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LenaWriter [7]
3 years ago
15

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the n

umber. Also, If the tens digit is x, then the equation is: ___?
Mathematics
1 answer:
Komok [63]3 years ago
5 0
The number is 32
X-9=23
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Equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
Alina [70]

y = -\frac{1}{9}(x - 1)^2 - 6

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

y = a(x - h)^2 + k

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

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Also, since the parabola passes through (4, -7), we can use this to find the value for a:

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y = -\frac{1}{9}(x - 1)^2 - 6

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2 years ago
Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas
VladimirAG [237]

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

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How is 0.0000267 written in scientific notation
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Answer: 6.7*10^-5

Step-by-step explanation:

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