a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
Linear functions are expressions of the following form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - y-Intercept.Two lines are parallel if and only if they have the same slope but distinct intercepts. and two lines intercept each other when they have distinct slopes. Now we proceed to present the solution for each point:
a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/14165558
The table shows the width and length of different pictures that Katie has enlarged for the school yearbook:
Based on the table, what is the length of a picture that has a width of 20 inches?
The table would show:
Width 5 10 15
Length 6 12 18
24 inches
35 inches
38 inches
40 inches
Answer:
24 inches
Step-by-step explanation:
Pattern for the length is time 6.
Do 6 x 4, which will equals 24
Our Answer is- 24 inches.
Another way:
6 - 10 = +6
12 - 18 = +6
18 -24 = +6
Therefore- 18 - 24 = +6
24 Inches
find the even numbers between X > 50
Answer:
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50
Step-by-step explanation:
What are the partial products of 8.6 x 9.2
Answer:
79.12
Step-by-step explanation:
1st number has 1 decimal places.
2nd number has 1 decimal places.
So 2 decimal places will apper in the final answer.
× 80 6 sum
90 7200 540 7740
2 160 12 172
sum 7360 552 7912
Remember the decimal places!
Final answer: 79.12
14 divided by 46.2 please help me
A map has a scale of 1:5000 cm, On the map a rectangle plot of land measures 30.5 cm and 23.5 cm.
what is the actual perimeter of the plot of land in meters?
please explain and answer the question correctly ☺ thank you.
Answer:
5,400 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(l+w)
2(30.5+23.5) = 54
54 · 5,000 = 540,000 cm
540,000 cm = 5,400 m
I hope this helps!
what fraction is shown on the number line
2/12
10/12
12/2
2/2
As there are 12 divisions denominator will be 12 only.
While the dot is in second line so numerator is 2.
So, answer is [tex]⇒ \frac{2}{12} \\ [/tex]
i needdd help please
Answer:
3
Step-by-step explanation:
The area of a rectangle is 54 square feet. Find the length and width if the length is
three feet less than twice the width
Answer:
Width = 6 ft
Length = 9 ft
Step-by-step explanation:
Width =w
Length = 2w - 3
Area = 54 sq. ft
length *width = 54
(2w -3) *w = 54
2w² - 3w = 54
2w² - 3w - 54= 0
P = -108
Sum = -3
Factors = -12,9 {-12 + 9 = -3 & (-12)*9 = -108}
2w² - 12w + 9w -54 = 0
2w(w - 6) + 9(w- 6)=0
(w-6)(2w + 9) = 0
Ignore (2w + 9) as measure wont be negative
w -6 = 0
w = 6 ft
length = 2*6 - 3 = 12-3 = 9 ft
F is a function that relates the price of a product to the revenue it will generate. If a price of $5 corresponds to $8,000 in revenue, which of the following correctly shows this relation using function notation?
The function that correctly shows this relation using function notation is f(5) = 8000
Functions are expressions separated by an equal sign. They have both dependent and independent variables.
From the given question, we have that F is a function that relates the price of a product to the revenue. From the statement;
Price is the dependent variable and product of revenue is the independent variable;
Let x be the product of revenue
f(x) be the price
If a price of $5 corresponds to $8,000 in revenue, this can be expressed as:
f(x) = 8000
since x = 5, then f(5) = 8000
Hence the function that correctly shows this relation using function notation is f(5) = 8000
Learn more here: https://brainly.com/question/21919554
It’s for pre college
Answer:
the slope is -5/3
Step-by-step explanation:
Find slope of the line using the formula: slope= difference between vertical changes / difference between horizontal changes= (-9-1) / 2-(-4) = -10/6=-5/3
Answer:
19) slope = undefined
20) slope = [tex]\mathsf{-\frac{5}{3} }[/tex]
Step-by-step explanation:
19) Graph of a vertical lineGiven the graph of a vertical line, with coordinates of (-2, 3) and (-2, -3):
Since the formula for solving the slope of a line is given by:
[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
This implies that a vertical line has no horizontal change. Therefore, the value of the denominator in the given formula will be: x₂ - x₁ = 0. This division by zero is an undefined operation, hence the slope of a vertical line is undefined.
