9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
[tex]\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}[/tex]
Find f(2) given f(x) = -3x^3 + x^2 – 3
Answer:
D
Step-by-step explanation:
f(x) = -3x^3 + x^2 – 3 f(2) means that wherever you see a x, put in a 2.
f(2)= -3(2)^3 + (2)^2 - 3
f(2) = -3*8 + 4 - 3
f(2) = - 24 + 1
f(2) = - 23
[tex]\\ \sf \longmapsto f(2)[/tex]
[tex]\\ \sf \longmapsto -3(2)^3+(2)^2-3[/tex]
[tex]\\ \sf \longmapsto -3(8)+4-3[/tex]
[tex]\\ \sf \longmapsto -24+1[/tex]
[tex]\\ \sf \longmapsto -23[/tex]
As part of an enterprise day, Guramar and Gurnam baked 4 cakes. They gave 1/2 of one cake away to the staff. In the morning they sold 2 1/3 cakes and in the afternoon they sold 1 1/8. How much cake did they have left?
9514 1404 393
Answer:
1/24 of a cake
Step-by-step explanation:
The remaining amount of cake was ...
4 -1/2 -2 1/3 -1 1/8 = 4 -12/24 -2 8/24 - 1 3/24 = (4 -2 -1) -(12 +8 +3)/24
= 1 -23/24 = 1/24
1/24 of a cake was left
_____
Basically, crumbs.
HELP ILL GIVE BRAINLIESTTTT
Evaluate and simplify the expression
when a = 3 and b = 2.
3b – 2(1 – b)
[?]
a - 2
Answer:
11
Step-by-step explanation:
plz watch all steps in pic
Which statements are true of functions? Check all that apply.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Write the number 12794.5 in scientific notation.
Answer:
the other guy is wrong the answer is 1.27945 × 10 but then 10 is to the power of 4 but I do not know how to type that.
Step-by-step explanation:
To convert 12794.5 into scientific notation, follow these steps:
1. Move the decimal 4 times to left in the number so that the resulting number, m = 1.27945, is greater than or equal to 1 but less than 10
2. Since we moved the decimal to the left the exponent n is positive
n = 4
3. Write in the scientific notation form, m × 10 to the power of n
= 1.27945 × 10 to the power of 4
Therefore, the decimal number 12794.5 written in scientific notation is 1.27945 × 10to the power of 4 and it has 6 significant figures.
1106.666667 To the nearest whole number
Answer:
1107.
You are rounding up because the number in the tenths slot is over 5.
a contractor charges $1200 for 100 square feet of roofing installed. at this rate how much does it to have 1,100 square feet installed
Answer:
$13,200
Step-by-step explanation:
if 100 square feet = $1,200
1,100 square feet = $13,200
Fill in the blanks.
(3b^3)^2 = _b^_
We can seperate (3b³) into two different parts, the constant and the variable.
The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:
3² = 9
(b³)² = [tex]b^{6}[/tex]
So, [tex](3b^{3})^{2} = 9b^{6}[/tex]
Simplify the product. (–7) + (–7) + (–7) + (–7)
Answer:
-28
Step-by-step explanation:
(–7) + (–7) + (–7) + (–7)
=> -7 -7 -7 -7
=> - 28
What is the equation of a horizontal line passing through the point (-7,5)?
Oy = 5
Oy = -7
Ox=5
Ox= - 7
Answer:
1st option, y = 5
Step-by-step explanation:
when the line is horizontal, it's parallel to the x axis
Answer:
y = 5
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 7, 5 ) with y- coordinate 5 , then
y = 5 ← is the equation of the line
need actual help.
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.
Answer:
I think the value of first number is30.
Find the multiplicative inverse of: -3/7 X -4/9
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{21}{4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\---------------\\\rightarrow -\frac{3}{7} * -\frac{4}{9}\\\\\rightarrow \frac{12}{63} \\\\\rightarrow \frac{12/3}{63/3}\\\\\rightarrow\boxed{\frac{4}{21}}\\--------------\\\rightarrow \frac{4}{21}* x= 1\\\\\rightarrow (21)*\frac{4}{21}x= 1(21)\\\\\rightarrow 4x=21\\\\\rightarrow \frac{4x=21}{4}\\\\\rightarrow \boxed{x=\frac{21}{4}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If a textbook costs £7.80, how many can be bought for £101.40?
Answer:
13 textbook can buy.
Step-by-step explanation:
13 textbook can buy.
Divide total by price per book:
101.40 / 7.80 = 13
13 books can be bought
what is twice the amount of 86
Answer:
172
Step-by-step explanation:
[tex]86[/tex] × 2 = 172
The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers
Answer:
Hello,
Answer : 1400 and 1575
Step-by-step explanation:
Let's say a and b the ywo numbers
[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]
Find the area in the right tail more extreme than z=0.93 in standard normal distribution, rounded to three decimal places.
Answer:
17.62%
Step-by-step explanation:
z→ ρ
0.93 (L)0.82381 (R)0.17619
17.62% / 82.38%
The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.
