A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
Answers
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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Related Questions
simplify (q+8)2 please help, thank you
Answers
q^2 +16q+64
All you have to do is substitute the exponent two.
Q by itself is q squared: q^2
Q times 8 is 8q, and because of exponent you have to double it, which gives you 16q.
And 8 times itself is 64.
Hope this helps
What formula do I use for this? How do I get the points to graph?
Answers
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answers
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
63 POINTS JUST NEED ANSWER NO EXPLANATION NEEDED A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 23 ft. Round to the nearest tenth, if necessary.
Answers
Answer:
\(60ft^3\)
Step-by-step explanation:
\(\frac{92}{240} =\frac{23}{x} \\\\92x=23*240\\92x=5520\\x=5520/92\\x=60\)
Find tan(B) in the triangle.
Answers
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15
20. (01.03 MC)
What is the simplified expression
? (1 point)
Answers
Answer:
\(\displaystyle 3^2\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: \(\displaystyle b^m \cdot b^n = b^{m + n}\)Exponential Rule [Dividing]: \(\displaystyle \frac{b^m}{b^n} = b^{m - n}\)Step-by-step explanation:
Step 1: Define
\(\displaystyle \frac{3^3 \cdot 3^3}{3^4}\)
Step 2: Simplify
[ER] Multiply: \(\displaystyle \frac{3^{3+3}}{3^4}\)Add Exponents: \(\displaystyle \frac{3^6}{3^4}\)[ER] Divide: \(\displaystyle 3^{6 - 4}\)Subtract Exponents: \(\displaystyle 3^2\)
A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end
to end, then how many inches will they cover? *
Answers
Answer:
48 1/3
Step-by-step explanation:
Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3"). ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answers
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
6. Which of the following equations represents the data in the table?
Х
-4
0
4
8
y
5
2
-1
-4
O A. y = x + 2
O B. y = -x + 2
oc. y = x + 8
OD. y = -
3 + 8
M
Answers
Answer:
Step-by-step explanation:
6. Which of the following equations represents the data in the table?
Х
-4
0
4
8
y
5
2
-1
-4
O A. y = x + 2
O B. y = -x + 2
oc. y = x + 8
OD. y = -
3 + 8
M
help plzzzzzzzzzzzzzzzzzzzzz
Three people P,Q and R contribute to a fund. provides 3/5 of the total,Q provides 2/3 of the reminder and R provides £8. Determine;
(a)the total of the fund
(b)the contribution of P and Q
Answers
Answer:
a: £60
b: P = £36, Q = £24
Step-by-step explanation:
first find the total fraction contributed by P and Q:
3/5 + 2/3 of the remaining
3/5 = 9/15, the remainder of the fund is 6/15
so to add 2/3 of the remainder, we add 2/3 of 6 which is 4
9/15 + 4/15 = 13/15 so, in total P and Q contribute 13/15
this means that R contributes the rest which is 2/15 and we know he contributes £8, therefore 2/15 = £8 and 1/15 = £4
to find the total of the fund (15/15), we do 4 x 15 to get £60.
to find P's contribution (9/15), we do 4 x 9 to get £36.
to find Q's contribution (6/15), we do 4 x 6 to get £24.
hope this helps :)
Given right triangle � � � ABC with altitude � � ‾ BD drawn to hypotenuse � � ‾ AC . If � � = 22 AD=22 and � � = 15 , DC=15, what is the length of � � ‾ BD in simplest radical form?
Answers
The length of BD is 18.5 units.
In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.
Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.
In triangle ABD, we have the following sides:
AB = AD = 22 (given)
BD = ?
Now, let's consider triangle CBD. In this triangle, we have the following sides:
BC = DC = 15 (given)
BD = ?
Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.
The area of triangle ABD can be calculated as:
Area(ABD) = (1/2) * AB * BD
Similarly, the area of triangle CBD can be calculated as:
Area(CBD) = (1/2) * BC * BD
Since the areas of ABD and CBD are equal, we can equate their expressions:
(1/2) * AB * BD = (1/2) * BC * BD
We can cancel out the common factor (1/2) and solve for BD:
AB * BD = BC * BD
Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:
AB = BC
In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.
BD is equal to half of the hypotenuse AC:
BD = (1/2) * AC
Substituting the given values, we have:
BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5
Therefore, the length of BD is 18.5 units.
