The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)
According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.
By the inverse function theorem,
[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
Write the number for twenty-six million seven hundred thousand.
Answer:
The answer is 26,700,000
Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.
Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
y = -3x
Step-by-step explanation:
Due in 5 mins help please!!!
Answer:
answer B is correct answer!
I think so
what is negative 6 + 5 and 1/4?=
Answer:
negative 0.75
Step-by-step explanation:
negative 6 + 5 is negative 1
divide 1/4 wich is 0.25 then
0.25 + negative 1 is negative 0.75
PLEASEEE HELPPP!!!!!
Answer:
-5+.3
Step-by-step explanation:
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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
Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?
Answer:
706.5
(there is no hundredths place)
Step-by-step explanation:
r=15
a= pi × r²
3.14×15²
15²=225
3.14×225=706.5
Which lines of A, B, and C are perpendicular?
Answer:
a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1
Step-by-step explanation:
perpendicular slopes multiplied by each other would be -1
-1/3 * 3 for a and both other lines is -1
that means a is perpendicular to both b and c
Can someone Please help me on this easy math problem
Answer:
114
x_shun
jdebh
jejeu
Determine which relation is a function.
Question options:
{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}
{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}
Answer:
the correct answer is option ( C )
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
https://brainly.com/question/14569348
#SPJ12
-3 * a number j equals -120
Answer:
j = 40
Step-by-step explanation:
"-3 * a number " means -3j
"equals -120" means = -120
-3j = -120
j = 40
Find the slope given the the two points
Answer:
the answer is 2
Step-by-step explanation:
use the slope equation
y^1-y^2/x^1-x^2
-1-(-5)/1-(-1)
4/2
2
A jug contains 600 milliliters (mL) of
water. Water is poured out of the jug at a
constant rate of 40 mL per second. The
amount of water, y, left in the jug after x
seconds is y= 600 – 40x.
-
How much water is left in the jug after 6
seconds?
600-40x6=
40x6=240
600-240=360
Answer: 360 (mL) Remain in the jug after 6 seconds.
Hope This Helps.
PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
pleaseeeeeee helpppppppp
Answer:
B) Multiplying by 0
Step-by-step explanation:
This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.
Hope this helped :)
Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answer:
[tex]y=10x+24[/tex]
Step-by-step explanation:
Find the derivative of the function
[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]
Determine the slope of p(t) at t=3:
[tex]p'(3)=6(3)-8=18-8=10[/tex]
Find p(3):
[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]6=10(3)+b[/tex]
[tex]6=30+b[/tex]
[tex]-24=b[/tex]
Final equation:
[tex]y=10x-24[/tex]
What angle are these?
Answer:
Corresponding Angles and Alternate Exterior
Step-by-step explanation:
The angles are corresponding if same side in a parallel.
This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.
For the other problems if they are opposite sides from one another.
They are called alternate exteriors.
this states that you can multiply the addends of a number and then add the products.
Answer:
Distributive Property
Step-by-step explanation:
This is my best guess because you didn't put the topic or give an more information.
A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches
IT IS NOT D, I TRIED IT AND IT DOESNT WORK!
or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Find the EXACT distance between the two points.
(9, 31) and (12, 25)
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.
and so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a, b being the legs.
so,
the x difference is 9-12 = -3
the y difference is 31-25 = 6
therefore,
distance² = (-3)² + 6² = 9 + 36 = 45
distance = sqrt(45) = 6.708203932...
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Watch a tutorial
Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
-8
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]
[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]
[tex]9-1=8[/tex]
[tex]4-5=-1[/tex]
[tex]= -8[/tex]
Hope this helps.
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
) Kora is working on a scrapbooking project. She buys packages of stickers at two different stores.
The price of the stickers at each store is p dollars, but each store offers a different discount
Discount on Packages of Stickers
• Which expression represents the total price Kora
pays for 5 packages of stickers at Store A and
3 packages of stickers at Store B?
3{p - 100) + 512 -0.75) 5(p+1.00 +3(p+0.75)
Store A $1.00 off each package
Store B $0.75 off each package
5(p - 1.00) + 3(p -0.75)
3(p+1.00) + 5(p +0.75)
The expression that can be used to represent the total price is 3(p - $0.75) + 5(p - $1).
The expression that can be used to determine the total amount spent in store A is:
number of stickers bought x ( price of the item - discount) number of stickers bought = 5 price of the stickers = p discount = $15(p - $1)
The expression that can be used to determine the total amount spent in store B is:
number of stickers bought x ( price of the item - discount) number of stickers bought = 3 price of the stickers = p discount = $0.753(p - $0.75)
Total price = 3(p - $0.75) + 5(p - $1)
A similar question was solved here: https://brainly.com/question/25717996
Please find attached an image with the complete question.
which graph appears to show a proportional relationship between x and y
Answer:
What graph?
Step-by-step explanation:
No wonder why you have been waiting 25+ mins to get an answer
help po plsss !!!!!!!
Answer:
q2 =is tens
q4 is ones
q5 is tens
q8 is ones
q9 is tens
Step-by-step explanation:
I am not sure for these answers
q1 is hundreds
q3is hundreds
q7 is thousands
more I don't know
Answer:
1) Tenths
2) Hundredths
3) Tenths
4) Thousandths
5) Hundredths
6) Tens
7) Tenths
8) Ten Thousandths
9) Ten Thousandths
10) Tenths
1) 0.84
2) 0.7
3) 0.5
Brainliest would be appreciated. :-)