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3 years ago

How many 1/2 cup servings are in a 16 cup pitcher of juice?

Mathematics

1 answer:

katrin [286]3 years ago

8 0

32 1/2s is the answer to Dubble check Draw a picture

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

5 0

3 years ago

What is the slope - intercept form of the equation if the line through the points (3,-1) and (-1,-5)

ikadub [295]

Answer:

Slope - intercept form:

B) y= x -4

Step-by-step explanation:

(3,-1) and (-1,-5)

Slope = (-5 + 1)/(-1 - 3)

Slope = -4 / -4

Slope = 1

Point slope form:

y + 1 = 1 (x - 3)

y +1 = x - 3

y = x - 4 <------------------slope - intercept form

7 0

3 years ago

Read 2 more answers

Add 7 plus 8, then add a to the result. Write an expression for the sequence of operations described.

Ipatiy [6.2K]

Answer:

(7 + 8) + a is your answer

4 0

2 years ago

Math pls help!! larger number? smaller number?

Georgia [21]

Answer:

larger number = 35

smaller number = 26

Step-by-step explanation:

let larger number be x

and another ( x-9 )

so, x+x-9=61

2x = 70

x = 35

smaller number = 35 - 9

= 26

5 0

2 years ago

What statement best describes the function?

xxMikexx [17]

Answer:

Step-by-step explanation:

3 0

2 years ago