Solve the following system of equations graphically on the set of axes below.
y= x+2
y= -1/2x+8
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4,6)
»»————- ★ ————-««
Here’s why:
I have graphed the two equations in a program. The point of intersection would be the solution to the system.When graphed, the lines intersect at point (4, 6). (4,6) is the solution.⸻⸻⸻⸻
See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Related Questions
A box has three balls, one white and two red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:
a. Let F= the event of getting the white ball twice.
b. Let G= the event of getting two balls of different colors.
c. Let H= the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?
Answers
Answer:
See explaation
Step-by-step explanation:
Given
Represent the balls with the first letters
[tex]W =1[/tex]
[tex]R =2[/tex]
Solving (a): P(F) --- White balls twice
The event of F is:
[tex]F = \{(W,W)\}[/tex]
So:
[tex]P(F) = P(W) * P(W)[/tex]
[tex]P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(F) = \frac{1}{3} * \frac{1}{3}[/tex]
[tex]P(F) = \frac{1}{9}[/tex]
Solving (b): P(G) --- two different colors
The event of G is:
[tex]G = \{(W,R),(R,W)\}[/tex]
So:
[tex]P(G) = P(W) * P(R) + P(R) * P(W)[/tex]
[tex]P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(G) = \frac{1}{3} * \frac{2}{3} + \frac{2}{3} * \frac{1}{3}[/tex]
[tex]P(G) = \frac{2}{9} + \frac{2}{9}[/tex]
[tex]P(G) = \frac{4}{9}[/tex]
Solving (c): P(H) --- White picked first
The event of H is:
[tex]H = \{(W,R),(W,W)\}[/tex]
So:
[tex]P(H) = P(W) * P(R) + P(W) * P(W)[/tex]
[tex]P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(H) = \frac{1}{3} * \frac{2}{3} + \frac{1}{3} * \frac{1}{3}[/tex]
[tex]P(H) = \frac{2}{9} + \frac{1}{9}[/tex]
[tex]P(H) = \frac{3}{9}[/tex]
[tex]P(H) = \frac{1}{3}[/tex]
Solving (d): F and G, mutually exclusive?
We have:
[tex]F = \{(W,W)\}[/tex]
[tex]G = \{(W,R),(R,W)\}[/tex]
Check for common elements
[tex]n(F\ n\ G) = 0[/tex]
Hence, F and G are mutually exclusive
Solving (e): G and G, mutually exclusive?
We have:
[tex]G = \{(W,R),(R,W)\}[/tex]
[tex]H = \{(W,R),(W,W)\}[/tex]
Check for common elements
[tex]n(G\ n\ H) = 1[/tex]
Hence, F and G are not mutually exclusive
27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet
Answers
The length of the shorter piece is 15.55 feet.
Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio and solve for the lengths of the two pieces.How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feet∴ 4k + 5k = 35
∴ 9k = 35
∴ k = [tex]\frac{35}{9}[/tex]The length of shorter tube piece = 4 k = 4 × [tex]\frac{35}{9}[/tex] = 15.55 feet.
Thus, the length of the shorter piece is 15.55 feet.
As none of the options matches the answer, all options are incorrect.
Learn more about Ratio & Proportion here:
https://brainly.com/question/12182733
#SPJ2
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answers
Answer:
We want to find the graph of:
|x| = 3
Remember how the absolute value function works:
|x| = x if x ≥ 0
|x| = -x if x < 0
Then for the equation:
|x| = 3
We have two possible values of x:
x = 3
|3| = 3
and x = -3
|-3| = -(-3) = 3
Then the graph of this equation is two vertical lines, one at:
x = 3
and another at:
x = -3
The graph can be seen below:
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answers
Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes to be sold and divide by the number of girls in the troop
1000/13
76.92307692
Round up
77
Each girl must sell 77
77*13 =1001
Please can you help me
Answers
Answer:
[tex]x = 24.75[/tex]
Step-by-step explanation:
Required
Find x
To find x, we have:
[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle
Because [tex]\bar {PR}[/tex] is extended to S, then:
[tex]\angle QRS = \angle QRP[/tex]
So, we have:
[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]
Collect like terms
[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]
[tex]8x = 198[/tex]
Divide by 8
[tex]x = 24.75[/tex]
please help meeeeeeeeeeeeeeeeee
pt 1
Answers
Answer:
Completing the square
Step-by-step explanation:
The proof is lengthy, and I don't think you came here to see that whole proof. Here it is anyway to show you the process of completing the square.
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/quadratic-formula-proof-review
show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1
Answers
Answer:
y³ + x³ = 1
First, differentiate the first time, term by term:
[tex]{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}[/tex]
↑ we'll substitute this later (4th step onwards)
Differentiate the second time:
[tex]3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\[/tex]
[tex]3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}[/tex]
HELP MATH ANSWER QUESTION
Answers
the answer is in the picture
Please help pleaseeeeee
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem states, square of longer is equal to the sum of square of other sides.
That is, c² = a² + b²
[tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]
Therefore, the lengths satisfies Pythagorean Theorem.
If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.
help please show work
Answers
1/2 • 4.7 x 8 = 18.8
8.) 40.96 square miles
6.4^2 = 40.96
9.) 7 square meters
1/2 • 4 • 3.5 = 7
10.) 36.4 square centimeters
(2.6 + 7.8) ÷ 2 x 7
11.) 22.8 square yards
6 • 3.8 = 22.8
12.) 30.6 square centimeters
5.1 • 6 = 30.6
Explanation:
FORMULAS FOR AREAS OF:
Triangle: 1/2 • base • height
Square: side^2
Parallelogram: base • height
Rectangle: Length • width
Trapezoid: (a + b) ÷ 2 x height
(a & b are the two bases)
hope this helps!
Which expression can be modeled using the number line?
Answers
Answer:
7 x 1/10 = 7/10
Step-by-step explanation:
There are 7 "bumps" on the number line, and each "bump" moves the line 1/10.
This can also be modeled as
1/10 + 1/10 + 1/10 +1/10 +1/10 +1/10 +1/10 = 7/10
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answers
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
what is 186.4 ounces oz of water in millliiters (mL)
Answers
Answer:
The answer is 5284.35 using the conversion
Answer:
5284.4
Explanation:
Tbh if you have a conversion table then see the conversion for what 1 oz is equal to in mL and do the math like that… •_•
Hope this helps, have a good day!
Find the sum of the first 5 terms of the following geometric series.
512 - 256 + 128 +...
Answers
Answer:
352
Step-by-step explanation:
512 - 256 + 128 - 64 + 32 = 352
3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?
Answers
Answer:
t = -1
c = 6
s = 8.2 or 8 1/5 (same thing just different notation)
Step-by-step explanation:
3(t+4) = 9
3t + 12 = 9
3t = -3
t = -1
-(c-6) = 0
-c + 6 = 0
-c = -6
c = 6
-10(s+4) = -122
-10s - 40 = -122
-10s = -82
10s = 82
s = 82/10 = 8.2 or 8 2/10 or 8 1/5
find the equation of straight line passing through each of the following pairs of points
a) (2,4) and (7,2)
Answers
Answer:
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2), so:
Change in y: 2 - 4 = -2
Change in x: 7 - 2 = 5
Slope: [tex]m = \frac{-2}{5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + b[/tex]
(2,4)
This means that when [tex]x = 2, y = 4[/tex]. So
[tex]y = -\frac{2}{5}x + b[/tex]
[tex]4 = -\frac{2}{5}(2) + b[/tex]
[tex]b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}[/tex]
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
06.04 find the area of the image below a.24.6 units b.25.8 units c.26.3 units d.27.5 units
Answers
Divide the figure into one parallelogram and one triangle.
Count the base and height of the parallelogram:
The base is 5 units, the heigth is 3 units.
AREA- 3 • 5 = 15 units
Count the base and height of the triangle:
The base is 5 units, the height is also 5 units.
AREA- 1/2 • 5 • 5 = 12.5
Add the area of the parallelogram and the area of the triangle:
15 + 12.5 = 27.5
SO, the area of the whole figure is 27.5 square units.
BRAINLIEST WILL BE APPRECIATED!
Have a nice day -SpaceMarsh
Cos15°°- Sin 15°= 1/√2
Answers
Hope it's help you
Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11
Answers
Answer:
I think choose (1)
[tex]125 ^{ \frac{1x}{3} } [/tex]
PLEASE HELP ASAP Determine the period.
Answers
Pic added
Solve for x.
L
20x + 10
850
K
J
3
8
Answers
Answer:
Option (3)
Step-by-step explanation:
By applying the property of inscribed angle and intercepted arc in the given circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]
[tex]85=\frac{1}{2}(20x+10)[/tex]
[tex]170=20x+10[/tex]
[tex]20x=160[/tex]
[tex]x=8[/tex]
Therefore, Option (3) is the correct option.
If 12 muffins cost $27, how much would 2 muffins cost?
Answers
67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answers
Answer:
2/3
Step-by-step explanation:
2/3 is 66 2/3%
Tính (1,5)4; ((-2)/3)3; (√3)5.
Answers
Step-by-step explanation:
câu trả lời là trong bức ảnh trên
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?
10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
–32 and 2
–2 and 32
–2 and 2
–32 and 32
Answers
For this problem you really need to use algebraic skills. Coefficients refer to the number by the variable. So if you follow the steps it gives you then you’re fine.
Problem:
10(0.5x+2) - 5 = 3(x-6) + 1
Distribute:
5x +20 - 5 = 3x - 18 + 1
Combine like terms:
5x + 15 = 3x - 17
Addition and subtraction properties:
5x - 3x + 15 = -17
2x = -17 -15
2x = -32
OR:
5x + 15 = 3x - 17
15 + 17 = 3x - 5x
32 = -2x
Therefore your answer is -2 and 2 because coefficient is the number being multiplied by the variable. In this case it can be -2 or 2 depending where you move the variables (aka adding them or subtracting them from both sides)
Answer:
-2 and -2
Step-by-step explanation:
5v– 1/2 =4+ 3/2 v
How does one person solve this if the like terms are on opposite sides?
Answers
Answer:
Step-by-step explanation:
Given
[tex]5v - 1/2 = 4 + 3/2v[/tex]
Required
Solve
We have:
[tex]5v - 1/2 = 4 + 3/2v\\[/tex]
Collect like terms
[tex]5v - 3/2v = 4 + 1/2[/tex]
Express fractions as decimals
[tex]5v - 1.5v = 4 + 0.5[/tex]
[tex]3.5v = 4.5[/tex]
Make v the subject
[tex]v= \frac{4.5}{3.5}[/tex]
Divide by .5
[tex]v= \frac{9}{7}[/tex]
What is the answer. I need it ASAP u have to choose 3 answers
Answers
y=1.25 :))))
If it is true, don't forget to click ”thanks♥️” for me
Evaluate the expression for the given value of the variable.
3x + 4 when x = 2
5y - 3.6 when y = 4
7z4+ 1.05 when z = 1.2
20 - b3.2when b = 5.2
Answers
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
Which operation should you perform first in the expression 7x2^3?
Answers
Answer:
Below,
Step-by-step explanation:
The exponent part is done first
7 x 2^3
= 7 * 8
= 56.
You use the acronym PEMDAS:-
( E ( exponential) comes before M (multiply))
There are 5,000 books in the town's library. Of these, 4,700 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Answers
Answer:
94%
Step-by-step explanation:
4,700/5,000 x 100%
0.94 x 100% = 94%
Answer:
94%
Step-by-step explanation: