Order this set of integers from greatest to least:

Please answer ASAP I will give you brainliest

RideAnS [48]

Answer:

a = 11

b = 6

Step-by-step explanation:

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3} )}{(7 + 4 \sqrt{3}) } \times \frac{(7 - 4 \sqrt{3})}{(7 - 4 \sqrt{3})} = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} } a - b \sqrt{3} \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 }{49 - 48} = a - b \sqrt{3} \\ \\ \frac{11 - 6 \sqrt{3}}{1} = a - b \sqrt{3} \\ \\ 11 - 6 \sqrt{3} = a - b \sqrt{3} \\ \\ equating \: like \: terms \: on \: both \: \\ sides, \: we \: find : \\ \\ a = 11 \\ \\ b = 6$

8 0

3 years ago

How many ounces of a silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 3

Pepsi [2]

Answer:

135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.

Step-by-step explanation:

Given:

A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.

Now, to find the ounces of silver alloy.

Let the silver costs $5.50 per ounce be $x.$

And the silver costs $7.00 per ounce be $y.$

So, the total ounce make a new alloy:

$x+y=30\\y=30-x$ ....(1)

Now, the total costs of silver alloy:

$5.50x+7y=6.4$

Putting the value of $y$ from equation (1) in the place of $y$ :

$5.50x+7(30-x)=6.4$

$5.50x+210-7x=6.4$

$-1.5x+210=6.4$

Subtracting both sides by 210 we get:

$-1.5x=-203.6$

Dividing both sides by -1.5 we get:

$x=135.73$

Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.

7 0

3 years ago

Choose the equation that represents the graph below:

Zolol [24]

Y = x + 3 is the answer

the y-intercept is 3, so the answer should have a "+ 3" in it

when you are trying to determine the gradient (the x), you can use two methods

first method:
picture/sketch the line. If the line is going upwards (from left to right), it's positive. If the line is going downwards (from left to right), it's negative. However, this method only works for this question, you should try using the second method more

second method:
use the formula: (y - y) / (x - x)
So, you use the y from one of the brackets and subtract the y from the other bracket. Then, you put it over the x ,from the same bracket as the first y, and subtract the x from the second bracket. If you are confused, look at the picture. (Sorry for the messy explanation)

7 0

3 years ago

Read 2 more answers

Point that satisfies

Kobotan [32]

Answer: D. (4,4)

Step-by-step explanation:

1. You have the following expression:

$y\leq x^{2}-3x+2$

3. To find the point that satifies the expression shown above, you only need to substitute each one of them into the expression, as you can see below:

A. $3\leq 3^{2}-3(3)+2\\3\leq 2$ (This is not true)