Answer: 2c + 6x - 28
Step-by-step explanation:
6x -18 + 2c - 10
add like terms
2c + 6x - 28
The telephone company offers two billing plans for local calls. Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.03 per call.
Answer:
The indifference point is 500 calls.
Step-by-step explanation:
Giving the following information:
Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.03 per call.
I assume we have to determine the indifference point between the two plans.
First, we need to structure the cost formulas:
Plan 1= 32
Plan 2= 17 + 0.03*x
x= call
Now, we need to equal both formulas:
32 = 17 + 0.03x
15= 0.03x
500= x
The indifference point is 500 calls.
Plan 1= $32
Plan 2= 17 + 0.03*500= $32
Answer:
Step-by-step explanation:
Use the graph shown to answer the question. What is the solution set for the inequality if log2(2x – 1) > 2?
Answer: B
(2.5, ∞)
Step-by-step explanation:
The solution set of the given logarithm inequality will be (2.5,∞).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm function,
log₂(2x - 1) > 2
By log property
2x - 1 > 2 x 2
2x > 4 + 1
x > 5/2
x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).
Hence "The solution set of the given logarithm inequality will be (2.5,∞)".
For more about logarithms
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What is the value of m in the figure? In this diagram ABD~BCD
Answer:
D. √136Step-by-step explanation:
see attached sketch
Answer:
sqrt 136
Step-by-step explanation:
just took the a pe x
Dos veces la edad de Mary más 7 es igual a 33. ¿Cuál es la
edad de Mary?
Answer:
La edad de Mary es:
13 años
Step-by-step explanation:
Planteamiento:
2m + 7 = 33
m = edad de Mary
Desarrollo:
2m = 33 - 7
2m = 26
m = 26/2
m = 13
Comprobación:
2*13 + 7 = 33
26 + 7 = 33
Which of the following numbers is irrational?
72
국
4
3
3, 5, VA
O?
0 3
O A
Simplify each expression.
20-2.32
0 18
O 11
O 60
O 2.
Answer:
the answer for this question is 18
If it is 375 miles form Los Angeles To San Francisco and on a map the scale is 2cm=10miles how far apart are they on the map
dees nute lil d man you knoe bro sup
How do you determine a closer approximation for the square root of 12
Answer:
look at it
Step-by-step explanation:
Solve for x : x/8 = 8
Quickly !
The answer is [tex]x=64[/tex]
The first and last step is to multiply both sides by 8
[tex](\frac{x}{8} )(8)=8*8[/tex]
Multiplying [tex]\frac{x}{8}[/tex] by [tex]8[/tex] makes x by itself and 8*8 is 64
[tex]x=64[/tex]
For the pair of functions, find (f • g)(x) and (gof)(x).
f(x) = -2x2 g(x) = x + 4
A. (g)(x) = -283 - 8x?: (gof)(x) = -2x3 - 8x2
B. (f 9)(x) = -2x2 – 16x - 32; (gof)(x) = -2x2 + 4
C. (og)(x) = -2x2 + 4; (g - f)(x) = -2x2 – 16x - 32
D. (fog)(x) = -2x2 – 32; (g - )(x) = -2x2 + 4
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
a. Write a formula for the perimeter of the indoor track
P=
b. Solve the formula for x.
x=
c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
Pls help I am so confused
James works at a department store and receive a 25% discount on his purchase he purchases some new clothes at the store and his total before the discount is $145.20 what is James total after the discount
Answer:
$108.90
Step-by-step explanation:
James pays 75% of the amount, so he pays ...
0.75 × $145.20 = $108.90
James' total after the discount is $108.90.
what is the slope of 3y = 9 – 4x
Answer:
The slope is -4/3
I hope this helps :)
87 times 422 divided by 4
Answer:
9178.5
Step-by-step explanation:
Follow PemDas
From Left to Right, you multiply 87 x 422, which is 36,714
Then, thake that number and divide it by 4, giving you 9,178.5
Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
let's x represent a number
8-x = 4
Answer:
8-x = 4
Step-by-step explanation:
took the test and got it correct
The temperature was -6°F. It rose so that the temperature was 0°F. What integer represents the change in temperature?
Answer:
f + 6
Step-by-step explanation:
Using one or more of your senses to gather information is called O Inferrence O Prediction O Observation O Hypothesis
What is the value of Negative 9 r minus 7 when r = 2?
Answer:
-25
Step-by-step explanation:
-9r - 7
-9(2) - 7
-18 - 7
-25
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Answer:
The distance between both points is 4√2 units
Step-by-step explanation:
Here in this question, we want to calculate the distance between two given points.
These points are (8,-3) and (4,-7)
Mathematically, the distance between two points can be given as;
D = √(x2-x1)^2 + (y2-y1)^2
where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3
Substituting these values;
D = √(8 -4)^2 + (-3-(-7)^2
D = √(4)^2 + (4)^2
D = √(16+16)
D = √(32)
D = 4√2 units
Answer:
32 Number C
Step-by-step explanation:
What is the graph of g?
Answer:
function gis defined as g (6) = - f (-4) graph
a −3=( a 1 ) 5 what is the value of a?
Answer:
A=[tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
a−3=a1(5)
Step 1: Simplify both sides of the equation.
a−3=a1(5)
a+−3=5a
a−3=5a
Step 2: Subtract 5a from both sides.
a−3−5a=5a−5a
−4a−3=0
Step 3: Add 3 to both sides.
−4a−3+3=0+3
−4a=3
Step 4: Divide both sides by -4.
-4a/-4 = 3/-4
Your final answer is a=-3/4Find the x-intercept and y-intercept of the liné.
- 6x + 5y = 21
Answer:
x=-3.5 or -7/2 (same thing)
y=21/5
Step-by-step explanation:
x intercept is when y=0
y intercept is when x=0
so
x intercept is
-6x=21
x=21/-6
x=-3.5
y intercept is
5y=21
y=21/5
(-1,2), (-1,-5) can you solve this for me
Answer:
Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.
Function g is a transformation of the parent quadratic function f. Which statements are true about this function?
g(x) = -(x - 4)2 + 6
Select all the correct answers.
Function g reflected function facross the x-axis.
Function g translated the vertex from (0,0) to (-4,6).
For function g, as x approaches negative infinity, 8(x) approaches negative infinity.
Function g is always decreasing,
Function g is always negative.
Function g is symmetrical about the point (4,6).
Answer: Function g reflected function f across the x-axis.
For function g, as x approaches negative infinity, g(x) approaches negative infinity.
Function f is symmetrical about the point (4,6).
The correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.
Here given that the function g(x)= -(x-4)²+6
vertex of the graph of the function g is
dg/dx=0
⇒2(x-4)=0
⇒x-4=0
⇒x=4
putting x=4 in g(x) , g(4)= -(0-0)²+6=6
Hence the vertex of the graph of g is (4,6).
The parent function is f(x)= x²
here the vertex of the function is (0,0).
Option A: This option is true as the graph of function g is the inverse image of f. So, Function g is reflected of function f across the x-axis.
Option B: This option is incorrect. as the vertex of the function f is transformed to (4,6) which is the vertex of g(x).
Option C: This option is true because
[tex]\lim_{x \to- \infty} g(x)[/tex]
= [tex]\lim_{x \to- \infty} -(x-4)^2+6\\[/tex]
= -(∞-4)²+6
=-∞²+6
=-∞
Hence as x approaches to the -∞, g approaches to the -∞
Option D. This option is incorrect because
if the function is always decreasing its derivative is negative for all x∈R
dg/dx<0
⇒2(x-4)<0
⇒x-4<0
⇒x<4
so the function is decreasing for x<4 not for all x.
Option E: This option is incorrect. because g is not always rather it is positive for 4-√6 < x < 4+√6
g(x)>0
⇒-(x-4)²+6 >0
⇒-(x-4)²>-6
⇒(x-4)²<6
⇒|x-4|<√6
⇒4-√6<x<4+√6
so, g(x) is positive for 4-√6 < x < 4+√6
Option E:
This option is incorrect as g(x) is symmetrical about line x=4.
Therefore the correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.
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Write the algebraic expression:
Two times a number plus two
Find the measure of
Round 496.739386253 to the nearest whole number.
Answer:
467
Step-by-step explanation:
7 is greater than 5 so the six is rounded to a 7
Hope this helped please mark me brainiest
Answer:
497
Step-by-step explanation:
If x ≥ 5, we round up.
If x < 5, we round down.
Since 7 ≥ 5, we round 496.739386253 to 497.
help‼️✌⛓✌
also please try to answer as soon as possible
Answer:
do this then this then that and your done :D
Step-by-step explanation:
hope this helps :))
During the winter, the amount of water that flows down a river remains at a low constant. In the spring, when the snow melts, the amount of water increases drastically, until it decreases to a steady rate in the summer. The flow then slowly decreases through the fall into the winter. Consider the graphs shown. Which graph best represents the given situation?
Answer:
Its Graph B
Step-by-step explanation:
I got the quiz correct