What is a normal distribution of data?A normal distribution of data occurs when the majority of data points are relatively similar and the data set has a small range of values.
We need to find the area in the right tail more extreme than z=0.93 in standard normal distribution.
Here, z=0.93
z→ ρ
The mean ( the population mean, at 0.93 standard deviation units, and it represents an area that is, 17.619% of the total area of the standard distribution).
In this normal distribution, every given score is a z-score. A z-score explain us the distance from the mean in standard deviation units.
A = 17.62% / 82.38%
Hence, The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.
Learn more about standard deviation and variance:
https://brainly.com/question/11448982
#SPJ2
please solve thanks!
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line so they add to 180
5x-5 + 2x+10 = 180
Combine like terms
7x +5 = 180
Subtract 5 from each side
7x+5-5 = 180-5
7x = 175
Divide by 7
7x/7 = 175/7
x = 25
Answer:
the value of x = 25
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
✌️
Devy likes to learn! Could someone please tell me how to answer this question?
If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).
On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).
On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).
On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
Answer:
B
Step-by-step explanation:
Recall that if two functions, f and g, are inverses, then by definition:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
Hence, the graph of f(g(x)) should be simply y = x.
Therefore, our answer is B, as both coordinates are equivalent for all three points.
Please help !!!!!!! Asap
Answer:
A, C, E, G
Step-by-step explanation:
Basic set operation
HELP WHAT DOES THIS EVEN MEAN [CRY]
[tex]\\ \sf\longmapsto A=πr^2[/tex]
[tex]\\ \sf\longmapsto A=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto A=3.14(25)[/tex]
[tex]\\ \sf\longmapsto A=78.5cm^2[/tex]
Cho f là hàm chẵn, g là hàm lẻ. Tính giá trị của (g∘f)(−4,7), biết g(5,9)=7,9 và f(4,7)=5,9.
Step-by-step explanation:
yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)
Answer:
1
Step-by-step explanation:
First, find the inverse of the original function.
x = 2y + 2
x-2/2
Second, substitute x with 4 and solve.
4-2/2
2/2
1
Best of Luck!
If f(x) = 2x + 2 is invertible, then its inverse is another function f ⁻¹(x) such that
f(f ⁻¹(x)) = 2 f ⁻¹(x) + 2 = x
Solve for f ⁻¹(x) :
2 f ⁻¹(x) + 2 = x
2 f ⁻¹(x) = x - 2
f ⁻¹(x) = (x - 2)/2 = x/2 - 1
Then when x = 4, we have f ⁻¹ (4) = 4/2 - 1 = 2 - 1 = 1.
first person to coment on this gets a brainliest
Answer:
..?.
Step-by-step explanation:
At which times could Rory's phone have been plugged into the charger? Select three options.
Answer:
what three options bro where are the options
Answer:
9 hours, 11 hours, 19 hours.
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of
$750. What was the rate charged per hour by each mechanic if the sum of the two rates was $105 per hour?
Step-by-step explanation:
let's convert the statement into equation..
let the charge of 1st mechanic be x and second be y..
by the question..
10x+5y=750...(i)
x+y=105..(ii)
from eqn(ii)..
x+y=105
or, x=105-y...(iii)
substituting the value of x in eqn (i)..
10x+5y=750
or, 10(105-y)+5y=750
or, 1050-10y+5y=750
or, 1050-750=5y
or, y=300/5
•°• y=60
substituting the value of y in eqn(iii).
x=105-y
or, x=105-60
•°• x= 45..
the rate charged by two mechanics per hour was 60$ and 45$
f(x)=1/3x+7 find inverse
Answer:
Step-by-step explanation:
Turn 1 1/5 to improper fraction
Answer:
6/5
Explanation:
Step 1
Multiply the denominator by the whole number
5 × 1 = 5
Step 2
Add the answer from Step 1 to the numerator
5 + 1 = 6
Step 3
Write answer from Step 2 over the denominator
6/5I hope this answer helps you out! Brainliest would be appreciated.Identify the x-intercept point(s) of the parabola.
A) (0,3) and (-1,0)
B) (3,0)
C) (3,0) and (0,3)
D) (-1,0) and (3,0)
Answer:
D
Step-by-step explanation:
First of all, there are 2 different points. That lets out B.
The graph crosses the x axis at 3 and -1 Those two are x values. That lets out C and A.
So all you are left with is D. The y values have to be 0. The x values are 3 and - 1
The quotient of -8 and the sum of a and b
Hi! I'm happy to help!
To solve this, you need to know what all of the terms mean. Quotient means division, and sum means addition. Knowing this we can set up our expression.
Because there is an operation inside of an operation (addition inside of division) we use parenthesis.
-8÷(a+b)
I hope this was helpful, keep learning! :D
Find QR. please help I’m so lost on this I’ve done it i don’t know how many times. And got it wrong.
Answer:
Step-by-step explanation:
Using the theorem of the middle in a triangle:
[tex]2x+22=\dfrac{x+20}{2} \\\\4x+44=x+20\ cross\ products\\\\3x=-24\\\\x=-8\\[/tex]