Answer:
x = 0
Step-by-step explanation:
Solve 2x - 3y = 3 for x:
[tex]2x - 3y = 3[/tex] [tex]2x - 3y + 3y = 3+ 3y[/tex] (add 3y to both sides)[tex]2x = 3y + 3[/tex] [tex]\frac{2x}{2} = \frac{3y+3}{2}[/tex] (divide both sides by 2)[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex]Substitute 3/2(y) + 3/2 for x in 5x - 4y = 4
[tex]5x - 4y = 4[/tex] [tex]5(\frac{3}{2}y + \frac{3}{2}) - 4y = 4[/tex] [tex]\frac{7}{2}y + \frac{15}{2} = 4[/tex] (simplified both sides of equation)[tex]\frac{7}{2}y + \frac{15}{2} - \frac{15}{2} = 4 - \frac{15}{2}[/tex] (subtract 15/2 from both sides)[tex]\frac{7}{2}y = -\frac{7}{2}[/tex] [tex]\frac{7}{2}y * \frac{2}{7} = \frac{-7}{2} * \frac{2}{7}[/tex] (multiply both sides by 2/7)[tex]y = -1[/tex]Substitute -1 for y in x = 3/2(y) + 3/2
[tex]x = \frac{3}{2}y + \frac{3}{2}[/tex] [tex]x = \frac{3}{2}(-1) + \frac{3}{2}[/tex] [tex]x = -\frac{3}{2}+ \frac{3}{2}[/tex] (simplified both sides of equation)[tex]x = 0[/tex]Therefore, the value of the x-variable is 0.
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
Sam invests a sum of money into an account that pays 3%
compound interest per annum.
Work out after how many years Sam will have doubled his investment.
Give your answer as a whole number of years.
Answer: It would take 24 years to double your investment.
Hope this helps!
Sam will have doubled his investment for 33 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sam invests a sum of money into an account that pays 3%
compound interest per annum
We need to find how many years Sam will have doubled his investment.
With C your initial capital, k the interest rate and t the number of years. Since k is given as a simple interest rate, you’re essentially trying to solve :
C(1+tk)=2C
With a little bit of algebra, you should find that:
t=1/k
k=3%=0.03
t=1/0.03=33.33=33 years.
Hence, Sam will have doubled his investment for 33 years.
To learn more on Percentage click:
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lol sorry again. need #2 for this assignment
Answer:
r=1
Step-by-step explanation:
13/20=3/4r-1/10r
multiply by 40
26=30r-4r
26r=26
r=1
equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=x-1
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negativeThe most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way
First, we'll need to find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have two points, which is needed, but let's label their values in order to avoid any confusion:
[tex]x_1= 7\\y_1=6\\x_2=-2\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-6}{-2-7}[/tex]
Subtract the numbers
m=[tex]\frac{-9}{-9}[/tex]
Divide
m=1
The slope of the line is 1
So far, we can write the equation of the line as this:
y=1x+b, or y=x+b
We'll need to find b
As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b
Taking (7, 6) for instance, substitute 7 as x and 6 as y:
6=1(7)+b
Multiply
6=7+b
Subtract 7 from both sides
-1=b
Now substitute -1 as b:
y=x-1
Hope this helps!
How far is it around the perimeter of crater lake?
A car travels 15 miles per gallon of
gas. Write an equation that shows the
relationship between miles (y) and
gas (x).
A. y = tx
B. 15x = y
C. 15 = yx
D. 15y = x
Answer:
15x = y
Step-by-step explanation:
15 times the gallons of gas = miles
15x = y
Express 4 inches to 3 feet as fraction in simplest form.
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
The quantities must be in the same measure
3 feet = 3 × 12 = 36 inches ( 1 foot = 12 inches )
Then
fraction = [tex]\frac{4}{36}[/tex] = [tex]\frac{1}{9}[/tex]
The angles featured below are ______ angles
Answer:
its normall
Step-by-step explanation:
graph using the slop and y intercept
Answer:
the slop is -1/2 and they y intercept 2
15. Describe and correct the error in finding the intercepts of the graph of the equation.
Х
6x + 9y
= 18
6x + 9(0) = 18
6x = 18
6x + Oy 18
6(0) + 9y = 18
9y =
= 18
X = 3
y = 2
The x-intercept is at (0,3), and the y-intercept is at (2, 0).
Answer:
Wrong order!
Step-by-step explanation:
There's a reason why coordinates are called an "ordered pair", and for every point (a, b) a is the x coordinate and b is the y coordinate. The calculations are correct, the way reporting them are not: the point should be (3.0) and (0,2) - in fact, all points on the x axis are of the form (p, 0) and all points on the y axis of the form (0,q)
If r = 32 and t = 8, what is the value of the following expression?
r + 56 ÷ t · 5
r + 56 ÷ t · 5
A.
79
B.
67
C.
55
D.
75
Answer:
The answer is B.
Step-by-step explanation:
r + 56 ÷ t · 5
= 32 + 56 ÷ 8 · 5
= 32 + 7 · 5
= 32 + 35
= 67
Help someone please just one and 2 that is all whoever answers 1 and 2 correctly, will get marked their answer the brainliest please
Answer:
Step-by-step explanation:
Which graph shows the solution to the inequality -3x-7 <20?
