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RideAnS [48]
3 years ago
12

Alexia used three teams of paper in her first semester of school. Each team has the same number of sheets. She used another 40 s

heets after that. Write an expression to represent the total number of sheets Alexa used
Mathematics
1 answer:
AysviL [449]3 years ago
6 0
3x + 40, where x is the amount of sheets in each team 
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What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?
Kryger [21]

Answer:

B) The maximum y-value of f(x) approaches 2

C) g(x) has the largest possible y-value

Step-by-step explanation:

f(x)=-5^x+2

f(x) is an exponential function.

Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞

Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→

Lim x→ -∞ f(x) = 2

Then the maximun y-value of f(x) approaches 2


g(x)=-5x^2+2

g(x) is a quadratic function. The graph is a parabola

g(x)=ax^2+bx+c

a=-5<0, the parabola opens downward and has a maximum value at

x=-b/(2a)

b=0

c=2

x=-0/2(-5)

x=0/10

x=0

The maximum value is at x=0:

g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2

The maximum value of g(x) is 2

7 0
3 years ago
A marble is selected at random from a jar containing 4 red marbles, 2 yellow marbles, and 3 green marbles.
s344n2d4d5 [400]

Answer:

4 / 9  probability of getting a red

Step-by-step explanation:

How many marbles are there total?

4 red + 2 yellow + 3 green = 9 marbles total

P( red marble) = 4 red / 9 total = 4/9

7 0
3 years ago
Read 2 more answers
During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s fi
dlinn [17]

Answer:

60 yards back

Step-by-step explanation:Mutiply 4 and 15

5 0
3 years ago
A piece of sheet metal is 24 inches wide the cross section is 54 what is the depth
Leni [432]

Answer:

Width = 18, height = 3

Or

Width = 6, height = 9

Step-by-step explanation:

Complete question

( A piece of sheet metal 24 inches wide is bent to form a gutter as shown in the picture below, if the cross sectional area is 54 square inches, find the depth of the gutter).

X = width, Y = height

X - 2y = 24........ equation i

X = 24 - 2y.......... equation ii

Area = xy

54 = xy........ equation iii

Put equation ii into equation iii

54 = (24 - 2y) * y

54 = 24y - 2y²

2y² - 24y + 54 = 0........ equation iv

Solving equation iv using quadratic methods,

Factors = (y-3), (y-9)

(Y-3)(y-9) = 0

y = 3 or y = 9

Substitute y = 3 or y = 9 into equation ii

X = 24 -2(3) = 18 or x = 24 - 2(9) = 6

If Width = 18, height = 3

Or

Width = 6, height = 9

3 0
3 years ago
2.
viva [34]

Answer:

It's C.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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