Given:
A train is traveling at a constant speed in miles per hour.
The table of value is:
Hours (x) Miles (y)
1 20
2 100
3 180
4 260
5 340
To find:
The equation for the given data table.
Solution:
It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.
Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]
[tex]y-20=\dfrac{80}{1}(x-1)[/tex]
[tex]y-20=80(x-1)[/tex]
Add 20 on both sides.
[tex]y=80(x-1)+20[/tex]
[tex]y=80x-80+20[/tex]
[tex]y=80x-60[/tex]
Therefore, the correct option is D.
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
3. Find the products.
a) (a? + 4) (a? – 4)
Answer:
a^2-16
Step-by-step explanation:
you just a.a+a.-4+4.a+4.-4=a^2-16
Got an Accuplacer tommorow going to need rapid help with the questions.
In Circle F, determine the value(s) of x.
Answer:
since inscribed angle is half of the central angle
x²+22=2(x²+3)
x²+22=2x²+6
22-6=2x²-x²
16=x²
x=√16=±4
determine the value(s) of x=±4
need help with trig. find the value of variable to the nearest tenth
Answer:
x = 10.43
Step-by-step explanation:
use tan:
⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 41 = [tex]\frac{12}{x}[/tex]
tan of 41 is 0.869
⇒ 0.869 = [tex]\frac{12}{x}[/tex]
multiply each side by 12
⇒ 0.869 x 12 =[tex]\frac{12}{x}[/tex] x 12
x = 10.43
Answer:x = 10.43
Step-by-step explanation:give credit to the other person
From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?
Answer:
1974.6 feets
Step-by-step explanation:
The plane's altitude is : h + 100 feets
To obtain h, according to the attached picture ;
We can use trigonometry :
Tan θ = opposite / Adjacent
Opposite = h ; adjacent = 3000 feets
Tan 32° = h / 3000
h = 3000 * 0.6248693
h = 1874.6080
Plane's altitude :
h + 100 feets
(1874.6080 + 100) feets
= 1974.6 feets
the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof
Answer:
Need more points lang sorry
Which decimal is equivalent to 1/3
Answer:
0.3 with the 3 being repeated
PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).
Answer:
2/5
Step-by-step explanation:
Red potato: 18
White potato: 12
Combined: 30
Probability of white potato:
12/30
2/5
All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes
A) Always
In a perfect sphere the centre is an equal distance from any point from the surface.
THANK YOU!!
∝ Sidhdi
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
What is
Mean
Medium
And Mode
Answer:
mean is the average value in the list.
first you add all number, then divide that value by the total number in the list
lets say (2,3,4,5)
you add 2+3+4+5 = 15 / 4
4 is the count
you'll get the average.
medium is the middle value in the list, but you should list from least to greatest
mode is repeated value in the list
Answer:
Step-by-step explanation:
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.
The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?
What is the distance between the points (-4,5) and (8,9)
The Brown’s used 50 feet of rope to surround their rectangular garden. The length of the garden is 4 times as much as its width.
Answer:
200 feet
Step-by-step explanation:
What is the volume of this cone?
Answer:
2539.45
Step-by-step explanation:
36/2=18 18=radius
20=height
A=πr(r+h2+r2)=
π·18·(18+202+182)≈
2539.44505
Is 1/4, 1/5, 1/6, or 1/8 closer to 1
Answer:
1/8
Step-by-step explanation:
ingna ko kung wrong
nakasabot ka
can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!
Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)
Please help i dont know if this is right?
"just do it"- adidas
just yolo it
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units
What is the measure of b
Answer:
abcd
Step-by-step explanation:
efg
A 8 foot length of 4 inch wide crown molding costs $15. How much will it cost to buy 38 feet of crown molding?
Answer:
$71.25
Step-by-step explanation:
cost of one feet of molding = $15/8 = $1.875
Cost of 38 feet of crown molding = $1.875 x 38 = $71.25
Becky, an artist, plans to paint and sell some miniature paintings. She just bought some brushes for $1, and paint and canvas for each painting costs $21; she will sell each painting for $22. Once Becky sells a certain number of her paintings, she will be breaking even. How much will Becky have earned? How many paintings will that be?
Answer:
After one unit is sold, Becky will break-even.
Step-by-step explanation:
Giving the following information:
Fixed costs= $1
Unitary variable cost= $21
Selling price= $22
The break-even point is the number of units required to cover the fixed costs after deducting from the selling price the variable components. At this point, net income is zero.
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 1 / (22 - 21)
Break-even point in units= 1
After one unit is sold, Becky will break-even.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)
Felipe calculated that he uses about 545 gallons of fuel each year. His car's owner's manual says that it is approved to use regular fuel. How much money can he save each year by switching from premium fuel, at $4.59 per gallon, to regular fuel at $4.18 per gallon?
$0.41
$2,501.55
$223.45
$2,278.10
$4,779.65
Answer:
$223.45
Step-by-step explanation:
premium fuel: 4.59 x 545
= 2501.55
regular fuel: 4.18 x 545
=2278.1
2501.55-2278.1 = 223.45
Which is equivalent to the expression below?
2k + (−3m ) − 6k + 2m
A. −4k + (−2m)
B. −4k + (−m)
C. 4k − 5m
D. 4k − m
Answer:
−4k + (−m)
Step-by-step explanation:
combined like term:
solve for k: 2k - 6k = -4k
solve for m: -3m + 2m = -1m which is -m
combined together the equation: -4k + -m or it can just be -4k - m
Please help me i don't have that much time
Answer:
D) 128
Step-by-step explanation:
4(0.5)^-5
4(32)
128
Calculate the commission amount for the sale.
7% commission on a $2,560 sale
Answer:
$179.2
Step-by-step explanation:
7% of 2,560 is 179.2