Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
how to write the ration 4.5 : 2.25 in the form n:1
Answer:
2:1
Step-by-step explanation:
Change the ratio to a fraction
4.5/2.25
Simplifying it gives us
2/1
Change back to ratio form
2:1
What is a limit in calculation.
Answer:
I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value. Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.
Step-by-step explanation:
expand and simplify (x+6)(x+3) helppp
Answer:
hope it helps you
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The average third grader student can read 60 words in five minutes what is the average reading rate per minute
Answer:
12 words a minute
Step-by-step explanation:
To find the answer all you need to do is divide 60/5
Answer:
12
Step-by-step explanation:
60 divided by 5
PLS HELP WILL MARK BRAINLIEST!
Answer:
10 adultsStep-by-step explanation:
Convert 50 kg into pounds:
50*2.2 = 110 lbsNumber of adults the elevator can take:
1200 / 110 = 10 (rounded down)Answer:
The Elevator can hold 10 adults
Step-by-step explanation:
Step 1- Convert kg to lbs to get 110lbs
Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10
Step 3- The elevator can hold 10 adults
-Rocketgamer360
Order from greatest to least: 3.008,3.825,3.09,3.18
Answer:
G: 3.825
3.18
3.09
L: 3.008
Step-by-step explanation:
G is greatest, L is least.
Hope this helps!
the point of concurrency of the angle bisectors of a triangle
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.
Will pick brainliest answer, thank you :)
Answer:
15) (1, 1) and (-1, 1)
16) (1, 2) and (-1, 2)
17 (1,1/2) and (-1, 1/2)
18) (1,1/4) and (-1, 1/4)
19) 16 is vertical stretch, 17 and 18 is vertical compressed
Step-by-step explanation:
for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1
so y is the "a" value in the equation y=ax²
for qs 19
y=ax²
so if a>1 -- then vertical stretch
when 0<a<1 -- then vertical compressed
solve pls brainliest
1. None, it makes a cylinder
2. C
3. B
4. A
Tell whether the rates are equivalent.
0.8 kilometer for every 2 minutes
0.2 kilometer for every 0.5 minute
Answer:
Yes.
Step-by-step explanation:
0.5 minutes is 1/4 of 2 minutes.
0.2 is also 1/4 of 0.8
you get what I'm sayin?
how to solve this.im stuck in this question for 20 mins. Plzz answer
Answer:
Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8
Step-by-step explanation:
Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer
Answer:
2.14
Step-by-step explanation:
15 miles ➗ 7 days = 2.14
Between which two integers does the square root of 117 lie
Answer: 10 and 11 or -11 and -10
Answer:
Step-by-step explanation:
10 and 11 or -10 and -11
YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....
Answer:
Should be second option: (-6.5,-3.5)
The actual coordinates are (-6.4,-3.6) but the points are rounded.
Step-by-step explanation:
Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).
(I've graphed and labeled them for you above btw⤴⤴⤴)
Hope this helps you :)
Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.
HELPPPPPPPPPPPPPPPPPPPPPPPP PLS
Answer:
formulasfrequency=speed/wavelength
f=250/50
f=50hz
Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.
Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.
Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.
Answer:
Step-by-step explanation:
y is a function of x . TRUE
The graph of the relationship is a line. TRUE
The graph of the relationship passes through the origin. - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE
When the input is 6, the output is 14. TRUE
-5(6)+3(14)=12
-30+42=12
12=12
Answer:
y is a function-TRUE
The graph of the relationship is a line-TRUE
The graph of the relationship passes through the origin-FALSE
When the input is 6, the output is 14-TRUE
A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.4 hours. Use r= d/t. (D over T)
Answer:
60 miles
Step-by-step explanation:
1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.
Tell me if I'm wrong :)
find the total tax to the nearest cent $58 bill; 20% tip
Answer:
$ 68 $ 58
Step-by-step explanation:
I'm not sure answer is $ 68 $ 58
b) Express 0.6363......as a rational number in its lowest term.
Answer:
[tex]\frac{7}{11}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x = [tex]\frac{63}{99}[/tex] = [tex]\frac{7}{11}[/tex] ← in simplest form
In my class I have 30 students of them have a birthday in the summer. How many students have
birthdays in the summer?
Answer:
30
Step-by-step explanation:
The answer is said in the question. It said that 30 students of them have a birthday in the summer so it's 30
A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row
ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
------
The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
The unit prices of 48-oz bottle and 32-oz bottle are $0.0183 and $0.01.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given, 48-oz bottle is $0.88 more than the 32-oz bottle.
That means,
0.88 > 32 x ( 0.01)
0.88 > 0.32
And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.
Unit price of 48-oz bottle,
= 0.88 / 48
= 0.0183
Unit price of the 48-oz bottle is $0.0183.
Therefore, $0.0183 and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.
To learn more about the division;
https://brainly.com/question/13263114
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use a point on the number line to represent a number ot whose absulute vaue is?
Answer:
A
Step-by-step explanation:
what is the simplest form of 32/40
Answer:
4/5
Step-by-step explanation:
Answer:
4/5 or as in decimals, 0.8
Step-by-step explanation:
32/8=4
40/8=5
100 POINTS Suppose ܶTU is on a coordinate plane located at T(-6,-2) and U(2,-6) Under a dilation of scale factor 1/4, TU becomes T'U' with coordinates T'(-3/2,-1/2) and U'(1/2,-3/2) Where is the center of the dilation located ?
A(0,0)
B(2,2)
C(4,0)
D(4,4)
c because the center of dilation is the multiplicatory value of the original point
The temperature of a substance was - 11°C at first. Its temperature increased and reached a temperature of 25°C in 30 minutes. Find the average temperature change of the substance in degrees Celsius per second.
Answer:
in 30 minutes it changed
36°C
as per that
for every one second
30minutes = 1800 seconds
so it is 36/1800
so answer Is 0.02
Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs
Answer:
30 eggs.
Step-by-step explanation:
Cracked eggs: 120 x 25/100
=> 120 x 1/4
=> 30 eggs.
Therefore, 30 eggs are cracked.
Hoped this helped.
Craig wants to create a right triangle with side lengths 4 centimeters, 6 centimeters, and 8 centimeters. Is this possible? Why or why not?
Answer:
It's not possible
Step-by-step explanation:
In right triangle hipotenuse must be the longest side so it'll be 8 and legs will be 4 and 6.
So
[tex]4 {}^{2} + 6 {}^{2} [/tex]
Doesn't equal to
[tex]8 {}^{2} [/tex]
16+36=52 not 64
What is one solution to the systems of linear equations?
Answer:
(4, 4)(4, -4)Step-by-step explanation:
The solution is the point of intersection of the two lines on the graph.
Graph 1.The lines intersect at (4, 4). The solution is (x, y) = (4, 4).
__
Graph 2.The lines intersect at (4, -4). The solution is (x, y) = (4, -4).