It is -1/2x + 2...she just didnt add the negative sign
The equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
We have a graph as shown in the figure.
We have to find out the equation of this straight line in the graph.
What is the general form of the equation of a Straight line?The general form of a equation of a straight line is -
y = mx + c
where -
m - slope of line
c - the y - intercept
We have -
The y intercept of the straight line as = (0, 2)
The x intercept of the straight line as = (4, 0)
The slope of the line will be m = [tex]\frac{2 - 0}{0 - 4}[/tex] = - [tex]\frac{1}{2}[/tex]
The y-intercept is at (0, 2) , therefore the value of c = 2.
Substituting the values in the general equation of line we get -
y = mx + c
y = [tex]-\frac{1}{2} x[/tex] + 2
Hence, the equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
To solve more questions on Equation of line, visit the link below -
https://brainly.com/question/10724541
#SPJ5
Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?
GRAPH A:
https://cdn.ple.platoweb.com/EdAssets/569ffaae985e4d30af1d47501f6a3071?ts=635295994038270000
GRAPH B:
https://cdn.ple.platoweb.com/EdAssets/a0685f1258de4321b8ad526cba13ea68?ts=635295994033270000
GRAPH C:
https://cdn.ple.platoweb.com/EdAssets/7a8269a9613f472e9fd34597d3a0185c?ts=635295994031070000
GRAPH D:
https://cdn.ple.platoweb.com/EdAssets/9886daa9d6944ccd91d245f0d522c20a?ts=635295994027500000
Answer:
Graph B is the answer.
Step-by-step explanation:
We know that both functions are inequalities, however,
The second one (red on the graph) has 'less or equal sign, ≤' meaning that, the line of the function is included as shown on graph B with a continuous line.
The first one has a 'greater than, >' meaning that the line of the function is not included, therefore the line is a dotted line, as shown on graph B.
The shaded area must be between the two inequalities because that where the X's can be met.
Therefore, the answer is graph B.
PLEASE HELP ASAP!! BRAINLIEST TO RIGHT/BEST ANSWER
A box measures 6inches by 2inches by 3 inches find the volume of the box in cubic feet enter as a fraction ?
Three dice are going to be rolled. What is the probability that the first die rolled is a 1, the second die rolled is a 2, and the third die rolled is a 3? (If necessary, round to the nearest tenth)
Probability of getting first die rolled is a 1, second die rolled is a 2 and third die rolled is a 3 is equals to 0.46% (nearest tenth).
What is probability?
" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Possible outcomes on each die = { 1, 2, 3, 4, 5, 6}
Substitute the value in the formula as per the given condition we get,
Probability that the first die rolled is a 1 = ( 1 / 6)
Probability that the second die rolled is a 2 = ( 1 / 6)
Probability that the third die rolled is a 3 = ( 1 / 6)
Required Probability = (1 / 6) × (1 / 6) ×(1 / 6)
= ( 1 / 216)
= 0.0046
= 0.46% (nearest tenth)
Hence, required probability (nearest tenth) = 0.46%
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
The steps used by Taylor to solve the equation 3(x - 2) = 6(2x + 1) + 6 are shown below:
3(x - 2) = 6(2x + 1) + 6
x - 2 = 2(2x + 1) + 2
x - 2 = 4x + 2 + 2
x - 2 = 4x + 4
-3x - 2 = 4
-3x = 6
x = -2
Which properties did Taylor use to solve
the equation? Choose all that apply.
A. Distributive property
B. Commutative property
C. Inverse Operation Property
D. Associative property of multiplication
E. The sum of a number and its additive inverse is 0.
F. The product of a number and its multiplicative inverse is 1.
When solving negative one over five(x − 25) = 7, what is the correct sequence of operations?
A. Multiply each side by negative one over five, add 25 to each side
B.Multiply each side by 5, subtract 25 from each side
C.Multiply each side by negative one over five, subtract 25 from each side
D.Multiply each side by −5, add 25 to each side
Option: D is the correct answer.
D.Multiply each side by −5, add 25 to each side
Step-by-step explanation:We are given an algebraic expression in terms of variable x as follows:
[tex]\dfrac{-1}{5}(x-25)=7[/tex]
Now, firstly we will multiply both side of the equation by -5 to get:
[tex]\dfrac{-1}{5}\times (-5)(x-25)=7\times -5\\\\i.e.\\\\x-25=-35[/tex]
Now we add both side of the equation by 25 to get:
[tex]x-25+25=-35+25\\\\i.e.\\\\x+0=-10\\\\i.e.\\\\x=-10[/tex]
I need consumer math help!!!!!