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Use 5 squares each with a side of 2 cm to make a shape that has a perimeter of 20 cm
Answers
Given:
Let us take 5 squares each with a side of 2 cm.
To make: The shape that has a perimeter of 20cm
Explanation:
Let us draw the shape as follows,
We know that the sum of all outer sides of the shape is the perimeter.
So, the perimeter of the above shape is 20.
1) The perimeter of a rectangular garden is 344M. If the width of the garden is 76M, what is its length?
Equation:
Solution:
(I need the equation and solution)
2) The area of a rectangular window is 7315CM^2 (^2 is squared). If the length of the window is 95CM, what is its width?
Equation:
Solution:
(Once again, I need the equation and solution)
3) The perimeter of a rectangular garden is 5/8 mile. If the width of the garden is 3/16 mile, what is its length?
4) The area of a rectangular window is 8256M^2 (^2 is squared). If the length of the window is 86M, what is its width?
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98M, find its length and width.
6) The perimeter of the pentagon below is 58 units. Find VW. Write your answer without variables.
Answers
The length of the rectangle is 96 m, the width of the rectangle is 77 cm , the length of the rectangle is 1/8 mile, the length and width of the rectangle is 7 m and 42 m respectively, VW is 11 units.
According to the question,
1) Perimeter of rectangle = 344 M
Width = 76 M
Perimeter of rectangle = 2(length + width)
2(length+76) = 344
length+76 = 172
length = 172-76
Length of the rectangle = 96 M
2) Area of a rectangular window = 7315 \(cm^{2}\)
Length of the window is 95 cm.
Area of rectangle = length*width
95*width = 7315
width = 7315/95
Width of the rectangle = 77 cm
3) The perimeter of a rectangular garden is 5/8 mile.
The width of the garden is 3/16 mile.
Perimeter of rectangle = 2(length+width)
2(length+3/16) = 5/8
length+3/16 = 5/(2*8)
length = 5/16-3/16
Length of the rectangle = 2/16 or 1/8 mile
4) The area of a rectangular window is 8256 \(m^{2}\).
The length of the window is 86 m.
Area of rectangle = length*width
86*width = 8256
width = 8256/86
Width of the rectangle = 96 m
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98 m.
Let's take width of the rectangle to be x m.
Length of rectangle = 6x m
2(length+width) = 98
2(6x+x) = 98
2*7x = 98
14x = 98
x = 98/14
x = 7 m
Width = 7 m
Length = 7*6 m or 42 m
6) The perimeter of the pentagon is 58 units.
3z+10+z+3+2z-1+10 = 58
6z+10+3-1+10 = 58
6z+22 = 58
6z = 58-22
6z = 36
z = 36/6
z = 6 units
VW = 2z-1
VW = 2*6-1
VW = 12-1
VW = 11 units
Hence, the answer to 1 is 96 m , 2 is 77 cm, 3 is 1/8 mile , 4 is 96 m , 5 is 7 m and 42 m and 6 is 11 units.
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The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
Answers
Step-by-step explanation:
let's write this properly :
f(x) = x³
g(x) = (x - 7)³ + 9
this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).
so, the original (0, 0) point corresponds to (7, 9).
I NEED HELP PLEASE HELP MEEEEEEEEEEEEEEEEE
Answers
Answer:
C
Step-by-step explanation:
She is reading 15 pages a day so the arrow is going up
please help me this is for school and it was due yesterday but my teacher was nice enough to let me work on it today please help i go to bed very soon!!!!
Answers
Answer: 3,5
Step-by-step explanation: Left mean that you are moving along the x axis. The coordinates are 6(x), and 5(y). You do not need to do anything to the y coordinates, because you're moving along the x axis. So, all you have to do is imagine a number line. You are at 6, and you have to move 3 to the left, or the negative directions. You will be at 3,5.
Scientists have put together bones to make a T-Rex skull that has a mass of 600 pounds. They just found a new tooth fossil to add to the skull that has a mass of 40 ounces. How many pounds is the T-Rex skull with the new tooth?
Answers
Answer:
16 ounces = 1 pound
meaning 2.5 pounds is added to the skull, 602.5 pounds.
Step-by-step explanation:
Answer:
have a good day
Step-by-step explanation:
hope it helps
Help me please. Thank you if you do.
