I'm assuming you meant to write y = 3x-4
We know that the y-intercept of the given line is (0,-4), so we need to find the equation of the line passing through (-2,5) and (0,-4).
The slope is
[tex]\frac{-4-5}{0-(-2)}=-\frac{9}{2}[/tex]
So, this means the equation is [tex]\boxed{y=-\frac{9}{2}x-4}[/tex]
Complete the coordinate proof of the theorem.
The coordinate of C( a+c , b) , AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)
What are Coordinates ?Coordinates is the value assigned to a point in a x-y graph to determine its location.
The coordinates of parallelogram is
A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)
The y coordinate is same as D as b
and the x coordinate will be a+c
C( a+c , b)
The coordinate of the mid point of AC are ((a+c)/2 , b/2)
The coordinate of the mid point of BD are ((a+c)/2 , b/2)
To know more about Coordinates
https://brainly.com/question/15300200
#SPJ1
Identify one pair of vertical angles in the diagram below,
Answer:
b and d
Step-by-step explanation:
there are two
but only one is an answer choice
b and d
the other which is not an answer choice is
a and c
gathmath
simplify 12 + 15 ÷ 3 × 6 – 4
A table is in the shape of a regular
hexagon. The perimeter of the table is 12
feet. What is the length of each side of
the table?
A 1 ft
B 2 ft
C 3 ft
D 4 ft
Answer:
B
Step-by-step explanation:
A hexagon has 6 sides. If you divide the perimeter(12) by the number of sides(6), you get the length of one side(2).
Calculate the number of two-person committees that can be formed from a group of 10 people
Bikash borrowed Rs150,000 from Anish at the rare 21% per year at the end of 9 month. How compound interest should he pay compound half yearly.
What is
162divide[6 multiply (7-4) to the second power]
help please
Answer:
please mark me brainlist
Step-by-step explanation:
i need it
Answer:
3^1 multiplied by 3^2 = 3^(1 + 2) = 3^3
162
Simplify ——————
(2•3^3)
Canceling out 2 as it appears on both sides of the fraction line
3^4 divided by 3^3 = 3^(4 - 3) = 3^1 = 3
Step-by-step explanation:
hope this helps you ♡
Each phrase in the table describes two variables whick are strongly correlated. Select all phases that imply correlation without causation.
The complete question is attached below.
The most correct phases that imply correlation without causation are 1, 5, and 6.
What is correlation?The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.
The most correct phases imply correlation without causation are;
The number of stuffed animals produced at a factory and the number of newborn babies.
The number of videos rented and the number of films in the theater.
The number of pets in the neighborhood and the amount of grass nearby.
Learn more about correlation coefficient here:
https://brainly.com/question/10725272
#SPJ1
1. What is the length of XU?
X
U
Y
36 in
V
Z
W
23 in
Answer: 49 in
Step-by-step explanation:
[23 + XU]/2 = 36 [trapezoid midsegment theorem]23 + XU = 72 [multiply both sides by 2]XU = 49 [subtract 23 from both sides]The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and the company has a fixed cost of $2,000. The Scooter Company earns a total revenue that can be determined by the function R(x) = 400x − 2x2, where x represents each electric scooter sold. Which of the following functions represents the Scooter Company's total profit?
−2x2 − 150x − 2,000
−2x2 + 250x − 2,000
−2x2 + 150x − 1,600
−300x3 − 4,000x2 + 60,000x + 800,000
The function that represents the Scooter Company's total profit is given by:
P(x) = -2x² + 250x - 2,000.
How to calculate the profit function?The profit function is calculated by the revenue function subtracted by the cost function, hence:
P(x) = R(x) - C(x).
In this problem, we have that:
The revenue function is: R(x) = 400x - 2x².The cost function is: X(x) = 150x + 2000.Hence the profit function is:
P(x) = R(x) - C(x).
P(x) = 400x - 2x² - (150x + 2000).
P(x) = -2x² + 250x - 2,000.
More can be learned about profit functions at https://brainly.com/question/25274969
#SPJ1
A company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 75 employees who logged enough hours was 87. The mean health score for all employees (population) was 85, with a population standard deviation of 6.5. Calculate the standard error of the mean
The standard error will be equal to 0.75.
What is the standard error?The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.
The standard error will be calculated by using the formula:-
SE = [tex]\sigma[/tex] / √n
Here [tex]\sigma[/tex] is the standard deviation and n is the sample number.
SE = 6.5 / √75
SE = 0.75
Therefore the standard error will be equal to 0.75.
To know more about standard errors follow
https://brainly.com/question/14467769
#SPJ1
What is the product?
- 6(x²-1)-8(x+1)
O 6(x-1)²
O 6(x²-1)
O(x + 1)(6x-1)
O(x-1)(6x - 1)
Answer: C
Explanation:i got it right on my test
The temperature is 20 degrees and is expected to fall 2 degrees each hour.
Write a linear equation in slope-intercept form to model this situation.
Answer:
20-2h
Step-by-step explanation:
20 is the original amount. The variable stands for the number of hours. You are TAKING AWAY 2 degrees every hour so you would subtract.
A
Find the value of x.
6
X
B
D
x = [?]
8
4
C
Answer:
x = 3
Step-by-step explanation:
8/2 = 4
6/2 = 3
x = 3
Find the area of triangle PQR.
Step-by-step explanation:
To get the angle of QPR, we subtract 90-60=30. This proves that the triangle is a 30,60,90, as angle QRP must be 60°. To get the area, we must know the length and width. These can be derived from a known relationship within 30,60,90 triangles.
[tex]qp = \frac{\sqrt{3}}{2} n[/tex]
[tex]qr = \frac{1}{2} n[/tex]
[tex]pr = n[/tex]
because half of pr is 10, we can conclude that n is 20. So we plug 20 into N for QP and QR, and get values of
[tex]qp = 5 \sqrt{3} [/tex]
[tex]qr = 5[/tex]
Now we multiply (l*w)/2 and get:
[tex] \frac{(5 \sqrt{3} \times 5)}{2} = 21.65 \: units[/tex]
Change a Relation to Make It a Function The relation R is shown below as a list of ordered pairs. R = { (1, 4), (1, 3), (-1, 3), (2, 15) } Which ordered pairs prevent this relation from being a function? (1, 4) and (1, 3), because they have the same x-value (1, 3) and (–1, 3), because they have the same y-value
Answer: (1,4) and (1,3) because the have the same x-value
Step-by-step explanation:
A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).
Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.
What is the area of Maria’s circle?
6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared
The area of Maria’s circle is 18π square units option fourth is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The figure is missing.
Please refer to the attached picture for the figure.
We have given the radius of the circle as 3 units
r = 3 units
Area of circle = πr² = π(3)² = 9π square units
The area of Maria’s circle = 2(9π) = 18π square units
Thus, the area of Maria’s circle is 18π square units option fourth is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
Basically look at the picture I don’t even know what to say
Answer:
C
Step-by-step explanation:
x = [tex]\frac{2}{3}[/tex] πr³ ( multiply both sides by 3 to clear the fraction )
3x = 2πr³ ( divide both sides by 2π )
[tex]\frac{3x}{2\pi }[/tex] = r³ ( take cube root of both sides )
[tex]\sqrt[3]{\frac{3x}{2\pi } }[/tex] = r
Answer:
[tex]r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]
Step-by-step explanation:
This question make look scary, but don't judge its book by its cover.
[tex]x=\frac{2}{3} \pi r^{3} \\\frac{2}{3} \pi r^{3}=x\\r^{3} =x / \frac{2\pi }{3} \\r^{3} =x*\frac{3}{2\pi } \\r^{3} =\frac{3x}{2\pi } \\r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]
The set of all numbers greater than or equal to −5 and less than 5.
Answer:
No. greater than of equal to (-5) = -4,-3,-2,-1,0,1,2,3,4,5,6...........
No. less than 5 = 4,3,2,1 ,0,-1......
{ -4,-3,-2,-1,0,1,2,3,4}
Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.
How much did Britney earn last week?
Enter your answer in the box.
$
Mattress sale Amount
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800
Answer:
$809.25
Step-by-step explanation:
→ Find the sum of the sales amount
2400 + 3200 + 1900 + 800 = 8300
→ Find the amount that s commission
( 9.75 × 8300 ) ÷ 100 = $809.25
Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.
Melissa and Corey started on different trails.
Melissa hiked up the trail for a longer period of time than Corey.
Melissa and Corey crossed paths between 60 and 90 minutes.
Corey began his descent before Melissa.
As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.
The true statements are (A), (B) and (D)
What is data?Data is information that has been translated into a form that is efficient for movement or processing.
As, from the given table we can see that
Melissa and Corey started on different trails.Melissa hiked up the trail for a longer period of time than Corey.Corey began his descent before Melissa.Learn more about this concept here:
https://brainly.com/question/4354745
#SPJ1
Construct a polynomial function with the following properties fifth degree, 3 is a zero of multiplicity 3, - 4 is the only other zero, leading coefficient is 3
The polynomial function with the given properties is; y = 2(x - 3)³(x + 4)²
How to construct polynomial functions?Polynomials are defined as algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
We need to form a polynomial expression with the following properties;
fifth-degree, 3 is a zero of multiplicity 3, −4 is the only other zero and ,the leading coefficient is 3. Thus, the polynomial will be;
y = 2(x - 3)³(x + 4)²
Read more about Polynomial functions at; https://brainly.com/question/7693326
#SPJ1
The graphs below have the same shapes. What is the equation for the red graph?
The equation for the red graph is f(x) = -x².
How to depict the equation?From the information given, g(x) = 4 - x².
The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:
(x, y) = (x, y -4).
The equation of the function will be:
f(x) = g(x) - 4
f(x) = (4 - x²) - 4
f(x) = -x²
Learn more about equations on:
brainly.com/question/9681517
#SPJ1
Line l passes through point (−2,37) and line p is the graph of y+3=−5(x+4) .
If l is parallel to p what is the equation of l ?
The slope of line p is -5, so substitute into point-slope form, we get
[tex]\boxed{y-37=-5(x+2)}[/tex]
If f(x) = 2x+6 and g(x)= x3 what is (g f)(0)?
Answer:
[tex]27[/tex]
Step-by-step explanation:
[tex]g(f(0))=g(2(0)+3)=g(3)=3^3=27[/tex]
PLEASEEEEEE HELPPPPPPP!!! 50 POINTSSSSSS
12 = 6^2 + 7^2 - 2 (6) (7) (cosA)
solve for the cosA
Step-by-step explanation:
please mark me as brainlest
If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?
Answer:
x=12
Step-by-step explanation:
16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12
Can y’all please help me with this ! Everybody have a good day!
Answer: A. She substituted incorrectly into the distance formula
She should be subtracting x from x and y from y but she is subtracting y from x.
Math: One to One function...help!
A one-to-one function has an inverse. The inverse is another function that undoes the action of the first one, so if we evaluate a function [tex]f[/tex] at some point [tex]x[/tex] to get the number [tex]f(x)[/tex], evaluating the inverse at [tex]f(x)[/tex] will recover the original input [tex]x[/tex]. In other words,
[tex]f^{-1}(f(x)) = x[/tex]
The process works in the opposite direction, too:
[tex]f\left(f^{-1}(x)\right) = x[/tex]
From the given definition of [tex]g[/tex], we have [tex]g(-4) = 3[/tex], so taking inverses on both sides, we find
[tex]g(-4) = 3 \implies g^{-1}(g(-4)) = g^{-1}(3) \implies \boxed{g^{-1}(3) = -4}[/tex]
Given [tex]h(x)=2x-13[/tex], evaluating [tex]h[/tex] at its inverse will recover [tex]x[/tex], so that
[tex]h\left(h^{-1}(x)\right) = x \implies 2h^{-1}(x) - 13 = x \implies \boxed{h^{-1}(x) = \dfrac{x+13}2}[/tex]
[tex](h\circ h^{-1})(x)[/tex] is another way of writing the compound function [tex]h\left(h^{-1}(x)\right)[/tex]. As already discussed, this reduces to [tex]x[/tex], so
[tex]\boxed{\left(h\circ h^{-1}\right)(-9) = -9}[/tex]
Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.
What are the dimensions of the cropped photo?
8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches
Answer:
x = 9 or B
Step-by-step explanation:
Formula
(x + 2)^2 = 121
Comment
The easiest way to do this is to take the square root immediately, which is usually possible.
Solution
√(x + 2)^2 = √121 Take the square root
x + 2 = 11 Subtract 2 from both sides
x + 2 - 2 = 11 - 2
x = 9
Answer: B) 9 inches by 9 inches
Step-by-step explanation:
Edg 2022
if m=p/2+3r. find the value of p if r=1 and m=5
Answer:
p = 4
Step-by-step explanation:
[tex]m =\frac{p}{2} +3r[/tex]
[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]
[tex]\Longrightarrow 2m-6r=p[/tex]
[tex]\Longrightarrow p = 2m-6r[/tex]
If m = 5 and r = 1
Then
p = 2(5) - 6(1)
= 10 - 6
= 4
