Answer:
[tex] y = -65x + 420 [/tex]
Step-by-step explanation:
Slope-intercept form equation is given as [tex] y = mx + b [/tex]
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:
[tex] y = -65x + 420 [/tex]
The equation in slope intercept form is [tex]y =-65x + 420[/tex]
Linear functionA linear function is a function whose value changes at a constant rate.
The given parameters are:
Distance = 420 milesRate = -65 miles per hourA linear function is represented as:
[tex]y = mx + c[/tex]
Where
m represents the ratec represents the initial value i.e. the distanceSo, the function becomes
[tex]y =-65x + 420[/tex]
Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]
Read more about linear functions at:
https://brainly.com/question/14323743
k/2+1/2=3 find the k
Answer:
k = 5
Step-by-step explanation:
Given
[tex]\frac{k}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
Answer:
K=5
Step-by-step explanation:
K/2=3-1/2
k/2=2 1/2
k= 2 1/2 * 2
k=5
A recipe calls for 2/3 of cups of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
Answer:
10 cups of milk
Step-by-step explanation:
Make a proportion, where x is the number of cups of milk for 165 cookies:
[tex]\frac{2/3}{11}[/tex] = [tex]\frac{x}{165}[/tex]
Cross multiply and solve for x:
11x = 110
x = 10
So, 10 cups of milk are needed to make 165 cookies
The length of a rectangle is 3 m longer than it’s with.if the perimeter of the rectangle is 50 m find the langth and the width
Answer:
2(3x+x)=50...4x=25...width is 6/25 meter and length is 18/75
Solve the simultaneous equations:
6x-4y=39
2x+y=6
Answer:
(9/2, -3)
Step-by-step explanation:
HELP PLEASE!!!
Sonia graphs the equation y=-x^2+4x and y=x-4 to solve the equation -x^2+4x=x-4. Her graph is shown below.
what are the solutions of -x^2+4x=x-4?
a)-5 and 0
b)-5 and -1
c)-1 and 4
d)0 and 4
-7 + 10y = 33 STEP BY STEP FULL ANSWER TO GET BRAINLIEST
Answer:
y = 4
Step-by-step explanation:
-7 + 10y = 33
10y = 33 +7
10y = 40
y = 40/10
y = 4
PLS help with the question in the picture!
Answers:
y = 50
angle AOB = 100
=========================================
Explanation:
Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.
Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.
-------------------
Point O is the center of the circle. This is because "circle O" is named by its center point.
Angle AOB is considered a central angle as its vertex point is the center of the circle.
Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.
This is the inscribed angle theorem.
Using this theorem, we can say the following
central angle = 2*(inscribed angle)
angle AOB = 2*(angle x)
angle AOB = 2*50
angle AOB = 100 degrees
3(2x − 5) = 6x + k , whats the value of k?
