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3 years ago

11

Mickey buys a shirt for $12 and a pair of shoes for $25. The sales tax rate is 9.25% how much sales tax must he pay? what is the

total amount spent?

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

$12 + $25 = $37

9.25% of 37 is 3.4225 (rounds to 3.42)

$37 + $3.42 = $40.42

Sales tax: $3.42

Total amount spent: $40.42

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If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .

ollegr [7]

Answer:

$2y^2-7y+6=0$

Step-by-step explanation:

We are given that $\alpha$ and $\beta$ are the zeroes of the polynomial $6y^2-7y+2$

$y^2-\frac{7}{6}y+\frac{1}{3}$

We have to find a quadratic polynomial whose zeroes are $1/\alpha$ and $1/\beta$ .

General quadratic equation

$x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes$

We get

$\alpha+\beta=\frac{7}{6}$

$\alpha \beta=\frac{1}{3}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}$

$\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2$

$\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}$

$\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3$

Substitute the values

$y^2-(7/2)y+3=0$

$2y^2-7y+6=0$

Hence, the quadratic polynomial whose zeroes are $1/\alpha$ and $1/\beta$ is given by

$2y^2-7y+6=0$

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3 years ago

Help meh plz I just need answer question in pic

Yanka [14]

Answer:

A

Step-by-step explanation:

At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.

Now fill in x=-2 in both remaining answers and see what happens.

For A: y = -2(-2 - 1)² + 3 = -15

For B: y = (-2 - 1)² + 3 = 12

That eliminates B and leaves A.

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3 years ago

First answer gets a Thanks

fiasKO [112]

The appropriate choice is ...
B: y = 3.5x

_____
The number of teaspoons of sugar (y) is 3.5 times the number of tarts (x).

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3 years ago

The dimensions of a cylindrical water tank are shown below.

riadik2000 [5.3K]

Umm honestly it would be 58,320 yd

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3 years ago

6+y is greater than or equal to 9. what is y

Rufina [12.5K]

6 + y ≥ 9

We are essentially trying to get y by itself, so that we could solve for y

So, subtract 6 from both sides.

y ≥ 9 - 6

Simplify.

y ≥ 3

~Hope I helped!~

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3 years ago