The solution of the given system of equations is x = -7/3 and y = 7.
The given system of equations is given as,
3x + 2y = 7
y = 3x + 11
To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.
3x + 2y = 7
y = 3x + 11
⇒ 3x + 2y - y = 7 - 11
⇒ 3x + 2y - 3x - 11 = -4
⇒ 2y - 11 = -4
⇒ 2y = -4 + 11
⇒ 2y = 7
Now, substitute the value of y in the first equation to find the value of x.
3x + 2(7) = 7
⇒ 3x + 14 = 7
⇒ 3x = 7 - 14
⇒ 3x = -7
⇒ x = -7/3
Therefore, the solution of the given system of equations is x = -7/3 and y = 7.
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Write an equation in slope-intercept form for each line at the right. Line one goes from (-6,7) to (1,-7) and line two goes from about (1.25,7) to (3.25,-7)
y=-2x-5 and y=-7x+15.75 are equations in slope-intercept form for each line.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We need to find equation in slope-intercept form of line passing through of (-6,7) to (1,-7) and one more line passing through (1.25,7) to (3.25,-7)
Slope of line with (-6,7) to (1,-7) is m=-7-7/1+6=-14/7
=-2
y intercept we have to find
7=-2(-6)+b
7=12+b
-5=b
So slope intercept form of line passing through (-6,7) to (1,-7) is y=-2x-5
Now Slope of line with (1.25,7) to (3.25,-7) is
m=-7-7/3.25-1.25
m=-14/2=-7
y intercept we have to find
7=-7(1.25)+b
7=-8.75+b
b=15.75
So slope intercept form of line passing through (1.25,7) to (3.25,-7) is y=-7x+15.75
Hence, y=-2x-5 and y=-7x+15.75 are equations in slope-intercept form for each line.
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PLEASE I NEED THIS NOW
Rewrite this polynomial in terms of its simplest factors using the appropriate method: x2 − 3x − 18.
Use your keyboard and the keypad to enter your answer. Then click Done.
The polynomial in terms of its simplest factors is (x + 3)(x − 6)
How to rewrite the polynomial in terms of its simplest factorsFrom the question, we have the following parameters that can be used in our computation:
x2 − 3x − 18.
Rewrite as
x² − 3x − 18
Expand
x² − 3x − 18 = x² − 6x + 3x − 18
Factorize the expression
This gives
x² − 3x − 18 = x(x − 6) + 3(x − 6)
Factor out x - 6
x² − 3x − 18 = (x + 3)(x − 6)
Hence, the expression is (x + 3)(x − 6)
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Can someone please help me out :))
Answer:
sin(T)
cos(C)
Step-by-step explanation:
sine goes up or down for angles in the circle.
cosine goes left or right for angles in the circle.
consider a circle with is center at T, and it goes through C (so, the radius is 25 = TC).
then 7 = sin(T)×25
24 = cos(T)×25
so, sin(T) = 7/25
then, sin(T) = cos(90-T)
and the angle at C = 90-T.
therefore, cos(C)=sin(T)=7/25
tan(x) = sin(x)/cos(x)
and that would lead here always to a 7/24 or 24/7 ratio.
so, no tan function is right.
Find the area of a table top that is 3 1/3 feet by 2 feet
6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)
I multiplied 3 1/3 by 2
1. To find members for her skate team, Heather prints flyers to display around town. She posts 6 flyers
at her school and f flyers at each of the 3 nearest skate parks. Write two different expressions that
represent the total number of flyers posted.
Find the total number of flyers posted if f= 5.
Recently, the Town of Aberdeen announced they were going to acquire a large parcel of land for a new park initiative.
What is piecewise function?To fully understand what piecewise functions are and how we can construct our own piecewise-defined functions, let’s first dive into a deeper understanding of how it works.A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.In mathematics, a piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.To learn more about piecewise function refer to:
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p(x)=2x^2+4x+2
please say the answer fast I have an activity
Answer:
(-1,0)
Step-by-step explanation:
To find the x value of the vertex use the equation
-b/(2a)
-4/(2*2)= -1
this means that the x coordinate is -1
Now that we know the x value we need to find the corresponding y value
to do this we just plug in x into the equation
2(-1)²+4(-1)+2
2-4+2=0
put it all together and get (-1,0)
1.3
Two bottles of honey are compared, one costs R89,99 for 530 g and the other
R59,99 for 375 g. Which bottle is cheaper? Show all your calculations. (5)
13
Answer:
The bottle that costs R59,99 for 375 g is cheaper
Step-by-step explanation:
The given costs of the bottles of honey are given as follows;
The cost of one of the bottles of honey = R89,99 for 530 g
The cost of the other bottle of honey = R59,99 for 357 g
Let 'x' represents the bottle of honey that costs R89,99 and let 'y' represent the bottle of honey that costs R59,99, we have;
The unit cost (cost per gram) for the bottle of honey, 'x', C/gₓ = R89,99/(530 g) ≈ R 0.16979/g
The unit cost (cost per gram) for the bottle of honey, 'y', [tex]C/g_y[/tex] = R59,99/(357 g) ≈ R 0.168/g
Given that the unit cost of a bottle 'y' ≈ R 0.168/g is less than the unit cost of a bottle of 'x' ≈ R 016979/g, a bottle 'y' is cheaper than the bottle 'x'
Therefore;
The bottle that costs R59,99 for 375 g is cheaper than the bottle that costs R89,99 for 530 g.
Please help asap!!!
Rotation of PQRS by 90 degree.
What does a math transformation mean?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?
In how many ways Transformations can be divided?Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.
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Im a few hours past the deadline help pls
Answer:
311 cm squared
Step-by-step explanation:
Formulas/things to know:
area of circle = pi times r^2
diameter = r * 2
pi = 3.14159
r = radius
__________________________________________________________
CIRCLE 1:
diameter 36, radius = 36/2 = 18
area of circle = pi times 18^2
3.14159 times 324
= 1017.87601976
CIRCLE 2:
diameter 30, radius = 30/2 = 15
area of circle = pi times 15^2
3.14159 times 225
= 706.858347058
__________________________________________________________
Great, now we can calculate the difference between the areas!
1017.87601976 - 706.858347058
= 311.017672702
and then round to the nearest square centimeter: 311
answer: 311 cm squared
note: make sure to round at the end, not after calculating area for the most accurate result! :) Hope this helped
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-step explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
can someone pls help me with all of these questions
Answer:
68, 97, 81, 96, 84.2
Step-by-step explanation:
16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.
17. Take the largest stem value and find its largest leaf value. That's 97.
18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81
19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.
20. Add all values and divide your result by the number of values.
(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2
Hence 84.2 is your mean.
Which property of addition is shown? j + h = h + j
In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13
Answer:9
Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69
Jeffrey plans to rent a beach house for sister's birthday and will use the savings to pay for it the company charges to $25 cleaning fee plus $10 per hour for the house if he rents the house for six hours what will the change in Jeffrey savings
(Two-step equations)
3(k-5)= -16
What is k?
Answer:
k= -1/3
Step-by-step explanation:
hope this helps :)
find the volume of a right circular cone that has a height of 13.4m and a base with a radius of 12.5m.round your answer to the nearest tenth of a cubic meter
Answer:2192.6
Step-by-step explanation:
Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1Four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?
18 minutes
27 minutes
32 minutes
43 minutes
Answer: 32
Step-by-step explanation: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
The time taken to complete the rest questions is 32 minutes
Since Yan has already finished Three-fifths of the 45 math problems he was assigned today. The number remaining will be:
= 45 - (3/5 × 45)
= 45 - 27
= 18
Now, the time taken to complete the rest questions will be:
= 18 × 1 4/5
= 18 × 1.80
= 32.4
= 32 minutes.
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what is the value of x in the figure?
Those are vertical angles so both sides need to be equal.
2x+15 = 145
Subtract 15 from both sides:
2x = 130
Divide both sides by 2:
x = 65
Answer:
145 = 2x + 15
2x = 130
x = 65
145 and 2x + 15 are vertical angles and therefore congruent.
work out the areas of these compound shapes ? Pls step by step
Answer:
55cm^2
Step-by-step explanation:
Split into 2 parts, the rectangle on the left, and triangle on the right.
Rectangle:
8 cm x 5 cm = 40 cm^2
Triangle
14 cm - 8 cm = 6cm (Height)
(5cm(base) x 6cm)/2 = 15cm ^2
15cm^2 + 40cm^2 = 55cm^2
Can anyone help please
The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.
Which four types of parabolas are there?Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.
What distinguishes a hyperbola from a parabola?A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.
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HELP IM BEGGING ON MY KNEES FOR SOMEONE WHO KNOWS WHAT TO DO CAUSE IVE GOTTEN IT WRONG AND IM ALLOWED TO RETAKE IT
Answer:
-3/5
Step-by-step explanation:
from 1st point to second, you go down 3, right 5
Solve the answer please
Answer:
A
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
140° is an exterior angle of the triangle , then
∠ B + 90° = 140° ( subtract 90° from both sides )
∠ B = 50°
∠ ACB and ∠ DCB are a linear pair and sum to 180° , that is
∠ ACB + 140° = 180° ( subtract 140° from both sides )
∠ ACB = 40°
which option is correct (multiple choice)
Answer:
SAS
Step-by-step explanation:
Which expression is equivalent to
4x + ?
o 1(-x+2)
o 1(-2+ 3)
-1(-x+ )
- (x + 2)
Answer:
Definitely Option A.
When you expand the bracket of Option A... You have your equation
Which is
-1/4x + 1/2.
If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?
a) x = 20
b) x = 10
c) x = 5
d) x = 2
Answer:
B
Step-by-step explanation:
This is a neat question
f(x) - g(x) = 2x Add g(x) to both sides
f(x) = g(x) + 2x
Now you need the right hand side to have 20 added to g(x).
2x must = 20
2x = 20 Divide by 2
x = 20/2
x = 10
So the answer must be x = 10
x^2+6x+8=0 complete the square method
Answer:
x = - 2 or x = - 4
Step-by-step explanation:
Via completing the square:
x^2 + 6x + 8 = x^2 + 6x + (6/2)^2 - (6/2)^2 + 8
= (x + 3)^2 - 3^2 + 8
= (x + 3)^2 - 9 + 8
= (x + 3)^2 - 1
Since x^2+6x+8=0,
(x + 3)^2 - 1 = 0
(x + 3)^2 = 1
x + 3 = +- sqrt(1)
x + 3 = +- 1
x + 3 = 1 or x + 3 = -1
x = -2 or x = -4
bob is 6 feet and 2 inches tall. there are 2.54 cenemeters in 1 inch whats bob height in meters
Answer:
Step-by-step explanation:
6+2= 8
8×2.54= 20.32
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
C
Step-by-step explanation:
Hope this helpssss
2n+4=22
gimme the answer
Answer: n=9
Step-by-step explanation:
I'm assuming you want to solve for n, as that's the only possible question I can think of.
To solve for n, we want to isolate n by using inverse operations.
2n+4=22 [subtract both sides by 4]
2n=18 [divide both sides by 2]
n=9
Therefore, n=9 Is the answer.
1/6 over 1/4 x 10= x
Answer: 5/12 (five over twelve)
Step-by-step explanation:
1. COMBINE LIKE TERMS
1/6
----- * 10 = x
1/4
5/12 = x
x = 5/12