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
Nonamiya [84]
2 years ago
10

The graph shows the solution to a system of inequalities:

Mathematics
1 answer:
tangare [24]2 years ago
7 0

Answer:

Option A. 4x+3y\leq 12 and x\geq 0

Step-by-step explanation:

we know that

The solution of the first inequality is the shaded area below the solid line 4x+3y=12

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

4x+3y\leq 12

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

x\geq 0

You might be interested in
A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;
nevsk [136]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------

\bf f(x)= 4x^2  \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h
8 0
3 years ago
Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost ​$13.99. A poster and 12 comics cost ​
aliya0001 [1]

Answer:

Step-by-step explanation:

Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost ​$13.99. A poster and 12 comics cost ​$20.99. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar​ package, modeled by a linear function rule with initial value ​$. Use pencil and paper. Explain which store has the better deal. The linear function rule is y nothing.

8 0
2 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
marissa [1.9K]

Answer:

53°

Step-by-step explanation:

It is given that the total measurement of the two angles combined would equate to 116°.

It is also given that m∠WXY is 10° more then m∠ZXY.

Set the system of equation:

m∠1 + m∠2 = 116°

m∠1 = m∠2 + 10°

First, plug in "m∠2 + 10" for m∠1 in the first equation:

m∠1 + m∠2 = 116°

(m∠2 + 10) + m∠2 = 116°

Simplify. Combine like terms:

2(m∠2) + 10 = 116

Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

2(m∠2) + 10 (-10) = 116 (-10)

2(m∠2) = 116 - 10

2(m∠2) = 106

Next, divide 2 from both sides of the equation:

(2(m∠2))/2 = (106)/2

m∠2 = 106/2 = 53°

53° is your answer.

~

8 0
2 years ago
Read 2 more answers
You deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3
Elden [556K]
A year and a half or 18 months
4 0
3 years ago
Need someone to verify the answer for me so i can know if i get it right or not. thanks&lt;3
Monica [59]

Answer:

<h2>Right !!!</h2>

Step-by-step explanation:

I hope it's help u

5 0
2 years ago
Read 2 more answers
Other questions:
  • The quotient of n and 7 is 39
    13·1 answer
  • The answer asap plz
    7·2 answers
  • Three vertices of a square are (–1, 2), (2, 2), and (2, –1).
    6·2 answers
  • PLZ HELP!!!!!!!!!!!!!!!
    6·1 answer
  • A circle drawn on a coordinate plane has the equation x2+y2−6x+16y+50.4375=0 . Part A: What is the center of this circle? Expres
    13·1 answer
  • Seventy weather balloons were sent up. Twenty-eight were found. What percent wer ound? 17​
    14·1 answer
  • Solve by completing the square:<br> x^2 + 3x - 9 = 0
    10·2 answers
  • Solve 6(x+1)3−10=740
    15·1 answer
  • What is the square route of 48. Pls explain
    6·1 answer
  • 3x+30+x=10+2x+5x+2 <br> i need help fast
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!