Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
[tex]\frac{90}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
15 = x
Therefore, the x is 15.
Melody lives 30 miles due south of her cousin's house and 40 miles due west of her grandparents' house. One day, she drove to her cousin's house in a straight line from her grandparents' house. How far did she drive?
Answer:
It’s 70 bc from cousin to her house is 30. From grandparents to her house is 40. To find the distance from cousins house to grandparents house u add 30 miles and 40 miles. This should give a total distance of 70 miles from cousins to grandparents.
Step-by-step explanation:
Hope this helps
Jessie orders boxes of 12 muffins for $8 each. The delivery cost is $9 regardless of the number of boxes ordered. Jessie has only $75 to spend. If b is the number of boxes of muffins ordered, then the cost per muffin, C, can be modeled as a function of b. Select the statement that correctly describes the domain of the function. A The domain is the set of all integers 1≤b≤8. B The domain is the set of all integers 1≤b≤9. C The domain is the set of all real numbers 1≤b≤8. D The domain is the set of all real numbers 1≤b≤9.
Answer:
B. The domain is the set of all integers 1≤b≤9
Step-by-step explanation:
Answer:
The correct answer is B) The domain is the set of all integers 1≤b≤9.
Step-by-step explanation:
B represents the number of boxes of muffins ordered and C represents the cost per muffin. Answer B correctly describes the domain of the function
What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2
Answer:
x=5
Step-by-step explanation:
log2^32=x
log2^2^5=x
5 log 2^2=x
5(1)=x
x=5
Suppose the x-axis of a density graph represents someone's weight in
pounds. If the area under the density graph from 120 pounds to 140 pounds
is 0.28, what is the probability of someone's weight being anywhere from 120
pounds to 140 pounds?
A. 52%
B. 34%
C. 46%
D. 28%
Answer: .28
Step-by-step explanation:
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $35. For one performance,
there were 65 tickets sold in all, and the total amount paid for them was $2125. How many tickets of each type were sold?
Answer:
30 $15 tickets and 20 $35 tickets
Step-by-step explanation:
help me with right answer plz
Answer:
13.5
Step-by-step explanation:
area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
decompose 6x/(x-4)(x+2) into partial fractions
Answer:
We can write the equation
Step-by-step explanation:
(x+4)
2
3x+15
=
(x+4)
2
3(x+4)+3
(x+4)
2
3(x+4)+3
=
(x+4)
3
+
(x+4)
2
3
So, there are total 2 terms.
Partial fraction decomposition of 6x/(x-4)(x+2) is 4/(x-4) + 2/(x+2)
What is partial fraction decomposition?In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction is an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.
Given, expression
6x/(x-4)(x+2)
Creating fraction template using denominator (x-4)(x+2) :
6x/(x-4)(x+2) = A/(x-4) + B/(x+2) ------(1)
Multiplying with (x-4)(x+2) on both sides
6x(x-4)(x+2)/(x-4)(x+2) = A(x-4)(x+2)/(x-4) + B(x-4)(x+2)/(x+2)
6x = A(x+2) + B(x-4)
Roots of the denominator are x = 4, -2
Putting x = 4,
6(4) = A (4+2) + B (4 - 4)
24 = 6A
A = 4
Putting x = -2
6(-2) = A (-2+2) + B (-2 - 4)
-12 = -6B
B = 2
Substituting value of A and B in equation 1
6x/(x-4)(x+2) = 4/(x-4) + 2/(x+2)
Hence,
4/(x-4) + 2/(x+2)
is the partial fraction decomposition of 6x/(x-4)(x+2).
Learn more about partial fraction decomposition here:
https://brainly.com/question/29177355
#SPJ2
the Scientific notation 2 times 10^10-2 has what value. 0.02 0.002 0.2 0.0002
Answer:
.02
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm pretty sure your equation looks like this:
[tex]2*10x^{10-2}[/tex]
Lets break it down,
First i will subtract the [tex]^{10-2}[/tex] in the equation
=8
new equation:
[tex]2* 10^{8}[/tex]
=200,000,000
Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
Convert the decimal 0.83 to a fraction, and classify it as either rational or irrational
Answer:
83/100, rational
Step-by-step explanation:
A rational number is a number that ends. Even if it has decimals, the decimals have to end. 0.83 is a rational number because it doesn't continually go on.
To write it into a fraction, the easiest way is to take it out of a hundred, like a percentage.
Answer:
83/100
Rational.
Step-by-step explanation:
0.83 can be converted to a fraction.
83/100
The fraction cannot be simplified further.
It is rational because it can be written in the form p/q, where p and q are whole numbers.
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)
Answer:
the point slope form is
y + 1= -3(x - 10)
solution is c
Imagine math help, which one is it?
Answer:
(k,k)
Step-by-step explanation:
slope of line=1
so x=y
y=k
x=k
Hence point is (k,k)
Answer:
it is number three
Step-by-step explanation:
because
What is a common reason for filing a 1040X?
