2.006
+ 6.001
__________
8.007
So, therefor, the answer is 8.007.
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:
https://brainly.com/question/20835449
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Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?
Step-by-step explanation:
5 360
8 x
5x=360•8
x=576miles
Solve by graphing
|1x - 1| = |2x - 5|
Answer:
x=4 or x=2
Step-by-step explanation:
A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks
Answer:
The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)
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
A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?
Answer:
45 cents
Step-by-step explanation:
HELP ME PLASE IM BEGGING YOU
Answer:
5x+4
Step-by-step explanation:
(7x+1)-(2x-3)
Remove parentheses
=7x+1-(2x-3)
=7x+1-2x+3
Simplify
7x+1-2x+3=5x+4
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
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?
heyy could you help me out with this question I have been stuck in this question??
1. El perímetro de la figura que se muestra es:
a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8
Answer:
I think is C 19x2+20y+16
PLEASE HELPPP
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
A g, h, i
Step-by-step explanation
A set of collinear points all lie on the same line
Answer:
sf
Step-by-step explanation:
sf
Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?
Answer:
She will be paid $684
convert 5000 mm = ____ cm
Answer:
it's 500 cm
HOPE THIS HELPS
Step-by-step explanation:
Answer:
500 cm
Step-by-step explanation:
i did the math
A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?
Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Step-by-step explanation:
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.
A is incorrect because the size of the shape doesn't change when getting reflected.
B and D is incorrect because just by looking at the shape D is not equal to A' or B'
Hope this helps!!
What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm
Answer:
12
Step-by-step explanation:
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
a square has a side length of (x-7) a what is the area?
Answer:
4x+28
Step-by-step explanation:
As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?
Answer:
Step-by-step explanation:
1.5ft(12in/ft)(2.54cm/in)=45.72cm
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?
Answer:
Step-by-step explanation:
Try n = 2
2n = 4
n^2 = 4
n+5 = 7 That works. It will make a triangle since the 2 smallest numbers are bigger than 7
Try n = 3
2n = 6
n^2 = 9
n + 5 = 8 That works. Same reason as above.
n = 4
2n = 8
n^2 = 16
n + 5 = 9 That works. Same reason.
n = 5
2n = 10
n^2 = 25
n+5 = 10 Aha! That doesn't work. the two smaller numbers only = 20.
There are likely many numbers that don't work. I'll try one more
n = 6
2n = 12
n + 5 = 11
n^2 = 36 This won't work either. Same reason as n = 5.
Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°
Answer:
c
Step-by-step explanation:
i just did it
HELP WILL MARK BARINLIEST IF RIGHT!!!
Step-by-step explanation:
Hence the value of x is 70.14cm.
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
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.
GEOMETRY. Need help i will give brainliest
Answer:
x = 10
Step-by-step explanation:
If two tangent segments are drawn to a circle from an external point, then those segments are congruent.
x+11 = 2x+ 1
x = 10
Answer:
x=10
Step-by-step explanation:
x+11=2x+1
x+10=2x
10=2x-x
x=10
Brillianst!!!!!
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
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
Apply the Distributive Property to Simplify the Expression
3(36)
Answer:
108
Step-by-step explanation: