Answer:
Step-by-step explanation:
d - 262 = z
One number is eight less than a second number. Four times the first is 4 more than 5 times the second. Find the numbers
Question 958954: One number is five less than a second number. Five times the first is eight more than two times the second. Find the numbers.
hope this helps!
On a map, 2.5 inches represents 300 miles. How many miles are represented by 6 inches?
А .05 miles
00
.40 miles
С
600 miles
D
720 miles
Answer:
D. 720 miles
Step-by-step explanation:
First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.
A map of 720 miles represented by 6 inches.
It is given that 2.5 inches represent 300 miles.
It is required to find the miles represented by 6 inches.
How many miles are represented by 6 inches?First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.
In 2.5 inches, the map represents 300 miles.
In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.
So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.
Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.
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evaluate 6 to the power of -3
Use exponent rule: x^-y = 1/x^y
6^-3
= 1/6^3
= 1/216
Best of Luck!
Review the graphs of f(x) = –x5 + 2x4 + 1 and g(x), which is a translation of f(x).
On a coordinate plane, g (x) curves down through (negative 3, 3) to (negative 2, 1) and then curves up to (negative 0.5, 3.8). It then curves down through (0, 0) into quadrant 4. y = f (x) curves down through (negative 1, 3) to (0, 1) and then curves up to (1.5, 3.8). It then curves down through (2, 0).
How can g(x) be expressed in terms of f(x)?
g(x) = (–x5 + 2x4 + 1) + 2
g(x) = –(x + 2)5 + 2(x + 2)4 + 1
g(x) = (–x5 + 2x4 + 1) – 2
g(x) = –(x – 2)5 + 2(x – 2)4 + 1
Answer:
choice B
g(x) = –(x + 2)5 + 2(x + 2)4 + 1
The function g(x) can be represented in terms of f(x) like this:
g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.
Hence, 4th option is the right choice.
What does it mean to translate a graph?The translation is the process of moving a graph horizontally or vertically. To put it another way, each point on the parent graph is translated to the left, right, up, or down, to get the translated graph.
How do we solve the given question?We know that g(x) is a transformation of f(x) = -x⁵ + 2x⁴ + 1.
Since, g(x) is the transformation of f(x) we try to find the relation between the points on f(x) and g(x).
Let the point on f(x) be (x₁, y₁) and that on g(x) be (x₂, y₂).
f(x) passes through the points (-1, 3), (0,1), (1.5, 3.8), and (2, 0).
Corresponding points on g(x) are (-3, 3), (-2, 1), (-0.5, 3.8), and (0, 0).
We can see that the y-coordinate is the same for corresponding points. So, y₂ = y₁.
For the x-coordinate, we see that for every corresponding point on g(x), it is 2 less than the point on f(x). So, x₂ = x₁ - 2.
Now, in the function f(x), we have x = x₁. So to find the function g(x), we substitute the value of x₂ = x₁ - 2 = x - 2 in f(x) to get the equation of g(x).
∴ g(x) = f(x-2)
or, g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.
∴ The function g(x) can be represented in terms of f(x) like this:
g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.
Hence, 4th option is the right choice.
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which graph shows the function f(x)=x with an input of (f(x-3)
please help me asap!!
Answer:
Step-by-step explanation:
B
The correct graph of the function is shown in option (B).
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
The given function is,
f(x) = y = x (1)
To find the graph of f(x -3),
Substitute x = x- 3 in equation (1),
y = x- 3
The slope of the graph is 1,
And the y intercept at x = 0,
y = -3
So the graph of the function y = x - 3 can be plotted as,
Hence option (B) is correct option.
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Need an answer quickly. Left my book at my friends house.
Answer:
A. 3
B. 3/4
C. 1/4
Step-by-step explanation:
1/4 of 12 is 3
3 plus 6 is 9 and 9 is 3/4 of 12
12 minus nine is also three leaving the tank still a 1/4 tank empty
PLease school is almost over HELP 30x+60x=?
Answer:
[tex]90x[/tex]
Step-by-step explanation:
[tex]30x+60x=?[/tex]
If you want to solve this easily, you can just remove x and add 30x + 60x.
[tex]30+60[/tex]
We know that 30 + 60 is 90. So we will add x to 90.
[tex]90x[/tex]
Now you have your answer!
Hope this helps!
Answer:
90x
Step-by-step explanation:
To solve, add 30+60.
30 + 60 is equal to 90.
Add x and it will be 90x.
That is your answer!
Hope I helped!
round 2481.65 to the neartheast 10 tenth
2481.7
^ is the tenth place.
The 5 would either round it up or down by one-tenth. Since we like big numbers... we'll round it to 7 from 6.
Answer:
2481.7
Step-by-step explanation:
Find the number in the tenth place
6
and look one place to the right for the rounding digit
5
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
is the product of which of the following two radical numbers?
Answer:
The third line
Step-by-step explanation:
let's see all choices by solving them
1) The first one
[tex] \sqrt[ 3]{ - 5} \sqrt[3]{3} = \sqrt[3]{ - 15} (negative \: times \: positive \: is \: negative)[/tex]
2) The second one
[tex] \sqrt[3]{5} \sqrt[3]{ - 3} = \sqrt[3]{ - 15} (positive \: times \: negative \: is \: negative)[/tex]
3) The third one
[tex] \sqrt[3]{ - 5} \sqrt[3]{ - 3} = \sqrt[3]{15} (negative \: times \: negative \: is \: positive) \: this \: choice \: is \: the \: answer \: because \: the \: question \: asks \: positive \: radical \: number[/tex]
4) The fourth one
[tex] \sqrt[3]{ - 15} \sqrt[3]{1} = \sqrt[3]{ - 15} (any \: number \: multiply \: by \: one \: is \: it \: self [/tex]
hope u like it ❤️❤️❤️
For any question comment me
Answer:
Step-by-step explanation:
this mean answer is b
-35x+85x-4=26 what is x
3^2 x^4 y^6 Which number is a base in the following expression?
Answer:
I believe it is 3
Step-by-step explanation:
That is the only number variable while the others are letter variables
Which single transformation can be applied to the graph of y = 72 [tex]\sqrt{x}[/tex] to produce the graph of y = 9 [tex]\sqrt{x}[/tex]?
A.vertical translation
xxB.vertical compression
C.horizontal translation
D.horizontal compression
its b
Answer:
B. Vertical Compression
Step-by-step explanation:
You've answered the question; However, I'll assist with the explanation;
Given
Original: [tex]y = 72\sqrt x[/tex]
Translated: [tex]y = 9\sqrt x[/tex]
Required
Determine the type of transformation applied to the original function
Observing both functions, we notice that [tex]\sqrt x[/tex] is a common factor;
This implies that the function was compressed or stretched along the y axis (vertically)
To determine if its vertical compression or stretch;
We have to divide the translated function by the original function;
[tex]Ratio = \frac{9\sqrt x}{72\sqrt x}[/tex]
[tex]Ratio = \frac{9}{72}[/tex]
[tex]Ratio = 0.125[/tex]
Because 0.125 < 1, then the transformation is a vertical compression
Answer:
B
Step-by-step explanation:
A ternary digit is either 0, 1, or 2. How many sequences of 6 ternary digits containing a single 1 and a single 2 are there?
Answer:
30sequences
Step-by-step explanation:
Using nx (n-1)
And
n is the number of ternary digits in the number.
So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.
That is 6(6-1)= 30
Find the missing exponent.
Answer:
-b^14 i think this is te answer but i am also consused
ANSWER AS SOON AS POSSIBLE PLEASE! Jessica has $19. She buys 4 apples for x dollars each. Levi has $30 and buys 7 apples for x dollars each. Write an expression of how much money altogether they would have left?
This is the same as -11x+49
=========================================================
Explanation:
1 apple = x dollars
4 apples = 4x dollars, after multiplying both sides by 4
If Jessica buys 4 apples, then she spends 4x dollars.
Jessica has $19, so she'll have 19-4x dollars leftover after buying those four apples.
Similarly, Levi will have 30-7x dollars leftover when buying 7 apples for x dollars each.
Add up the leftover amounts to get...
(jessica's leftovers) + (Levi's leftovers)
(19-4x)+(30-7x)
19-4x+30-7x
(19+30)+(-4x-7x)
49-11x
This is the same as -11x+49 since you can think of 49-11x as 49+(-11x), and we can add two terms in any order we want.
---------------------------
An alternative viewpoint
Pool up Jessica's and Levi's amount they start with to get 19+30 = 49 dollars
Jessica buys 4 apples and Levi buys 7 apples. In total, this is 4+7 = 11 apples. At x dollars an apple, they spend 11x dollars. So they'll have 49-11x dollars leftover after buying those 11 apples.
Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p = $502.45,r=5.3%,t = 53days The simple interest is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
which is greater, a third of 36 or one-sixth of 138?
Answer:
one-sixth of 138
Step-by-step explanation:
36÷3=12. 138÷6=23
12<23
Therefore, one-sixth of 138 is greater than a third of 36.
What are two things we look for in an equation that can tell us what's NOT in it's domain?
Answer:
1. Value for which denominator is 0.
2. Value for which we get negative sing inside the root or log.
Step-by-step explanation:
Domain is the set of input values.
If a function is not defined for a set of value then they are NOT in it's domain.
Two we look for in an equation that can tell us what's NOT in it's domain :
1. Value for which denominator is 0.
2. Value for which radicand is negative because negative values inside the square roots are not real. Value for which log values are negative because log is not defined for negative values.
Madison's breakfast was a bagel and juice. She spent a total of $4.30.
Madeline spent $6.00 on 2 bagels. How much did Madison pay for her
juice? *
Answer:
$1.30 for juice
Step-by-step explanation:
If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.
What is the answer to 1/7 x 8
Answer:
8/7
Step-by-step explanation:
The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
base, how long is each leg?
Greetings from Brasil...
According to the question of the statement, we can conclude that
PQ = 2B
QR = 2B
PR = base = B
Perimeter = P = 105
P = PQ + QR + PR
105 = 2B + 2B + B
B = 21
PQ = 2B = 42QR = 2B = 42What does the mean and median mean of numbers
Answer:
Mean is all numbers added up divided by the amount of numbers in the set.
Median is the number that occurs the most in a set.
Step-by-step explanation:
If (42)p = 414, what is the value of p? 7 8 12 16
Answer:
the correct answer is not there
Step-by-step explanation:
I'm not sure if "7, 8, 12, and 16" were answer choices but none of those are correct
Step-by-step explanation:
to find the value of p you'd need to divide 441 by 42 and the answer is 9.9
simplify the equation 3(u-6)-7u
Answer:
-4u-18
Step-by-step explanation:
Among all baskets purchased in the South or West neighborhoods, what is the Basket ID of the basket with the largest total revenue? Click here to reference the data needed to answer the question. a. 5531 b. 718 c. 5056 d. None of these choices are correct
Answer:
c. 5056
Step-by-step explanation:
The revenue is maximized when the units sold are increased if the selling price is constant. The basket ID 5056 has more units then the other two baskets and its invoice total is greater than the other baskets. The basket 5056 has largest total revenue to the company.
20 POINTS!!!!! A cartographer is making a city map. Line m represents Murphy Street. The cartographer translates points on line m along the vector angleleft1, −3angleright to draw Nolan Street. Draw the line for Nolan Street on the coordinate plane and complete its equation. What is the image of (0, 3) in this situation?
Answer:
[tex]y=2x-2[/tex] and image of (0,3) is (1,0).
Step-by-step explanation:
From the given graph it is clear that the line of Nolan Street passes through the points (0,-2) and (1,0).
So, the equation of Nolan Street is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{0-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=2x[/tex]
[tex]y=2x-2[/tex]
So, the equation of the Nolan Street is [tex]y=2x-2[/tex].
It is given that the cartographer translates points on line m along the vector <1, −3> to draw Nolan Street. So, the rule of translation is
[tex](x,y)\to (x+1,y-3)[/tex]
The image of (0, 3) in this situation.
[tex](0,3)\to (0+1,3-3)=(1,0)[/tex]
The image of (0,3) is (1,0).
choose all expressions that are equal to 28.3. A. 27 + 0.91 + 0.39 B. 0.01 + 28.02 C. 9.9 + 9.8 + 9.6 D. 0.02 + 28 + 0.28 E. 27.3 + 1
Answer:
i think... a d and e?
Step-by-step explanation:
Caroline spent $41.00 on groceries after using coupons and store discounts. Without the coupons and store discounts, the groceries would have cost $50.00. What is the total discount Caroline received at the grocery store? A. 22% B. 6% C. 9% D. 18% HELP PLEASE I DONT WANNA FAIL MY QUIZ :(=
Answer:
18% trust me i got you bro
Step-by-step explanation:
A high school basketball team won 36% of the games that it played last season. The team won exactly 9 games last season. What is the total number of games that the team played?
Answer: REMEMBER TO RATE 5 STARS AND GIVE ME A HEART, THANKS!!!
The High Shcool Basketball team played a total of 25 games.
Step-by-step explanation:
You take the 9 from the games they won last season and divide it by .36 and that will give you the answer of 25. So 25 is the total games the "High School Basketball Team" won. If you want to double check your answer you can take the answer of 25 and times it by .36 which will equal 9.
Find the simplified product:[tex]\sqrt{2x^{3} }-\sqrt{18x^{5} }[/tex]
Correct Question: Find the simplified product: [tex] \sqrt{2x^3}*\sqrt{18x^5} [/tex]
Answer:
[tex] 6x^4 [/tex]
Step-by-step explanation:
Based on the rules of radicals, since [tex] \sqrt{2x^3} [/tex] and [tex] \sqrt{18x^5} [/tex] has the same index (square root), therefore:
[tex] \sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5} [/tex]
To simplify this, multiply their bases together, and add their exponents.
[tex] = \sqrt{2*18x^{3+5} [/tex]
[tex] = \sqrt{36x^{8} [/tex]
Simplify further
[tex] = \sqrt{36}*\sqrt{x^8} [/tex]
[tex] = \sqrt{6*6}*\sqrt{x^4*x^4} [/tex]
[tex] = 6x^4 [/tex]
Answers For Entire Assignment:
--> Page 1: D, C
Page 2: B, C
Page 3: D
Page 4: B
Page 5: A, C
Page 6: B,C
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