Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
help please asap just the answers
a = 2 ; b = −1 and c = −3
Answer:
-5/ 3
Step-by-step explanation:
solving 2a - b
= (2 × 2) - (-1)
= 4 + 1
= 5
solving (2a - b)/ c
= 5/ (-3)
= -5/ 3
that is the third option
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
6.) Detemine the value of [tex] \sf{(2a - b) \div c.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶(2a- b)÷c}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶(2(2)-(-1))÷(-3)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶(4-(-1))÷(-3)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶4+1÷(-3)}[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ - \frac{5}{3} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{ \boxed{ \sf{ \red{ - \frac{5}{3} }}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
FIRST ANSWER GETS BRAINLIEST !!!!
16.
What is the solution of the equation 56 = 2.8y ?
a. y = 156.8
b. y = 58.8
c. y = 2
d. y = 20
Answer:
When you solve for y, you get y = 20.
Step-by-step explanation:
You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.
[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:y = \frac{56}{2.8} [/tex]
➝[tex]\:y = 20[/tex]
Therefore, the value of [tex]y[/tex] is 20.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:56 = 2.8 \times 20[/tex]
➝[tex]\:56 = 56[/tex]
➝[tex]\:L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Please help I’ll give brainliest
Answer:
you will subtract the power
Cos (2a) [tg (2a) - tg (a)] = tg (a) Es de identidades trigonométricas y realmente no entiendo ¿me ayudan?
Answer:
Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].
Step-by-step explanation:
A continuación, vamos a emplear las siguientes identidades trigonométricas:
[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)
[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)
Ahora aplicamos estas identidades a la identidad descrita en el enunciado:
[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]
[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]
[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]
[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]
[tex]1 = 1[/tex]
Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960.
Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride
passes sold?
O 2x + 15y = 2,960
O 12x + 5y = 2,960
O 15x + 2y = 2,960
O 17x + 15y = 2,960
Answer:
2x+15y=2960
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Translate to the correct equation: The sum of 24 and three times a number is 57 *
Translate into an inequality: Six less than double a number is less than 18.
Answer:
EQUATION: 24 + 3X = 27. INEQUALITY: 2X - 6 < 18.
Step-by-step explanation:
For the equation:
"A number" means that we do not know what the number is yet. So it is a variable. I chose the variable, "X."
"The SUM of 24 AND" means we are adding 24 to something. So what we have so far is "24 + ..."
"3 times a number" means we are multiplying 3 by the unknown variable X. So 3X. What we have so far is "24 + 3X..."
"is 57" means that everything we've just stated equals 57.
Our entire equation is: 24 + 3x = 27.
For the inequality:
Inequalities mean that two expressions are NOT equal to each other.
"6 less than" means that we subtract 6. So we have,"6 - ..." so far.
"Double a number" means 2 times a number, which we are saying is X. So "2X."
" is less than 18" means that everything we just said is less than the value of 18.
So the whole inequality is: 2X - 6 < 18.
help asap pls -=-=-=-=--------------
Answer:
-1/3
Step-by-step explanation:
at x=0 y= 5
at x=3 y= 4
y=ax+b
b= 5
4=3x+5
3x= -1
x= -1/3
[tex]y = - \frac{x}{3} + 5[/tex]
rewrite the following linear equation in general form
Given:
The linear equation is:
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
To find:
The general form of the given linear equation.
Solution:
The general form of a line is equation is:
[tex]Ax+By=C[/tex]
We have,
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
Multiply both sides by 2.
[tex]2(y+6)=-5(x+4)[/tex]
[tex]2(y)+2(6)=-5(x)-5(4)[/tex]
[tex]2y+12=-5x-20[/tex]
Isolating variable terms, we get
[tex]2y+5x=-20-12[/tex]
[tex]5x+2y=-32[/tex]
Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].
What is the
equation of the graphed line written in
standard form?
O X=-3
O y=-3
O x+y=-3
x-y=-3
Answer:
x = -3
Step-by-step explanation:
This is a vertical line. The x value remains constant.
x = -3
Answer:
x= 5.45 or -5.45
Step-by-step explanation:
The base of a power is...
Answer:
The base of a power is the factor that is repeatedly multiplied by itself.
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
plzzzzzzzzz helpppppp.......
Answer:
I will help ok ok heres ur answer
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
PLEASE ANSWER ASAP Mia randomally surveys students in her middle school to learn about their favorite type of novel. Of 40 respondents, 16 liked to read mystery novels. Based on Mia's data, how many of the 350 students in her middle school like to read mystery novels?
Answer:
140
Step-by-step explanation:
40 divided by 16 = 2.5 . 350 divided by 2.5=140 hope this helped
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
Answer:
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
Step-by-step explanation:
Doughnuts are sold in bags and cartons
A bag holds four doughnuts and a carton holds ten doughnuts
Tom buys B bags of doughnuts and C cartons of doughnuts
He buys a total T doughnuts
Writs down a formula for T in terms of B and C
y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?
HELPPPPP!!!!!!
The kinetic energy of a moving object
equals half of its mass times the square of
its velocity. Write this as an equation, and
solve for the kinetic energy of a baseball
with a mass of 0.14 kilograms traveling 40
meters per second. The kinetic energy is
the unlock number.
Your answer
Answer:
KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]
Step-by-step explanation:
Kinetic Energy (KE) = (1/2)*mass*v^2
KE=(1/2)*.14*40^2
KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]
y = 4x – 18
y = -5x +9
Answer:
(3, -6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 4x - 18
y = -5x + 9
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 4x - 18 = -5x + 9[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9[Addition Property of Equality] Add 18 on both sides: 9x = 27[Division Property of Equality] Divide 9 on both sides: x = 3Step 3: Solve for y
Substitute in x [1st Equation]: y = 4(3) - 18Multiply: y = 12 - 18Subtract: y = -6Answer:
x=3
y = -6
Step-by-step explanation:
y = 4x – 18
y = -5x +9
Set the two equations equal
4x – 18 = -5x +9
Add 5x to each side
4x – 18 +5x= -5x+5x +9
9x -18 = 9
Add 18 to each side
9x -18 +18 = 9+18
9x =27
Divide by 8
9x/9 = 27/9
x = 3
Now find y
y = 4x-18
y = 4*3 -18
y =12-18
y = -6
Find the total travel time: Depart 2:30 pm PST Arrive 7:20 pm CST.
A. 3 hr 40 min
B. 3 hr 50 min
C. 1 hr 50 min
D. 2 hr 50 min
Given:
Depart 2:30 pm PST
Arrive 7:20 pm CST
To find:
The total travel time
Solution:
We know that time in CST is 2 hours more than the time in PST
Depart time = 2:30 pm PST
Convert this time in CST.
Depart time = (2:30+2:00) pm CST
= 4:30 pm CST
We have,
Arrive time = 7:20 pm CST
The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.
7:20 pm - 4:30 pm = 2 hr 50 min
The total travel time is 2 hr 50 min.
Therefore, the correct option is D.
Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0
A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17
Answer:
B and D
Step-by-step explanation:
Find two numbers if their Least Common Multiple, LCM is 100 and their Highest Common Factor, HCF is 5. Give two possible pairs of answers.
Step-by-step explanation:
Let H = HCF(A,B) and L = LCM(A,B)
Then A*B = L*H
Here L*H = 100*5 = 500
Also H <= A ,B <= L
So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.
Here 500 = 2^2 * 5^3
so possible values of A and B are
1 , 500
2, 250
4, 125
5,100
10,50
20,25
(assuming order doesn’t matter.)
so pairs satisfying given condition are → (20,25) and (100,5)
You can write a computer program in language of your choice to do it for other bigger numbers.
Which of the following sets of numbers could not represent the three sides of a right triangle?
Answer:
25, 32, 40 can not form a right angle triangle.
Step-by-step explanation:
By Pythagoras theorem,
⇒ (40)² = (25)² + (32)²
⇒ 1600 = 625 + 1024
⇒ 1600 ≠ 1689
m∠DEF = __because they are_________
Answer:
m∠GDE
alternate interior angles
HELP ASAP
Which of the following is NOT a statistical question?
a. How old are the members of the football team?
b. Who is the captain of the football team?
c. What is the average 40-meter dash time for players on the football team?
d. How tall are the players on the football team?
Answer:
who is the captain of the football team
Step-by-step explanation:
i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is
A store kept track of its total sales for three weeks in a row. This table shows how much money in sales the store earned each week.
How much more money in sales did the store earn in sales in week 2 than in weeks 1 and 3 combined?
$2,519
$2,421
$2,419
$1,294
Week Sales ($)
1 13,674
2 28,473
3 12,380
Answer:
$2419
Step-by-step explanation:
week2 - (week1 + week3) = difference
28473 - (13674 + 12380) = 2419
PLZZ HELPPPP MEEEEE WITH THIS QUESTION!!!!!!!!!!
Answer:
Total cost of meal = $188.60
if he paid 15% and left 15% altogether =15%+15%
=30%
Hence,the total cost will be
= $188.60 * 30/100
=$56.58
I hope this helps
Meagan needs to paint the outside of a box
for an art project. The box is 18 cm by
5 cm by 2 cm. What surface area does she
need to paint?
Surface area of cubic= 2( lb+bh+hl)
Length= 18 cm
Width= 5 cm
Height= 2cm
[tex]s.a = 2(18 \times 5 + 5 \times 2 + 2 \times 18) \\ = 272 \: cm {}^{2} [/tex]
Can someone help me? It's urgent and thank you!
Answer:
6 percent
Step-by-step explanation:
None
Viktoriya solved an equation as shown below. 5 (x minus 2) minus 3 x = 2 (x minus 3) minus 16. 5 x minus 10 minus 3 x = 2 x minus 6 minus 16. 2 x minus 10 = 2 x minus 22. Negative 10 = negative 22. She says that the equation has infinitely many solutions. Which describes Viktoriya's error
Answer:
The conclusion is wrong
Step-by-step explanation:
The following steps are given
[tex]5(x-2)-3x=2(x-3)-16[/tex]
[tex]5x-10-3x=2x-6-16[/tex]
[tex]2x-10=2x-22[/tex]
[tex]-10=-22[/tex]
Required
The error
Going through the steps, we can see that there are no mistakes in any of the step.
However, the conclusion that there are infinitely many solutions is wrong
because the solution actually has no solutions.
Answer:
no solutions
I believe
hope I helped
Step-by-step explanation: