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stealth61 [152]
3 years ago
10

Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the

Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation y = -x^{2} + 5\cdot x + 24 is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (\Delta x) and the height of the archway at its highest point (\Delta y) are, respectively:

\Delta x = 8 - (-3)

\Delta x = 11

\Delta y = 30.25

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

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Badal has 120 cm 3 of water. He wants to pour it into a rectangular vase that is 4 cm high, 4 cm wide, and 5 cm long. Can he pou
Anestetic [448]

Answer:

volume= 4×4×5

80

Therefore he can't pour all the water into the vase because the amount of water is 120cm³ whilst the vase is 80. An amount of water as that can't fill the vase

6 0
3 years ago
What does y=2x+3 equal?
posledela
Y = X times 2 + 3 if that's what you're asking so y = 5x
Explanation:
2+3=5 so 5x bc x isn't a number
4 0
3 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
lianna [129]
There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0
3 years ago
Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, a
Talja [164]

Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

4 0
2 years ago
Please help me <br>Due in an hour ​
vladimir1956 [14]
131.88 or jus do radius times 2 so 21+ 21 = 42.

42 x pi(3.14) = 131.88
3 0
2 years ago
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