Answer:
x=7
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
2x+8−8=22−8
2x=14
Step 2: Divide both sides by 2.
2x/2=14/2
x=7
Answer:
[tex]x[/tex] = 7
1. 2[tex]x[/tex] + 8 - 8 = 22 - 8
2[tex]x[/tex] = 14
2. [tex]\frac{2x}{2}[/tex] = [tex]\frac{14}{2}[/tex]
[tex]x[/tex] = 7
During the financial crisis of 2008, the price of a barrel of Brent crude oil fell from a high of $140 per barrel to around $50 per barrel. What is the percentage change in the price of oil that occurred during this period? Round your answer to the nearest tenth of a percent.
Answer: 35.7%
Step-by-step explanation:
140$ / 100% = 1.4$ per 1%
Next 50$ / 1.4% = 35.71
Round 35.71 to closest tenth so it would be 35.7
Answer:
Step-by-step explanation:
Right the slope intercept form of the line that passes through (1,-2) and is parallel to the line y=4x+2
jason bought 5 pens and 2 notebooks for $11.91. Martin bought 3 pens and 3 notebooks for 11.34. What is the price of each item?
Answer: Pen=$1.45, Notebook $2.33
Step-by-step explanation:
In order to solve this equation, you must be able to use your substitution propertys. 5x+2y=11.91 and 3x+3y=11.34
Using the first equation, 2y=11.91-5x then y=(11.91-5x)/2. Then substitute.
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6).
c
Find the equations of the three altitudes of the same triangle
Answer:
-1/2x+y-8=0, y-0, 7/6x+y-6=0
Step-by-step explanation:
First we find the slope of side AB:
6-0/0-(-3) =2
Altitude CD is perpendicular to AB:
slope of CD=-1/slope of AB = -1/2
Since the altitude CD passes through the point C(4, 6), using the point-slope form of the equation of a line, the equation of CD is:
y-6= -1/2*(x-4)
-1/2x+y-8=0
This is the required equation of the altitude from C to AB. The rest of the equations are solved in the same way. Good luck!
Find the discounted price:
$40 jacket; 33% discount
Answer:
$26.8
Step-by-step explanation:
To find the discount, you turn the percentage of the discount into a decimal (.33) then multiply it by the original price (40)
$40 x .33 = 13.2
You then subtract the total to the original price of the item (40)
$40 - 13.2 = 26.8
So the discount price of the jacket would be $26.8
Hope this helps!!
-Jerc
A naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet.
What is the position of the submarine relative to the surface of the ocean now?
Answer:
-145
Step-by-step explanation:
-310+165=145
Step-by-step explanation:
i hope u understood it....
picture is attached for you to see
Answer:
a) False
b) True
Step-by-step explanation:
a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.
The assertion that x=1 is necessarily a vertical asymptote is False.
__
b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.
The assertion that x=2 is necessarily a vertical asymptote is True.
_____
The graph shows a simple example of a function that has the given characteristics.
The rate of ___________________ describes how one quantity changes in relation to another.
Step-by-step explanation:
A rate of change describes how one quantity changes in relation to another.Find 5% of $32.68 need some help
Answer:
$1.634
Step-by-step explanation:
5% is 0.05 as a decimal.
We simply multiply to find our value:
32.68 · 0.05 = 1.634
Answer:
$1.63
Step-by-step explanation:
5% = 0.05 or 5/100
32.68.0.05 = 1.634 ≈ $ 1.63
32.68 . 5/100 = 32.68 . 1/20 = 32.68/20 = 1.634 ≈ $1.63
Is 10m equal to 100cm
Answer:
yes
Step-by-step explanation:
in a typical bag of skittles, the ratio of red to yellow skittles is 3 to 7. If there are 40 skittles altogether, how many red skittles are there?
Answer: There will be 12 red skittles and 28 yellow ones.
Step-by-step explanation:
Basically what the problem means is that for every 3 red skittles, there will be 7 yellow ones. Since 7 and 3 add up to ten, all you have to do is multiply both numbers times 4 to keep the ratio.
Change y=9/4x^2+3x-1 to vertex form
Find the general solution of each differential equation. Q1 only.
The implicit equation - ㏑ |x - 1| = ㏑ |y - 2| + C is the solution to the differential equation by separation of variables.
How to solve differential equation
In this problem we find a differential equation of the form M(x) dy + N(y) dx = 0, this can be solved by separation of variables and by using integrals. First, write the differential equation:
(x - 1) dy + (y - 2) dx = 0
Second, separate the variables:
(x - 1) dy = - (y - 2) dx
- dx / (x - 1) = dy / (y - 2)
- ∫ dx / (x - 1) = ∫ dy / (y - 2)
Third, integrate the expression:
- ㏑ |x - 1| = ㏑ |y - 2| + C
To learn more on differential equations: https://brainly.com/question/353770
#SPJ1
Can someone help me plz
2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.
