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Olenka [21]
3 years ago
10

A teacher wants to buy supplies for two of their students, Susie and John. This teacher wants to spend at least $5 on each stude

nt. This teacher also must keep the total of the supplies under $30. What is a system of inequalities that represents this situation? A. x + y ≥ 30 x ≥ 5 y < 5
B. x + y < 30 x < 5 y < 5
C. x + y ≥ 30 x ≥ 5 y ≥ 5
D. x + y < 30 x ≥ 5 y ≥ 5
Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0
X and y represent the two students.

Teacher wants to spend at least $5 in each of x and y. That means x or y could be either equal to 5 or higher than 5.
x ≥ 5
y ≥ 5

Teacher only spends under $30. That means the sum of x and y couldn't be equal to higher than 30. It should be lower than 30.
x + y < 30

The correct answer is option D
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Pythagorean Theorem Word
diamong [38]

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles

The  straight  line distance from the starting point is 40 miles.

7 0
3 years ago
Precalc help needed, find g ° f!
Nezavi [6.7K]

Answer:

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Step-by-step explanation:

g o f = g [ f(x) ]

This means replace the x of g(x) with f(x):

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As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)

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8 0
2 years ago
Which statement best describes f(x) = -2 times the square root of x-7+1
BigorU [14]

Answer:

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5 0
3 years ago
Is 8 by it's self and flip on it's side infinite lol
lozanna [386]
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3 0
3 years ago
Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x
mote1985 [20]
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4x(x - 5)(x + 2) = 0

4x = 0  so x = 0

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x+2 = 0 so x = -2

zeros are  -2, 0 and 5
3 0
3 years ago
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