The flat cost of the plan = is $46 per month
Cost per gigabyte = $5 per gigabyte
Number of gigabytes = g
The maximum amount Mei Mei wants to spend on the bill = is $70 per month,
So, for each month,
$46 + $5(g) < $70
⇒ $5(g) < $70 - $46
⇒ $5(g) < $24
⇒ g < $24/$5
⇒ g < 4.8
The number of gigabytes to be used per month should be less than or equal to 4.8.
What is Inequality?Inequalities are algebraic expressions that show how one term is less than, less than or equal to, greater than, or greater than or equal to another rather than how both sides of an equation are equal to each other.The collection of all real numbers that satisfy the inequality is its solution. As a result, x can have any value that resolves the inequality.The values indicated by the symbols < (greater than) and > (less than) are not included in the answer.An inequality with terms of the type of ab, where a and b are real positive numbers or variable expressions, is referred to as a "power inequality." They frequently show up in exercises from mathematics Olympiads.To learn more about Inequality, refer to:
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Inequality: 5g+46<70
Answer: g<4.8
What’s r^2-15=t+19 as a sentence?
Answer:
solve the following system of equations by using gauss elimination method
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 2!!I NEED THIS BY **TODAY**
Answer:
(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)
Step-by-step explanation:
see picture
Write the function for the graph.
The correct option is option B that is the function f(x) = 3 (4)ˣ.
A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).
The first option is
f(x) = 3 (12)ˣ, after putting point (1, 12)
12 ≠ 3 (12), so it is not required function.
The second option is
f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)
3 = 3 and 12 = 12, so it is the required function.
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2. Niayla and Hamilton each have a job selling aardvark habitats. Hamilton gets paid a
flat fee of 350 dollars plus 50 dollars for each habitat he sells. Niayla gets paid a
flat fee of 500 dollars 40 dollars for each habitat she sells. How many habitats
must Niayla and Hamilton sell to make an equal amount of money.
Considering the equation of selling habitat between Niayla and Hamilton, the number of habitats that Niayla and Hamilton must sell to make an equal amount of money is 15
How to determine the number of habitats that Niayla and Hamilton must sell to make equal amountinformation gotten from the question include
Hamilton gets paid a flat fee of 350 dollars plus 50 dollars for each habitat he sells
Niayla gets paid a flat fee of 500 dollars 40 dollars for each habitat she sells
The equation as described is a linear function and is represented by the form. y = mx + c
where:
y = total amount made
x = number of habitat sold
m = cost per habitat
c =flat fee
some interpretation on the information from the question include
for Hamilton
y = 50x + 350
for Niayla
y' = 40x + 500
To make equal amounts y = y'
50x + 350 = 40x + 500
500 - 350 = 50x - 40x
150 = 10x
x = 150 / 10
x = 15
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16
4 points
(A.2A)
You are a part of a sports team that has at least 5 players but no more than 9 on a team. Your cleats for the team cost $15 each and can be represented by the function f(x) 15x where x
is the number of cleats. What is the range of this scenario?
RANGE:
The range of the function, f(x), that gives the total cost of the cleats of given that each cleat costs $15 and the number of cleats, x, is 5 ≤ x ≤ 9 is RANGE: [75, 135]
What is the range of a function?The range of a function is the set containing the output values that are obtainable with the function.
The given parameters are;
The number of players, n, in the sports team is; 5 ≤ n ≤ 9
The given cost of one cleat = $14
The function that represents the total cost of the cleats for the team is f(x) = 15•x
Given that each team member is given one cleat, we have;
Number of cleats is 5 ≤ x ≤ 9
The range of values for the total cost of the cleats is therefore;
15 × 5 ≤ f(x) ≤ 15 × 9
75 ≤ f(x) ≤ 135, which using interval notation gives;
RANGE: [75, 135]
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Which of the following values are solutions to the inequality -5 < 9- 6x?
None
II only.
I and II
O II and III
-6 II. 3
I. - 6
O I only
O III only
I and III
O I, II and III
III. - 1
The solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.
What is inequality?
In mathematics, the term 'inequality' is defined as a statement or equation with an ordered relationship like greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
-5 < 9- 6x
Adding 5 both the side we get,
5 - 5 < 9 - 6x + 5
⇒ 0 < 14 - 6x
⇒ 14 - 6x > 0
Dividing both the side by 6 we get,
⇒ 14 < 6x
⇒ x > 14/6 = 7/3
or, x ≤ 7/3
this is the required solution of the given inequality.
Thus, the solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.
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...........................................
Answer:
-5 2
Step-by-step explanation:
The coordinates of the endpoints of MN are M(4,14) and N(13,8). Point O is on MN and divides it such that MO:NO is 2:1. What are the coordinates of O? Write your answers as integers or decimals. (, ) Submit
The coordinates of Point O that is on MN and divides it such that MO:NO is 2:1 is; (10, 10)
What are the coordinates that divide the line segment?We are given a line segment as MN with its' endpoint coordinates as;
M(4,14) and N(13,8)
Now, point O divides MN such that MO:NO is 2:1.
Now, the formula for the coordinate of the point that divides a line segment in the ratio a:b is;
(x, y) = (ax₂ + bx₁)/(a + b), (ay₂ + by₁)/(a + b)
Since point O is the point that divides the line segment in the ratio 2:1, we have;
O(x, y) = (2*13 + 1*4)/(2 + 1), (2*8 + 1*14)/(2 + 1)
O(x, y) = (30/3), (30/3)
O(x, y) = (10, 10)
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If jummai is 12years old and Tunde is 8years old and they share 15bananas in the ratio of their ages how many will each have show calculation
Jummai and Tunde will each have 9 and 6 bananas respectively.
For the given ratio case we use the sharing ratio criterion to solve the problem.
Jummai is 12 years old.
Tunde is 8 years old.
Their ages are in ratio of;
A = 12 : 8
A = 3 : 2
The ratio's sum is 5.
15 bananas total are available for sharing.
Jummai will have [tex]x\\[/tex] bananas [tex]x[/tex] = (15 x 3/5) = 9
Tunde will have [tex]y[/tex] bananas [tex]y[/tex] = (15 x 2/5) = 6
Jummai and Tunde will each have 9 and 6 bananas with them.
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I have 35 apples and 30 oranges. What's the ratio of apples to oranges?
Let's begin by identifying key information given to us:
Numbers of apples = 35
Number of oranges = 30
Total number of fruits = 65
The ratio of apples to oranges is given by:
[tex]\begin{gathered} 35\colon30 \\ \text{Divide through both sides by the common factor ''5''. We have:} \\ \frac{35}{5}\colon\frac{30}{5}\Rightarrow7\colon6 \\ =7\colon6 \end{gathered}[/tex]standard to slope intercept form
Answer:
y=-5x+7
Step-by-step explanation:
15x+3y=21
(15x+3y)/3=21/3
5x+y=7
5x+y-5x=7-5x
y=-5x+7
yeah
i'm probably wrong but its my best
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]
____________________________________
The given equation is :
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 15x + 3y = 21[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 3y = 21 - 15x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{21}{3} - \frac{15}{3} x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]
That's the required equation in slope intercept form, with slope (m) = -5, and y - intercept = 7
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
identify the terms , constants , coefficients and variables in the equation 13x + 5y - 2 = 3
Answer: 13 and 5= coeeficients, x and y = variables, -2 and 3 =constants
Step-by-step explanation:
- Use the remainder thrm to determine if (x-2) is a
factor of f(x) = (3x4-3x³-9x² + 5x - 2) what is the remainder?
(x-2) is not a factor of f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex].
What is a remainder theorem?Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a) that isn't essentially an element of the polynomial, you will find a smaller polynomial along with a remainder.
The Remainder Theorem: If (x-a) is a factor of the f(x) then f(a) = 0
Here,
f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex]
substitute a = 2
[tex]f(2)=3(2^{4}) -3(2) ^{3}-9(2)^{2}+5(2)-2[/tex]
= 48-24-36+10-2
= 32-36
f(2) = -4
f(2) [tex]\neq 0[/tex]
Hence, (x-2) is not a factor of f([tex]x[/tex]) = [tex]3x^{4}-3x^{3}-9x^{2} +5x-2[/tex].
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two is subtracted from a number, and then the diffrence is divided by 3. the result is 30
Answer:
Two is subtracted by a number:
n - 2
And then the difference is divided by 3:
(n - 2) / 3
The result is 30:
(n - 2) / 3 = 30
(n - 2 ) / 3 = 30
(n - 2) = 30 • 3
n - 2 = 90
n = 90 + 2
n = 92
The number is 92
-3v + 5 (v - 2) = -6 solve for v and simplify your answer as much as possible
Answer: v = 2
Step-by-step explanation:
1. Distribute the 5 to the items within the parenthesis.
-3v + 5v - 10 = -6
2. Combine V terms and Isolate V from other terms.
2v = 4
3. Divide both sides by 2.
v = 2
What’s the answer plssss
Answer:
130 m
Step-by-step explanation:
See the attached, pleasantly presented, worksheet.
(2x+6)° (x+9)° find X
Answer:
sama sma tayi
Step-by-step explanation:
3×3()56(7)
2. Using the vertical angle image from problem 1, let 42 = 4x-4 and 24 = x+50. (SHOW YOUR WORK and be
sure to answer ALL 3 parts!)
a. What is the value of x?
b. What would be the measure of < 2?
Then find the measure of <3.
Using the vertical angle image we get the following answers:
a) x = 18, b) ∠2 = 68°, c) ∠3 = 112°Given the equations are:
42 = 4x-4 and 24 = x+50.
According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.
we know that,
∠2 = 4x-4 and ∠4 = x+50
a)To Find the value of x:
4x - 4 = x + 50
4x - x = 50 + 4
3x = 54
x = 54/3
x = 18
b) To Find the measure of ∠2:
∠2 = 4×18 - 4 = 72 - 4
= 68
c) Angles 2 and 3 are supplementary so their sum is 180°.
∠2 + ∠3 = 180
68 + ∠3 = 180
∠3 = 180 - 68
∠3 = 112°
Hence we get the required angles.
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Your question is incomplete. Please find the missing content here:
Using the vertical angle image from problem 1, let ∠2 = 4x-4 and ∠4 = x+50.
A. What is the value of x?
B. What is the measure of ∠2?
C. Find the measure of ∠3.
what is -10+3x>-16 inequality notation
The Inequality notation of the given equation 10+3x>-16 is x > -2
What is Inequality notation?
A mathematical statement known as an inequality expresses the relationship between two quantities while indicating that they are not completely equal. The four symbols used to represent inequality are. ≥, >,<, and ≤.
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare the two values in inequality. Less than (or less than and equal to), greater than (and greater than or equal to), and also not equal to signs are used in place of the equal sign.
Consider the above equation.
-10 +3x > -16
Add 10 on both sides.
= -10+3x+10> -16+10
= 3x> -6
Divide by 3 to equation into both sides.
= [tex]\frac{3x}{3} > \frac{-6}{3}[/tex]
= x > -2
Inequality notation is x > -2
Interval Notation: [−2,∞)
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Name a pair of vertical angles.
The pair of vertical angles are
∠1 and ∠3∠2 and ∠4There are four angles made by the intersection of two lines. Those are ∠1, ∠2, ∠3 and ∠4
Vertical angles are the each of opposite angles formed when two lines meet each other at a point. So whenever two lines intersect each other four angles are formed and each set of opposite angles are called vertical angles
Here, two lines intersect each other and ∠1, ∠2, ∠3 and ∠4 are formed.
