Answer:
-(x^2 - 9 x + 3)
Step-by-step explanation:
Simplify the following:
-(-5 x^2 - 9 x + 8) - 6 x^2 + 5
Factor -1 out of -5 x^2 - 9 x + 8:
--(5 x^2 + 9 x - 8) - 6 x^2 + 5
(-1)^2 = 1:
5 x^2 + 9 x - 8 - 6 x^2 + 5
Grouping like terms, 5 x^2 - 6 x^2 + 9 x - 8 + 5 = (-6 x^2 + 5 x^2) + 9 x + (5 - 8):
(-6 x^2 + 5 x^2) + 9 x + (5 - 8)
5 x^2 - 6 x^2 = -x^2:
-x^2 + 9 x + (5 - 8)
5 - 8 = -3:
-x^2 + 9 x + -3
Factor -1 out of -x^2 + 9 x - 3:
Answer: -(x^2 - 9 x + 3)
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
MATH HELP ASAP PLEASE
Answer:
53lbs
Step-by-step explanation:
if he bought three bags of gravel that are 20 lbs. each then he would have 60 lbs. of gravel. In the end he only had 7 pounds left so you would subtract 7 from 60 and get 53 pounds.
7+x=60 or 60-7=53
i hope this helped!
what is the domain of the function s=-4r^2 if the range is s <_ 0
Answer:
r≤0
Step-by-step explanation:
if the range is s≤0, (that means the value of s is all negative integers &0) to find the domain we have to replace that some negative integers &0.
we can replace some values of s as the following
s=‒4(0)^2 s=‒4(‒1)^2
=‒4(0) =‒4(1)
=0 =‒4
s=‒4(‒2)^2 s=‒4(‒3)^2
=‒4(4) =‒4(9)
=‒16 =‒36
so we can understand easly that the domain is negative integer&0,it can't be positive because the square of any integer is positive.
therefore the answer is r≤0
i think &i hope it is clear.
The domain is the set of values for which the given function is defined. The domain of the function s=-4r² if the range is s≤0 is r∈R. The correct option is B.
What are the domain and range of a function?The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.For the given function s=-4r², the domain of the function when s≤0 will be all the real numbers. This is because, for any value of r whether it is positive or negative, the value of r² will be positive, but at the same time this quantity is needed to be multiplied by -4.
Thus, the result of -4r² will be always negative, which is less than zero.
Hence, the domain of the function s=-4r² if the range is s ≤0 is r∈R.
Learn more about appropriate domain here:
https://brainly.com/question/20073127
#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.
on sunday Danielle is having her friends over for her 9th birthday she had 24 M&M bags 36 jelly beans and 48 snickers to make goodie bags If each person coming to her party received the same amount of each candy what is the greatest number of friends that can come over how much candy will they receive PLS help due in 20 minutes
Number of M&M bags with Danielle = 24
Number of jelly beans with her = 36
Number of snickers with her = 48
To find the highest number of candies each friend of Danielle will get, in a way in which all of them have the same number of candies , we have to find the HCF (highest common factor) of all the varieties of candy with Danielle.
Factors of 24 = 1,2,3,4,6,8,12,24
Factors of 36 = 1,2,3,4,6,9,12,18,36
Factors of 48 = 1,2,3,4,6,8,12,16,24,48
Highest common factor = 12
Which means the highest number of friends Danille can invite is 12 .
Number of M&M bags each friend will get :-
[tex] = 24 \div 12[/tex]
[tex]\color{hotpink} = 2 [/tex]
Which means each friend will get 2 M&M bags .
Number of jelly beans each friend of hers will get :-
[tex] = 36 \div 12[/tex]
[tex]\color{hotpink} = 3[/tex]
Which means each friend of Danielle will get 3 jelly beans.
Number of snickers each friend of hers will get :-
[tex] = 48 \div 12[/tex]
[tex] \color{hotpink}= 4[/tex]
Which means each friend of hers will get 4 snickers .
