Explanation:
The rule is that if log(A) = log(B), then A = B
Using this idea, we can then say,
log(t - 3) = log(17 - 4t)
t - 3 = 17 - 4t
t+4t = 17+3
5t = 20
t = 20/5
t = 4
The solution to the logarithmic equation is t = 5
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
log ( t - 3 ) = log (17 - 3t ) be equation (1)
On simplifying , we get
The bases of the logarithm are equal
So , the values are equal and therefore
t - 3 = 17 - 3t
Adding 3t on both sides , we get
4t - 3 = 17
Adding 3 on both sides , we get
4t = 20
Divide by 4 on both sides , we get
t = 20 / 4
t = 5
Therefore , the value of t is 5
Hence , the logarithmic equation is solved
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Find the equation in standard form of the line passing through the points (6, 3) and (1,5)
Answer:
2x+5y=27
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(1-6)
m=2/-5
m=-2/5
y-y1=m(x-x1)
y-3=-2/5(x-6)
y-3=-2/5x+12/5
y=-2/5x+12/5+3
y=-2/5x+12/5+15/5
y=-2/5x+27/5
y-(-2/5x)=27/5
y+2/5x=27/5
5(y+2/5x)=5(27/5)
5y+2x=27
2x+5y=27
plssssssssssssssssssssss help me i will mark you the brainlyest Graph.
y= –34x–1
Answer:
the x-axis is 0,1
the y -axis is -1, - 35
sorry if im rong
Step-by-step explanation:
Answer:
look at explanation
Step-by-step explanation:
the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).
mark -1 on your graph, which should be one slot to the left of zero.
the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.
your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.
how long did it take for Car A to travel 10 meters
Answer:
isnt it 5 seconds?
its quite blurry but i think its 5
It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.
I am confused in these problems ?
8. 9.
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
Expand & simplify
(x +3) (x-3)
Answer:
x^2 - 9
Step-by-step explanation:
Multiply parenthesis
x × x = x^2
x × -3 = -3x
3 × x = 3x
3 × -3 = -9
x^2 - 3x + 3x - 9
= x2 - 9
[tex]5/4+3/4+1/4=[/tex]
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save
Answer:
50%
Step-by-step explanation:
Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.
This is the question but thank you
Answer:
8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
Pls help I’ll brainlest ASAP
Please help me!!! I will try to give brainliest
Answer:
Slope-intercept form: y = -3x/5 - 3
Point slope form: y = -3/5 (x + 5)
Standard form: 5y + 3x = -15
Step-by-step explanation:
Using points (-5, 0) and (0, -3)
Gradient of the line = (-3-0)/(0+5)
= -3/5
Slope intercept form; y = mx + c
when x= 0 , y = -3
therefore intercept on y axis = - 3
y= -3x/5 - 3
Point slope form: y - y1 = m (x - x1)
y - 0 = -3/5 (x + 5)
y= -3/5 (x+5)
Standard form: ax + by = c
y= -3/5 (x + 5)
5y = -3(x + 5)
5y= -3x - 15
5y + 3x = -15
c. What is located at the reflection of (3,1) across
the y-axis? What are the coordinates of this
location?
Check the picture below.
Help someone I don’t know the answer and I need help!
Answer: I believe the answer is (A) (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.
What is the answer for 6 7/16 - 4 1/2?
Answer:
1.9375
Step-by-step explanation:
used a clacalator
Answer:
31/16 or 1.9375 or 1 and 15/16
Step-by-step explanation:
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4
Answer:
[tex]x^3-2x^2-8x[/tex]
Step-by-step explanation:
[tex]x(x+2)(x-4)[/tex]
[tex]x(x^2-2x-8)[/tex]
[tex]x^3-2x^2-8x[/tex]
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
First one to put an answer gets Brainliest
What is 6-9461946105$)/&!5803&573!2.72!/‘u get Rory • 3
Answer:
I got its 69 or 六十九
Step-by-step explanation:
Choose the true statement about virtue-based ethics.
i. According to the principles of virtue-based ethics, character is more important than actions.
ii. According to the principles of virtue-based ethics, right and wrong are assessed using culture as a guide.
iii. According to the principles of virtue-based ethics, the consequences of actions are very important.
iv. According to the principles of virtue-based ethics, rules are used to evaluate actions.
Virtue based ethics holds that character is more important than actions.
Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.
Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."
Learn more about ethics: https://brainly.com/question/25784680
ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
The equation of the blue line is y=-x+ 5. Manipulate the orange line by setting the sliders so its slope, m, is -1 and its y-intercept, b, is 5. Which statement describes the system after the changes? O The lines intersect at the same point as before the changes. O The lines intersect at a different point than before the changes. O The lines do not intersect. 0 The lines overlap.
Answer:
D
Step-by-step explanation:
I need help with this math problem
Step-by-step explanation:
that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?
it is zero, if just one of the 3 factors is 0.
and that would happen for
x = 0
x = -6
x = 1
so, A, D and E are correct.
A sandwich costs $4.25 and a fruit drink costs $1.85. How much change will you get from a $10 bill?
Follow: Maddie Edits
Answer:
3.90
Step-by-step explanation:
4.25
+1.85=6.10
10-6.10=3.9
======================================================
Work Shown:
4.25+1.85 = 6.10
It costs $6.10 to get the sandwich and drink.
If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.
One way to represent $3.90 is to have:
3 dollar bills = 3 dollars3 quarters = 3*25 = 75 cents1 dime = 10 cents1 nickel = 5 centsThe coins add up in value to 75+10+5 = 90 cents.
Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.
2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
[tex]\large\underline{\sf{Solution-}}[/tex]
Given inequation:
[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]
[tex]\sf\longmapsto 8x-2<12x+4[/tex]
[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]
[tex]\sf\longmapsto 8x-6<12x[/tex]
[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]
[tex]\sf\longmapsto -6<4x[/tex]
[tex]\sf\longmapsto 4x>-6[/tex]
[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]
[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]
Therefore:
[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]
26.
ndicate which student has the higher z score.
Art Major
I-46 T-50.5 :- 5.2
Theater Major X - 70 T-75.1 :-7.3
Answer:
boom bam ba boom bam ba
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
A provisional license holder under 18 may not drive without special permission _____________________ .
A between 8:00 a.m. and 9:00 pm
B between 12:00 am and 5:00 am
C between 5:01 am and 11:59 pm
D between 6:00 a.m. and 6:00 pm
Answer:
C
Step-by-step explanation:
A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.
Someone Help?
Find the problem:
22 + 53x + x = -20 + 60x
22+ 54x = -20 + 60x
22= -20+ 6x
2= 6x
x = 1/3
Fix the problem (Rewrite and solve):
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.
Answer:
Step-by-step explanation:
Your equation makes no sense.
I will ASSUME you mean
y = -x² - 2x + 3
which can be factored
y = (x + 3)(-x + 1)
x intercepts occur when y = 0
0 = (x + 3)(-x + 1)
which means either
x + 3 = 0
x = -3
or
-x + 1 = 0
x = 1
x intercepts are (-3, 0) and (1, 0)
The vertex will occur halfway between these point
x = (-3 + 1) / 2 = -1
so vertex = y = -(-1)² - 2(-1) + 3 = 4
(-1, 4)
Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4
Answer:
im pretty sure it's A thx
Which equation could possibly represent the graphed function?
OA. f(x) = (x-4)(x + 2)(x + 4)
OB. f(x) = (x-4)^2(x - 2)
OC. f(x) = (x+4)^2(x+2)
OC. f(x) = (x-4)(x-2)(x+4)
Answer:
A
Step-by-step explanation:
You're looking for x-intercepts
From the graph you know that the x-intercepts are as follows:
x = -4, x = -2, x = 4
And this is when y or f(x) = 0
so you can rewrite each x-intercept as an equation
0 = x + 4
0 = x + 2
0 = x - 4
Now you know each of the terms
f(x) = (x-4)(x+2)(x+4)
Answer:
A choice.
Step-by-step explanation:
If you notice, you see the graph having x-intercepts which are x = 4, -2 and -4.
Because the graph passes through x = 4, -2 and -4, we have to find the function that satisfy x-values when f(x) = 0.
Finding x-intercepts, let f(x) = 0.
A choice
f(x) = (x-4)(x+2)(x+4)
Let f(x) = 0 to find x-intercepts.
0 = (x-4)(x+2)(x+4)
Then solve the equation like linear.
Hence, x = 4,-2,-4
Since the x-intercepts are (4,0),(-4,0) and (-2,0), it satisfies the graph and therefore A is correct.