it's 50 zeros in total
Answer:
5 zeros because 5 × 10 is 50 if you multiply 5 by 10 5 times then there are 5 zeros.
Step-by-step explanation:
Write five different fractions that each simplify to two-fifths.
[This form is blank.]
Donna earns $73.50 for 6 hours of gardening. Mac
earns $97.60 for 8 hours of gardening. Who earns more
per hour? How much more?
An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° f what is the rate of the temperature change in degrees Fahrenheit per foot complete the steps below to answer the question
Given :
An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° F.
To Find :
The rate of the temperature change in degrees Fahrenheit per foot.
Solution :
Let, rate of the temperature change in degrees Fahrenheit per foot is x.
So,
[tex]x = \dfrac{20}{1000}\ ^oF/foot\\\\x = 0.02 ^oF/foot[/tex]
Therefore, rate of the temperature change in degrees Fahrenheit per foot is 0.02.
Hence, this is the required solution.
Answer:
this is really late, but for the people who need it now the real answer is
Step-by-step explanation:
The airplane is rising, so the change in elevation is +1,000 feet. The temperature is dropping, so the change in temperature is -20 degrees Fahrenheit.
-------------------------------------------------------------------------------------------------------------this is edmentum's sample answer so make sure to word it differently.
Question 5 (1 point)
It is currently 84 degrees outside. If the temperature drops 2 degrees every hour, what equation
represents the temperature () after any number of hours (x)?
Answer:
[tex]T(x)=84-2x[/tex]
Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:
[tex]\mathbf{T(x)=84-2x}[/tex]
This is the linear equation that represents the described situation.