Find the additive inverse of each linear expression
1. 3x - 6
2. -9x + 3
3. -4x -8
Step-by-step explanation:
G(x) = 2/3 x - 6 switch x and y around and solve for y.
y = 2/3 x - 6
x = 2/3 y - 6
x + 6 = 2/3 y
3/2 x + 9 = y
2) Kelly had a picnic each year to celebrate her birthday. The 1st year 50 people came. The 2nd year 30 people came. What is the percent of decrease?
Answer:
40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Multiplying by 0.51 is the same as decreasing by___%
Answer:
The correct answer is 51%
You purchase a t-shirt for $9.55 and a pair of jeans for 18.12 from Old Army at 7% sales tax.
How much change should you receive if you give the cashier two twenty-dollar bills?
Answer:
$10.39 is the change
Step-by-step explanation:
We start by calculating the total score
9.55 + 18.12 = 27.67
we now calculate the sales tax
This is 7% of the total
= 7% of 27.67
7/100 * 27.67
= $1.94
The total now comes;
1.94 + 27.67 = $29.61
The total was 2 * 20 = $40
The change was;
$40 - $29.61 = $10.39
Market researchers were interested in the relationship between the price of bobbleheads and the demand of bobbleheads. Information was collected from a survey and used to obtain the regression equation ŷ = –0.227x + 50.455, where x represents the price of bobbleheads (measured in dollars) and ŷ is the predicted demand of bobbleheads (in units). What is the predicted demand of a bobblehead that has price of $6.00?
–1.362 units
49.093 units
51.817 units
195.837 units
Answer:
49.093
Step-by-step explanation:
Given the regression equation :
ŷ = –0.227x + 50.455
x represents the price of bobbleheads (measured in dollars)
ŷ is the predicted demand of bobbleheads (in units).
Preductwd demand ; when x = 6
ŷ = –0.227(6)+ 50.455
= 49.093
A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with the ground of 71°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.
The base of the ladder needs to be ______ feet away from the wall.
Answer:
5.2 feet
Step-by-step explanation:
It helps if you can make a drawing.
You are looking for the adjacent side of the 71° angle in a right triangle and 15 is the opposite side of the angle.
Let x = the distance from the building to the base of the ladder
Tan 71 = 15/x
xtan71 = 15
x = 15/tan 71 = 5.2 feet
convert the following fractions so that's the denominator is 100 15/20
Answer:
75/100
Step-by-step explanation:
15/20 = x/100
20x = 1500
x = 1500/20
x = 75
2x + 9y = -7
6x - 3y = 9
Answer:
Add the equations together
Step-by-step explanation:
The reason why I know this is because they are all like terms so that would be the smartest choice to do first.
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I need some help with this please
please help!!!i don’t know how to do this
Answer:
Y = 5.63
Step-by-step explanation:
137 = 47 + 16y
16y = 90
y = 5.625
Which expression Is equivalent to x2-17x-60
Need work attached.
Answer:
Step-by-step explanation:
Find the roots of x² - 17x - 60
Quadratic formula
x = [17 ± √(17² – 4·1(-60))] / [2·1]
= [17 ± √529] / 2
= [17 ± 23] /2
= -3, 20
x² - 17x - 60 = (x+3)(x-20)
Answer:
(x+3)(x-20)
Step-by-step explanation:
x^2+3x-20x-60
x(x+3)-20(x+3)
= (x+3)(x-20)
A system of linear equations is shown x-4y=1, 3x+2y=-11 what is the solution to the system of equations
Answer:
x= -3 , y= - 1
Step-by-step explanation:
hope I was able to help:)
PLS HELP WILL MARK BRAINLIST
Answer:
T=39.46
Step-by-step explanation:
13(t+13)=676
multiply 13 by t and by 13
then you will have 13t + 169=676
isolate the variable
13t + 169= 676
substract 169 from both sides
13=507 divided both side by 13
T=39
What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent
Answer:
64.58
Step-by-step explanation:
Answer:154.84%
Step-by-step explanation:
........
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Answer:
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Mr. Fry is building a fence around his pool.
•Length of the fence is 60 feet.
•Width of the fence is 30 feet.
How many yards of fence will Mr. Fry build?
Answer:
30 yards of fence
Step-by-step explanation:
First, convert 60 feet to yards and 30 feet to yards. Remember, 1 foot= 3 yards.
60/3= 20 yards
30/3= 10 yards
Then you add the length and the width of the fence (in yards) to find the total yards of fence.
