answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saul85
1 month ago
5

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

e left of the line is shaded. Which linear inequality is represented by the graph? y < Two-thirdsx + 3 y > Three-halvesx + 3 y > Two-thirdsx + 3 y < Three-halvesx + 3

Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
8 0

Answer:

y>\frac{2}{3}x+3

Step-by-step explanation:

Step 1

Calculate the slope of the dashed line

The slope between two points is computed with the formula:

m=\frac{y2-y1}{x2-x1}

We consider

(-3,1) and (0,3)

and substitute into it:

m=\frac{3-1}{0+3}

m=\frac{2}{3}

Step 2

Determine the equation of the dashed line in slope-intercept form:

y=mx+b

The equation we established is:

m=\frac{2}{3}

b=3 ---> associated problem

Substituting yields:

y=\frac{2}{3}x+3

Step 3

Establish the inequality corresponding to the graph

Given that it is represented by a dashed line, the area to the left of this line is shaded.

Thus,

y>\frac{2}{3}x+3

Refer to the attached diagram for enhanced understanding of the problem.

AnnZ [12.3K]1 month ago
5 0

Simplified Answer:

the correct answer is C.

y > 2/3x + 3

Step-by-step explanation:

The individual in the previous response has outlined how to arrive at this conclusion.

You might be interested in
The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1
zzz [12365]
Thus, the most suitable answer is b..42.Step-by-step reasoning:Prior concepts include an explanation of Analysis of variance (ANOVA), which is employed to assess variances among group averages within a sample. The sum of squares constitutes the total squared variation where variation is defined as the disparity between each value and the grand mean. The correlation coefficient evaluates the strength of the correlation between two variable movements, noted as r, with values bounded between -1 and 1. In conducting multiple regression analysis, we seek to ascertain the relationship among multiple independent (predictor) variables and a dependent (criterion) variable.Solution:Assuming the presence of k independent variables and j=1,\dots,j individuals, we can articulate various formulas of variation: We also possess a characteristic identified as SST=SS_{regression}+SS_{error}. The model's degrees of freedom in this circumstance is represented by df_{model}=df_{regression}=k=2, with k =2 indicative of the variable count. The error's degrees of freedom is articulated by df_{error}=N-k-1=30-2-1=27. The coefficient of determination in multiple regression is illustrated as: thus, the answer is b..42.
4 0
11 days ago
May has 4 /15 meters of lace while Lovie has 2 /7 meter longer than May's lace. how many meters of lace do girls have together​
Zina [12379]

Answer:

86/105

Step-by-step explanation:

May possesses 4/15 meters of lace

Lovie has lace that exceeds May's by 2/7 meters

4/15 + 2/7

= 58/105

Consequently, the total amount of lace they have is calculated as

= 4/15 + 58/105

= 86/105

Thus, together they own 86/105 meters of lace

8 0
1 month ago
On a vacation in Puerto Rico, Rose jumped off a cliff into a river in EL Yunque Forest Reserve. Her height as a function of time
Leona [12618]
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
4 0
21 day ago
Read 2 more answers
Josh needs to cover a rectangular opening of 12 inches × 18 inches with plywood. how much will he need, in square feet, if he wa
tester [12383]

We understand that

1 foot corresponds to 12 inches.


Step 1

Dimensions of the plywood needed are

(12+3+3) x (18+3+3)------> 18 inches x 24 inches.


Step 2

Convert inches into feet:

18 in-------> 18/12=1.5 ft.

24 in------> 24/12=2 ft.


Step 3

To calculate the area of plywood needed:

A=b*h------> 1.5*2------> A=3 ft².


The final result is

3 ft²

5 0
1 month ago
Use the information in the article and associated document about organic strawberry farming to answer the questions about sales
lawyer [12517]

Response: 27,576

16 acres

Detailed explanation:

9 0
1 month ago
Read 2 more answers
Other questions:
  • If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear
    11·2 answers
  • On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati
    7·2 answers
  • In a GP if T3 = 18 and T6 = 486 Find:- T10
    13·2 answers
  • Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time
    14·2 answers
  • Assemble the proof by dragging tiles to the statements and reasons columns.<br><br> PLEASE HELP
    9·2 answers
  • Which statement best describes the parties in this lease? Candace Pickles is the renter, Capital Rabbit Properties is the agent,
    6·1 answer
  • The formula for the area of a trapezoid is A = one-half (b Subscript 1 Baseline + b Subscript 2 Baseline) times h When this equa
    6·2 answers
  • A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
    13·2 answers
  • A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags
    5·1 answer
  • What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!