A.
not using a tax preparer to file the initial return
B.
leaving off the cents of a dollar value
C.
forgetting to include miscellaneous income earned
D.
signing the form in blue ink
Answer:
c forgetting income
Step-by-step explanation:
qweddcs
Simplify. ( w^2/-3u^4)^2. Write your answer without parentheses.
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
2x + 3y = 6
- 4x + 3y = 12
Answer:
D. [tex]x=-1, y=2\frac{2}{3}[/tex]
Step-by-step explanation:
Solving for x:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
Subtract 6 from both sides
2x-6= -3y
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
Subtract 12 from both sides
-4x-12= -3y
Combine equations:
-4x-12=2x-6
Add 4x to both sides
-12=6x-6
Add 6 to both sides
-6=6x
6x= -6
Divide both sides by 6
x= -1
Solving for y:
2x+3y=6
Subtract 3y from both sides
2x= -3y+6
-3y+6=2x
Multiply both sides by -1
3y-6= -2x
Multiply both sides by 2
6y-12= -4x
-4x+3y=12
Subtract 3y from both sides
-4x= -3y+12
-3y+12= -4x
Combine equations:
6y-12= -3y+12
Add 3y to both sides
9y-12=12
Add 12 to both sides
9y=24
Divide both sides by 9
y= [tex]2\frac{2}{3}[/tex]
Answer:
x=−1,y=2
3
2
Step-by-step explanation:
x=-1,y=2 2/3
Penny earns $580 more than half of Karen´s salary. If p represents Penny´s salary, write an expression that represents the amount of money Karen earns in relation to Penny.
Answer:
[tex]\frac{p}{2} + $580[/tex]
Step-by-step explanation:
p = Penny's salary
Karen's salary = $580 more than half of p
We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.
Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .
Answer:
heyyyy
Step-by-step explanation:
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
4.3cm round to 3 decimal places?
Answer:
0.4
Step-by-step explanation:
4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2
Answer:
y = 3x-7
Step-by-step explanation:
Lines that are parallel have the same slopes.
y = 3x-4 ---> y=mx+b (slope = m=3)
point-slope formula for a line: y - y1 = m(x-x1)
slope=m=3
(3,2)----> (x1,y1)
y - 2 = 3(x-3)
y - 2 = 3x-9
y = 3x-7
which expression is equivalent to -12 (3 x - 3/4)? HELP!!!!! ASAP!! 12 POINTS OR MORE!!!!!!! FIRST CORRECT GETS BRAINLIEST!!!!! see answer choices below
Answer:
-36x +9
Step-by-step explanation:
-12 (3 x - 3/4)
Distribute
-12 *3x -12 * -3/4
-36x +36/4
-36x +9
Answer:
-36x+ 9
Step-by-step explanation:
please choose me mine is correct you just multiply them
(35–34)(33+32) is divisible by 24;
problem decoded dude
answer is in attachment
If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
Find the difference.
(4x2 - 6x+8) - (3x2 - 6x + 2)
Answer:
x² + 6
Step-by-step explanation:
(4x² -6x + 8 )- ( 3x² -6x +2 )
4x² -6x +8 - 3x² + 6x -2
now group like terms
4x² -3x² -6x +6x +8-2
⇒ x² +6
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For
one performance, 40 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $1900. What was the price of each kind of
ticket?
Answer:
advance tickets $30.00
same day tickets $35.00
Step-by-step explanation:
1. In this equation, you are trying to find two values so you must use system of equations. Your two equations would be:
40x +20y = 1900
x + y = 65
x represents the price of advance tickets and y represents the price of same day tickets.
2. Solve the equation by performing elimination using multiplication. Multiple one equation by a constant to get two equations that contain opposite terms.
40x + 20y = 1900
-40(x + y = 65) → -40x + -40y = -2600
3. Add the equations, eliminating one variable. (add -40x + -40y = -2600 to 40x + 20y = 1900)
40x + 20y = 1900
+ -40x + -40y = -2600
Results in: -20y = -700
Solve for y by dviding both sides by -20.
y = 35
4. Substitute the solved value into one of the equations and solve for the remaining variable.
x + 35 = 65
Subtract 35 from both sides to solve for x.
x = 30
The advance tickets were $30.00 and the same day tickets were $35.00.
2x − 5y = 16
3x + 2y = 5
can you also explain how you did it. Thanks :)
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
Step-by-step explanation:
Which table represents a direct variation function?
I’m timed plz answer!!! Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answer:
C
Step-by-step explanation:
bc i said so i think
Answer:
C
Step-by-step explanation:
C
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer: C, It stays the same.
Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.
Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°
Answer: 44°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°
If your polygon has six sides, the final angle will be:
= 360 - (63 + 64 + 82 + 49 + 58)
= 360 - 316
= 44°
The picture shows a green parallelogram split into 8 equal parts and an orange parallelogram split into 4 equal parts. Drag figures to each box so that their total area is equal to the number given.
Answer:
the answer is in the imagen
Step-by-step explanation: