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Cerrena [4.2K]
3 years ago
9

Which ordered pair is a solution to the system of inequalities? y< 3x y< 5​

Mathematics
2 answers:
tatyana61 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Split it into two:

Y<3x

Y<5

X = 1

Y = 3

(1,3)

X = 2

Y = 6

(2, 6)

Plot the line up to y = 4.999999999999999999999 and not higher.

jeka943 years ago
4 0

Answer:

Plot the line up to y = 4.999999999999999999999 and not higher

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Find the equation of the linear function h that has h(12)=-7 and that is perpendicular to q(a)=1/2a+38.. I don’t understand how
Effectus [21]

Step-by-step explanation:

q(a) = ½a + 38

The slope of q is ½.  So the perpendicular slope is -1/½ = -2.

Write h(x) in point-slope form:

h − (-7) = -2 (x − 12)

h + 7 = -2 (x − 12)

Simplify to get slope-intercept form.

h + 7 = -2x + 24

h = -2x + 17

7 0
3 years ago
Could someone please help me with this question? 15 points.
polet [3.4K]
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
      x = 0 →f(x) =2 (intercept y-axis)
      x = -2→f(x) = 0 (intercept x-axis)
      x = -3→f(x) = 1 (don't forget this is in absolute numbers)
      x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph

1b) Translation: x to shift (-3) units and y remains the same, then
      f(x-3) = I x - 3 + 2 I = I x-1 I
     the V graph will shift one unit to the right, keeping the same y. Proof:
     f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
8 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
Help me with IXL please
OlgaM077 [116]
X would equal 1.322. Hope this helps!
8 0
2 years ago
When Groundhog Day is
Scilla [17]
<h3>Answer:  175,000 dollars</h3>

====================================================

Work Shown:

2/3 of 15,000 = (2/3)*15000 = 10,000

This means 10,000 people take the shuttle bus to the park. If each person pays $5 to take the bus, then the city earns 5*10,000 = 50,000 dollar through this option.

The rest pay for parking, so 15,000-10,000 = 5,000 people pay for parking. At $25 each, this amounts to 25*5,000 = 125,000 dollars earned through this option.

Overall, the city earns a total of 50,000+125,000 = 175,000 dollars

Side note: this assumes that the remaining 5,000 people all take separate cars and no single car has more than one person. This is very unrealistic as there are likely to be families or carpools of some kind. So in reality, the answer shown above is an upper estimate of the total revenue.

5 0
3 years ago
Read 2 more answers
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