Answer:
k=-15
Step-by-step explanation:
3(2x-5)=6x+k
open the bracket by multiplying the contents of the bracket by +3
6x-15=6x+k
collect.like.terms(C.L.T)
6x-6x-k=+15
-k=+15 or
-k=15
switch the signs equal to sign(=)
k=-15
A.) Translation
B.) Rotation
C.) Reflection
D.) Dilation
Answer: Dilation
Step-by-step explanation: Dilations are when a shape is transformed into something bigger or smaller
3/5n+15=10+2/5n what is n
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{5}n +15=10+\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{SUBTRACT}\ \mathsf{by\ \dfrac{2}{5}n\ from\ both\ of\ your\ sides}}[/tex]
[tex]\mathsf{Like: \dfrac{3}{5}n+15-\dfrac{2}{5}n=\dfrac{2}{5}n+10-\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{CANCEL: \dfrac{3}{5}+\dfrac{2}{5}}}\textsf{out\ because that gives you\ 1}[/tex]
[tex]\textsf{Solve\ the set we have left over}[/tex]
[tex]\mathsf{Our\ new\ equation\ becomes: \dfrac{1}{5}n+15=10}[/tex]
[tex]\mathsf{\bf{SUBTRACT}}\textsf{ by 15 on both of your sides}[/tex]
[tex]\mathsf{\dfrac{1}{5}n+15-15=10-15}[/tex]
[tex]\mathsf{Cancel\ out: 15-15\ because\ that\gives\ you\ 0 }[/tex]
[tex]\mathsf{Keep: 10-15\ because\ it\ helps\ us\ solve\ for\ your\ n }[/tex]
[tex]\mathsf{10-15=-5}[/tex]
[tex]\mathsf{New\ equation: \dfrac{1}{5}n=-5}[/tex]
[tex]\mathsf{\bf{MULTIPLY}\mathsf{\ both\ sides\ by\ 5}}[/tex]
[tex]\mathsf{\dfrac{1}{5}n\times5=5\times-5}[/tex]
[tex]\mathsf{Cancel\ out\ \dfrac{1}{5}\times5 \ because \ it \ gives \ us \ 1}[/tex][tex]\mathsf{Keep: 5\times -5\ because\ it\gives\ us\ the\ value\ of\ your\ n}[/tex]
[tex]\mathsf{n =5\times-5}\\\mathsf{5\times-5 = -25}[/tex]
[tex]\textsf{Thus, \underline{\bf{n = -25}}}\checkmark[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\bf{n =-25}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value)
Answer:
r = 50000
P (r) = 0.7r - 35000
Step-by-step explanation:
Given cost function is
C (r) = 0.85r + 35000
and revenue function is
R (r) = 1.55r
At break even point, revenue is equal to cost
R(x)= C(x)
1.55r = 0.85r+35000
Subtract 0.85 from both sides
0.7r = 35000
divide by 0.7 on both sides
r = 50000
Profit function
P(x)= R(x)- C(x)
P(r) = 1.55r - (0.85r+35000)
P(r) = 1.55r - 0.85r - 35000
P(r) = 0.7r - 35000
A point on a graph is located at (0, -9). Which statement is true?
A -9 is the y-intercept.
B -9 is the x-intercept.
C 0 is the x-intercept.
D 0 is the y-intercept.
Answer:
A -9 is the y-intercept
Step-by-step explanation:
ANSWER :- OPTION A -9 IS THE Y-INTERCEPT
Please answer give it too me now
Answer:
5/3
Step-by-step explanation:
HTH :)
Study the work shown to find the exact solutions of this trigonometric equation.
Solve: 2 cosine (x) minus StartRoot 3 EndRoot = 0 for 0 less-than-or-equal-to x less-than-or-equal-to 2 pi. 2 cosine (x) minus StartRoot 3 EndRoot = 0. 2 cosine (x) = StartRoot 3 EndRoot. Cosine (x) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction. Cosine Superscript negative 1 Baseline (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) = x
Select all that are solutions of the equation over the specified domain.
Answer:
x=pi/6
and
x=11pi/6
Step-by-step explanation:
edge
Answer:
A & D are the answer
Step-by-step explanation:
At what value of x do the graphs of the equations below intersect?
2x − y = 6
5x + 10y = −10
Answer:
x = 2
Step-by-step explanation:
You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10You then would calculate for x.Your end result should be x = 2, which is the point that the two equations intersectThis works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
Hope this helped!
Answer:
x = 2
Step-by-step explanation:
Given the 2 equations
2x - y = 6 → (1)
5x + 10y = - 10 → (2)
Multiplying (1) by 10 and adding to (2) eliminates the y- term.
20x - 10y = 60 → (3)
Add (2) and (3) term by term to eliminate y, that is
25x = 50 ( divide both sides by 25 )
x = 2
The value of x at the point of intersection is x = 2
f(x) = 2x + 2; Find f(10)
Answer:
22
Step-by-step explanation:
f(10)=2(10)+2
20+2
22
ME ajudem porfavor não aguento mais, tá muito dificil
questão: Determine o valor de x em...