20+ 10= 30 yards of fence
Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term is greater than the fourth term by 560. (Note: there should be 3 different possible geometric sequences)
Answer:
-35/3, -140/3, - 560/3, -2240/37, -28, 112, - 448Step-by-step explanation:
The terms are:
a₁, a₂, a₃, a₄Given:
a₁ = a₂ + 35a₃ = a₄ + 560Use the nth term formula:
a₂ = a₁ra₃ = a₁r²a₄ = a₁r³Substitute:
a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560Divide the second equation by the first:
r² = 560/35r² = 16r = √16r = ± 4Use the first equation to find the first term:
a₁( 1 ± 4) = 351. a₁ = 35/-3 = -35/32. a₁ = 35/5 = 7We have two sequences:
r = 4
-35/3, -140/3, - 560/3, -2240/3r = -4
7, -28, 112, - 448a skier is going down a slope that measures 3,500 feet long. by the end of the slope, the skier has dropped 1,400 vertical feet. to the nearest degree, what is the angle, A , of the slope?
Help me please!!!!!!!
Answer:
900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³
Answer:
total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2
=18/20=9/10ft³
I think
aNoThEr qUeStiOn tO bRiNg mY gRaDeS uP // Ill mark brainliest ^^
Answer:
[tex]\boxed {\boxed {\sf b=60 \ meters}}[/tex]
Step-by-step explanation:
This is a right triangle because of the small square in the corner representing a 90 degree angle.
Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.
[tex]a=80 \\b=b \\c=100[/tex]
[tex](80)^2+b^2=(100)^2[/tex]
Solve the exponents.
(80)²=80*80= 6400 (100)²= 100*100= 10000[tex]6400+b^2=10000[/tex]
Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.
[tex]6400-6400+b^2=10000-6400\\b^2=3600[/tex]
Take the square root of both sides.
[tex]\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m[/tex]
The missing leg is 60 meters.
Which measurement is closest to the area of the circle in square centimeters ? A. 31.4cm² B. 78.5cm² C.62.8² D.50.2cm²
Answer: it’s a
Step-by-step explanation: took the test got it right
The required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Here,
Let the radius of the given circle be r = 5 cm
Area of the circle = πr²
Substitute the value in the above expression,
Area of the circle = π 5²
Area of the circle = 78.5cm²
Thus, the required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
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Simplify the expression.
-4i(2+3i)
Answer:
-8i + 12
Step-by-step explanation:
-4i(2 + 3i) = -8i - [tex]12i^{2}[/tex] = -8i - 12 * (-1) = -8i + 12
Answer:
12−8i
Step-by-step explanation:
-(-4 *3+4*2i)
-4*3=12
4*2=8
=12-8i
anyone help me i really need it anyone helpful
Answer:
(photo)
Step-by-step explanation:
Since the b in the format is +3 you would have to graph it on the positive three on the y axis then you graph the rise/ run which is 3x
Book price $ 60. The book went up in price on the 15th
%.
What is the price of the book after the price increase?
Answer:
$69
Step-by-step explanation:
Price of book after the price increase
= 60 + 15% of 60
= 60 + 0.15*60
= 60 + 9.0
= $69
True or False: The formula to derive pi is: pi = circumference divided by radius
Compare multiplying a number by 3 and by 1 third. *
Answer:
Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.
A local hamburger shop sold a combined total of 568 hamburgers and cheeseburgers on Sunday. There were 68 more cheeseburgers sold then hamburgers. How many hamburgers were sold Sunday.
Answer:
250 hamburgers were sold on Sunday
My friend owns her own store. She gets her clothing for
$24 a piece. She sells them at her store for $49.99. What
is her percent increase?
Round to the nearest percent.
O 48%
O 51%
O 8%
O 108%
Answer:
108 %
Step-by-step explanation:
Answer:
51%
Step-by-step explanation:
(Amount of change/original value)
25.99÷49.99=0.51
A machine fills 75 bottles of water each minute. Write an equation to represent the number of bottles b of water the machine can fill in m minutes.
Answer:
b = 75m
Step-by-step explanation:
n
Which function is shown in the graph below?
y
10
8
6
4
2
-10 -8 -6 -4 =22
2.
4
B
8-10 x
-6
-8
-10
(1)x+3
Answer:
Step-by-step explanation:
The solution is, The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
For this case we observe the cut point with the y axis in:
(0, 7)
The function that complies with this is:
y = 2 ^ (x + 2) +3
We have then:
y = 2 ^ (0 + 2) +3
y = 2 ^ (2) +3
y = 4 + 3
y = 7
Answer:
The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
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