.
-10
-5
5
10
O
-10
-5
0
5
10
o
-10
0
5
10
-10
0
5
10
Answer:
Second choice.
Step-by-step explanation:
Option 1: solve the inequality. Add 7 to both sides, and multiply by -3 (don't forget that this makes the inequality switch direction!) to get [tex]x > {27 \over {-3}[/tex] or x > -9
Option 2. Plug 0 in it. You get -7 < 20, which is obviously true. So 0 is in the set of solution and it means B and C are possible solutions. So let's check another easy value. let's say -10. replacing it you get [tex]-3 (-10) -7 < 20[/tex] or [tex]30 -7 <20[/tex]. But 23 is obviously greater than 20, which means -10 is not a part of the solution. Correct answer is B
find the 125th term of the number pattern 2,4,6,8......
Answer: 250
Step-by-step explanation: 125*2 = 250
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
Answer:
These are the answers
(-1,5)
(0,3)
(2,-1)
Step-by-step explanation:
f(x)=12x to g(x) = 2x
Answer:
g(x)=12-x^2. g(x)=12−x2 g ( x ) = 12 - x 2
Step-by-step explanation:
your welcome
When determining domain it is important to work from
Answer:
use graphs
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up
Answer:
a
Step-by-step explanation:
The transformation from Figure 1 to Figure 2 is:
The transformation of 5 units to the right and 3 units down.
Option C is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).
A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).
Now,
A = (-3 + 5, 5 - 3) to A' = (2, 2)
B = (-2 + 5, 5 - 3) to B' = (3, 2)
C = (-1 + 5, 4 - 3) to C' = (4, 1)
D = (-2 + 5, 3 - 3) to A' = (3, 0)
E = (-5 + 5, 3 - 3) to E' = (0, 0)
We see that,
There is a translation of 5 units to the right and 3 units to the down.
Thus,
The transformation of 5 units to the right and 3 units down.
Learn more about translation here:
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Simplify:
-0.2sqrt(x^2)
Answer:
-0.2x
Step-by-step explanation:
-0.2*sqrt(x^2)
-0.2x
What have you learned about geometric relationships?
PLEASE HELP 15 POINTS
Answer:
that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.
Step-by-step explanation:
i took this i guess and it was gud
PLS HELPPP MEEEEEEEEE
Answer:
x= 7
B= 112
F= 68
Step-by-step explanation:
to find x we set up an equation, (16x)=(4x+84). They are alternate interior angles which are always equal.
calculate it and you'll find x=7.
B and the angle 4x+84 are equal because they are vertical angles, to find it we just put 7 instead of x into 4x+84.
4(7)+84=112
angle f is supplementary to 16x. 16x is also 112 because they are equal, so its just 180-112=68
Perpendicular to y=-2x+1, but passes through (-4,4)
Over 5 days, Jaasiel practices soccer for a total of 3 hours. Jaasiel practices baseball for the same amount of time each day. If he practiced soccer and baseball for a total of 30 hours, how many hours per day did Jaasiel practice baseball? *
Answer:
3 HOURS
Step-by-step explanation:
HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.
Select two national treasures saved by Dolley Madison.
Gilbert Stuart's portrait of George Washington
A bust of Thomas Jefferson
The Declaration of Independence
The U.S. Constitution
Answer:
Gilbert Stuart's portrait of George Washington The U.S. Constitution
Step-by-step explanation:
Answer: Gilbert Stuart's portrait of George Washington
The Declaration of Independence
Step-by-step explanation:
Another division question! (It's a pictiture)
Answer:
0.60 ÷ 15
Explanation: Brainliest please
What is the value of x?
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
Please help asap! I will give brainliest for correct answer!
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.
Solution : (Identify the ratio of the length of one edge of the original cuboid and the length of one edge of the new cuboid)
Answer:
Step-by-step explanation:
(1+25 /100) (1-20/100) (1-50/100) <1
5/4 x 4/5 x 1/2 <1
Decrease in volume (in percent)
(1+25 /100) (1-20/100) (1-50/100) x 100
=48.8%
Write an equation of the line with a slope of frac 3/4
and a y-intercept of -2.
Answer:
Equation: y = 3/4x -2
HELP PLEASE!!!!
WILL GIVE BRAINLIEST
ANY LINKS OR WRONG ANSWERS WILL BE REPORTED!!!!
Answer:
64 ounce bottle of orange juice has a greater percent of water
Step-by-step explanation:
Case 1) An 80 ounce bottle of apple juice contains 32 ounces of water
Total quantity of bottle = 80 ounces
Amount of water = 32 ounces
So, Percent of water = [tex]\frac{32}{80}[/tex] x 100
= 40%
Case 2) An 64 ounce bottle of orange juice has 48 ounces of water
Total quantity of bottle = 64 ounces
Amount of water = 48 ounces
So, Percent of water = [tex]\frac{48}{64}[/tex] x 100
= 75%
Hence 64 ounce bottle of orange juice has a greater percent of water
