Answer:
Change in elevation= 431 feet/mile marker
Step-by-step explanation:
given data
Elevation at mile marker 4 = 6135 feet
Elevation at mile marker9 = 8290 feet
to find out
average change in elevation
solution
we get here average change in feet per mile marker that is express as
average change in feet per mile = change in elevation ÷ change in mile marker .....................1
put hree value we get
average change in feet per mile = [tex]\frac{8290-6135}{9-4}[/tex]
average change in feet per mile = 431 feet/mile marker
so
Change in elevation= 431 feet/mile marker
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.
Answer:
g(x) = |1/3x|
Step-by-step explanation:
f(x) = |x|
y = f(Cx) 0 < C < 1 stretches it in the x-direction
g(x) = |1/3x|
We can start with: f(x) = |x|
0 < c < 1 means x-direction stretch
y = f(cx)
3 unit horizontal stretch
After: g(x) = |1/3x|
Best of Luck!
Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your answer.)
[tex]f(x) = 6x+2[/tex]
A.
To evaluate f(8), we substitute x with 8 in our expression.
[tex]f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50[/tex]
Answer: f(8) = 50
B.
To evaluate f(x+6), we do the same but substitute x with x+6 instead.
[tex]f(x+6) = 6(x+6) + 2[/tex]
Expand the parenthesis by multiplying 6 with x and 6.
[tex]f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38[/tex]
Answer: f(x+6) = 6x + 38
C.
Again, we're doing the same thing, just substituting x with -x.
[tex]f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2[/tex]
Answer: f(-x) = -6x+2
Answer:
_____________________________________________
[tex] \longmapsto \: f(x) = 6x + 2[/tex]
_____________________________________________
A. [tex]f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓[/tex]
_____________________________________________
B. [tex]f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓[/tex]
_____________________________________________
C. [tex]f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓[/tex]
_____________________________________________
Find the slope and the y-intercept of the following equation y = - x/3 - 4
Answer:
The slope is -x/3 and the y-intercept is -4.
Step-by-step explanation:
If a and bare negative, then a + b is also negative.
Step-by-step explanation:
Example: -2+-5
It can also be written as -2-5.
How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.
-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.
hope it helps!
What is the value of x?
5 + 2/3x = -x + 20
Please explain:
The value of X is 9.
Solve for x by simplifying both sides of the equation, then isolating the variable.
Solve the quadratic equation for x. What is one of the roots?
2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
Eliminate
C)
1
2
D)
1
5
Answer:
this is the answer to your question
Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80
Answer:
D
Step-by-step explanation:
The equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Alex has 84 quarters and nickels worth a total of $17.80.
As we know,
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
1 dollar = 100 cents
The amount that Alex = 84 quarters + $17.80
q = 84 quarters + $17.80
q is the number of quarters Alex has.
Remaining nickel value = 84 - q
In cents:
= 0.05(84 - q)
q in cents:
= 0.25q
0.05(84 - q) + 0.25q = 17.80
Thus, the equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.
✓
a.
3x + 5°
5x - 57°
Answer:
b
Step-by-step explanation:
In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
which of these numbers is between 2 and -3 on the number line
Evaluate 3|-3|. helppppppppppp
Answer:9
Step-by-step explanation:when an absolute value has a negative it turns to a positive which makes this problem 3x3
Answer:
9
Step-by-step explanation:
3×-3= -9
absolute value of -9 is 9
At the fair the ratio of male to females was 8:6. If there are 112 people at the fair how many males are there?
Answer:
64
Step-by-step explanation:
Let the common multiplier of the given ratio be x.
Therefore,
Number of males = 8x
Number of females = 6x
[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]
Solve for x. 6x+11=3x-10
What is .33 converted to a fraction in simplest form
Answer: 33/100
Step-by-step explanation:
.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.
The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)
Answer:
A) (3,7)
Step-by-step explanation:
If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)
Answer:
A) (3,7)
Step-by-step explanation:
if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.
