Answer:
- 2x² + x + 42x² + x + 43Step-by-step explanation:
Given functions
r(x) = x + 4s(x) = 2x²Finding (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3Answer:
1. - 2x² + x + 4
2. 2x² + x + 4
3. Answer = 3
Example functions we are given:
r(x) = x + 4
s(x) = 2x²
Now, we Find (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4
(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4
(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Group of answer choices
(4, 6)
(5, −1)
(6, 4)
(−1, 5)
Answer:
the answer is (5,-1)
Step-by-step explanation:
if you click on the image it will show you the image full screen
Answer:
It’s c
Step-by-step explanation:
what is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4
PLEASE HELP!
Use the order of operations to evaluate the expression below.
1 + 27 x (6-3) / (7 + 2) - 5
/ = DIVISION
Angie paid $66.50 for 3.5 yards of fabric. What is the price of 1 yard of fabric?
Answer:
$19
Step-by-step explanation:
First you need to make a equation out of given information and this will be easiest to solve as an equation.
3.5 $66.50
1 x
-----------------------
3.5:1=66.50:x
3.5x=66.50/:3.5
x=19
On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.
Combine like terms
(x+y)+(x+y)+(x+y)+(x+y)
the combine like terms is
Answer:
It is 4x + 4y.
Step-by-step explanation:
All you have to do is add all of the y's toghther and then add all of the x's toghther.
Answer:
4x+4y
Step-by-step explanation:
Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 4648 yes votes, what was the total number of votes?
Answer:
The total number of votes was 7968.
Step-by-step explanation:
From the information given, you know that the ratio of yes votes to no votes was 7 to 5 and you can use a rule of three to find the number of no votes if there were 4648 yes votes:
7 yes → 5 no
4648 yes → x
x=(4648*5)/7=3320
Now, you have to add up the amount of yes votes and no votes:
4648+3320=7968
According to this, the answer is that the total number of votes was 7968.
mmon Multiple
mmon multiple (LCM) of the
10, 30, and 15
Numbers
Answer:45 ?
Step-by-step explanation:
Drag each label to the correct location on the graph. Not all labels will be used.
SallorsBay is a boat rental company that offers sailboat rentals for tourists. They charge a certain rate for the rental of a sailboat and
an additional hourly fee according to the length of time for which the tourists rent the boat.
Complete the graph with the appropriate quantities that describe SailorsBay's rental charges.
у
C
Number of Sailboats
Time (weeks)
Rental Charge ($)
Time (days)
Time (hours)
Number of People
Answer:
Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.
jack works after school. each day he earns a set amount, plus an hourly wage. write a linear function f jack can use to determine his pay. QUICK
Which expression best estimates
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please help I need help
I HATE FREAKING ONLINE SCHOOL WITH A PASSION!!
Me too, your not alone
Answer:
i feel that lol
Step-by-step explanation:
A 10,000-gallon swimming pool needs to be emptied. Exactly 2,000 gallons have already been pumped out of the pool and into the tanker. As the pump is pumping water, the amount of water in the pool decreases at a constant rate of 720 gallons per hour. What is the slope and what is the y-intercept
Answer:
slope = -720
y-intercept: 8,000
Step-by-step explanation:
The slope in this case is a negative slope, since the word "decreased" is being used. The rate of 720 gallons per hour can be seen as -720 / 1, which gives you the -720 slope.
The y-intercept in an equation represents the initial value. Since 2,000 gallons has already been pumped out, the initial value is 8,000.
The constant rate at which the water decreases results in a straight line
function between the volume of water in the tank and time of pumping.
The slope is -720 (gal/hour)
The y-intercept is 8,000 (gallons)
Reasons:
The volume of the swimming pool = 10000 gallon
Volume of water already pumped out = 2,000 gallons
Rate at which the water is being pumped out = 720 gallons per hour
Required:
The slope and y-intercept of the function
Solution:
Volume of water in the tank = (10,000 - 20,000) gallons = 8,000 gallons
Volume of water decreasing from the tank after t hours = 720·t
Therefore;
Volume of water in the tank after t hours, is V(t) = 8000 - 720·t
Comparing the above function with the equation of a straight line, in slope
and intercept form, y = m·x + c, we have;
V(t) = -720·t + 8000
Slope, m = -720y-intercept = 8000Learn more here:
https://brainly.com/question/13881458
Determine if the sequence is arithmetic write yes or no 5,9,14,20
Answer: No
Step-by-step explanation:
An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.
In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.
If the measure of angle ACB is 50 degrees, what is the measure of angle AOB
The answer is 100 degree
which expressions have the same solution as 3× -4/5 mark all that apply
Answer:
Everything except second and third one
Which is correct please hurry <3
Answer:
The last one I did the math
Answer:
D
Step-by-step explanation:
bc it is just put it
What is the measure of angle x?