9514 1404 393
Answer:
common factors: 1, 2, 4common multiples: any multiple of 168, including 168, 336, 504, 672Step-by-step explanation:
Common factors of 12 and 56 will be factors of the greatest common factor (GCF) of those numbers. That can be found several ways. One is to list the prime factors of each number, then choose the ones that are common.
12 = 2·2·3
56 = 2·2·2·7
The common factors are 2·2. Of course 1 is always a factor. So, "all common factors" are 1, 2, 4.
__
The least common multiple (LCM) can be figured using the same lists of factors. It must include all of the factors (only as many times as necessary), so will be ...
2·2·2·3·7 = 168
It can also be figured as the product of the two numbers, divided by their GCF:
12·56/4 = 168
Any "common multiple" will be a multiple of this LCM. Some common multiples of 12 and 56 are ...
1·168 = 168; 2·168 = 336; 3·168 = 504
I need help with this math vocab review. You have to unscramble the circled letters to find the riddle on the bottom of the page.
Answer:
it tells you which lessons to go to . did you answer the questions on those pages
Step-by-step explanation:
what is the sign of 3xy when x >0 and y <0
Answer:
negative
Step-by-step explanation:
3xy
3 is positive
x > 0 so it is positive
y < 0 so it is negative
+ * + * -
positive times positive is positive
+ * -
positive times negative is negative
A computer downloaded 20 kilobytes of data in 4 seconds. If it downloads data at a constant speed, it can download ______ kilobytes of data in 15 seconds
Answer:
75 kb
Step-by-step explanation:
Answer:75
Step-by-step explanation:
Divide 20 by 4 to get 5, the number of kb per second, and multiply by 15 to get 75
-0.7x=2.1 answer and with work please?
Answer:
need a answer
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
-0.7x=2.1
x = 2,1 : (-0,7)
x = ( 21/10 ) : (-7/10)
x = -3
I need help with both questions, ill mark brainliest.
Answer:
19. x=15
20. x=22
Step-by-step explanation:
What is the slope of the line through (1,0)(1,0)?
The data was modified to give you a complete explanation and help to solve your problem.
Answer:
[tex]y=1-x[/tex]
Step-by-step explanation:
A line passing through two points
Given two points A(x1,y1) and B(x2,y2), the equation of the line passing through them is:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The question provides the points (1,0) and (1,0). Note both points are the same. They cannot be used because there is not a unique line passing through a single point.
We'll use the points (0,1) and (1,0) instead.
[tex]\displaystyle y-1=\frac{0-1}{1-0}(x-0)[/tex]
[tex]\displaystyle y-1=\frac{-1}{1}(x-0)[/tex]
[tex]\displaystyle y-1=-x[/tex]
Reducing:
[tex]\boxed{y=1-x}[/tex]
What is the area of 60ft
Answer:
the area of 60ft is 60. :]
Step-by-step explanation:
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
a pair of linear functions
a cubic function and a cube root function
a quadratic function and a square root function
a logarithmic function and an exponential function
Answer:
A pair of linear functions
Step-by-step explanation:
A pair of linear function always has an inverse linear function and the linear function always has a domain and range of all real numbers.
-domain and range are always real numbers
-pair of linear functions always have an inverse which has the domain of all real numbers
A pair of linear functions and their inverses will always have a domain and range of all real numbers.
What is function?" Function is defined as the set of all input values have at least one output value."
According to the question,
a. A pair of linear functions : let the function be y = x.
Domain : (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse of linear function is linear domain and range set of all real numbers.
Option A is the correct answer.
b. A cubic function and a cube root function : Let y = x³
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse function , x = ∛y ,
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Option B is not a correct answer.
c. a quadratic function and a square root function :
Domain of square root function: y = √x is [ 0, ∞)
Range of square root function: y = √x is [ 0, ∞)
Domain of quadratic function is (-∞ , ∞) set of all real numbers.
Range : all possible values of y.
Option C is not a correct answer.
D. A logarithmic function and an exponential function :
Domain : ( 0, ∞)
Range : set of all real numbers
Exponential function:
Domain : set of all real numbers
Range : ( 0, ∞)
Option D is not a correct answer.
Hence , Option A is the correct answer.
Learn more about function here
https://brainly.com/question/12431044
#SPJ3
"12 times the difference of a number and 6".
help me please <3
Answer:
12(d-6)
Step-by-step explanation:
Answer:
12n-72
Step-by-step explanation:
You would say 12(n-6) because the difference of a number would be n and the difference is 6. When it says 12 times, then you will multiply it by the numbers in the parentheses.
How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31
To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.
