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VLD [36.1K]
3 years ago
5

A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

closed interval on x=3 and open at x=5

for all values between these numbers, y=3

so [3,5)

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A parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10.
Hunter-Best [27]

Answer:

Money raised($)= 6n-50

Step-by-step explanation:

they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.

If their are no number of hats

Cost = 50+4n

Money gotten from the n number of hats= 10(n)

If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost

Money raised = money from sales- cost

Money raised= 10n -4n-50

Money raised($)= 6n-50

8 0
3 years ago
Look at the question below
ss7ja [257]

Answer:

y=6x is the answer

Step-by-step explanation:

6 0
3 years ago
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Admission to the movies is $10 for adults and $7 for children. Find the
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Answer:

$96

Step-by-step explanation:

4 times 10 is 40. 7 times 8 is 56. 40 + 56 = 96

6 0
2 years ago
3) -x + 15 = x + 6 - 5​
Vikentia [17]

Answer: 17

but before you put that was the '3' included?

Step-by-step explanation:

3 0
3 years ago
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
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