Answers
Answer:
X = 18
y = 45
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Pls help with this !!!
Answers
The given graph shown in the image is a function, Option b is correct.
Given that,
A graph is shown, and we have to determine whether the graph shown is a function or not.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
The graph shows of a curve representing an exponential function,
There is why the graph shown is a function, and also the graph is continuous and as well as differentiable.
Thus, the given graph shown in the image is a function, Option b is correct.
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How many tens are in 20,000? (Answer in simple words!) Example: "38 tens", or "48 tens"
Answers
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
Answers
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
What is the value of x. I’ll give BRAINLIEST. Please
Answers
The Answer Would Be 6 Because The Larger Triangle Is 3 Times The Size Of The Smaller Triangle.
Answer:
6
Step-by-step explanation:
CB/ZY = AC/XZ
CB = 2 * 12/4 = 6
((BONUS POINTS!!)
Destinee was asked to rewrite the equation below in slope-intercept form.
Identify her error and correctly find the slope-intercept form of the equation. Then, identify the slope and y-intercept
6x + 2y = 10
-2y -2y
-------------------
6x = -2y + 10
---- -----------
6x 6x
X = -1/3y + 5/3
Answers
The equation is rewritten in slope-intercept form as y = -3x + 5.
Slope = -3; y-intercept = 5.
What is the Equation of a Line in Slope-intercept Form?The equation of any given line, when written in the slope-intercept form is expressed as y = mx + b, where:
the slope = mthe y-intercept = b.Given the equation in standard form as 6x + 2y = 10, rewrite the equation in slope-intercept form as explained in the steps below:
6x + 2y = 10
2y = -6x + 10 [subtraction property of equality]
Divide both sides by 2
2y/2 = -6x/2 + 10/2
y = -3x + 5
The equation is y = -3x + 5, Destinee didn't rewrite the equation correctly because he subtracted 2y from both sides rather.
The slope of y = -3x + 5 is -3.
The y-intercept of the equation is 5.
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Find u. v.
U V=
(8, 2)
= (-6, 3)
U =
V =
Answers
Answer:
-42
Step-by-step explanation:
Assuming you want the dot product,
(8)(-6)+(2)(3)= -42
Keyla has one pizza. She wants to share her pizza
with her 5 tiends (and herself) How much pizza will
each person receive!
Answers
1/6=1/6 or 0,17 of the pizza
Answer:
1/6 or 16.7%
Step-by-step explanation:
1 (herself)
5 (her friends)
1 + 5 = 6
1/6 ≃ 0.167 ≃16.7%
Hope this helps!
Which of the following symbols could correctly finish the statement. Select all that apply.
-|6| ___ 6
>
≥
<
=
≠
≤
Answers
Answer:
<
Step-by-step explanation:
-|6| = -6
-6<6
If 12 donkeys can load a barge in 75 minutes, how long will it take
donkeys to load.
Answers
Bookwork code: C20
Calculator
not allowed
56.481 = 50+6+0.4+0.08
+0.001
Use this example to work out the missing number in this sum:
35.149 = 30 + 5 +0.1+
+ 0.009
4
-
Answers
Based on the information provided, the missing number, in this case, would be 0.04.
How to calculate the missing number?Addition is one of the four main operations used in math, as its name indicates in addition we need to add or combine numbers. Based on this principle, let's add number by number to find the total we have, and then let's use subtraction to find the missing number. This means after we add all the numbers we will subtract the total, which is 35.149.
The process is shown below:
\(30 + 5 = 35\\35 + 0.1 = 35.1\\35.1 + 0.009 = 35.109\\\\35.149 - 35.109 = 0.04\\35.109 + 0.04 = 35.149\)
Therefore the missing number is 0.04.
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HELP PLEASE Which of the following properties completes the proof?
Given: x – 6 = 4. Prove: x = 10
A) Subtraction Property of Equality
B) Reflexive Property of Equality
C) Transitive Property of Equality
D) Addition Property of Equality
Answers
Answer:
D
Step-by-step explanation:
how much would $300 invested at 4% interest compounded monthly be worth after 8 years? round your answer to the nearest cent
Answers
Answer:
412.92
Step-by-step explanation:
\(A = P(1+\frac{r}{n} )^{nt}\)
A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years
We have P = 300
r = 4% = 0.04
n = 12 (compounded monthly)
t = 8
\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)