Therefore , the highest number of friends Danielle can invite = 12 and each of her friends will get 2 M&M bags , 3 jelly beans and 4 snickers .
solve v = 5/f-8 for f
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 :)
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:
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 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
helpppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pleaseeeeeee
Answer:
Step-by-step explanation:
y= money earned , x is the number of hours
k is the constant=y/x=12
a- y=12 xb- if she worked 18 hours:
y=12(18)
y=216 dollarsc- if she earned 330 dollars:
330=12x
x=330/12
x=27.5 hoursThere were 8 judges at a gymnastic competition. Kathleen received these scores for her performance on the uneven parallel bars: 8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2 Mean = 8.8 Median = 8.85 Mode = 8.9 Which statistic reflects a typical score? Explain.
Answer:
It is the MEAN
Step-by-step explanation:
Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.
MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).
How did the Yuan dynasty contribute to the rebellion that eventually
overthrew the dynasty?
O A. The Yuan government discriminated against the Chinese and
suppressed their culture.
B. The Yuan government was Confucian, and the people had turned
against Confucianism.
C. The Yuan government had begun indiscriminately killing Chinese
people in the streets.
O D. The Yuan government had entered into unfavorable trade
agreements for the Chinese.
Answer:
a
Step-by-step explanation:
thats what i put and got it right
Help me first one gets brainliest IF they’re right
Answer:
C
Step-by-step explanation:
You divided it, 752 by 3, and you will get 250.6 repeating! This is important to rember.
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
A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong
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
Which expression is equivalent
to cos(4x)?
Answer: A 2(2cos^2(x) - 1)^2 - 1
Step-by-step explanation: E 2020
The expression equivalent to cos(4x) is 2cos²(2x) - 1.
Out of the options provided, the correct choice is 2cos²(2x) - 1.
The expression equivalent to cos(4x) can be found using trigonometric identities and formulas. One such identity is the double angle identity for cosine:
cos(2θ) = 2cos²(θ) - 1.
We can apply this identity to the expression cos(4x) by considering it as cos(2(2x)).
Using the double angle identity, we have:
cos(4x) = cos(2(2x)) = 2cos²(2x) - 1.
Therefore, the expression equivalent to cos(4x) is 2cos²(2x) - 1.
Out of the options provided, the correct choice is:
O 2cos²(2x) - 1.
By substituting 2x for θ in the double angle identity, we obtain the equivalent expression for cos(4x).
To learn more about trigonometric identities;
https://brainly.com/question/24377281
#SPJ2
Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row.
Molly is planting a ratio of
pink to white flowers.
Answer:
18 pink to 12 white......18/12 reduces to 3/2......
Step-by-step explanation:
Answer:
The answer is 3/2 hope it helps
Step-by-step explanation:
Bobby sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Which equation best describes this relationship?
Answer:
W = 7.25H - 10
- 6n - 16 = 20 what does n =?
Answer: the answer is -6
use symbolab
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
~
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
25
The graph models the proportional relationship between the amount of money
Tessa earns and the hours she works. Decide if each statement is true or false.
Choose True or False for each statement
20
15
Money Earned (5)
10
True
False
1
2
3
Hours
a. The point (1, 12.5) means Tessa makes $1.00 in
12.5 hours
b. The point (1, 12.5) identifies the constant of
proportionality
c. The point (0,0) means the constant of
proportionality is o.
d. The point (0.5, 6.25) means that Tessa earns
56.25 every half hour.
Answer:true false true false
Step-by-step explanation:
PLSSS HELLPPPPPPPPP
is 128% rational or irrational
Answer:
irrational
Step-by-step explanation:
For the arithmetic sequence 13,9,5,1... determine t8?
Answer:
34
Step-by-step explanation:
You spend $38.50 on 7 movie tickets. What is the cost for 1 ticket?
Answer:
$5.50
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
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!