Answer:
Step-by-step explanation:
3(x + 1) − (3x + 2)
we will expand the first bracket:
3x+3-3x-2
3x and -3x cancels
3-2=1
Answer:
1
Step-by-step explanation:
3x+3+−3x+−2
=(3x+−3x)+(3+−2)
=1
Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows Luis's position at two points during his ride to the beach. Write an equation in slope-intercept form to represent Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than Luis, at what speed must Raul ride for the plan to work?
If x represents the time in hours since the ride began and y represents the remaining distance from the beach, then the equation
_____
represents Luis's ride from his house to the beach.
Answer:
equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]
Then you fill x and y to find out the y intercept
[tex]11.25=-7.5*0.5+b[/tex]
[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]
Y intercept= 15
then you put it in the equation:
y=-7.5x+15
Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.
That is 5 miles/hour
The distance and time, as presented in this question are illustrations of linear equations.
The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closerFrom the diagram, we have:
[tex](x_1,y_1) = (0.5,11.25)[/tex]
[tex](x_2,y_2) = (1.2,6)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]
[tex]m = \frac{-5.25}{0.7}[/tex]
[tex]m = -7.5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -7.5(x - 0.5) + 11.25[/tex]
[tex]y = -7.5x + 3.75 + 11.25[/tex]
[tex]y = -7.5x + 15[/tex]
Calculate distance, when [tex]x = 5[/tex]
We have:
[tex]y = -7.5 \times 5 + 15[/tex]
[tex]y = -22.5[/tex]
The speed (s) is then calculated as:
[tex]s = \frac{22.5}{5}[/tex]
[tex]s = 4.5[/tex]
Hence, he must plan to ride at 4.5 miles per hour
Read more about linear equations at:
https://brainly.com/question/11897796
Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.
Answer:
c. 3/a
Step-by-step explanation:
5ax + 3ax = 4xa+ 12, combine like terms
8ax = 4ax + 12, minus 4ax on both sides
4ax = 12, divide 4a on both sides
youll be left with x = 3/a
1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?
Answer:
He need to On the 26th day of his billing
Step-by-step explanation:
Given:
Amount of data = 3 gb
80% data used in 21 days
Find:
Number of days for additional data
Computation:
Total number of days = 21(100/80)
Total number of days = 26.25 days
He need to On the 26th day of his billing
Estimate. 5. 8% of 40
For the arithmetic sequence 13,9,5,1... determine t8?
Answer:
34
Step-by-step explanation:
what does i2x + 3(x - 5) = 20 equal
Answer:
x=7
Step-by-step explanation:
2x+3(x-5)=20
2x+3x-15=20
5x-15=20
5x=35
x=7
Answer:
x = 5
Step-by-step explanation:
2x + 3(x - 5) = 20
simplify
5x - 5 = 20
get the variable and the number on different sides
5x - 5 + 5 = 5x
20 + 5 = 25
5x = 25
now divide each side by 5
5x / 5 = x
25 / 5 = 5
x = 5
Express each rate as a unit rate.$8 for 2 pounds of rice
Answer:
$4 for 1 pound of rice
Step-by-step explanation:
8 ÷ 2 = 4
2 ÷ 2 = 1
Hope this helps!
If g(n) = n +2, find g(1)
Answer:
3
Step-by-step explanation:
because n=1 and you plug it in you get 3
Solve the equation algebraically |x|=12
Answer:
x = 12
Step-by-step explanation:
Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.
Hope This Helps :)
7y+8y can be simplified to 15y
True or false
Answer:
true because you combine like terms
Answer:
True.
Step-by-step explanation:
The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:
7y + 8y = (7 + 8)y = 15y
~
which equals ( V20 - 13) (120 + V3)?
Answer:
17
thats the answer
which is the value of the expresson?
solve v = 5/f-8 for f
10/3 divided by 2/3 show work pls
Answer: 1/5
Step-by-step explanation:
10. 3
3. 2
Three divided by three is one
Ten divided by two is five
Answer:
5
Step-by-step explanation:
10/3 divided by 2/3
Using the rule of dividing fractions, you flip one side and multiple.
10/3 multiplied by 3/2
Think: Can you simplify from across?
10 and 2, 3 and 3 can simplify from across
5/1 multiplied by 1/1 = 5
If you have any questions I would be glad to help.
Why can’t i be normal and understand math chileee
The product of a scaler and vector produces a vector with the direction opposite of the original vector what must be true?
