Answer:
y= -x + 6
please mark as brainliest
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Which of the following fractions is equivalent to -88/248 in least common terms?
Answer:
Its would be A -11/31
Step-by-step explanation:
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Will mark brainliest!!!solve for each variable
someone pls hurry and help !
The ability to influence another is a function of ______
= Dependency
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.
Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
What value of P makes the equation true?
2.5 + 0.15p = 0.4p
p = ___
Step-by-step explanation:
2.5 + 0.15p = 0.4p
0.25p = 2.5 (subtract 0.15p on both sides)
p = 10 (multiply 4 on both sides)
Answer:
[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]
10 is the right answer.
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
here’s the other one
Answer:
it is A
Step-by-step explanation:
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.
Answer:
15
Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15
What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?
Answer:
the answer is 3x^2 + 8x + 1
Step-by-step explanation:
(I used x as the variable due to the invalid difference of variables in your question )
To find the correct answer, I had to use polynomial division.
(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)
= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)
= 3 x 2 + 8 x + 1
Find the value of x. Then classify the triangle by its angles.
Answer:
x
Step-by-step explanation:
sorry idol grade 8 lng ako eh sensya kana godbless
What is the volume of the rectangular prism?
Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3
Answer:
3 1/3 FT 3
Step-by-step explanation:
im not sure if this right but i tried lol
Answer:
There is not enough info you need to add a picture of the box to measure it.
Which equation is equivalent to 10=3/2(2x+4)?
a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12
Answer
the answer should be C. 10=3x+6
Teagan was building a fence around his lawn.
The area of his lawn was 36 sq. yds. His lawn is a
square. How much fencing will he need?
Step-by-step explanation:
36×2=72
he will need 18 inches fencing
Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?
Answer:
initial velocity = 15 m/s
final velicity = 0 m/s
time required = 10sec
Formula is V = U + at
0 = 15 + a 10
-15 ÷ 10 = acc
acc = - 1.5 m/s^2
plz give branlist
In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which is the graph of y= -x + 2?
Answer:
Its A
Step-by-step explanation:
y intercept equal 2 so it must intersect at 2 on the y axis and it must go down because its a negative function
Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.
Hello!
[tex]\large\boxed{9 \%}[/tex]
To find the percent tax, use the equation:
[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]
Substitute in the given values:
[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]
Multiply by 100 to find the percent tax:
[tex]0.09 * 100 = 9\%[/tex]
Answer: Its 9%
Step-by-step explanation:
HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answer:
Step-by-step explanation:
The answer is (A)
Find the measure of angle B
(9x+2) (5x-4)
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
Triangle TSR is similar to Triangle TNM
Which statement below is true?
Answer:
[tex]\overline{SR}\sim \overline{NM}[/tex]
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.
The diagram shows a right-angled triangle,
Calculate the value of x.
Answer:
x = 12
Step-by-step explanation:
[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]
[tex]5x + 120 = 180[/tex]
[tex]5x = 180 - 120[/tex]
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5} = 12[/tex]
Answer:
x = 12°
Step-by-step explanation:
[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]
Hey ill give brainlist
Answer:
[tex]2.\:\frac{41}{9}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].
Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].
Answer:
B is correct answer.................