Answer:
[tex]y = -\frac{1}{5}x + 5[/tex]
Step-by-step explanation:
Given
[tex]5\ minutes = 4\ miles[/tex]
[tex]15\ minutes = 2\ miles[/tex]
Required
Determine the equation
y represents distance
x represents time
So, the given parameters can be modeled (x,y) as:
[tex](x_1,y_1) = (5,4)[/tex]
[tex](x_2,y_2) = (15,2)[/tex]
First, we need to determine the slope of the function.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 4}{15 - 5}[/tex]
[tex]m = \frac{-2}{10}[/tex]
[tex]m = -\frac{1}{5}[/tex]
The equation can be determined using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = -\frac{1}{5}[/tex]
[tex](x_1,y_1) = (5,4)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex]
becomes
[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]
Open bracket
[tex]y - 4 = -\frac{1}{5}x + 1[/tex]
Solve for y
[tex]y = -\frac{1}{5}x + 1 + 4[/tex]
[tex]y = -\frac{1}{5}x + 5[/tex]
The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 25m + 50, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?
Answer:
$450
Step-by-step explanation:
25*12=400
400+50=450
c(m)=450
7. Carlos is renovating a house and hires a plumber to install the piping for 4 points
the new bathroom. The plumber charges an initial fee plus an hourly rate
for the number of hours it will take to complete the installation. The
function y = 100 + 35x can be used to model the total cost of the job, in
dollars. What does the slope in the expression of this function represent? *
the initial fee for the installation, $35
the initial fee for the installation, $100
the cost per hour of installation work, $35
the number of hours to complete the installation, x
Answer:
the cost per hour of installation work, $35
Step-by-step explanation:
y = 35x + 100
the slope of a function is the coefficient of x, therefore, it is 35. $100 is the initial fee, since it ia the y intercept, and $35 is the cost per hour. y is the total amount, and x is the number of hours. Therefore, the only possible answer is the third choice,
how many solutions does an inconsistent system of equations have?
Answer:
An inconsistent system doesn't have a solution.
Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table below. Should Stefan
rent a phone accessory store? Explain.
Answer/Step-by-step explanation:
If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.
Total income estimated in a month:
Sales: $950 per week = 950*4weeks = $3,800 per month
Services: $2,875 per month
Total estimated income per month = $(3,800 + 2,875) = $6,675
Total expenses estimated in a month:
Rent: $4,500 per month
Travel: $7.5 per day = 7.5*7days = $52.5 per week.
Assuming there are 4 weeks in a month, expenses for travel in a month will be:
$52.5*4 = $210
Merchandise: $1,650 per month
Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360
Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.
Alejandro is saving money from work and his Mom will give him an extra 27 of whatever he saves. If Alejandro saves $50, how much will his mom give him?
In the garden, there were 15 red flowers, 5 blue flowers and 2 yellow flowers. What percent of the flowers were red?
Answer:
68.2
Hope this helps. :)
Answer:
I believe it would be 65?
Step-by-step explanation:
if if I divide 22 by 100 I will get 2.2.
And at 5 + 2 that means if you combine the blue flowers and yellow flowers you will get $7 in total.
And there's 15 red flowers 7 is kind 40 of 15 which is 100 because. 8+7=15 .
And for 15 to be completely split in half it would have to be 7.5.
But that's not how it works so if we put 8 & 7 into percents 8 would be 65 and 7 would be 35
the graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5 to create the graph of g(x). what is the function of g(x)?
a. g(x) = |x+5|
b. g(x) = |1/5 x|
c. g(x) = |5x|
d. g(x) = 5 |x|
Answer: I’m thinking the answer is B
Step-by-step explanation:
Transformations are used to move a function from one position to another. The function of g(x) is [tex]g(x) = |\frac x5|[/tex]
Given that:
[tex]f(x) = |x|[/tex]
The rule of a horizontal stretch by factor k is:
[tex](x,y) \to (\frac xk,y)[/tex]
This means that:
[tex]g(x) = f(\frac xk)[/tex]
In this case, [tex]k = 5[/tex]
So, we have:
[tex]g(x) = f(\frac x5)[/tex]
Calculate [tex]f(\frac x5)[/tex]
[tex]f(\frac x5) = |\frac x5|[/tex]
Hence, the function of g(x) is
[tex]g(x) = |\frac x5|[/tex]
Read more about function transformation at:
brainly.com/question/12865301
please help me. Calculus AB. WILL GIVE BRAINLIEST ANSWER
Answer:
E. -4
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent lineDerivative Notation
Step-by-step explanation:
Step 1: Define
Identify
Given a graph of g(x) and asked to find g'(0).
Step 2: Find
We approximate g'(0) by finding the tangent line at x = 0.
Identifying points (1, -4) and (-1, 4), we can find the tangent line:
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - -4}{-1 - 1}[/tex][Slope] Subtract: [tex]\displaystyle m = \frac{8}{-2}[/tex][Slope] Divide: [tex]\displaystyle m = -4[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56
Answer:
The answer is 139,440Step-by-step explanation:
5x498x56=139,440
Simplify (I don't know how to write the question itself)
Answer:
16/9
Step-by-step explanation:
Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.
1, 6, 6, 5, 2, 2, 0,5,6,7
What is the median of the data?
Answer:
5.5
Step-by-step explanation:
if you order the number from least to greatest like this 0,1,2,2,5,5,6,6,6,7 the median is the median number so here the median is 5.5 the reason it is 5.5 is bc the middle number is 5 and 6 and the middle number of that is 5.5
Barbara, Becky and Beth dressed up as princesses for
Halloween. One was Snow White. One was Sleeping
Beauty. One was Cinderella. Becky is not Sleeping
Beauty and she went trick-or-treating with Snow White.
Beth and Sleeping Beauty are sisters. Who is Snow
White?
Answer:
The answer is Beth.
Step-by-step explanation:
It states "Becky is not Sleeping Beauty and went trick-or-treating with Snow White" so we know that its not Becky. It also states "Beth and Sleeping Beauty are sisters" so we know that Beth is not Sleeping Beauty and we know that Becky is not Sleeping Beauty or Snow White. So it means that Barbara is Sleeping Beauty, Becky is Cinderella and Beth is Snow White.
PLEASE GIVE BRAINLIEST
What combination of transformations is shown below?
Answer:
I think its Translation then reflection
Step-by-step explanation:
write an equation that passes through (2,3) with a slope of 5
Answer:
7
Step-by-step explanation:
y=mx+c put the value of
x=2,y=3 and m=5 and solve this and you will get the answer of c=7
Can someone plz help me ASAP!!!???If u get it correct i will give brainliest.
Answer:
Slope = -2/5
y-intercept = 4
Step-by-step explanation:
Answer:
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b . Slope: 2/5 y-intercept: ( 0 , 4 )
what is 3(x+2)-5x simplified
Answer:
6-2x
Step-by-step explanation:
=3x+6-5x
=6-2x
Answer:
-2x + 6
Step-by-step explanation:
3(x+2)-5x =
3x + 6 - 5x =
-2x + 6
anyone able to help me
Answer:
2x-3=-x+3
Step-by-step explanation:
How many yards is 38.7 cm? Write your answer in scientific notation with 3 sig figs.
Answer:
=0.423 yards (3 sig figs.)
Step-by-step explanation:
38.7÷91.44
=0.4232283
=0.423 yards (3 sig figs.)
What is the equation of the line that as the same slope as the line 3x − 6y = −12 and the same y-intercept as the line −5x + 7y = −21?
Answer:
3x - 6y = -21
Step-by-step explanation:
The Y and X must stay the same for the same slope while the constant will change depending on the y-intercept.
Rewrite in simplest terms: -(3c - 8) - 3c
Answer:
3c -8 -3f = Kc-
Step-by-step explanation:
Answer:
did da work :)
Step-by-step explanation:
7. There are 40 boys in 7th grade. The number of girls in 7th grade is 30. Carly says
that means the ratio of the number of boys in 7th grade to the number of girls in 7th
grade is 4:7. Is Carly correct? Explain. If not, what is the correct answer?
HELP ASAPP THANKS
Answer:
I'm pretty sure Carly isn't correct.
Step-by-step explanation:
If I'm not mistaken, the ratio would be 4:3....
If I'm wrong, go ahead, sue me.
Alicia resolvió 45 problemas de un total de 70 problemas asignados. Qué fracción (en términos más simples) de los problemas que ha completado?
Answer:
no habla espanol
Step-by-step explanation:
Hailey is putting up a fence in the shape of an isosceles triangle in her backyard. The fence has side lengths as shown, where x represents the number of feet in each fence section. The perimeter of the fence can be covered using 8 total fence sections represented by the expression 8x. If fencing costs $6.50 a foot, what would be the total cost of the fence?
Answer: The total cost would be $780.00
The expression for the total cost of fencing is $52x , where x is a variable representing the number of feet in one section.
What is an expression in one variable?An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .
Given that number of feet in one fence section be x
No of feet in 8 such fence section = 8x
Given , Perimeter = 8 fence sections = 8x feet
Cost of fencing of one foot = $6.50
Cost of fencing 8x feet = 8x * 6.50
Therefore , the total cost of the fencing can be given by = 8x*6.50
= $ 52 x
Thus, the expression for the total cost of fencing is $52x
Also, Learn more about the expressions in one variable from the link below:
brainly.com/question/17272650
#SPJ2
2000: $2.50 2015: $2.00 what is the percent of change in cost.
Answer:
10%
Step-by-step explanation:
How many sevenths are there in two wholes?
Answer:
14
Step-by-step explanation:
7 times 2 = 14
Check all of the polynomial functions that have 2 as a root.
h(m) = 8 – m3
f(g) = g3 – 2g2 + g
f(a) = a3 – 4a2 + a + 6
f(x) = x3 – x2 – 4
Answer:
Explained below
Step-by-step explanation:
Polynomial Roots
If x=a is a root of f(x), then f(a)=0
We will test the following functions to check if a=2 is a root.
[tex]h(m)=8-m^3[/tex][tex]h(2)=8-2^3=8-8=0[/tex]
Thus m=2 is a root of h
[tex]f(g)=g^3-2g^2+g[/tex][tex]f(2)=2^3-2\cdot 2^2+2[/tex]
[tex]f(2)=8-2\cdot 4+2=8-8+2=2[/tex]
Thus g=2 is not a root of f
[tex]f(a) = a^3 - 4a^2 + a + 6[/tex][tex]f(2) = 2^3 - 4\cdot 2^2 + 2 + 6[/tex]
[tex]f(2) = 8-16+8=0[/tex]
Thus a=2 is a root of f
[tex]f(x) = x^3 - x^2 - 4[/tex][tex]f(2)=2^3 - 2^2 - 4[/tex]
[tex]f(2)=8 - 4 - 4=0[/tex]
Thus x=2 is a root of f
Answer:
answers are A, C, and D
Step-by-step explanation:
THIS IS CORRECT
Suppose MN= 14 cm and m
Answer:
what exactly is the question bro or babe
Answer:
?
Step-by-step explanation:
Esteban has a big jar f change in his room, he has 600 coins total, and 240 of them are pennies.
What percent of the coins are pennies?
Answer:
40%
Step-by-step explanation:
240/600 = 0.40 * 100% = 40%
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y - 2 = 1/8(x+8)
Step-by-step explanation:
The slope of lines that are perpendicular are each other's opposite reciprocal.
so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.
Point-slope form : y - y1 = m(x - x1)
(x1,y1) = (-8,2)
so, y - 2 = 1/8(x+8) is our final answer!
1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property of 6×78 4. what is the distributive property of 7×96