Answer:
[tex]\displaystyle \text{d. }y=\frac{-6}{x}[/tex]
Step-by-step explanation:
If two values [tex]x[/tex] and [tex]y[/tex] are inversely proportional, their product is always some maintained constant (the product of [tex]x[/tex] and [tex]y[/tex] is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.
Therefore, we can simply find this constant by multiplying the given values of [tex]x[/tex] and [tex]y[/tex]:
[tex]xy=k,\\6\cdot (-1)=-6[/tex]
The constant [tex]-6[/tex] must be maintained as the product of [tex]x[/tex] and [tex]y[/tex] for all values of [tex]x[/tex] and [tex]y[/tex] for them to be inversely proportional. Thus, we have the equation:
[tex]xy=-6[/tex]
Divide both sides by [tex]x[/tex] to isolate [tex]y[/tex]:
[tex]\boxed{y=\frac{-6}{x}}[/tex]
Answer:
d. [tex]\displaystyle y = \frac{-6}{x}[/tex]
Step-by-step explanation:
The fastest way to do this is to simply plug in whatever the exercise gave to you into each answer choise to figure out which one fits the best.
I am joyous to assist you at any time.
Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
5/5*5/10*5/15*5/20*5/25
Answer:
8/20
Step-by-step explanation:
Find the volume of the
rectangular prism.
2 cm
1
8 cm
5 cm
How would I write a number subtracted from 2 times a number is 19
Hurry in need of help! Please
[tex]\\ \sf\dashrightarrow \dfrac{x+20}{2}=3x[/tex]
[tex]\\ \sf\dashrightarrow x+20=2(3x)[/tex]
[tex]\\ \sf\dashrightarrow x+20=6x[/tex]
[tex]\\ \sf\dashrightarrow 20=6x-x[/tex]
[tex]\\ \sf\dashrightarrow 5x=20[/tex]
[tex]\\ \sf\dashrightarrow x=\dfrac{20}{5}[/tex]
[tex]\\ \sf\dashrightarrow x=4[/tex]
help me do this plz
Answer:
X= –10
[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]
I hope I helped you^_^
this whole thing hurts my brain.
Answer:
1.) C. 32
2.) Stem-and-leaf plot
Step-by-step explanation:
This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:
20, 28, 29, 29, 31, 32, 36, 41, 42Now, to find the mean, add up all the numbers and divide the sum by the number of values.
(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32
What is
6+4-3+9x10-7+3x28-2=
Answer:
172
Explanation:
PLZ HELPPPPPPPPPPPPPPP
Riley is asked about her age . She answers as follows . “My age is 3 more than twice the age of my younger brother.” how old is her younger brother if Riley is 35 years old ?
Answer:
Her younger brother is 11 years old
Step-by-step explanation:
35=3+2x
35-3=2x
32=2x
32÷2=2x÷2
11=x
Given g (x)= -x -2 find g (-5)
Answer:
g(-5) = -7
Step-by-step explanation:
given:
[tex]g(x) = -x-2[/tex]
find:
[tex]g(-5) [/tex]
~~~~~~~~~~~~
➡️ [tex] g(-5) = -(-5) - 2[/tex]
➡️ [tex] g(-5) = -(-5 - 2) [/tex]
➡️ [tex] g(-5) = -7 [/tex]
A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.
Find the distance between A and B, AB,
[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]
Next, find the distance between B and C, BC,
[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]
The equation is,
[tex]10=2\sqrt{(t-3)^2+1}[/tex]
[tex]25=(t-3)^2+1[/tex]
[tex]t^2-3t+10=25[/tex]
[tex]t^2-3t-15=0[/tex]
Use quadratic formula to get possible values of t,
[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]
[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]
Hope this helps :)
Find the absolute values
| -7| =7 | -6 | =6
Answer:
7, 7, 6, 6
Step-by-step explanation:
Answer:
6.6.7.7
Step-by-step explanation:
that is we remove the subtract sign (negative sign)
what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square
Its 1
Doubled:-
[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]
Tripled[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]
Solve the following 3x^2+18-81=0
Answer: 9 or 3
Step-by-step explanation:
Step-by-step explanation:
[tex]3 {x}^{2} + 18x - 81 = 0 \\ \\ {x}^{2} + 6x - 27 = 0 \\ (x - 3)(x + 9) = 0 \\ x - 3 = 0 \: \: \: \: \: x + 9 = 0 \\ x = 3 \: \: \: \: x = - 9[/tex]
The school choir ordered 436 pumpkin pies to sell as a fundraiser. The pies were shipped in 4 bins. Each bin held the same number of pies how many pies were in each bin
109 pumpkins
Step-by-step explanation:
I don't think this is right but
Why do both of these show 27,974
In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.
