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.
Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 143 miles east and 45 miles north. Carol lives in Coconutville, located 98 miles east and 32 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving?
Answer:
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour
Step-by-step explanation:
The given information are;
The location of Bananatown from Appletown = 143 miles east and 45 miles north
The location of Coconutville from Appletown = 98 miles east and 32 miles south
Taking Appletown as the origin, we have;
The slope, gradient of highway 42 = 45/143
The equation of a line representing highway 42 is given as follows;
y - 0 = 45/143 × (x - 0)
y = 45/143·x
Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north
Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles
Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles
Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles
The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91
The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91 miles
The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈ 3.33 hours
The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.
The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours
Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour
The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.
What is the equation of the line that passes through the point (-3,6) and has a slope of -2?
Answer:
y = -2x
Step-by-step explanation:
The equation of a line in point slope form is
y-y1 = m(x-x1)
Where m is the slope and (x1,y1) is a point on the line
y - 6 = -2(x- -3)
y - 6 = -2(x+3)
Distribute
y-6 = -2x-6
Add 6 to each side
y-6+6 = -2x-6+6
y = -2x
Answer:
Step-by-step explanation:
y - 6 = -2(x + 3)
y - 6 = -2x - 6
y = -2x
What ratio is equivalent to 3 to 8
Answer:
6 to 16
Step-by-step explanation:
There are a lot of equivalent equations but you can't simplify 3 to 8.
Answer:
If you were to multiply both by 2 you would get a new ratio: 6 to 16
Step-by-step explanation:
As long as you multiply both 3 and 8 by the same number you will get a ratio that is equal to 3:8
Hope this helps!
A governmental entity has formally integrated the budget into its accounting records and uses encumbrance accounting. During the year the government ordered but had not yet received a new police car. What effect will this event have on the unencumbered balance in the account "Expenditures—capital outlay, police department"?
Answer: a. The balance in the account will not be affected until the police car is received
Step-by-step explanation:
The options are:
a)The balance in the account will not be affected until the police car is received.
b)The balance in the account will be increased.
c)The balance in the account will be decreased.
d)Purchase orders never affect any budgetary account balances.
Unencumbered balance is typically used in governmental accounting and it refers to part of an appropriation not spent yet. In governmental accounting, this is the part of the funds available that's left and hasn't been used yet.
Based on the information given, the effect that this will event will have on the unencumbered balance in the account will be that the balance in the account will not be affected until the police car is received.
Angle x is ___ degrees ASAP DUE IN A HOUR
Answer:
122°
Step-by-step explanation:
180-58=122
you minus angle BCA from 180 is because a straight line is 180 degrees
Answer:it would probably be 180 because it is a straight line
Step-by-step explanation:
Determine the slope of a line that is Perpendicular to the line that goes
through the points (-3, 8) and (-9,3)
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)
m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]
Help me out please and thank you
Answer:
the solution for x is -5.
Step-by-step explanation:
more of the quest pls....and more important is the brainliest
simplifying radicals pt.3 please help ASAP and explain if possible
Answer: It would be the first option. 15√6
Step-by-step explanation:
5√3 = 5x3=15
√18= √9x2
√9=3
√3x2= √6
15√6
how many solutions does an inconsistent system of equations have?
Answer:
An inconsistent system doesn't have a solution.
What is 2 ÷ 1/6?
A. 1/12
B. 2
C. 6
D. 12
Answer: 12 (D)
Step-by-step explanation:
Hey there! If you have any questions, feel free to them in the comments below.
Step 1: Use this rule [tex]a / \frac{b}{c} = a * \frac{c}{b}.[/tex]
2 * 6
Step 2: Simplify.
12
~I hope this helped you! :)~
Answer:
Step-by-step explanation:
here you go mate
step 1
2 ÷ 1/6 equation
step 2
(2)(6) multiply the two numbers
answer
12
The right triangle has a big square with an area of 73 sq. units . What could the area of the small squares be .
9514 1404 393
Answer:
E. 40 and 33
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the areas of the smaller squares will match the area of the largest square.
The answer choices have sums of ...
A: 76; B: 73; C: 96; D: 66; E: 73
So, choices with the correct sum are B and E.
If this question asks you to "choose all that apply," then B & E will be your answer choices.
__
We note that the areas of the smaller squares appear to be not much different in size. If their areas were 23 and 50, the smaller square would be less than half the size of the larger one. So, if the figure is drawn approximately to scale, the choice of 40 and 33 is a better choice.
the nearest interger Estimate 923 to
Answer:
I think that the answer should be 920
Step-by-step explanation:
I think that an integer is a whole number so I rounded to the nearest 10th.
