1answer.
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
vova2212 [387]
2 years ago
5

Adrianna is attempting to write an inequality from a graph. She knows that the dash boundary line passes through the points (27,

10) and (-45,-54). She also notices that the point (0,0) is a solution to this inequality. If Adrianna must write the inequality in slope intercept from, what will she write?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

we know the line passes through those points, so let's find the EQUATion of it firstly.


\bf (\stackrel{x_1}{27}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-45}~,~\stackrel{y_2}{-54}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-54-10}{-45-27}\implies \cfrac{-64}{-72}\implies \cfrac{8}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{8}{9}(x-27) \\\\\\ y-10=\cfrac{8}{9}x-24\implies y=\cfrac{8}{9}x-14


so, that's its EQUATion, now, we know the (0,0) is a solution of this inequality, namely the (0,0) point lies in the "true region" or will be the "shaded region" of the inequality, let's plug those values,


\bf y=\cfrac{8}{9}x-14\implies \stackrel{\textit{using x = 0, y = 0}}{0=\cfrac{8}{9}(0)-14}\implies 0=-14


well, clearly  0 is not equals to -14....  we know 0 is greater, recall for the negative values, the farther from zero the smaller.

we also know that the line is dashed, meaning the borderline values are not included, so is either a > or <, thus since 0 > -14, then

\bf y>\cfrac{8}{9}x-14

You might be interested in
3(3f-2)&gt;5f-3 solve the inequality
qwelly [4]

open () to make 9f-6>5f-3

minus 5f to make 4f-6>-3

add 6 to make 4f>3 so f >3/4

5 0
3 years ago
Read 2 more answers
y= -16t^2 +400, where t represents the number after the camera is dropped. How long will it take before Kay sees the splash from
Sholpan [36]
Your problem statement needs a bit of correction:

"<span>Y= -16t^2 +400, where t represents the number OF SECONDS after the camera is dropped. How long will it BE before Kay sees the splash from the camera hitting the water?"

Set y = -16t^2 + 400 = 0.  We assume that 400 and 0 represent feet (English system).

Then 16t^2 = 400, and so 25 = t^2.  Only the positive square root makes sense here, and that root is 5 (seconds).</span>
3 0
3 years ago
Read 2 more answers
What is the meaning of a statistic
Anika [276]

Answer:

a fact or piece of data from a study of a large quantity of numerical data.

7 0
3 years ago
Is this answer correct?
hodyreva [135]

Answer:

No

Step-by-step explanation:

How to solve :

(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)

Factor:

a^2+8a+12 = (a+6)(a+2)

a^2-2a-48 = (a-8)(a+6)

a^2+4a-32 = (a+8)(a-4)

simplify a+6, and a-4

you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)

8 0
3 years ago
How do I solve this?: The times of all 15 year olds who run a certain race are approximately normally distributed with a given m
Effectus [21]
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)

The formula for z-score:
z = (X-μ) ÷ σ

Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2

Substitute these value into the formula

z-score = (14.4 - 18) ÷ 1..2 = -3

We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3)  but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)

From the table
P(Z < -3) = 0.0013

The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%


5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following illustrates the truth value of the following mathematical statements? 6 + 3 = 9, and 5 • 5 = 20
    6·1 answer
  • A linear function is given by formula y= 1 2 x−2. d State the slope of the line.
    8·1 answer
  • A number with one or more digits to the right of the decimal point is called a
    9·2 answers
  • Andrew solves 6x2=12x by using the quadratic formula. What values does he use for a, b, and c? a = (Put the number only in the b
    9·1 answer
  • the area of the surface of the swimming pool is 210 feet . what is the length d of the deep end ( in feets )?
    13·1 answer
  • X²-4<br> this is the difference of square <br> help please
    11·1 answer
  • Please help-help-help
    7·1 answer
  • Solve for x<br> 8x = y<br> PLEASE HELPPPPPP
    9·2 answers
  • Plz Help me !! <br><br>Ques refer to the above attachment ?! <br><br>Solve ... ​
    8·1 answer
  • 3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!