Answer:
the answer is A
Step-by-step explanation:
hope it helped
Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?
Answer:
x=4
Step-by-step explanation:
on edge
The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We are given the function as;
log₇(3x²+x)-log₇x=2
Domian: 3x²+x>0
x(3x+1)>0
x∈(-∞,-1/3)U(0,∞)
Hence, x∈(0,∞), Thus x∈(0,∞)
In this problem we use the following formula:
[tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]
Learn more about logarithm here:
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i will give brainleist if right!
A circular garden has a diameter of 10 yards. What is the area of the garden?
Use 3.14 for T.
A. 78.5 yd2
B. 31.4 yd2
C. 314 yd2
D. 39.25 yd2
SUBMIT
Answer:
A
Step-by-step explanation:
Answer: a
Step-by-step explanation:
Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?
Answer:
y = 10x+5
Step-by-step explanation:
The price of each T-shirt = $10
Design fee on each T-shirt = $5
We need to find the expression for the total cost. Let the total cost be y. So,
Let he has ordered x T-shirts. So,
y = 10x+5
Hence, this is the required solution.
A meat seller bought 250kg of meat fo GHC 224 At what price per kg should he retail it in order to make proft of 25%
Answer:
GHC1.19
Step-by-step explanation:
Given data
Mass of meat= 250kg
Cost of meat= GHC 224
cost price per kg
=224/250
=GHC 0.896 per kg
% profit= selling-cost/selling*100
let the selling price be x
25= x- 0.896/x*100
0.25= x-0.896/x
cross multiply
0.25x=x- 0.896
0.25x-x= - 0.896
0.75x= 0.896
x= 0.896/0.75
x=GHC1.19
Please answer this ASAP!!!
Answer:
a) (tri)ABC ~ (tri)CDE
b) AA
Step-by-step explanation:
a) Given in the question (the triangles are similar)
b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.
Student Council is selling tickets to the Winter
Dance. Tickets cost $5 per person or $8 per
couple. To cover expenses, at least $1200
worth of tickets must be sold. No more than 500
students can fit in the gym where the dance is
being held.
List two combinations of tickets that could be sold, so
that Student Council makes a profit, yet stays under the
room capacity.
Answer:
Two possible combinations are;
1) 200 single and 30 couples
2) 150 single and 57 couples
Step-by-step explanation:
The given parameter in the question are;
The cost of ticket per person = $5
The cost of tickets per couple = $8
The minimum worth of tickets to be sold = $1,200
The maximum number of students that can fit in the gym = 500
Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;
5·x + 8·y ≥ 1,200
x + y ≤ 500
Making 'y' the subject of both equations gives;
y ≥ 150 - 5·x/8
y ≤ 500 - x
From the graph of the inequalities created with Microsoft Excel, we have;
When x = 200, and y = 30, we get;
5 × 200 + 8 × 30 = 1240 > 1200
200 + 30 × 2 = 460 < 500
We also have;
x = 150, and y = 57, we get
Equating both values of 'y', we get;
5 × 150 + 8 × 57 = 1206 > 1200
150 + 57 × 2 = 264 < 500
Therefore, from the acceptable region in the graph, we have the following two possible combinations
1) 200 single and 30 couples
2) 150 single and 57 couples
what is a slope of a line between the x-axis and y-axis
Answer:
Mercedes, look at the graph i'm attaching... do you see ? what's the slope?
Step-by-step explanation:
Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp
(-3,-4)&(-2,-8)
find the slope between the two points
Answer:
Step-by-step explanation:
Givens
y2 = - 4
y1 = - 8
x2 = - 3
x1 = - 2
==========
Equation
m = (y2 - y1) / (x2 - x1)
m = (-4 - - 8) / (-3 - - 2)
m = 4 / - 1
m = - 4
Answer:
(1, -4)
Step-by-step explanation:
(-3, -4) >> (x1, y1)
(-2, -8) >> (x2, y2)
(y2 - y1) -8 - (-4) = -4
----------- >>>
(x2 - x1) -2 - (-3) = 1
x always goes first in a coordinate, so
(1, -4)
Hope this helped ;)
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Decrease £843 by 91% rounded to 2 DP
Answer:
Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
91% = 91/100 = 91 ÷ 100 = 0.91.
