[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
Answer:
[tex]c = 0.35 x + 24[/tex]
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
[tex]c = 0.35x + 24[/tex]
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
Please help, due date is tomorrow
Answer:
1/4 is on the second line
3/8 is the the third one
3/8 is bigger
Hope This Helps!!!
Answer:
Hope this helps you.......
If f(x)= x2 - 4x - 4, find the input values that make the function 0.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
Simplify these expressions
a) x^5 x x^2
b) y^5 x y
Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?
Answer:
27
Step-by-step explanation:
2 x 9 = 18 so
3 x 9 = 27 so that means its 27
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
There are 42 students separated into 6 groups for a field trip. How many students are in each group
Answer:
There is 7 students in each group
Step-by-step explanation:
So it's basically easy math 42 divided by 6 equals 7 :)
Hopes This Helps :)
Plz I need help with this I am struggling failing math
Answer:
CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]
Step-by-step explanation:
Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).
Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.
4x + 1 = 9x - 4
Solving for x,
1 = 5x - 4
5 = 5x
1 = x
Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.
The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].
that was sooo good !
Write x² + 4x +5 in the form (x + a)² +b where a and b are integers.
Answer:
this is your answer
Step-by-step explanation:
This is you answer
Answer:
Complete the square
Step-by-step explanation:
5 meals cost 20 how much would 15 meals be
Answer:
15 meals would be $60
Step-by-step explanation:
15 ÷ 5 = 3
1. 5 = 20
2. 5 = 20
3. 5 = 20
15 = 60
Hope this helps! :)
GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!
Answer:
Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!
Step-by-step explanation:
1+1 pls omg its impossible
Answer:
it equals 11 haha !
Step-by-step explanation:
have a great day/night :)
Answer:
2
Step-by-step explanation:
1 + 1 = 2
This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d. 50.6%
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answer:
geometric (each term is multiplied by 3)
Step-by-step explanation:
can someone teach me how to do this?
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
May someone help me with this please?
Answer:
Count to 2 and add 3/8
Step-by-step explanation:
For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
https://brainly.com/question/16037289
Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).
Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.
Is the 4% increase enough to ride faster than Manuel? yes or no.
As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.
Answer:
9.984, can't tell.
Step-by-step explanation:
9.6 increased by 4% is
9.6 * 1.04 = 9.984 mph.
We don't know from this how fast Manuel rides.
I watch television from 5 o clock until half past. How long do I watch for?
Answer:
5:30
Step-by-step explanation:
Important info:
watch television from 5 o clock until Half Past.
Question to Answer:
How long did you watch.
Note:
Half of 1 Hour = 30 Minutes
Solution:
5:30
Therefore You watch television until 5:30
pls hurry will mark brainliest pls show
solve the move step equation
- 7x + 8 = 6x - 44
Answer: The answer is X = 4.
Answer:
x = 4
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
First, subtract 6x and 8 from both sides of the equation:
-7x (-6x) + 8 (-8) = 6x (-6x) - 44 (-8)
-7x - 6x = -44 - 8
-13x = -52
Next, fully isolate the variable, x, by dividing -13 from both sides of the equation:
(-13x)/-13 = (-52)/-13
x = -52/-13 = 4
x = 4 is your answer.
~
HELP MEEEEEEEEEEEEEEEE!!!
Answer:
enlargement: >1reduction: <11: same sizeStep-by-step explanation:
The scale factor of an enlargement is greater than 1.
The scale factor of a reduction is less than 1.
A scale factor of 1 will produce a congruent figure, one the same size as the original.
_____
A longer way to say it
A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...
(greater than original)/(original) = greater than 1
Similarly, a figure is reduced when its dimensions are less than those of the original:
(less than original)/(original) = less than 1
Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.
6.3 rounded to the nearest whole number pls help me!!
Answer:
6
Step-by-step explanation:
Since .3 is below .5, you would not round 6 up to 7.
Algebra Find the values of x and y.
Step-by-step explanation:
hope this help you::::::::::)
1. The price of one share of a stock fell 4 dollars each day for 8 days. How
much value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.
Step-by-step explanation:
1.
$4 for 8 days. that means $4 on each and every day, 8 times.
so, in total that is 4 × 8 = $32
that is how multiplications work.
m×n means that m is added n times (or vice versa and n is added m times).
2.
similar here.
$25 each time the customer missed a payment. and he missed 4 times that year.
the bank returned the fees for all 4 occasions. so,
returned money = 25 × 4 = $100
Could y’all help me out with this?
Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
For more validation, refer to the attached image
Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30 mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute
The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute
How many solutions does this equation have?
–2b − 9 = –b
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
pls answer quickly
Students at a school were asked to state their preferences in music. Results of the survey are shown in the circle chart.
What percent of students preferred rock and classical music?
A) 15%
B) 26%
C) 39%
D) 57%
Answer:
B) 26%
Step-by-step explanation:
The yellow part of the graph represents Rock, which is 15%, and the red part of the graph represents Classical. So, you simply add them together.
Answer:
B) 26%.
Step-by-step explanation:
Find the Rock percentage in the chart. (15%)
Find the Classical percentage in the chart. (11%)
Add the Rock and Classical percentages together. (26%)