Answer:
X=135
Step-by-step explanation:
180-69-66=45
And the angle of a line is also 180 and 180-45=135
can someone please help me
Answer:
isosceles
Step-by-step explanation:
carmen ran 1 3/8 miles yesterday. her sister lola ran 2 1/4 miles how much farther dad lola run than carmen show your work
Answer:
7/8 miles
Step-by-step explanation:
1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answer:
(1) The slope of the line segment AB is 1.[tex]\bar 3[/tex]
(2) The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is (5, 7)
(4) The slope of a line perpendicular to the line AB is-0.75
Step-by-step explanation:
The coordinates of the line segment AB are;
A(2, 3) and B(8, 11)
(1) The slope of a line segment is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) and (x₂, y₂) are two points on the line segment
Therefore;
The slope, m, of the line segment AB is given as follows;
A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)
[tex]Slope, \, m_{AB} =\dfrac{11-3}{8-2} = \dfrac{8}{6} = 1 \frac{1}{3} = 1.\bar3[/tex]
The slope of the line segment AB = 1.[tex]\bar 3[/tex]
(2) The length, l, of the line segment AB is given by the following equation;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
[tex]l_{AB} = \sqrt{\left (11-3 \right )^{2}+\left (8-2 \right )^{2}} = \sqrt{64 +36} = 10[/tex]
The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is given as follows;
[tex]Midpoint, M = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )[/tex]
Therefore;
[tex]Midpoint, M_{AB} = \left (\dfrac{2 + 8}{2} , \ \dfrac{3 + 11}{2} \right ) = (5, \ 7)[/tex]
The coordinates of the midpoint of AB is (5, 7)
(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;
[tex]m_1 = -\dfrac{1}{m_2}[/tex]
Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1.[tex]\bar 3[/tex] is given as follows;
[tex]m_1 = -\left (\dfrac{1}{\frac{4}{3} } \right ) = -\dfrac{3}{4} = -0.75[/tex]
The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.
On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster than Runner B, how fast is each of them running?
9514 1404 393
Answer:
A: 9 mphB: 4 mphStep-by-step explanation:
Let b represent the speed of runner B. then the ratio of speeds is ...
b/(b+5) = 8/18
18b = 8(b +5) . . . . cross multiply
10b = 40 . . . . . . . . subtract 8b
b = 4 . . . . . . . . . . . divide by 10
Runner B's speed is 4 mph; runner A's speed is 5 mph more.
Runner A is running at 9 mph; Runner B is running at 4 mph.
Hi I really need help with questions 10 and 11, I would really appreciate it if you would answer these for me, thank you so much!!!! and if you would like you could answer number 1 too thank youuuuu, also if you would like to send the answers to my Instagram it’s habibamalikkk
Answer:-3 and -7 equals 10
Step-by-step explanation: two negatives equal a positive and vice versa. Combining those 2 gives you the highest answer
A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in the coordinate plane corresponds to 10 feet. Approximately how far is the gazebo from the nature trail? Round your answer to the nearest foot.
Answer:
126 feets
Step-by-step explanation:
Given that :
Equation of line repressing nature trail :
y = 13x - 4
Distance of gazebo from nature trail :
Each unit in coordinate plane = 10 feets
Hence,
y = 13(10) - 4
y = 130 - 4
y = 126 feets
A pogo stick bounces for 30 m in 10 S what is the bouncers average speed
Answer:
3m/s
Step-by-step explanation:
2+2
will mark brainly est
Answer:
4
Step-by-step explanation:
Arely has 4 fewer than twice as many music files as Valerie. They have a combined number of 86 music files. Which is the number of music files that Arely has?
Answer:
56 music files
Step-by-step explanation:
From the above question:
Let the number of music files
Arely has = x
Valerie has = y
Arely has 4 fewer than twice as many music files as Valerie.
x = 2y - 4
They have a combined number of 86 music files.
x + y = 86
We substitute 2y - 4 for x in the above equation
2y - 4 + y = 86
3y - 4 = 86
3y = 86 + 4
3y = 90
Divide both sides by 3
3y/3 = 90/3
y = 30
Hence, Valerie has 30 music files.
The number of music files that Arely has is calculated as:
x = 2y - 4
x = 2(30) - 4
x = 60 - 4
x = 56
Arely has 56 music files
Solve for v.
2v + 3 = 9
V =
Answer:
v equals 3
Step-by-step explanation:
2 times 3 is 6 and 6 plus 3 is 9 I hope this helps
Answer:
v = 3
Step-by-step explanation:
Given
2v + 3 = 9 ( subtract 3 from both sides )
2v = 6 ( divide both sides by 2 )
v = 3
2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
3
-7
-3
7
Answer:
The answer to da question is 3
Find the value of c so that the polynomial p(x) is divisible by (x – 3).
p(x) = -x3 + cx2 - 4x + 3
с=
Answer:
c = 4
Step-by-step explanation:
p(x) is divisible by (x - 3).
So, p(3) = 0
-(3)³ + c(3)² - 4 *3 + 3 = 0
-27 + 9c - 12 + 3 = 0
9c - 36 = 0
9c = 36
c = 36/9
c = 4