100% = 100/100 = 100 ÷ 100 = 1.
Decrease number by 91% of its value.
Percentage decrease = 91% × 843
New value = 843 - Percentage decrease
Calculate the New Value
New value =
843 - Percentage decrease =
843 - (91% × 843) =
843 - 91% × 843 =
(1 - 91%) × 843 =
(100% - 91%) × 843 =
9% × 843 =
9 ÷ 100 × 843 =
9 × 843 ÷ 100 =
7,587 ÷ 100 =
75.87
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 843 =
75.87 - 843 =
- 767.13
Proof.
Calculate percentage decrease:
Percentage decrease =
91% × 843 =
91 ÷ 100 × 843 =
91 × 843 ÷ 100 =
76,713 ÷ 100 =
767.13
Step-by-step explanation:
Hope it is helpful....
please please please please help me
Sim porque positivo não fecha
how many cups of each were sold
Answer:
how many cups of what were sold
Step-by-step explanation:
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What is the measure, in degrees, of angle x?
A
26.8
B
47.8
C
116.8
D
296.8
The answer is C
Step-by-step explanation:
180-63.2
One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!
Answer:
1.6
Step-by-step explanation:
Given :
X/4 = 2/5
To solve for X ;
We can use cross multiplication ; multiply opposite values :
X * 5 = 2 * 4
5X = 8
To isolate X ;
Divide both sides by 5
5X/5 = 8/5
X = 8/5
X = 1.6
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
PLZ HELPPPP ILL GIVE BRAINLIEST
Answer:
(A).
Step-by-step explanation:
yo my boy look at the problem first because that was so easy
Simplify each expression. Show all work from credit.
Plz help me
Answer:
1. = 1 because any numbers to the power 0 is one
2. = 1/64
3.= b^15 base same power added up
helllllllllllllllllllppppppppp!!!!!!!!!!!!!!!!!!!!!!!!
pleeeeeeeeeeeease
Answer:
1:5 is the ratio so 1 cow for every 5 sheep, 2 cows for 10 sheep and 3 cows for 15 sheep.
Step-by-step explanation:
To prepare for a party, Jada poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into the cups.
Answer: 20 cups
Step-by-step explanation:
Question would like to know the number of cups that Jada poured juice into.
If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:
= Total juice poured / Quantity per cup
= 9 litres/ 0.45 litres per cup
= 20 cups
What is the value of X
Answer:
11=x
Step-by-step explanation:
since the lines are parallel the distances between each section of line is proportional to each other.
5/6=(x-1)/12
multiply both sides by 12
12(5/6)=(x-1)12/12
10=(x-1)
add 1 to both sides
10+1=x-1+1
11=x
I hope that helps :)
HELP WILL MARK BARINLIEST IF RIGHT!!!
Step-by-step explanation:
Hence the value of x is 70.14cm.
what is the volume PLEASE HELP
Answer:
270 m
Step-by-step explanation:
You would do 10 times 9 which is 90 then you would do half of 6 which is 3 then you do 90 times 3 which is and thats your answer.
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
PLEASE HELP ME ASAPPPP
Answer:
The answer is
90 degrees the first one is I don't know about the rest sorry
Step-by-step explanation:
what are the answers to these 2 questions? pls help! thank u
Answer:
The first answer is no
two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number
The second answer is yes because they are all equal and make a straight line
Step-by-step explanation:
How many years will it take for $3,000 to double at a simple interest rate of 2%?
A. 2 years
B. 5 years
C. 10 years
D. 50 years
Answer:
3000=3000*0.02t
3000/60=t
t=50 yrs
Step-by-step explanation:
We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?
Answer:
Sine
Step-by-step explanation:
Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.
SOH represents Sine, Opposite, Hypotenuse.
Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse
So, sine will be used.
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answer:
b) 50
Step-by-step explanation:
750/15 = 50
x = (y/2) - 1
Please help me find the answer.
Answer:
Step-by-step explanation:
Well you didn't give directions on what to solve for,
I'm gonna assume you want to solve for y
x = (y/2) - 1 (add 1 to both sides)
x + 1 = y/2 (multiply both sides by 2)
2(x + 1) = y (distribute the 2)
y = 2x + 2