-1/2=y-1 solve equation

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

-1/2=y-1
-0.5+1=y
y=0.5, or 1/2

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Y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.

Mamont248 [21]

Answer:

$a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\$

Step-by-step explanation:

$y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\$

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3 years ago

2) Abby made 5 1/2 cups of banana pudding. She served 7/8 cup of the pudding to her kids for dessert.

frez [133]

Answer:

37/8

Step-by-step explanation:

we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.

5 1/2 = 11/10

in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)

11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer

11/2 - 1 = 9/2

we will now us the cup we subtracted from that and "give it to the kids"

1 = 8/8

8/8 - 7/8 = 1/8

so we have 1/8 leftover from that cup, so we can add that back

since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:

9/2 = 36/8

1/8 + 36/8 = 37/8

so since 37/8 cannot be simplified anymore, the answer is

37/8

3 0