A
the equation of a line in ' slope-intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
y = 5x + 3 is in this form with slope m = 5
function Q has equation y = 2x + 4
the slope of function P is 3 more than function Q
Mr. Marquis had a metal pipe that was 1,000 cm in length. He cut the pipe into 16 shorter pieces of equal length. How long was each piece?
To answer this, divide 1000 cm by 16:
1000 cm
------------------ = 66 2/3 cm per piece
16 pieces
School guidelines require that there must be at least two shop around for every 25 students going on the school trip how many chaperones must there be for 53 students
2*53/25 = 4.24
4 is not enough to maintain the required ratio, so there must be 5 chaperones, minimum.
_____
Presumably, the guidelines contain additional information regarding whether the number of chaperones can be odd. Sometimes, two are required so that one can be taking care of a student while the other handles the remaining students (or calls for emergency aid). In that case, the minimum for 53 students may be 6 chaperones.
Please Help ASAP 20 points Find the slope of the line through the given points. (−1, 2) and (−5,10) (1,3) and (0,−9) (18, 6) and (−7, 7) (−7, 10 ) and (1, 10)
The slope we can get from using this y1-y2/x1-x2
so
10-3/-5-1=7/-6=-1 1/6
There's your slope
I need help with this one please d÷12=1/6
Answer
d = 2
Step-by-step explanation:
d divided by 12 is the same as d/12?
d/12 = 1/6
cross multiply and get 12 = 6d.
6(2) = 12.
Divide 12 by 2 and you get 2/12 which simplifies to 1/6.
Hope I helped. ^-^
d = 2
given [tex]\frac{d}{12}[/tex] = [tex]\frac{1}{6}[/tex]
multiply both sides by 12
d = 12 × [tex]\frac{1}{6}[/tex] = 2
what is 15/1/20 as a improper fraction
758x93= What is the answer and how to solve it
The answer is 70494.
given sin theta = 2/5 and 0 theta 90 find sin 2 theta
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]
Step-by-step explanation:
Given : [tex]\sin \thet=\frac{2}{5}[/tex] and [tex]0<\theta<90[/tex]
To find : The value of [tex]\sin^2\theta[/tex] ?
Solution :
We have given the value of [tex]\sin \thet=\frac{2}{5}[/tex] and [tex]0<\theta<90[/tex]
To find [tex]\sin^2\theta[/tex] we just have to square [tex]\sin\theta[/tex]
[tex]\sin \theta=\frac{2}{5}[/tex]
Squaring both sides,
[tex](\sin \theta)^2=(\frac{2}{5})^2[/tex]
[tex]\sin^2 \theta=\frac{4}{25}[/tex]
Therefore, The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]
NEED HELP NOW!
The values in the table define the function f(x) . The value of f ^-1(3) is , and the value of f^-1(8) is .
f^-1 is found by reading the table from right to left, so find the f(x) number in the right hand column and f^-1 would be the number in the left hand column.
When f(x) = 3, x = 2
f^-1(3) would be 2
When f(x) = 8, x = 7
f^-1(8) = 7
As per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].
What is function?" Function is defined as the for each input value there is one and only one output."
According to the question,
From the given table value of function [tex]f(x)[/tex]defined for [tex]x[/tex]
Consider,
[tex]f(x) = y\\\\\implies x = f^{-1}(y)[/tex]
Value of required function we get,
[tex]y= 3\\\\\implies f^{-1}(3)= 2[/tex]
[tex]y= 8\\\\\implies f^{-1}(8)= 7[/tex]
Hence, as per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].
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HELP PLEASE! EASY POINTS!
For which pair of lines are ∠1 and ∠2 alternate interior angles if d is the transversal?
a and b
b and c
c and d
d and a
Angles 1 and 2 involve lines a, b, and d. If d is the transversal, then the only pair left out of those three lines is a and b.
_____
Angles 1 and 2 are between lines a and b (interior), and either side of line d (alternate), so meet the requirements to be called alternate interior angles.
Answer:
ITS A AND B
Step-by-step explanation:
What is the definition where of additive inverse?
I need help on this one please and thank you
One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.
Answer: 33 and 11
Step-by-step explanation: Both 11 and 33 would be the answr because 11 by the 2wice would be 33, and also 11 it's self would be the answer.
The numbers are x = 33 and y = 11 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that one number is 11 more than twice another number and the sum of the numbers is twice their difference
Assume that the numbers are (x) and (y). Then, we can the model the equation as follows -
x = 2y + 11
x + y = 2(x - y)
Simplifying the equations, we can write -
x + y = 2(x - y)
x + y = 2x - 2y
2x - x - 2y - y = 0
x - 3y = 0
y = x/3
Put y = x/3 in x = 2y + 11, we get -
x = 2x/3 + 11
x - 2x/3 = 11
x/3 = 11
x = 33
then y = 33/3 = 11
Therefore, the numbers are x = 33 and y = 11 respectively.
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Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−2x+4
You must get two equation to find point of intersections
Answer:
x = (2,0)
y = (0,4)
Step-by-step explanation:
Solve For x:
Lets take y as 0 so the equation is 0 = -2x + 4, and if we simplify the expression we get x = 4/2 which s x = 2 so the answer for x is (2,0)
Solve for y:
Lets take x as 0 so the equation is y = -2 · 0 + 4 which simplyfied to y = 4, so the answer for y is (0,4)
x/2 + 3 = -5 please help me
Hey there!!
Given equation :
... [tex]\frac{x}{2} + 3 = -5[/tex]
Subtracting 3 on both sides :
... [tex]\frac{x}{2} = -8[/tex]
Multiplying 2 on both sides :
... [tex]x = -16[/tex]
Hope my answer helps!!
the answer for x would be -16
I got this one wrong please help I don't understand must so work...
If each item Kathy puts in the box weighs 2 kg, then the weight of p items will be 2p kilograms. Since the box weighs 1 kg, the total weight in kilograms will be ...
... 2p + 1
Kathy wants that value to be less than or equal to 10 kg, so her inequality will be
... 2p + 1 ≤ 10 . . . . . corresponds to selection D
Line segments JK and JL in the xy-coordinate plane both have a common endpoint J(-4,11) and midpoints at M, (2, 16) and M2 (-3,5), respectively. What is the distance between M, and M2? Round to the nearest tenth.
Answer:
12.1
Step-by-step explanation:
We use the formula for the distance between two arbitrary points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the xy-coordinate plane, that is:
[tex]d=\sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]
So, replacing the points [tex]M=(2,16)[/tex] and [tex]M_2=(-3,5)[/tex], we obtain:
[tex]d=\sqrt{(2-(-3))^2 + (16-5)^2}\\d=\sqrt{(2+3)^2 + (16-5)^2}\\d=\sqrt{5^2 + 11^2}\\d=\sqrt{146 }=12.083045... \simeq 12.1[/tex]
that is the answer.
note: observe that we only use the coordinates between the two midpoints and not the point J.
Determine the solution to the following system of linear equations.
5x - 5y = 20
-2x + 2y = -4
no solution
infinitely many solutions
(5, 1)
(2, -2)
Answer:
no solution
Step-by-step explanation:
To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:
... x - y = 4
To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by -2:
... x - y = 2
These are inconsistent equations, hence have no solution.
Answer:
a
Step-by-step explanation:
With this diagram, what could be the values of m and n (Picture)?
Answer:
m=-3/8, n=12
Step-by-step explanation:
Answer: m=-3/8, n=12
Step-by-step explanation: Got it right on TTM
An expression is shown. 6 x (2.6 + 12.1) - 7 What value is equivalent to the expression? A) 81.2 B) 875 C) 87.5 D) 812
A 81.2 is the answer
Hello!
Answer:⇒⇒⇒⇒⇒⇒⇒⇒A. 81.2
Step-by-step explanation:
[tex]6(2.6+12.1)[/tex]
Add the numbers.
[tex]2.6+12.1=14.7[/tex]
[tex]6*14.7[/tex]
Multiply the numbers.
[tex]6*14.7=88.2[/tex]
[tex]=88.2[/tex]
[tex]88.2-7[/tex]
Subtract the numbers.
[tex]88.2-7=81.2[/tex]
[tex]=81.2[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
-Charlie
1. What is the algebraic expression for the following word phrase: the product of 6 and n
A. 6 - N
B. 6 + N
C. 6N
D. N/6
2. What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x and y
A. 6/x-y
B. 6/x+y
C. 6(x+y)
D. 6/x + 6y
3. What is the algebraic expression for the following word phrase: the quotient of z and 3?
A. Z/3
B. Z+3
C. 3z
D. 3-Z
Will mark brainliest for correct answers :D
Answer:
The answers would be
1. C
2. B
3. A
Step-by-step explanation:
The term product refers to multiplication. So in question 1, when we see the term quotient, we are looking to multiply.
The term quotient refers to division. So in questions 2 and 3, when we see this term, we look to divide.
Answer:
C. [tex]6n[/tex]
B. [tex]\frac{6}{(x+y)}[/tex]
A. [tex]\frac{Z}{3}[/tex]
Step-by-step explanation:
1. This expression refers to the product operation between real numbers, therefore the correct algebraic form is [tex]6n[/tex]
2. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{6}{(x+y)}[/tex]
3. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{Z}{3}[/tex]
If 11 is added to a number, the result is 45 less than twice the number. Find the number
Helpppppppppppppppp pleaseeeeeeeeeeeee
Factor. 9x^2+27x+45
9x^2 + 27x + 18 . hope i helped
The factors of the quadratic equation are (-3 - √11i) and (-3 + √11i).
What is a quadratic equation?A quadratic equation is an algebraic equation of degree 2.
Given a quadratic equation 9x² + 27x + 45 = 0.
We know simplifying a quadratic equation doesn't change the roots of the equation.
∴ We can divide each of the terms by 9 which makes the quadratic equation x² + 3x + 5 = 0.
Now two numbers which multiplied to 5 and add to 3 are not possible for real numbers, therefore, the roots must be imaginary.
We know Sridhar Acharya's formula which is [tex]\frac{ - b \pm\sqrt{b^2 - 4ac}}{2a}[/tex].
[tex]= \frac{ - 3 \pm\sqrt{3^2 - 4.1.5}}{2.1}[/tex].
[tex]= \frac{ - 3 \pm\sqrt{9 - 20}}{2}[/tex].
[tex]= \frac{ - 3 \pm\sqrt{-11}}{2}[/tex].
[tex]= \frac{ - 3 \pm\sqrt{11}i}{2}[/tex].
Therefore the factors of the quadratic equation are
(-3 - √11i) and (-3 + √11i).
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The fair market rental rate for Fort Wayne was $611 in 2011 and $567 in 2005. Find the unit rate of change for rent in Fort Wayne during this period
If you assume the rental cost changes in a linear fashion, the change over 6 years was $44. The "unit rate of change" is then $44/(6 years) ≈ $7.33/year.
Consider the trigonometric function f(x)=4cos(2x pi/2) +9
How do you determine the minimum and maximum values of this function?
Answer:
Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).
Step-by-step explanation:
f(x) is the cosine function, multplied by 4 and with 9 added to the result.
The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.
The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.
The minimum and maximum of f(x) are 5 and 13, respectively.
Max and Min:
Max = 13
Min = 5
COS Standard Period
[tex]2\pi[/tex]
COS Period with a multiplier of 2 on x
[tex]\pi[/tex]
COS Period with a multiplier of 2 on x and a Phase Shift
Answer to period
[tex]\frac{5}{4}\pi[/tex]
Step-By-Step Explanation:
Please view the image I have provided.
Simplify the expression where possible. (-4x 2) 2
Answer: 16x^4
Step-by-step explanation:
Which expression is equivalent to 2^ 2 x 2/2^ 4
a:2^ -2
b: 2^ -1
c: 2^ 6
d: 2^ 7
(Please show work!! (: )
(b)
using the 'laws of exponents '
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
2² × [tex]\frac{2}{2^{4} }[/tex] = [tex]\frac{2^{3} }{2^{4} }[/tex] = [tex]2^{(3-4)}[/tex] = [tex]2^{-1}[/tex]
I organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic what percent of the garbage was plastic
64%. You would divide 16 from 25 because you're trying to find the amount of garbage that was plastic.
Hope this helped! :)
Pls help two geometry questions attached.
Answer:
the answer is D and A hope this helps
B and D
under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x )
A(5, 4 ) → A'(4, - 5 )
B(6, 9 ) → B'(9, - 6 )
C(2, 8 ) → C'(8, - 2 )
These points correspond to the coordinates in the diagram → B
under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
A(- 1, 2 ) → A'(- 2, - 1 )
B(-1, 5 ) → B'(- 5, - 1 )
C(- 3, 5 ) → C'(- 5, - 3 )
D(- 3, 2 ) → D'(- 2, - 3 )
These points correspond to the coordinates in the diagram → D
simplify 35x^3y^5/7x^2y^4 show work mark brainliest only answer if you know how to do laws of exponents
When you write expressions like this, you need to pay attention to the Order of Operations. As this is written, the only factor in the denominator is the one immediately after the division symbol: 7. This simplifies to
... (35/7)·x^(3+2)·y^(5+4) = 5x^5y^9
_____
We suspect you might intend ...
... (35x^3y^5)/(7x^2y^4) = (35/7)x^(3-2)y^(5-4) = 5xy
Q#..12 anybody help me?
Answer: First option. x-intercept is -5; y-intercept is -7/4
Solution:
1) To find the x-intercept we replace y by 0, and solve for x:
-(7/5)x-4y=7
-(7/5)x-4(0)=7
-(7/5)x-0=7
-(7/5)x=7
Multiplying both sides of the equation by -(5/7)
-( 5/7)[-(7/5)]x=-(5/7)(7)
x=-(5*7)/7
x=-35/7
x=-5
The x-intercept is -5
2) To find the y-intercept we replace x by 0, and solve for y:
-(7/5)x-4y=7
-(7/5)(0)-4y=7
-0-4y=7
-4y=7
Dividing both sides of the equation by -4:
-4y/(-4)=7/(-4)
y=-(7/4)
The y-intercept is -(7/4)