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]
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I need help bad i don’t understand this so plz help
Answer:
B : y axis is parallel
x axis is perpendicular
4: (4,8) (4,10)
5: (4,25)
Step-by-step explanation:
Hope this helps, and if you can please mark me Brainiest.
EXPLAIN how you would graph the line y = 1/3x + 5
Answer:
Okay so this is the best way to explain it, its already in y=mx+b form which is the easiest way to graph something, its where m= slope and b=the y-intercept so 1/3 is m so the slope is 1/3 but first we need to mark the y coordinate which is 5, so on your graph dot (0,5) then from that go up 1 and right 3 then that should be your graph!!! I've included pictures to help you know what it should look like.
Step-by-step explanation:
Please look at pictures below!! This is the best explanation i could give, Hope this helps!!!
The sum of two numbers is 376. The first number is 182
less than the second number. What are the two numbers?
Answer:
376-182=194
so 194 us the 1st
182 is the 2nd
Find the shaded area .
Answer:
152cm^2
Step-by-step explanation:
Find area of whole rectangle = 12 * 18 = 216cm^2
Find area of smaller square = 8 * 8 = 64cm^2
Take away the larger area from the smaller area = 216 - 64 = 152cm^2
(^2 indicates cm squared)
Hope this helps :)
Answer:
Area of the given figure is 152 sq.cm
Step-by-step explanation:
area of given figure (A)
= area of rectangle - area of minor square
=》A = (12 × 18) - (8 × 8)
=》A = 216 - 64
=》A = 152 sq.cm
If a circle is divided into 30 equal parts, what will be the measure of the angle of each part???
Answer:
12 degrees
Step-by-step explanation:
Total angle in a circle = 360 degrees
If a circle is divided into 30 equal parts
measure of each part = Total angle in a circle/Total parts
measure of each part = 360/30
measure of each part = 12 degrees
Hence the measure of each part is 12 degrees
30 [tex]30\geq 5[/tex]
is this a function?
Answer:
NO
Step-by-step explanation:
Which equation below would be perpendicular to the line y = 2?
what is the formula for slope? ALL i need is the formula and if u cant give it to me than dont answer it.
Answer:
The formula for a slope is y2-y1 / x2-x1
Find the unit rate. Explain how you got your answer.
$1.00 for 6 lemons
1:6
i got my answer for using ratios
Which of the following is an equation of the line whose graph is shown in the coordinate plane below?
YO SOMEBODY HELP PLS IM STUCK
Answer:
x > 1
Step-by-step explanation:
subtract 6 from both sides
Divide both sides by 2
Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?
Explain please!
Answer:
2 t-shirts, 3 cd's, 5 books.
Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.
Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)
Answer:
No Solution
Step-by-step explanation:
2(x - 5) = 2(x - 3)
2x -10 = 2x -6 When we subtract 2x from both sides we are left with a false statement.
-10 [tex]\neq[/tex] -6
Thus, no solution.
what is the value of the 6 in 547.675
Answer:
tenths place
Step-by-step explanation:
The 6 is in the tenths place, according to this chart.
HElp please i’m failing and i’m tired of this
Answer:
[tex]\sqrt{4x} =6\\\\(\sqrt{4x} x^{2} =6^{2}\\\\\frac{4x}{4} =\frac{36}{4} \\\\x=9[/tex]
Step-by-step explanation:
i hope it helps
have a nice day ^_^
PLEASE HELP NOW NOW NOW PLEASE PLEASE HELP
Answer:
$46.00
Step-by-step explanation:
$46.00 - $20 + $5 = $21
finish the lyrics
a potoao flew
Around my room before you came.
Answer: around my room before you came
Step-by-step explanation:
Which absolute value expression represents the distance between 3 and
9 /2
on a number line?
A) |3 −
9
2
|
B) |3 − (−
9
2
)|
C) |−3 + (−
9
2
)|
D) |−3 −
9
2
)|
y times the square root of x
Answer:
When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.
Step-by-step explanation:
its there
If $3,840 is
invested in an
account at 5%
annual simple
interest, how long
will it take for the
interest to grow
to $960?
Answer:
5 years
Step-by-step explanation:
5% of $3840 is $192 than divide $960 by $192 and you get 5
The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?
The difference of a number and 4/ 3 is 11/3. what is the number
Answer:
5
Step-by-step explanation:
15/3 - 4/3 = 11/3
15/3 = 5
The difference of a number 5 and 4/ 3 is 11/3.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, the difference of a number and 4/ 3 is 11/3.
Let the unknown number be x.
Here, x-4/3 =11/3
x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)
To add like fractions, add the numerators and keep the denominator same. That is
x= 15/3
x=5
Therefore, the unknown number is 5.
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what comes after 47?
Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?
Answer:
Multiply it by 4 and divide it by 100. It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price. 14300
Step-by-step explanation:
PLEASE rate follow and thank
Answer: 6281
Step-by-step explanation:
what is c - b for six grade math
Answer:
specify?
Step-by-step explanation:
give us a image
If you were to rotate ABCD 180degrees about the origin, what would the coordinate of A' be?
Answer:
5,5
Step-by-step explanation:
name the quadrilateral
Answer:
Step-by-step explanation:
Quadrilaterals
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?
Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].