1. A house is used as for a loan (1point)
a)an asset
b)security
c)insurance
d)collateral
2.Most credit cards are debt. (1point)
a)unsecured
b)secured
c)collateral
d)relaized
3.You have a balance of $1,678.00 on a credit card with a 15.75% APR. How much intrest is accured if you pay nothing on the principal after 3 months?
a)$22.02
b)$66.07
c)$264.29
d)$88.10
4.you carry a balance of $2,065.00 on a credit card at a 17.25% APR for 5 months. How much is your total payment by the fifth month? (1point)
a)$2,094.68
b)$2,213.42
c)$2,421.21,
1.D) collateral
2.A.) Most credit cards are unsecured debt
3.B.)$66.07
4.B.) 2,213.42
4/4 100%
HOPE I HELP I HAVE A NICE DAY
PLZ HELP!!!!!! The assessment for this lesson is to participate in a discussion about composite figures. You will be able to participate in the discussion throughout the unit. You are required to complete the following: 1) Respond to the discussion topic. 2) Respond to your two of your classmates’ ideas as well. Discussion Topic: What is an example of a composite figure in your home or community? How would you decompose it to find the area? Can you think of another reason that it would be helpful to decompose these figures in addition to making it easier to find the area of the figure? Before participating in the discussion, please review the discussion guidelines and grading rubric used to evaluate your participation.
helpppppppppppppppppppppppppppppppppp
2) two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and two vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of 29.00
Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write and solve a system of equations to find the price of each type of arrangement. SHOW ALL WORK!
One card is drawn from a well shuffled deck of 52 cards find the probability of getting a red 10
A nontoxic furniture polish can be made by combining vinegar and olive oil. the amount of oil should be five times the amount of vinegar. how much of each ingredient is needed in order to make 39 oz of furniture polish?
Final answer:
To make 39 oz of non-toxic furniture polish with the ratio of olive oil being five times the amount of vinegar, 6.5 oz of vinegar and 32.5 oz of olive oil are needed.
Explanation:
We know the oil to vinegar ratio is 5:1.
Let x be the amount of vinegar: We can use any variable to represent the unknown amount.
Set up the equation: Since the total volume is 39 oz and the ratio is 5:1, we have the equation: x (vinegar) + 5x (olive oil) = 39 oz.
Combine like terms: 6x = 39 oz.
Solve for x (vinegar): x = 39 oz / 6 = 6.50 oz.
Calculate the olive oil amount: Olive oil = 5 × vinegar = 5 × 6.50 oz = 32.50 oz.
Therefore, you'll need 6.50 oz of vinegar and 32.50 oz of olive oil to make 39 oz of furniture polish.
Remember to always test the polish on a small inconspicuous area of the furniture before applying it to the entire surface. And, for best results, use a clean, soft cloth to apply the polish and buff it to a shine.
How do you solve this?
a. The figure at the right shows a long rectangular strip of paper, one corner of which has been folded over to meet the opposite edge, thereby creating a 30-degree angle. Given the width of the strip is 12 inches, find the length of the crease.
b. Instead of a 30-degree angle, suppose that the angle has an unspecified size t. Use trigonometry to find the length of the crease, expressed in terms of t.
c. Find the approximate value of t that makes the crease as short as it can be. Restrict your attention to values of t that are less than 45 degrees. Explain your method.
What’s the answer ???
(ONLY ANSWER IF YOU KNOW)
I rly need help pls help me
If the lengths of two sides of an isosceles triangle are 10 and 4, respectively, what must be the length of the third side of the triangle?
How do you know if it's 10 or if it's 4?
Elliot has deposited $723 in a savings account that earns interest at a rate of 2.9% compounded twice a year. What will the account balance be in 23 years? (2 points)
Select one:
a. $826.02
b. $743.97
c. $1,401.95
d. $2,096.70
A convex, 11 sided polygon can have at most how many obtuse interior angles?
Answer:
11
Step-by-step explanation:
What is the measure of angle B in the triangle?
m∠B= [???]
A triangle labeled ABC with angle A: 120, angle B: x [unknown] and angle C as ( x+16).
What is the value of X (aka angle B.)
Using the image, explain which angles are angles of elevation and which are angles of depression. Name all the angles that apply.
