Answer:
g(4) = [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]
_______
[tex] \: [/tex]
[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]
[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]
[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]
[tex] \sf{g(4) = \frac{10}{22}} [/tex]
[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]
Write y - 3 = 1/3(x - 12) in standard form
Step-by-step explanation:
y-3=1/3x -4
add add four
y+1=1/3x
divide 1/3 into 1
y+3=x
Answer:
x - 3y = 3
This is the answer in standard form.
A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing 10,000 per month .What is the company most likely doing under the new president?
Answer:
Earning 10,000 per month.
Step-by-step explanation:
Since a "180" usually refers to an opposite, the opposite of "losing 10,000 per month" would happen.
So, the company would be earning money instead of losing money.
What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?
Answer:
1970.2 cubic inches
Step-by-step explanation:
please mark me as brainliest
PLEASE HELP MEEEE!!!!!!!!!
Answer:
a) 1,144 rad/min
b) 182.1 rev/min
Step-by-step explanation:
d= 24 inches
radius = 24/2 or 12 inches
speed = 13mi/h
need to convert speed to inches/min
v = Θ * r
1 mile = 63360 inches, and 1 hour = 60 min
13 mi * (63360 in / mi)
= 823680 in / (1 hr * 60 min / hr)
=13728 in/min
Now go back to the equation
13728 in / min = ω * 12 in
13728 /12 = Θ
1,144 rad/min
b) 1 revolution = 2π
w= Θ/2π
w= 1,144rad/ min/2pi rad
w= 182.1 rev/min
Simplify: (1 – 8) – (2 – 9).
________
[tex] \: [/tex]
(1 - 8) - (2 - 9) = ...
= (-7) - (-7)
= -7 + 7
= 7 - 7
= 0
Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
making random guesses for the combination?
Answer: 1/96059601
Don't break in
Step-by-step explanation:
First we need to find how many combinations there are.
We can find that by multiplying the four different number of options which in this case are all 99.
99 * 99 * 99 * 99
= 96059601
There are 96059601 different combinations and one correct combination.
So, the chance of them getting it is 1/96059601
It is definitely not a nice number so probably don't try and break in.
Please look at the picture for question.
Answer:
Step 1
Step-by-step explanation:
h/0.5 = 7
In step 1, he need to multiply 0.5 on both sides.
Instead, he divided 0.5 to 7 ( i.e ) 7/0.5, This is the mistake.
The correct solution,
Step 1 :
h/0.5 • 0.5 = 7 • 0.5
Step 2 :
h = 14
It takes Rick, traveling 36mph, 40 minutes longer to go a certain distance than it takes Evelyn traveling at 84mph. Find the distance traveled
d = r · t and we know that the distance is the same.
Let x = time it takes Evelyn (in hours, since the rate is mph).
Evelyn's distance is 84x.
Rick's distance is 36·(x+2/3) since 40 minutes longer is 2/3 of an hour longer
84x = 36(x+2/3)
84x = 36x + 24
48x = 24
x = 1/2
So it takes Evelyn 1/2 an hour, meaning the distance is 84(1/2) = 42 miles
To confirm this, it would take Rick 42/36 hours or 1 and 1/6 hours. That's 70 minutes, which is 40 minutes longer than Evelyn's 1/2 hour trip.
The distance is 42 miles.
What is the range of the relation graphed below?
Answer:
a
Step-by-step explanation:
aling mely bought 1 3/4kg of cashew nuts, 5/8 od peanuts, and 1 1/2 kg of pimnuts.how many kilogram of nuts did she buy.
Answer:
Aling Mely buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]
Genesis mows lawns during the weekend in order
to earn extra money. She can mow 1/3 of a lawn
in 1/6 of an hour. How many lawns can Genesis
mow per hour?
Answer:
two lawns.....
...........
