The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.
From the information given;
3x + y = -2 ----- (1)
y = 2x +3 ----- (2)
By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:
3x + (2x + 3) = -2
3x + 2x + 3 = -2
5x + 3 = -2
5x = -2 - 3
5x = - 5
x = -5/5
x = -1
From equation (2), let's replace the value of x = - 1 into equation (2);
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
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Write an equation in slope-intercept form of the line that passes through (−1, 4) and (0, 2)
[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]
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What is the equation of this graphed line?
Answer:
You said quick so here it is
[tex]y-6=2(x-2)[/tex]
What is the area of a parallelogram with base 40 mm and height 18 mm?
Answer:
720 mm²
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
For the given base and height, the area is ...
A = (40 mm)(18 mm) = 720 mm²
in Emma's supply box a pencil weighs 3ounces.her scissors weigh 3 ounces more than the pencil and a bottle of glue weigh three times as the scissors how much those the bottle of the glue weigh in pounds and ounces.
Answer:
18 Ounces which is equal to 1 pound and 2 ounces
Step-by-step explanation:
pencil weighs 3 ounces
scissors weighs =pencil+3 ounces =6 ounces
bottle of glue=3*scissors which is equal to 18 Ounces simple 16 ounces = 1 pound
Thanks
Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1
Answer:
Gracias por los puntos
Bye :v
A triangle has vertices at A(-3, 2), B(-1, -5) and C(4, 5). The triangle is transformed using the rule ro,o . What are the coordinates of A", B', and C?
Answer:
I thinck letter c.
Step-by-step explanation:
Because C.
The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?
Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
A
Both the mean age and the median age will increase.
B
The mean age will increase, and the median age will remain the same.
C
The mean age will remain the same, and the median age will increase.
D
The mean age will remain the same, and the median age will decrease.
The mean age will increase, and the median age will remain the same.
Option B is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Ages:
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
The mean of the ages.
= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13
= 211/13
= 16.23
The median of the ages.
= 16
Now,
18 becomes 19.
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.
Mean = 212/13 = 16.3
Median = 16
Thus,
The mean age is increased.
The median is the same.
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solve for m -7/9 m = 11/6
Answer:
19/18
Step-by-step explanation:
substitute the value of m(11/6) in m-7/9
which is equal to 11/6 -7/9 =19/18
In a proposed business venture, a businesswoman estimates there is a 65% chance she will make $57000 and a 35% chance she will lose $67000. Determine her expected value.
Answer:
q
Step-by-step explanation:
Please help solve for a in the equation in the photo
[tex]\huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]
[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]
[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]
[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]
[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]
[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]
[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]
[tex]\underline{\bf Answer:—}[/tex]
[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]
Answer:
[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]
Step-by-step explanation:
[tex]\sf G=a(4-d^2)[/tex]
Use the Distributive Property to multiply a by (4-d^2):
[tex]\sf G=4a-ad^2[/tex]
Now, we'll swap sides so that all variable terms are on the left hand side.
[tex]\sf 4a-ad^2=G[/tex]
Combine like terms:
[tex]\sf (4-d^2)\:a =G[/tex]
Divide both sides by 4-d^2:
[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]
Dividing by 4-d^2 undoes the multiplication by 4-d^2.
[tex]\sf a=\cfrac{G}{4-d^2}[/tex]
_______________________________________
A vase held flowers 1/2 is the flowers were roses and 1/4 of those flowers were red what fraction where red roses?
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L
Answer:
Step-by-step explanation:
11L - 42 = 4L
7L = 42
L = 6
please this done soon asap
Answer:
x-variable
Step-by-step explanation:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
Answer:
1. Y is the variable terminated.
2. X = 1
3. Y = -1
4. (1,0) and (0,-1)
Step-by-step explanation:
After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.
From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.
Our solution would be (1,0) and (0,-1)
3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.
Beatrice used a slingshot to launch an egg into the air. She recorded the egg's path using a motion detector. The following data represents the height (in feet) of the egg at certain time points (in seconds). Distance is the dependent variable and time is the independent variable: {(0.0, 16), (1.7, 20.46), (2.5, 23.16),(3.7, 23.51),(5.1, 20.07), (6.6, 12.4),(7.3,5.62), (8.0, 0.15)}
At approximately which time is the egg on the ground?
A). O seconds
B). 16 seconds
C). 8 seconds
D). -2 seconds
E). The egg is never on the ground.
Answer:
mmm, well, not much we can do per se, you'd need to use a calculator.
I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.
That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.
Step-by-step explanation:
hello, please help me thanks:)
Step-by-step explanation:
2x + 5y
first add 2 and 5
and join x and y and it
answer is 2+ 5
=7 and x+y = xy
it axle answer is
= 7xy
A dog shelter is giving away 18 different dogs, but you have room for only 4 of them.
How many different dog families could you create?
Answer:
..2
Step-by-step explanation:
The number of different dog families that you can create will be 3060.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.
Then the number of different dog families that you can create is given as,
¹⁸C₄ = (18!) / [(18 - 4)! x 4!]
¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)
¹⁸C₄ = 6 x 17 x 2 x 15
¹⁸C₄ = 3060
The number of different dog families that you can create will be 3060.
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You buy 3.9 pounds of trail mix. The mix
costs $2.78 per pound. What is the total
price for the trail mix?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
Pls help. I'll mark you as brainliest.
The test scores of randomly selected students are listed: 30, 35, 43, 44, 47, 48, 54, 55, 57, 59, 62, 63, 65, 66, 68, 69, 71, 72, 73, 74, 76, 77, 77, 78, 79, 80, 81, 81, 82, 83, 85, 89, 92,93,94,97,98 Find the median.
Answer:
the median is 73 because 73 is the middle number
Find the volume in cubic feet of a rectangular moving van with length 14 feet, width 7 feet, and height 7 feet
Answer:
length (l) = 14 feet
breadth (b) = 7 feet
height (h) = 7 feet
so, volume of the
rectangular moving
van = l*b*h
=14feet * 7feet *7feet
= 686 cubic feet
I WILL GIVE BRAINLEST HURRY PLEASE ITS DUE RIGHT NOW HURRY PLEASE plssss help me if your good at finding area in shapes plsss
The quotient of a number and negative eight is five-eighths. Find the number.
Answer:
-64/5
Step-by-step explanation:
Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.
The number is -64/5
Answer:
n = -5
Step-by-step explanation:
Form this quotient, representing the number by n: n / (-8) = 5/8.
Solve this equation for n by multiplying both sides by 8: -n = 5. Then n = -5
Which values from the given replacement set make up the solution set of this inequality?
5m≤10; {0, 2, 4, 6}
{0, 4, 6}
{2}
{0, 2}
{2, 4, 6}
Answer:
the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}
Step-by-step explanation:
5m[tex]\leq[/tex]10
divide by 5 on both sides and you are left with
m[tex]\leq[/tex]2
only 2 and 0 are less than or equal to 2
Hope this helps!
Can someone please help me on these? Please explain. Thank you.
Answer:
It might be 109 degrees
Step-by-step explanation:
Point J: 48 degrees
Point H: 23 degrees
Point F: 109 degrees
109 + 48 + 23 = 108 degrees
If a < b then ka < kb
Pls help I’ll brainlest and add extra points
Answer:
slope is -3
y intercept is 6
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at 6
We need two points to find the slope (0,6) and (2,0)
m = ( y2-y1)/(x2-x1)
= (0-6)/(2-0)
= -6/2
= -3
The slope is -3
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
I need Someone to help me with this problems equation and answer must be correct (100 Points)
Answer:
1) 3x+18=45 x=9
2)8-5x=-7 x=3
3)3+2x=15 x=6
4) 12million - 2 million = 10 million
Step-by-step explanation:
What type of angle of this?
Answer:
angle x is equal to 60º so its an acute angle
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these
180-120=60
On a bird-watching trip, Mei and Jackie counted 68 birds.
Of these, 45 of the birds were sparrows. Which value is a
reasonable estimate of the percent of sparrows in the
birds Mei and Jackie counted?
1. 175%
2.140%
3. 70%
4. 90%
Answer:
The answer is 70% if you round it.
Step-by-step explanation:
45 out of 68 is 66 but if you're rounding it the answer is 70%.
Cushman Company had $842,000 in sales, sales discounts of $12,630, sales returns and allowances of $18,945, cost of goods sold of $399,950, and $289,650 in operating expenses. Gross profit equals:
Answer: $120825
Step-by-step explanation:
Add everything up then subtract $842000 by it