This is a mathematical notation to consistently represent data of a certain set, with numbers or other symbols.In the numbering system that is implemented in India to write numerals. We utilize ten symbols to symbolize the numbers in the Indian Number System.In the Indian system, the next ten powers are known as one, ten, hundred, lakh, ten lakh, crore, ten crores,... etc.Given:
27,974
[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]
Learn more:
brainly.com/question/21751836
Can anyone solve this linear equation with elimination method? Please its important!
Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?
A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325
Answer:
D. - $75Step-by-step explanation:
We mark checks as negative and a deposit as positive:
- 160 + 125- 40Add up to get the total change of:
-160 + 125 - 40 = - 75Correct choice is D
Answer:
Answer :-
Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>
-40 - 35
-75
Option D is correct mate!
The order that took the longest is represented by point…?
This order had___? Cakes and took___ minutes to decorate.
Help please due tomorrow
the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of the house is 1:128
Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128
2. Show that a. the points 3 + i,6,4 + 4i are vertices of right triangle
Answer:
Step-by-step explanation:
[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]
Using the converse of the Pythagorean's theorem, the triangle is right.
Using Pythagorean theorem, the points 3 + i, 6, and 4 + 4i indeed form the vertices of a right triangle.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Let's calculate the distances between the points and then check if the Pythagorean theorem holds for them.
Distance between points A (3 + i) and B (6):
Distance AB = |6 - (3 + i)|
= |6 - 3 - i|
= |3 - i|
= [tex]\sqrt{(3^2 + (-1)^2)[/tex]
= √10
Distance between points A (3 + i) and C (4 + 4i):
Distance AC = |4 + 4i - (3 + i)|
= |1 + 3i|
= [tex]\sqrt{(1^2 + 3^2)[/tex]
= √10
Distance between points B (6) and C (4 + 4i):
Distance BC = |4 + 4i - 6|
= |-2 + 4i|
= [tex]\sqrt{((-2)^2 + 4^2)[/tex]
= √20
Now let's check if the Pythagorean theorem holds for these distances:
Longest side: [tex]BC^2 = (\sqrt20)^2 = 20[/tex]
Sum of squares of shorter sides:
[tex]AB^2 + AC^2 = (\sqrt10)^2 + (\sqrt10)^2[/tex] = 10 + 10 = 20
Since the sum of the squares of the shorter sides is equal to the square of the longest side.
So, the points 3 + i, 6, and 4 + 4i are vertices of a right triangle.
Learn more about Pythagorean theorem here:
https://brainly.com/question/28361847
#SPJ3
If 2x = 2, what is the value of x?
Answer:
1
because 1 times anything is that number!
Step-by-step explanation:
Given the recursive sequence defined by:
tn=5tn-1 + 3tn-2
with ti=2 and t2 = 4
Which of the following would be the first 5 terms of the sequence?
Answer:
2, 4, 26, 142, 788
Step-by-step explanation:
Using the recursive rule and t₁ = 2, t₂ = 4 , then
t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26
t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142
t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788
First 5 terms are 2, 4, 26, 142, 788
What number sentence that means “2 more than 2 times a number" ?
2 + 2n
2/2n
2(2n)
2 - 2n
9514 1404 393
Answer:
(a) 2 + 2n
Step-by-step explanation:
If n represents the number, then "2 times a number" is 2n. Two more than that is ...
2 + 2n
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST!!!
Answer:
6ft by 15ft
Explanation:
L1 = 10 ft
W1 = 4 ft
L2 = L1*(3/2)
W2 = W1*(3/2)
L2 = 10 ft times (3/2) = 15 ft
W2 = 4 ft times (3/2) = 6 ft
I hope this answer helps you out!
5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?
Answer:
P) = 1/2 jawbreaker
simplified P) 3/6 = 1/2 jawbreaker
Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.
as 2/6 + 1/3 = 3/6
1 - 3/6 = 3/6
= 1/2 are the workings.
Step-by-step explanation:
Jelly bean = 1/3 = 2/6
Gumdrop = 1/6
2/6 + 1/6 = 3/6 = the difference of 1
1-3/6 = 3/6
Therefore; P) = 3/6 jawbreaker
1/2ac2 where a =5 and b=2
Answer: 10
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assumed that the [1/2] in [1/2ac2] is a single term and [c2] in [1/2ac2] is b². If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.
Given information
a = 5
b = 2
Given expression
(1/2) · a · b²
Substitute values into the expression
=(1/2) · (5) · (2)²
Simplify exponents
=(1/2) · (5) · (4)
Simplify by multiplication
=(2) · (5)
=10
Hope this helps!! :)
Please let me know if you have any questions
enter the range of values for x:
12x because you multiply it