Medal
The table below shows the distance y, in miles, traveled by a toy car in x minutes:
Time (x)
(minutes)
10 20 30 40
Distance (y)
(miles)
4 8 12 15
Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car.
[Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02]
Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent?
Given: Quadrilateral ABCD is inscribed in circle O.
Prove: m∠A + m∠C = 180°
Drag an expression or phrase to each box to complete the proof.
Statements → Reasons
1. ___________ → Given
2. mBCD = 2(m∠A) → ________
3. mDAB = 2(m∠C) → Inscribed Angle Theorem
4. _________ → The sum of arcs that make a circle is 360°.
5. 2(m∠A) + 2(m∠C) = 360° → _________
6. m∠A + m∠C = 180° → Division Property of Equality
Answer Choices:
Substitution Property
Inscribed Angle Theorem
Central Angle Theorem
mBCD + mDAB = 360°
mBCD = mDAB
Quadrilateral ABCD is inscribed in circle O.
I'm guessing:
1. Quadrilateral ABCD is inscribed in circle O.
4. mBCD + mDAB = 360°
5. Inscribed Angle Theorem
I'm not sure about 5 or 2.
Thanks.
Answer:
I took the test :) have a great day!
Step-by-step explanation:
This table shows the weekly rainfall, in inches, for two cities for ten weeks.
City A 0.2 0 1.5 1.3 2.5 3 0.4 0.3 0.2 1
City B 0 0 0.4 0.2 0.3 1 1 1 0.1 0.1
Which conclusion can be drawn from the data?
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
The range between the maximum and minimum values for City B is greater than the range between the maximum and minimum values for City A.
For the ten weeks, City A received less rainfall, on average, than City B
The median for City A is less than the median for City B. pls help me
Answer: A. During the 10 wk period, the rainfall amount recorded most often for City B was 1 in
Step-by-step explanation: k12 test unit 5.10
Based on the graph below, what is the solution of the equation f(x) = g(x)? graph of function f of x equals negative x plus 0.5 and graph of function g of x equals x squared plus 3 multiplied by x minus 4
Convert the equation to the standard form for a hyperbola 4x^2-25y^2-8x+50y-121=0
What is the sum or difference?
1. 2x^4 - 8x^4
(A). -6x^8
(B). -6x^4
(C). -16x^4
(D). -16x^8
What is the sum or difference?
2. 6y^5 - 9y^5
(A). -3y^10
(B). 15y^5
(C). -54y^5
(D). -3y^5
3. Write the Polynomial in standard form. Then name the Polynomial based on its degree and number of terms.
6 - 12x + 13x^2 - 4x^2
(A). 9x^2 - 12x; quadratic binomial
(B). 9x^2 - 12x + 6; quadratic trinomial
(C). -3x^2 + 6; quadratic binomial
(D). 9x^2 - 12x - 6; cubic trinomial
4. A biologist studied the populations of common guppies and Endler's guppies over a 6-year period. The biologist modeled the populations, in ten of thousands, with the following polynomials where x is time, in years.
Common guppies: 3.1x^2 + 6x + 0.3
Endler's guppies: 4.2x^2 - 5.2x + 1
What polynomial models the total number of common and Endler's guppies?
(A). 7.3x^2 + 0.8x + 0.7
(B). 7.3x^2 - 0.8x + 1.3
(C). 7.3x^2 + 0.8x + 1.3
(D). 7.3x^2 + 0.8x - 1.3
5. A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. Once the fountain is built, what will be the area of the remaining yard?
(A). 230πx^2
(B). 230x^2
(C). 266x^2 - 6πx^2
(D). 2x^2(133 - 18π)
6. A sports team is building a new stadium on a rectangular lot of land. If the lot measures 6x by 10x and the sports field will be 1x by 4x, how much of the lot will be left over to build bleachers on?
(A). 56x^2
(B). 64x^2
(C). 30x^2
(D). 60x^2
Can someone please help!! This is lesson 9, Unit 3, Polynomials and Factoring!!
Answer:1. B
Step-by-step explanation:
How to solve: \frac{1}{y^{\frac{2}{5}}} ?
1. London Heathrow airport sees on average 191,200 passengers a day. How many passengers is this per minute?
Simplify the expression square root -1/(3+8i)-(2+5i)
a. 3+i/10.
b.-3+i.
c.3-I/10.
d.-3-i/10