The axis of symmetry of a parabola is x=4.6. It crosses the x -axis at (0.6,0). What is the x -coordinate of the other point where the parabola crosses the x -axis?

Answers

Answer 1

Answer: keeping in mind that the vertex of a parabola is halfway between the x-intercepts, if a point is a 0.6, and the vertex is at 4.6, that's just 4 units over to the right, thus the other point will have to be 4 units further, check the picture below.

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How do the mouth and stomach play a role in mechanical digestion

Answers

the mouth breaks down food by chewing it and the saliva mixes it by making the carbohydrates into sugar. the stomach breaks down the food by breaking down bacteria and acids

What is the slope of the line that passes through the points (4,-3) and (8,-3)

Answers

the slope is 0.

the line is y = -3

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

Observe the variableterms from the given statement
Add/subtract required terms according to the word's 'total or difference' given in the statements
Multiply/divide required terms according to the words 'more or less given the statements
Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12 ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correctset of equations for the given system.

Learn more about writing equations from words here:

brainly.com/question/11567221

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I would go with the second answer

A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles?

Answers

so smalest has radius of 0.5 and heith of 3
multiply pi times 0.5^2 times 3=2.35619
so smallest is 2.36 in volume
I am not sure abouot the scale factors part

Answer:

27 pi in³

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

Write
45%
as a fraction in simplest form.

Answers

9/20 because you would get it as a decimal first and it would be .45 then put 100 at the end and then reduce and you end up with 9/20

As a fraction it would be 45/100 and in simplest form it is 9/20

You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.What is the probability of:

selecting a penny?

selecting a nickel?

not selecting a dime?

selecting a dime or a quarter?