So that's why I think that the answer should be 920.
Correct me If I'm wrong
Hope I Helped
What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
149°
0
A rational function in the form axm+.../bxn+... has a slant (oblique) asymptote when ________.
PLEASE HELP
Answer:
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Step-by-step explanation:
Answer:
first question is 25
next question is 12
the last question is 1/16
Answer:
what
Step-by-step explanation:
What is the slope of the line that passes through the points (-5,0) and (7,8)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
(-5, 0) -> means x1 = -5. y1 = 0
(7, 8) -> means x2 = 7 , y2 = 8
Substitute these values into the slope formula above and you get:
[tex]m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}[/tex]
The slope of the line that passes through the points (-5,0) and (7,8) is 2/3
The formula for calculating the slope of a line is expressed as:
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{8-0}{7-(-5)} \\m=\frac{8}{7+5}\\m=\frac{8}12} \\m= \frac{2}{3}\\[/tex]
Hence the slope of the line that passes through the points (-5,0) and (7,8) is 2/3
Learn more here: https://brainly.com/question/12922257
help me please!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
Which angles are supplementary to each other
-0.2525 rational or not
Answer:
NOT
Step-by-step explanation:
Rational.
Round it...
-0.25
Turn it into a fraction...
-25/100.
It can be a fraction. Thus, it is rational.
I'll mark u the brainliest if u answer this
Answer:
Option B
m<1 + m<2 = 180-m<3
Explanation:
This is how you will find the third interior angle of a triangle when two angles are already given.
pls help i don’t understand
Answer:
the decimal number is 19
Answer:
Step-by-step explanation:
3.8/0.2 = 19.0
Ms. Psenicska is going to Detroit, Michigan. The cost for two different travel packages is shown in the table.
Package 1 Package 2
$175 S250
Roundtrip Ticket
(per person
Hotel Cost
(per night)
$60
$45
Answer:
y= 45x + 60 if you are just doing the hotel cost. y= 45x + 235 package one and y= 45x + 310 package two if you are including the cost of the travel packages.
Solve x3 = 64 over 27
Answer:
x= 4/3
Step-by-step explanation:
Answer:
Hope it helps
Step-by-step explanation:
So you want to get x by itself.
x3= [tex]\frac{64}{27}[/tex]
You could simplify
x3=2.37037037037
Then just divide 3 on both sides
x=0.79012345679
Or you can divide a fraction by a whole number and just divide the numerator and the denominator by 3.
x= [tex]\frac{21.3}{9}[/tex] or just 2.36666666667.
Find the y intercept
x-3y = 12
Help plz
Answer:
15
Step-by-step explanation:
Because 15 -3 will give you 12
Answer:
the y intercept is -4 or (0,4)
Step-by-step explanation:
To find the y intercept you have to make x zero, and vice versa. So:
0-3y = 12
-3y = 12
y = 12/-3
y = -4
the y intercept is -4 or (0,4)
8
Which angles are vertical angles?
6
5
Answer:
angle 8 and angle 5
Step-by-step explanation:
Find the points of the equation 3x – 7y= 21 which intersects the x - axis and y-axis.❤THANKS YOU
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the x-intercept ;
Just need to put 0((zero)) instead of y in the equation.
Let's do it....
3x - 7y = 21
3x - 7(0) = 21
3x - 0 = 21
3x = 21
Divided sides by 3
3 / 3 × x = 21 / 3
x = 7
Thus the x-intercept is 7 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the y-intercept ;
Just need to put 0((zero)) instead of x in the equation.
Let's do it....
3x - 7y = 21
3(0) - 7y = 21
0 - 7y = 21
-7y = 21
Divided sides by -7
-7 / -7 × y = 21 / -7
y = - 3
Thus the y-intercept is -3.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which expression is equivalent to |8| + |-7|?
O -15
O -1
O 1
O 15
Please someone do I need the answer thx :)
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8
Find the M_ABC in the diagram below.
A
B
(16y-12)
(12y + 8)
E
Answer:
where is the diagram
Step-by-step explanation:
The slope of the line below is -2
Option D is the correct answer
Greg has 5 baseball bats that have lengths of: 3/4 yards, 2/3 yards, 1/2 yards, 7/8 yards, 1 1/8 yards. What is the difference in length between his longest and shortest bats?
Answer:
1 1/8-4/8= 3/8
Step-by-step explanation:
Make sure they all have the same common denominator (24). Then pick out the smallest number and largest number,, and subtract.