Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3
Step-by-step explanation:
f(g(x))
= f(4x)
= (4x) - 3. (A)
Step-by-step explanation:
option A is the correct answer according to my opinion .
plz mark my answer as brainlist if you find it useful.
Can anyone help complete this table?
The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.
Answer: 16%
Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.
can you help me with this
Answer:
85
Step-by-step explanation:
180-(67+28)
180-95
85
please mark brainliest
2.79 ? 2.790
Are they equal or which one is greater
Answer:
they are equal
Step-by-step explanation:
because you can add how many zeroes after 2.79 but it is going to still be equal.
Please help me someone
Answer:
A
Step-by-step explanation:
PV(1+i)^n
2000(1+.015)^x
2000(1.015)^x
A
A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic
Answer:
y= 28x+8
Step-by-step explanation:
If Ira runs at the same rate, how many laps can they run in 20 minutes?
Answer:
it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain
Step-by-step explanation:
ratio of laps to minutes: 9:12,
20/12 = 1.6666666666667 rounded to 1.7
9 x 1.7 = 15.3
sorry that i had to round and that it is a little off, hoped i helped you tho
3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.
Answer:
tis is not confirmed answer
Step-by-step explanation:
comiision: 112.5%
A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
may be the answer is :4g-2=8 ^-^
but donot depend in this answer it's not sure okay
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
Which whole numbers could be part of the solution set for the inequality below?
Prove your answers.
X + 2 > 8
Answer:
6
Step-by-step explanation:
8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest
1-Un balón de fútbol tiene un precio de $125 + IVA
1. ¿Cuánto es el IVA del balón?
A) 125 b) 200 c) 245
Answer:
b) 200
Step-by-step explanation:
The correct answer is b) 200
1) El IVA del balón es de $ 20.
2) El precio final del balón es $ 145.
1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.
El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.
El IVA del balón se determina mediante la siguiente operación aritmética:
[tex]\Delta C = 0.16\cdot (125)[/tex]
[tex]\Delta C = 20[/tex]
El IVA del balón es de $ 20.
2) El precio final del producto es la suma del precio de compra y el IVA, es decir:
[tex]C = 125 + 20[/tex]
[tex]C = 145[/tex]
El precio final del balón es $ 145.
Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444
Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:
Un balón de fútbol tiene un precio de $ 125 + IVA.
1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325
2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145
4[1 2 -1 5]
Someone help me with this bs
Answer:
-12
Step-by-step explanation:
12 - 15 = -3
4 ( -3 )
= -12
Answer: -12
Step-by-step explanation:
We have 4[12 -15]
Next, we have subtract in the parentheses since it's part of PEDMAS
12-15
After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.
12- 15= -3
And Lastly, we multiply.
4x -3= -12
Hope this helps!
I need help with this question I would be grateful really
Answer:
B
Step-by-step explanation:
B
the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer
Can you guys help me on the question 4?! :)
Answer:
Volcanic gray
Step-by-step explanation:
I think because Volcanic Gray and Gray Fox look pretty close to the same color. Sorry if it is wrong.
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
[tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]
Put r = 9
= [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]
= [tex]\frac{40}{2} -\frac{76}{4}[/tex]
= 20 - 19
=1
Step(ii):-
Given that
[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]
Put r = 9
= [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]
= 20 + 13(15)
= 215
Identify in the given expressions, terms which are not constants. Give their numerical coefficients.
(i) 5x – 3
(ii) 11 – 2y2
(iii) 2x – 1
Given:
The expression are
(i) [tex]5x-3[/tex]
(ii) [tex]11-2y^2[/tex]
(iii) [tex]2x-1[/tex]
To find:
The terms which are not constants and their numerical coefficients.
Solution:
Constants: The terms which are free from variables.
Numerical coefficient: Number multiplied with a variable.
(i) [tex]5x-3[/tex]
Constant = -3
Term which is not constant = 5x
Numerical coefficient = 5
(ii) [tex]11-2y^2[/tex]
Constant = 11
Term which is not constant = [tex]-2y^2[/tex]
Numerical coefficient = -2
(iii) [tex]2x-1[/tex]
Constant = -1
Term which is not constant = 2x
Numerical coefficient = 2
Therefore, the terms which are not constants are [tex]5x,-2y^2,2x[/tex] respectively and their numerical coefficients are 5, -2, 2 respectively.
In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)
Answer:
$1.4 B per year
Step-by-step explanation:
9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21
Answer:
8 1/2
2 19/36
1 9/10
23/42
why every comment but don't
Answer:
thanks
Step-by-step explanation:
Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5
Answer:
[tex]\frac{12}{4*5}[/tex]
Step-by-step explanation:
the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:
12 / (4 * 5) or [tex]\frac{12}{4*5}[/tex]
Please help me pleaseeeee
Answer:
Step-by-step explanation:
Answer:
tangent; inverse; 28.6
Step-by-step explanation:
You have given two legs;
You would use the inverse function, you are not given an angle;
g is about 28.61 degrees
Jordan took a math test. the number of questions he got COrrect to the number of questions he got INcorrect was 8:3. if he got 9 questions incorrect, how many did he get correct ?
(i would appreciate it if u answer with a step by step explanation since i have to show my work :)
Answer:
I'm not sure if this is correct
24
Step-by-step explanation:
8:3
?:9
9÷3=3
So then you would be able to times 8 by 3 also which gives you 24
It's just a guess, sorry if it doesn't help
Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).
Answer: (-5,1)
Step-by-step explanation: that should be right
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?
Answer:
[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]
Step-by-step explanation:
Topic A: Two books are ordered
Topic B: Four books are ordered
Let X= number of books arrived
The probability that a book actually arrives in time is 0.9
i.e., p=0.9
For Topic A:
[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]
For Topic B:
[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]
How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?
more than one
none
one
Answer:
More than one
Step-by-step explanation:
Trust me, I know.
Answer:
none
Step-by-step explanation:
i have proof i just took the test
Write the number that is five less than ten million.
Answer:
9,999,995
Step-by-step explanation:
the worst carrier of contamination of food service is
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
A tower that is 130 feet tall casts a shadow 160 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
30
Step-by-step explanation:
becuse if its the shadow you would have to subtract 130-160=30
