Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
Carly withdraws $18 from her bank account. Which number line represents this amount?
-20 -15 -10 -5 0 5 10 15 20,
10 15 20 -20 -15 -10 -5 0 5
10 15 20 -20 -15 -10 -5 0 5,
-20 -15 -10 -5 05 10 15 20.
HELP PLEASE
Write each number as a logarthm with base 3.
0
1
-2
4
Answer:
See belowStep-by-step explanation:
Let the number is x in each case.
Use the property below:
logₐc = b ⇒ aᵇ = c or vice versaWe have:
[tex]log_3x = 0 -->x = 3^0=1 -->log_31=0[/tex][tex]log_3x = 1 -->x = 3^1=3 -->log_33=1[/tex][tex]log_3x = -2 -->x = 3^{-2}=1/9 -->log_3(1/9)=-2[/tex][tex]log_3x = 4 -->x = 3^4=81 -->log_381=4[/tex]Answer:
[tex]\log_31=0[/tex]
[tex]\log_33=1[/tex]
[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]
[tex]\log_{3}81=4[/tex]
Step-by-step explanation:
[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]
Therefore:
[tex]\log_3x=0 \implies x=3^0=1[/tex]
[tex]\log_3x=1 \implies x=3^1=3[/tex]
[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]
[tex]\log_3x=4 \implies x=3^4=81[/tex]
Additionally, the logarithm of 1 with any base is always zero:
[tex]\log_a1=0[/tex]
The logarithm of the same number as the base is always 1:
[tex]\log_aa=1[/tex]
In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =
•
•
mZN =
(x + 3)°
Answer:
GivenTriangle ABC is right angled at A.
[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]
[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]
To find:
The degree measure of each angle in the triangle.
Solution:According to the given information,
[tex]m\angleA=90^\circm∠A=90[/tex]
[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]
[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]
Now,
[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]
(Angle sum property)
[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘
[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]
9x+126=1809x+126=180
9x=180-1269x=180−126
9x=549x=54
Divide both sides by 9.
[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]
x=6x=6
Now,
[tex]m\angle A=90^\circm∠A=90
∘[/tex]
[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]
∘
[tex]m\angle B=37^\circm∠B=37[/tex]
∘
[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]
∘
[tex]m\angle C=53^\circum \: ∠C=53[/tex]
Therefore,
The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.
Answer:
26°, 108°, 46°Step-by-step explanation:
Assumed the given is:
ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.We need to find the angle measures in degrees.
We know the sum of interior angles is 180:
x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23Find the angle measures:
m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46WHAT ARE CONGRUENCE LINES
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.
what is the answer to this
Answer:
x = 144
Step-by-step explanation:
x/2= 84-12 = 72
x = 72 x 2 = 144
pls mark as brainliest
f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.
f(x) - g(x)
2.5e - 0.04x - 1.2 + 0.2
0.16x + 5.59570457
Please help :(((((((((
Answer:
Yes it is a linear function
Step-by-step explanation:
The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE
Answer:
1.26
Step-by-step explanation:
R(L)=log((1.8 ×10)=log(18)=1.26
What is the answer for -6 + x/4 = -5?
Answer:
4
Step-by-step explanation:
-6 + x/4 = -5 --> add 6 to both sides
x/4 = 1 --> times 4 on each side
x = 4
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a black sock as a fraction in simplest form?
Answer:
3/13
Step-by-step explanation:
three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.
Use the graph below to find the x- and y - intercepts .
x-intercept : - 6; y - in ; intercept : 9
x-intercept: 1.5 ; y-intercept: 9
x-intercept : 9; y-intercept : - 6
x-intercept: -6; y-intercept: 3
234563456768521213457342/1234567213465768676543
pls answer quick!!! i'll give brainliest if right!
Answer:
Step-by-step explanation:
$0.11
per ounce
1.32/12=0.11!!
Answer: 1.21
Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so
0.11 x 11=1.21 ounces Good luck!
82 x3 +4 +8 +5 +3
I KNOW THE ANSWER JUST SOME POINTS FOR FREE
Answer:
266
Step-by-step explanation:
Answer:
it's 266! have a great day :)
What is the equation of the line shown in this graph
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1
10 pls pls pls help meeee!