20) Find the slope of a line through the given pair of points.
Given the coordinates, (2, -9) and (-4, 1), substitute these values into the following slope formula:
[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (2, -9)
(x₂, y₂) = (-4, 1)
Substitute these values into the given formula:
[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\mathsf{m = \frac {1\: -\: (-9)}{-4\: -\:2}\:=\:\frac {1\: +\:9}{-6}\:=\:\frac{10}{-6}\:=\:-\frac{5}{3}}[/tex]
Therefore, the slope of the line is, [tex]\mathsf{m\:=\:-\frac{5}{3} }[/tex].
Five people bought raffle tickets,
They bought 8 tickets each. How
many raffle tickets did they buy in all?
Answer:
[tex]\pink{\rule{1pt}{900000pt}}[/tex]
Answer:
40 tickets because, you multiply 8 and 5 so you get 40.
Step-by-step explanation:
Pleaseee help I beg youu I will mark branliest
Answer:
5,1.4
Step-by-step explanation:
you find the matching value of x and y and divide them
Find the slope:
Find the slope:
Hello, there.
To find the slope of a line, first you need to make sure which points this line passes through:
The slope [tex]m[/tex] of a line, passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].
As we can see in the graph, this lines passes through the points [tex](0,~1)[/tex] and [tex](1,~3)[/tex], such that we can substitute these values on the formula to find its slope:
[tex]m=\dfrac{3-1}{1-0}[/tex]
Subtract the values in both numerator and denominator
[tex]m=\dfrac{2}{1}=2~~\checkmark[/tex]
This is the slope of this line.
Answer:
m=2
Step-by-step explanation:
use
[tex]y^2/x^2 - y^1/x^1[/tex]
Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
{(1,0), (2, 0), (3, 3), (3, 4)}
2,0)3
{(-1,0), (1, 0), (3, 0), (3, 4)}
Please help asap
Mr. Smith asked his students whether they prefer to go to the museum or the zoo for a field trip. He found that 35% of the students prefer to go to aa museum, 45% prefer to go to the zoo, and the rest have no preference. What is the Ratio of students who have no preference to the students who prefer to go to the museum?
Answer: The answer is C 4:7
Step-by-step explanation:
Hopes this helps
Jane invests $5,757 in an account that earns an annual interest rate of 2%. What will be the balance of the account in 16 years if the interest is compounded continuously?
Answer:
C
Hope it helps you, tell me if im wrong pls, be safe :D
The balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
It is given that, Jane invests $5,757 in an account that earns an annual interest rate of 2%.
We must first divide "2%" by the principal ($5,757) to get a decimal, which we must then multiply by. So:
5,757 × 0.02 = 115.14
Then we multiply the product of P×R by the time, 16 years. So:
115.14 × 16 = 1,842.24
We now add the principle to our finished product. So:
5,757.00 + 1,842.24 = $7,599.24
Thus, the balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.
Learn more about compound interest here:
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#SPJ2
Evaluate f(-3), f(7), f(0), and f(z).
f(x) = –2x + 3
Logan takes 8.95 minutes to run 1 mile.
How long will it take him to run 4.85 miles?
Enter your answer as a decimal in the box.
Answer:
It will take him 39.0425 ≈ 39 minutes to run 4.85 miles.
Step-by-step explanation:
All we have to do is multiply 8.05 by 4.85. So:
8.05 × 4.85 = 39.0425
Answer:
43.40minutes
Step-by-step explanation:
8.95*4.85=43.4075
if this is correct can i get brainliest
HELPPP LAST ATTEMPT!!
Answer:
alright so the answer you are gonna put is 1,9
Describe the relationship between and using geometric terms.
Answer:
Geometric Relationships. Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements.
The length of one base of a trapezoid is 7mm less than twice the length of the other base. The height of the trapezoid is 12mm. The area of the trapezoid is 48 square mm. Find the length in millimeters of the longer base. (Please show step by step)
Answer:
The length of the longer base is 5mm.
Step-by-step explanation:
The area of a trapezoid:
[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]
With the given information, we can write some equations to represent the problem:
[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)[/tex]
There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:
[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\\\\48=\frac{1}{2}(12)((2b_2-7)+b_2)\\48=(6)(3b_2-7)\\48=18b_2-42\\18b_2=90\\b_2=5[/tex]
Now, plug that back into the first equation to solve for the other variable:
[tex]b_2=5\\b_1=2b_2-7\\\\b_1=2(5)-7\\b_1=10-7\\b_1=3[/tex]
Now we have the measures of both of the bases.
the longer base = 5mmthe shorter base = 3mmTo check that, calculate the area using these bases:
[tex]A=\frac{1}{2}(12)(3+5)\\A=6(8)\\A=48[/tex]
It works fine.
3. Write the ratio of cats to dogs as a fraction in simplest form: then explain its meaning.
Answer:
4:3
Step-by-step explanation: Im not sure how to explain but i know thats the answer:)
Which is equivalent to
x?
X
- 10
1 1
X+-X
8 8
o
100
X +
8
100
o
1
88
100
100
1
1
2x + x
Step-by-step explanation:
[tex] = \frac{1}{4} x[/tex]
[tex] = \frac{1 \times 2}{4 \times 2}x [/tex]
[tex] = \frac{2}{8} x[/tex]
[tex] = \frac{1 + 1}{8} x[/tex]
[tex] = \frac{1}{8} x + \frac{1}{8} x[/tex]
[tex] \: [/tex]
Option → A
Answer:
1/8x + 1/8x
Step-by-step explanation:
First Option
Simplify 6a - 3a + 4a
Answer:
7a
Step-by-step explanation:
I had this problem before and I solved it to get 7a
Answer:
7a
Step-by-step explanation:
Because we have like terms here we are able to solve the equation as written [tex]6a-3a=3a[/tex] and the [tex]3a+4a=7a[/tex]
7. the perimeter of a triangle is 80cm. write and simplify an equation to solve for x.
Answer:
X = 18
Step-by-step explanation:
(x+3)+(x+3)+(3x-16) = 80
5x-10 = 80
5x = 80+10
5x = 90
x = 90/5
x = 18
hope that helped!
Please help me please help help me help please
Answer:
An equation of a line is written in the form y=mx+b. ”m” is the slope and ”b” is the y-intercept. So, substituting the values, the equation is y=-4x+1.
:)
How much will you have in the bank if you invested $500 for four years at 3% interest,
compounded annually?
Answer:
You will have $560 in the bank after 4 years.
Step-by-step explanation:
So we have the principal, rate and the time, we need to find the interest.
All we have to do is multiply the principal by the rate, and then the product of P×R by the time.
But first, we need to convert the rate into a decimal, so:
500 × 0.03 = 15
15 × 4 = 60
What’s the slope of the black line
Answer:
Slope= - 1/2
Step-by-step explanation:
The masses
m
i
are located at the points
P
i
. Find the center of mass of the system.
m
1
=
1
,
m
2
=
2
,
m
3
=
3
.
P
1
=
(
7
,
8
)
,
P
2
=
(
−
6
,
−
2
)
,
P
3
=
(
−
8
,
5
)
.
Answer:
XD this is so ez u dont need brainly for this
Step-by-step explanation:
5
What is the slope of the line through (-3, 3) and (-1,-1)?
Answer:
(-2,-4)
Step-by-step explanation:
To find the slope you count down the units on the grid from one point to the other.
Or in this case, -3 minus -1 is -2.
3 minus -1 is -4
Therfore the slope for the line with points (-3, 3) and (-1,-1) is (-2,-4)