Answer:
say it in English plZz
I can't understand Spanish or whatever ur saying sorry
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
8.8 pounds
12.7 pounds
61.6 pounds
89.1 pounds
Answer:
8.8 pounds
Step-by-step explanation:
28 kg/7 days =4 kg per day
2.2 pounds * 4 kg = 8.8 pounds
Answer:
A 8.8 pounds
Step-by-step explanation:
Amy needs to fill a tank that has a capacity of 112L. She using a bucket to collect water from the tap. The bucket can hold 7L of water. How many trips she needs to make to fill half of the tank? *
Answer:
8 trips
Step-by-step explanation: divided 112 by 2 then I got 56 which I then divided that by seven which gave me the answer of 8
What is the solution of the equation p + r + 2 = 3r – 4 – 3p in terms of r?
Answer:
[tex]r=2p+3[/tex]
Step-by-step explanation:
Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25. Find one possibility for the number of nickels and number of dimes that could be in Priya's pocket. Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. Explain what the point (13,6) means in this situation. Is the point (13,6) a solution to the equation you wrote? Explain your reasoning.
Answer:5x + 10y = 125
Step-by-step explanation
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
In the figure below, triangle ABC is similar to triangle PQR, as shown below.
What is the length of side PQ? (1 point)
a-33
b-34
c-35
d-36
Answer: 36
Step-by-step explanation:
As you can see, side AB is similar with side PQ.
Also, side BC is similar with side QR.
If you divide the length of side QR (34.5) by the length of side BC (11.5)
you get 3.
3 is the ratio that you will use to find the other side. The ratio of triangle ABC to PQR is 1:3
Multiply the side of AB (12) by 3 and you will get 36.
The measure of side PQ in triangle PQR is 35 units. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle ABC is similar to triangle PQR.
By similar triangles statement, we have
AB/PQ = BC/QR
12/PQ = 11.5/34.5
12×34.5=PQ×11.5
11.5PQ=414
PQ=414/11.5
PQ=36
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
Which of the binomials below is a factor of this trinomial?
+ 12x+32
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4
PLEASE HELP!!
help and please explain
The points are basically numbers and use those points to help you figure out which equation is true or in you case best models the graph.
Answer:
Option (D) is correct
Step-by-step explanation:
Hope this helped if so please leave a rating! :)
THANKS
I need help NOW please!!!
Answer:
B)34
Step-by-step explanation:
Answer:
B.34°
supplementary angles
their sum is 180
180=146+x
x=180-146=34
Help ASAP 27 points.
I'll mark you brainliest of you answer correctly.
Answer:
2nd one is the answer..
rs. Young is buying tshirts for her students in a class. There are 24 students in her class. Each student will pay $9.50 for their shirts. During the first week, 15 students paid. The remaining students paid the second week. How much money will be collected on the second week?
Answer:
The answer is $85.50
Step-by-step explanation:
You have to multiple the number of students that are paying on the second week, which is 9 by $9.50, then you'll get $85.50
WEEK ONE --
9.50 x 15 = $142.5 (15 out of 24 students)
--
WEEK TWO --
9 x 9.50 = $85.5 (9 out of 24 students)
--
$85.5 will be collected on the second week.
(2x+5+8)/x-2 there should be a remainder left, pls help
Answer: 13/2
Decimal answer 6.5
im sorry if it was wrong it was what I got
Step-by-step explanation:
M<A=45
A. straight
B. obtuve
C. right
D. acute
Answer:
d. acute
Step-by-step explanation:
acute angles are anything less than 90 degrees :)
A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?
{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}
Answer:
A. {t| 0< t < 14}
Step-by-step explanation:
got it right
Ansnwer
{t| 0 ≤ t ≤ 14}
Step-by-step explanation:
I got it right on edge 2020