Answer:
SAS
I THINK CORRECT ME IF IM WRONG
Someone plz help me :(
Answer:
c
Step-by-step explanation:
you want to take your total amount of points and divide it by the number of games
Which of the following represents a function?
Answer:
B) Graph of an Absolute Value Function
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.
The given table in Option A) is not a function because there are two corresponding y-values for x = 3.
Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.
Option D is also not a function because the input value of 3 has two output values: -5 and 0.
Option B represents a function because each input value has exactly one corresponding output value. A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point. This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.
Answer:
The graph
Step-by-step explanation:
I got it right on plato
Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?
Answer:
Chau drove 13.96 miles while he was using the truck
Step-by-step explanation:
Answer:
294 miles!!!!!!
Step-by-step explanation:
May I please receive help?
Answer:
m<1=47 and m<2=29
Step-by-step explanation:
Help stuck on question number 9
Answer:
y=4x-4
Step-by-step explanation:
You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.
The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.
Now use the point-slope formula to find your b value.
(y-y1)=m(x-x1)
m= 4
Plug in (3,8) for x and y, and solve.
(y-8)= 4(x-3)
y-8= 4x -12
y=4x-4
what is 8 divided by 9/10
7 divided by 5/8
8 divided by 1/2
9 divided by 2/3
8 divided by 5/8
8 divided by 1/4
1 divided by 5/10
8 divided by 1/3
Answer:
8 divided by 9/10
= 8.8888... = 8 8/9
7 divided by 5/8
= 11.2 = 11 1/5
8 divided by 1/2
= 16
9 divided by 2/3
= 13.5 = 13 1/2
8 divided by 5/8
= 12.8 = 12 4/5
8 divided by 1/4
= 32
1 divided by 5/10
= 2
8 divided by 1/3
= 24
Step-by-step explanation:
HELP ASAP PLEASE I BEG TOU
Answer:
(0,-2)
(2,-1)
(4,0)
Step-by-step explanation:
The points are the above ones.
x intercept: (4, 0)
y intercept: (0, -2)
SOMEONE HELP ITS DUE TONIGHT
Answer:
n=27 degrees
m=36 degrees
Step-by-step explanation:
So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.
so it is: 180-126/2 which gives you 27 degrees.
this means the n value is 27.
to find m, you have to take away 90 degrees and the n value from 180.
so it is: 180-90-27 which gives you 63 degrees.
now you must take the smaller angle from 63 degrees to find m.
so it is: 63-27 which gives you 36
therefore...
n=27 degrees
m=36 degrees
PLEASE HELP ME I NEED TO ANSWER THIS
Answer:
the correct answer is 37°
Step-by-step explanation:
just simple geometry haha
Answer:
37
Step-by-step explanation:
( x + 71 ) and 108 are vertically opposite angles.
Vertically opposite angles are equal.
x + 71 = 108
x = 108 - 71
x = 37
what is 2x(7+66) i need help
7+66 is 73,so that means 73 x 2
73 x 2 is 146.
So it is 146
Hope you have a great day.
Good luck
Answer:
146x
Step-by-step explanation:
hope it helps
mark me brainliest
i work on this on last friday
explain how you got the answer because I somehow got x > -5 as my answer, please and thanks.
Answer: x>-5
Step-by-step explanation:
-5(x+7)<-10
Distribute the -5.
-5x-35<-10
Add 35 to both sides.
-5x<25
Divide both sides by -5.
x>-5
Answer:
x > - 5
Step-by-step explanation:
-5(x+7)< -10
-5x - 35 < - 10
- 5x < - 10 + 35
x > 25/-5
7 times a number plus 3 is 38. find the number
Answer:
5
Step-by-step explanation:
7 x 5 = 35
35 + 3 = 38
Find the distance between P(2, 5 ) and Q( 7 , 3)
Answer:
PQ = √(7-2)²+(3-5)²
= √ 5²+(-2)²
= √ 25+4
=√29 units
Hope it helps !
Don't forget to mark me as brainliests.
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.