∠1,∠3 and ∠2,∠4 are the opposite angles
So the vertical angles are ∠1,∠3 and ∠2,∠4
Hence, the pair of vertical angles are
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Which of the following expressions is equivalent to 2x + 3?
6(2)x
8(2)x
the quantity 2 to the power of x end quantity over 6
the quantity 2 to the power of x end quantity over 8
The expressions which is equivalent to 2x + 3 would be 4x + 6.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions. To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We need to find the expressions which is equivalent to 2x + 3
Thus, we will Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
Let the expression be multiplying by 2 then;
2(2x + 3)
4x + 6
Hence, we can say that the expressions which is equivalent to 2x + 3 would be 4x + 6.
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seven more than three times a number is 25 what is the number? please help asap thank u so much
Answer:
n = 10
Step-by-step explanation:
(10 * 3) + 7 = 37
Answer: 6
Step-by-step explanation:
With these type of problems, it is best to work backwards.
1. Because of the seven more, you subtract 7 from 25. This gives you 18.
2. Then it says three times, this means to divide by 3. 18/3 is 6
3. Your final answer is 6
Proving the answer is 6:
1. 3 [tex]*\\[/tex] 6 = 18
2. 18 + 7 = 25
convert 45grade into degree measure
Answer:
45g = 40.5°
45g = 40° 30′ 0″
HELP PLS IS DUE AT 10PM
Answer:
AS shown in the purse
Step-by-step explanation:
A. The school attendance happens in the sixth week
B. A(13) ≈ 42$
meaning : In the Thirdteenth week. The student attendance rate is 425
C. A(x)=400 =) x = 10
in the tenth week.The student attendance rate is 400
D.in the fourth week the least attendance nce.
E. It has 450 students
The number of attendance increased to 450.
And the area was flat
350 in standard form
Answer:
3.5 * 10^2
Step-by-step explanation:
So you start with 350.
What you do is take the decimal from the beginning of 350 and move it to the left.
350.0 -> 35.0-> 3.5
And you move the decimal until you get only one number in front of the decimal.
Then you take the number of times you moved the decimal and put it with ten so in this case it would be. 10^2.
Making the final answer: 3.5 * 10^2
A cube-shaped
sculpture has a volume of
64 cubic feet. What is the
length of each edge of the
cube?
The length of each edge is
feet.
Convince Me! How can
you find the cube root of
64?
Check the picture below.
I need help with this please thank you
∠UXS = 135° is the value on transversal line.
What is a transversal angle?
When a transversal splits two parallel lines, the two intersections create a number of angles. Transversal angles are what those are.A transversal is a line that crosses a network of lines, according to the definition. Transversals include, for instance, a line that crosses a set of two parallel lines.A transversal line is one that crosses two other lines at two different locations.Line l meets a and b in the picture below at two different locations, P and Q. Line l is the transversal line as an outcome.∠RXU = 45°
∠UXS = ?
As we know that a line make 180 degree angle on it.
So, ∠UXS + ∠RXU = 180°
∠UXS = 180° - ∠RXU
∠UXS = 180° - 45°
= 135°
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A = x + y - 7 solve for x
Solve please brainliest
just find it from the graph its not that hard
goodluck :)
what is the rate of. change for this ANd as a function
The rate of change of the function shown in the graph is $0.5 per minute.
What is rate of change?
The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time. When discussing momentum, the term "rate of change" is frequently used. It is typically defined as the ratio of a change in one variable to a matching change in another; visually, the rate of change is represented by the slope of a line. The Greek letter delta (Δ) is usually come in use to represent the ROC.
As shown in the graph,
The x-axis represents the minute and y-axis represents the cost.
and the cost is function of time.
For each 10 minute the cost increased $5
So, the cost is changing at a rate of $5 per 10 minute
$5 = 10 minutes
diving both side with 10
$0.5 = 1 minute
Therefore, the rate of change of the function shown in the graph is $0.5 per minute.
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