Genesis can mow 2 lawns per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Genesis mows in 1/6 hour =1/3 lawns
To find, mow per hour,
∴ in 1/6 hours =1/3 lawn,
⇒1 hour = 6×1/3 lawn
⇒1 hour = 2 lawns.
So, In 1 hour, Genesis can mow 2 lawns.
To learn more about Ratio on :
https://brainly.com/question/13419413
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Learn with an example
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Watch a tutorial
Que:
ansv
Find the slope of the line that passes through (9, 3) and (2,8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
pls make sure to round to nearest cent is necessary
Please answer
A=
B=
C=
Answer:
I can't see the file
Step-by-step explanation:
Please help asap! really important!!
Answer:
4th graph
6th graph
3rd graph
Step-by-step explanation:
Linear = y = x + 3
it is 4th graph
when you substitute x = 0 y is 3
and when y = 0 x is -3
Quadratic = y = 3x^2
It is 6th graph
for both positive and negative values of x, y is rapidly increasing
Exponential = y = 3^x
it is 3rd graph
for x = 0 y value is 1 because 3^0 = 1
for positive values of x, y is exponentially rising
for negative values of x it is nearly almost touches zero
due right now help ill mark you brainly if its correct
Answer:
all but 1/6
Step-by-step explanation:
Answer:
2/6 3/9 4/12 are the answers
PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5
Answer:
5/8
Step-by-step explanation:
First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.
How are congruent angles and congruent segments similar?
Help help help help help
Answer:
x>22
Step-by-step explanation:
3(x+4)>18
3x+12> 54
3x>66
x>22
WILL MARK BRAINLIEST <3 Each of the letters in the word "HANDIWORK" are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will fall between "F" and "Q" in the alphabet?
5/9
3/9
1/2
7/9
The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given the word "HANDIWORK", the total letters in the word are 9 letters.Total outcome = 9 lettersFor the number of events, we will have to find the letters between F and Q in the "HANDIWORK". The letters are n(E) = {H, N, I, O, K}Hence n(E) = 5Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9
Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9
Learn more here: https://brainly.com/question/13604758
Add.
18 5/12 + 8 10/17 + 23 7/12 +28 7/17=?????????????????????????????????????????????????
Answer: 79
Step-by-step explanation:
answer this problem with the picutre
Answer:
75
Step-by-step explanation:
If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.
Find (gxf) when f(x)=5x-7 and g(x)=2x+3
Answer:
10[tex]x^{2}[/tex]+x-21
Step-by-step explanation:
you just do (5x-7)(2x+3) and foil it out
PLEASE HELP ME NO LINKS PLEASE
Answer:
Step-by-step explanation:Class 1 :
mean= 78.83(rounded) median=88 range= 55
Class 2:
mean= 79.42 (rounded) median=85.5 range= 60
Class 3:
mean= 79.42 (rounded) median=78 range =45
What is the opposite of 8/7
Answer:
7/8
Step-by-step explanation:
i know
Answer:
7/8 XD
Step-by-step explanation:
what is the important variable in the problem?
Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
what's the sum of 14 12 8 6
Answer:
40
Step-by-step explanation:
14 + 12 + 8 + 6 = 40
Answer:
40
Step-by-step explanation:
14+12=26+8=34+6=40
what would the answer be for:
2 −5−24.
with full steps.
who can prove 2+2=5
Answer:
saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya
Answer:
i can see a really tiny 0.5 next to both of them
2.5+2.5=5
tadaaaaa
Step-by-step explanation:
Hamid needs to find the height of a parallelogram. The base is 3 inches long and the area is 30 square inches. What is the height?
Step 2 of 2: Finally, solve the problem by substituting in the appropriate values. (Round your answer to 2 decimal places if necessary.)
Answer:
the height is 10 inches
Step-by-step explanation:
area of a parallelogram is base times height
3h=30
divide both sides by 3
h=10
Answer:
area is base times height the base us 3 inches the area is 30 inches 3 times 10 is 30 so 10 is the height