Answer:
Scalar is negative
Step-by-step explanation:
- 6n - 16 = 20 what does n =?
Answer: the answer is -6
use symbolab
Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP
Answer:
Tower 1=1550 gal after 5 min
Tower2=470 gal after 5 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
After 5 minutes, the amount of water that has flowed is ...
(20 gal/min)(5 min) = 100 gal
That amount has flowed out of Tower #1, so it now has ...
1650 -100 = 1550 . . . gallons in Tower #1
That amount has flowed into Tower #2, so it now has ...
570 +100 = 670 . . . gallons in Tower #2
square root of x²-2x+1=100 wkwkwkw
i already have an answer but i need other answers too so i can check whether mine is wrong or not..
x ^ 2–2x + 1
by splitting this equation
x ^ 2 - x -x + 1
there are a two terms x ^ 2 - x and - x + 1
we take x is common from first and -1 is common from second
x ( x - 1 ) and -1 ( x-1 )
the quadratic roots are (x-1) and (x-1)
x - 1 = 0
x = 1 in both
Therefore , the quadratic roots are 1 , 1 .
Y=-1/5x+12
What is the y-intercept?
What is the slope?
Answer:
The slope is -1/5 and the y intercept is 12
Step-by-step explanation:
Y=-1/5x+12
This is in the form
y=mx+b where m is the slope and b is the y intercept
The slope is -1/5 and the y intercept is 12
Answer:
-1/5 = slope
12 = y-intercept
Step-by-step explanation:
y = mx + b
m is always equal to the slope
b is equal to the y-intercept
which makes -1/5 the slope
and makes 12 the y-intercept
How do you solve this?
Answer:
145
Step-by-step explanation:
180-137=43
43+102=145
Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35
Step-by-step explanation:
HELP ME HELP ME please !!! 10 points
Answer:
The slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]
∴ m = [tex]\frac{3}{2}[/tex]
∴ The slope is [tex]\frac{3}{2}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{3}{2}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong
The first and last buttons are 15 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? (there are 5 buttons btw)
It should be 3 inches, but I am not sure what the length is of each button if i should subtract it or not.. otherwise it should be 3!!
An 8-ounce bottle of glue costs $1.92. What is the unit price
Answer:
$0.27 for 1 ounce
Step-by-step explanation:
Hope this helps!!!
SAT Prep) In the figure, what is the value of x? A. 30° B. 50° C. 15° D. 20°
Answer:
D. 20° Can I get brainliest please :)
Step-by-step explanation:
You can see their is a 90° angle, and angles across from each other are equal so them together is 180° and you know the whole thing is 360° so you can do
360°-180°=180°
then you have the x's we still know that angles opposite each other are the same so if we add all those angles together we get
x+x+2x+30°+2x+30°
simplify it
6x+60°
then we know what we have left is 180° so we do numbers to numbers
180°-60°=120°
now we have
6x=120°
simplify it
x=20°
The value of x is 20°. Option b is correct.
Value of angle x is to be determine.
it can be defined as the measure of one line tilt over other line.
Here, the sum of angle is 180°
x+90+2x+30=180
3x =180-120
3x = 60
x = 20
Thus, the value of x is 20°.
Get more information about angles here:
https://brainly.com/question/13954458
#SPJ2
Please help with this, it's due today and I don't really understand it.
Answer:
Check description
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.
Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)
p(x)=8x^2
g(x) = x^2
Answer:
Step-by-step explanation:
p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8) on the y axis and rises steeply to the right.
g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).
and opens upwards either side of the y-axis. This type of curve is called a parabola.
It’s asking me to solve for z...Can someone please explain how I can workout this problem?
Answer:
12°
Step-by-step explanation:
Step 1:
7z + 6° = 90° Def. of Right Angle
Step 2:
7z = 84° Subtract 6° on both sides
Step 3:
z = 84° ÷ 7 Divide
Answer:
z = 12°
Hope This Helps :)
What is the length of segment BC?
The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.
6 squared plus 8 squared is 100, which is 10 squared.
The answer is 10.
Answer:
C. 10
Step-by-step explanation:
The Pythagorean Theorem states that a² + b² = c²
a² can be found by multiplying 6 by 6, which is 36
b² can be found by multiplying 8 by 8, which is 64
36 + 64 = 100.
The square root of 100 is 10, you can double-check this because 10 x 10 = 100
Because of this, we know that the line segment BC is equal to 10
I hope this helps :)