I will give brainliest and thank you to whoever helps/answers this
Answer:
0 0 6
0 6 0
6 0 0
Step-by-step explanation:
Simple place value
What is the image point of (0,1) after a translation right 5 units and up 5 units
Answer:
5, 6
Step-by-step explanation:
Answer:
5,6
Step-by-step explanation:
Solve |7x+42| =14x. Identify the solution and an extraneous solution.
Answer:
x = 140.3333333........
Step-by-step explanation:
17x+421 = 14x
move the numbers with x's to the left and 421 to the right so it makes
17x then 14x is positive but moved to the opposite side it becomes negative.
Then 421 is positive on the left so moved to the right makes it negative.
Which is 17x-14x=(-421)
then you do 17x mines 14x which is 3x
3x = (-421)
Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.
x = 140.3333333..........
Answer:
Solution: x = 6;
Extraneous Solution: x = - 2
Step-by-step explanation:
6(1 + 5n) − 6n = 174
Answer:
N=7
Step-by-step explanation:
1. Distribute the 6 into the parentheses
6+30n-6n=174
2.combine like terms
6+24n=174
3. Subtract 6 on both sides
24n=168
4.now divide
24/24 cancels out 24/168 is what 7 soooo
n=7
Is 7, 695 divided by 855 positive or negative?
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative will always be negative.
Answer:
if they are both positive its positive
if ones positive and ones negitive its negative
if they are both negative its positive
Step-by-step explanation:
The endpoints of AB are at A(1, -6) and B(7,-3). Find the coordinate of the midpoint M of the
segment.
Answer:
(4,-9/2)
Step-by-step explanation:
(1+7/2,-6-3/2)
(4,-9/2)
Twenty people are members of a local bowling club. Eight of them are men. What percentage of the
bowling team are women?
Answer:
60% of them are women 40% are men
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob’s checking account?
Answer:
$702.53
Step-by-step explanation:
178.74
36,52+18.92+25.93=81.37
178.74-81.37=97.37
300+100+205.16=605.16
605.16+97.37=702.53
The final balance is 702.53 dollars.
A student is trying to find the sum of 5/6 + 3/4 + 1/5 They first tried to use 24 as a common denominator. Why does 24 not work as a common denominator?
Answer:
24 does not work as a common denominator because it is not the Lowest Common Multiple of 6, 4 and 5.
Step-by-step explanation:
In that above question, we are told that:
A student is trying to find the sum of 5/6 + 3/4 + 1/5
Step 1
The first step would be to find the Lowest Common Multiple of the denominators (6, 4, 5).
Lowest Common Multiple can be defined as the number that is the lowest quantity of the multiple of 2 or 3 number.
The lowest common multiple for 6, 4, 5 = 60. This is that number that the 3 denominators can be divided in
Hence,
5/6 + 3/4 + 1/5
= 5 × 10 + 3 × 15 + 12× 1/60
= 50 + 45 + 12/60
= 107/60
= 1 47/60
24 does not work because it is not the Lowest Common Multiple of 6, 4 and 5.
The lowest common multiple for the 3 denominators = 60, therefore 60 should be used.
D
Question 1
(02.03)
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement? (4 points)
Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
Solve each literal equation for the given variable y=x+12;x
Answer:
Step-by-step explanation:
x + 12 = y
x = y - 12
What is the mode of these numbers? 2, 5, 10, 16, 25, 30 Thanks! (will give brainliest)
Answer:
There is no mode for the given sets of data.
Step-by-step explanation:
The values given all appear once and mode is the number that appears the most in a given set of data.
Answer:
it's none cause all of them show the same number of times.
Step-by-step explanation:
Mode is asking what number out of all the numbers shows the most.
PLEASE HELP MY BIRTHDAY WILL BE CANCELLED IF I DONT GET A GOOD GRADE ON THIS
Answer:
Option 4
Step-by-step explanation:
If the circle is filled in them it will be either ≤, ≥, ≈ .
One circle is open one is closed
eric planted a seedling in his garden
Answer:
how is this a question......