We are given the following measures:
[tex]\sf\:m\angle AB = 56 \\[/tex]
[tex]\sf\:m\angle BC = 59 \\[/tex]
[tex]\sf\:m\angle CD = 63 \\[/tex]
[tex]\sf\:m\angle DE = 63 \\[/tex]
[tex]\sf\:m\angle EF = 31 \\[/tex]
To find the measure of the geometry-big circle, we add up these measures:
[tex]\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\[/tex]
Substituting the given values:
[tex]\sf\:56 + 59 + 63 + 63 + 31 \\[/tex]
Simplifying the expression:
[tex]\sf\:272 \\[/tex]
Therefore, the measure of the geometry-big circle is 272.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
A ball is thrown vertically upward from the top of a building 1600 feet tall with an initial velocity of 80 ft per second. The distance d(t), in feet, of the ball from the ground after t seconds is d(t)=1600+80t-16t^2 . After how many seconds is the ball at its maximum height? Find the maximum height of the ball. How long will it take the ball to hit the ground?
Answer:
1700 feet12.81 secondsStep-by-step explanation:
Function given
d(t)=1600 + 80t - 16t^2Maximum height is the vertex of the parabola, which is achieved at:
x = -b/2aSubstituting values of a and b
x = -80/2*(-16) = 2.5Value of d(2.5):
d(2.5) = 1600 + 80*2.5 - 16*2.5^2 = 1700 ftTime to hit the ground:
1600 + 80t - 16t^2 = 0t^2 - 5t - 100 = 0Solving we get positive root:
t = 12.81 secondsAddison's Auto Wash had revenues of $12 from 2 customers. After serving 3 customers, how
much revenue will Addison's Auto Wash have? Assume the relationship is directly
proportional
Answer:
$36 because 12*3 assuming its proportional
Christine's Penny bank is 1/5 full after she adds 562 pennies it is 7/10 full how many pennies can her bank hold?
Answer:
1,124 pennies.
Step-by-step explanation:
Let x represent the total amount of coins Christine's penny bank can hold.
We know that it is initially 1/5 full. So, the amount of coins in the bank is:
[tex]\frac{1}{5}x[/tex]
We know that she adds 562 pennies in it. So, we will add 562 to our expression:
[tex]\frac{1}{5}x+562[/tex]
And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:
[tex]\frac{1}{5}x+562=\frac{7}{10}x[/tex]
To find out how many coins the bank can hold, we will simply solve for x.
First, let's multiply both sides by 10 to remove the fractions:
[tex]10(\frac{1}{5}x+562)=10(\frac{7}{10}x)[/tex]
Distribute:
[tex]2x+5620=7x[/tex]
Subtract 2x from both sides:
[tex]5x=5620[/tex]
Divide both sides by 5:
[tex]x=1124[/tex]
Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.
And we're done!
Joe uses metal rods to make triangular frameworks in which each side has a different length. He buys metal rods which have lengths 1 meter, 2 meters, 3 meters etc and he always keeps one rod of each length in stock. This diagram shows one of Joe's triangular frameworks.
Check the picture attached.
a, b, c are all integers and c>b> a. That is, c is the longest side, a is the shortest side and a, b, c are whole numbers.
1. How many different triangular frameworks can Joe make which have a longest side 7 meters long? using the rods he has in stock? Show your work.
2. Investigate this situation for other values of c.
3. Write down any generalizations you can make.
1. The number of different triangular frameworks that Joe can make which have a longest side 7 meters long, using the rods he has in stock is 6 triangular frameworks.
2. The value of c cannot be less than 2 and Joe can't use a 1 meter rod.
3. The length triangular frameworks can't be modeled by a single function rule.
What is the Triangle Inequality Theorem?In Mathematics, the Triangle Inequality Theorem is represented by this mathematical expression:
b - c < a < b + c
Where:
a, b, and c represent the side lengths of this triangle.
By applying the Triangle Inequality Theorem to the side lengths of this triangle, we have:
c > b > a
7 > 6 > 57 > 6 > 47 > 6 > 37 > 6 > 27 > 5 > 47 > 5 > 3Part 2.
Next, we would investigate for other values of c such as 8, 6, and 4;
8 > 7 > 6 6 > 5 > 4 4 > 3 > 2
8 > 7 > 5 6 > 5 > 3
8 > 7 > 4 6 > 5 > 2
8 > 7 > 3 6 > 4 > 3
8 > 7 > 2
8 > 6 > 5
8 > 6 > 4
8 > 6 > 3
8 > 5 > 4
Part 3.
Assuming the value of c is even, the number of different triangular frameworks can be modeled by [tex]\frac{(c-2)^2}{4}[/tex]. Assuming the value of c is odd, the number of different triangular frameworks can be modeled by [tex]\frac{(c-3)(c-1)}{4}[/tex].
Read more on Triangle Inequality Theorem here: brainly.com/question/26037134
#SPJ1
I NEEED THIS ANSWER NOW! MWAAATHTHHHHHH!!!! Find the product of the greatest common divisor and the least common multiple of 100 and 120.
Answer:LCM(330, 75, 450, 225) = 4950
Step-by-step explanation:
330 = 2 × 3 × 5 × 11
75 = 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
LCM(330, 75, 450, 225)
= 2 × 3 × 3 × 5 × 5 × 11
= 4950
GCD(330, 75, 450, 225) = 15
