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Natali5045456 [20]
3 years ago
7

The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x repre

sents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

B

Step-by-step explanation:

Might be wrong

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How many squares can be made with 40 matchsticks
BlackZzzverrR [31]

if all the squares are the same size then 10 can be made because squares have 4 sides and 40/4= 10
7 0
4 years ago
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
how much 45% acid solution should be mixed with a 30% acid solution to make 450 ml of a 40% acid solution?
FromTheMoon [43]
We do as follows:

let x = amount of 45% solution
    y = amount of 30% solution

overall balance =>    x + y = 450
acid balance     =>    .45x + .30y = .40(450)

Solving simultaneously, we will have:

x = 300 mL
y = 150 mL

This is assuming that partial molar properties does not affect the volume greatly. Hope this answers the question. Have a nice day.
7 0
3 years ago
A flower vendor sells roses for 50 cents each. How much does she pay per flower is she makes $6.00 on every twenty dollars worth
Lelu [443]

One rose is 50 cents, so 2 roses cost $1 ( 50 cents x 2).

2 roses per dollar x 20 dollars = 40 total roses sold.


When they sell $20 dollars they make $6, so that means they pay 20-6 = $14 dollars for the 40 roses.


$14 / 40 roses = 0.35 per rose.

She pays 35 cents per rose.

3 0
3 years ago
Li graphed the equation y=2x+3. Which table of values did Li use to create her graph?
Natali5045456 [20]

Answer:

See attached picture.

Step-by-step explanation:

To graph the line, start at (0,-3) since b=

-3 in the equation. This is the y-intercept.

Mark this point. From this point, move

down 2 units and to the right 1 unit. Mark

this new point at (1,-1). Connect the points

with a line. See attached picture.

8 0
2 years ago
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