Answer:
y = 15d + 25 or y = 15x + 25
A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).
The solution to the system of equations is (2,0)
The equation is given as:
[tex]y = 0.5x - 1[/tex]
The other equation passes through the points (3,1) and (-5,-7).
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-7 - 1}{-5 -3}[/tex]
[tex]m = \frac{-8}{-8}[/tex]
[tex]m =1[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = 1(x -3) + 1[/tex]
[tex]y = x -3 + 1[/tex]
[tex]y = x -2[/tex]
Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]
[tex]x- 2 =0.5x - 1[/tex]
Collect like terms
[tex]x-0.5x= 2 - 1[/tex]
[tex]0.5x= 1[/tex]
Divide both sides by 0.5
[tex]x= 2[/tex]
Substitute 2 for x in [tex]y = 0.5x - 1[/tex]
So, we have:
[tex]y = 0.5\times 2 - 1[/tex]
[tex]y = 1 - 1[/tex]
[tex]y = 0[/tex]
So, we have:
[tex](x,y) =(2,0)[/tex]
Hence, the solution to the system of equations is (2,0)
Read more about systems of equations at:
https://brainly.com/question/14323743
A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen
Answer:
12
Step-by-step explanation:
Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)
There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...
I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<
How can probability be applied to decision making?
Answer:
ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================#CarryOnLearningAnswer: Using Probability to Increase the Odds of success
what is the answer in simplest form and is it real or imaginary?
Answer:
12.292 or 1.708
Step-by-step explanation:
1#60 - (2 • (x + 7)2 + 4) = 0
2# -2x2 - 28x - 42 = -2 • (x2 + 14x + 21)
3#x2 + 14x + 21 = -2 • (x2 + 14x + 21) = 0
[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]
[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]
[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]
[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]
h has imaginary rootsWrite equations for the horizontal and vertical lines passing through the point (4-1)
Answer:
y = - 1 , x = 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 1 ) with y- coordinate - 1 , then
y = - 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 1 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line
Determine the slope of the line that passes through the points (-8,-4) and (0, -1).
Answer:
3/8
Step-by-step explanation:
(-1-(-4))/(0-(-8))
=3/8
hi guys need some help with this one question thanks
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answer:
y = 2/3x
Step-by-step explanation:
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
Which expression is equivalent to 7x + 5x?
a. 12x
b.12x^2
c. 35x
d. 35x^2
Answer:
12x
Step-by-step explanation:
8(3x – 6) = 6(4x + 8)
Answer:
0=96
Step-by-step explanation:
8 x 3x= 24x 8 x- 6= -48 6 x 4x=24x 6x 8=48
24x -48= 24x+48
24x-24x= 48 +48
0= 96
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. F(x) = |x| f(x) = |x â€" 2| f(x) = |x| 3 f(x) = 2. 9|x| f(x) = 1. 2|x 8| f(x) = 0. 7|x| â€" 3. 2.
The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
For an absolute value function to be narrower than its parent function, the following highlights must be true:
The function must be dilatedThe scale of dilation must be greater than 1From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2
However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Read more about absolute value functions at:
https://brainly.com/question/7515527
Find the pressure in N/m^2 exerted by a force of 42 N on an area of 7 m^2.
Answer:
Answer:
Force = 42 N
Area = 7 m^2
Pressure = Force/Area
= 42/7
= 6 N/m^2.
Step-by-step explanation:
got it from brainly
if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels
Answer:
225 km
Step-by-step explanation:
75 · 3 = 225
Answer:
225 km
Step-by-step explanation:
Distance = Speed × Time
Distance = 75km/h × 3
Distance = 225km
Solve the following system of equations.
4x + 7y= 18
- 7x - 8y = -23
X =
y =
im lazy to solve in my paper hope it helps
May I please receive help?
Answer:
it depends on the choices
Step-by-step explanation:
Please Help Question in picture
Also please dm me on in sta : yourdealerjeremi
I could use help on a few more questions
Answer:
c) line VR is parallel to line ST
can someone help me pleasee
Answer:
Erich planted 7 seeds ...
he had to remove 17 plants ....
he expected to have less or equal 46 plants ...
Step-by-step explanation:
Look at keywords like remove ~ => which indicates that something is being subtracted
Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)
5+7x to the power of 2+4x
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
Solve for C: C-9(greater than or equal too sign)9
Answer:
[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]
Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.
The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.
Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:
[tex]\overline {OA} \cong \overline {BC}[/tex] [tex]\overline{AB} \cong \overline{OC}[/tex] [tex]\angle AOC \cong \angle ABC[/tex]In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:
[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)
If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].
Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.
To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/555469
29) What is the slope of the line x = -5?
Answer:
The slope is undefined.
Step-by-step explanation:
x=-5 is not a function, therefore, the slope would be undefined.
To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.
The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?
I need a complete equation and step by step explanation showing the numbers, not how you did it.
Answer:
= 24.5
Step-by-step explanation:
1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5
55.5 + 2 adult tickets = 104.50
104.50 - 55.5 = 2 adult tickets
= 49 for 2 adult tickets
49/2 = 1 adult tickets
= 24.5
Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?
Answer:
1: $92000 2: 52000 + 4000t= current salary
Step-by-step explanation:
1: simple arithmetic, 52000 + 4000(10)=92000
2: equation is formed as InitialSalary + 4000*(years at company) = New Salary
or with other variables, 52000+4000*t=N
I need help with A-G,I,L,N
I hope yall have a merry Christmas
Format of my answer:
[Problem letter] Parallel Lines
- Converse / Reason
!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!
[a] j & k
- If two lines intersected by a transversal form congruent alternate interior angles, then the lines are parallel
[b] m & n
- If angles are supplementary in this placement, the lines are parallel
[c] l & n
- If angles are equal when they are corresponding, the lines are parallel
[d] l & m
- If two angles that are congruent are vertical, the lines are parallel
[e] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[f] l & n
- If angles are supplementary in this placement, the lines are parallel
[g] l & n
- If two angles that are congruent are vertical, the lines are parallel
[h] -------
[i] l & n
- If two angles that are congruent are vertical, the lines are parallel
[j] -------
[k] -------
[l] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[m] -------
[n] j & k
- If angles are supplementary in this placement, the lines are parallel
[o] -------
-> See attached for more information
Have a nice day! - hopefully these are mostly correct, been awhile since I've done this
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
So the answer is all of that
Answer:
What's the question?
Step-by-step explanation:
-5/9+(-4/3)-2/3 khan academy. Please help !!!
Answer:
= -2.554
Step-by-step explanation:
BODMAS Rule:
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
-4/3 = -1.33333333333
-2/3 = -0.66666666666
-5/9 = -0.55555555555
-0.555+(-1.333)-0.666
= -2.554
Step-by-step explanation:
[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]
First deal with the bracket to get
[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]
Next, find the L.C.M which is 9
[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]
[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]