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natta225 [31]
4 years ago
5

Express 2x^2 + 8x + 3 in the form 2(x + p)^2+q

Mathematics
1 answer:
babunello [35]4 years ago
7 0
2(x+p)^2+q=2x^2+4px+(2p^2+q), compare with ..... 2x^2 + 8x+3 p=2,W=3-2p^2=-5, so the result is 2(x+2)^2-5
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Find the area of triangle GHJ
iogann1982 [59]

Answer:

The area of this triangle would be 24.

Step-by-step explanation:

In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.

6 - -2 = 8 = base

Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.

5 - -1 = 6 = height

Now that we have those two distances, we can just use the triangle formula.

A = 1/2bh

A = 1/2(8)(6)

A = 24

5 0
4 years ago
Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What
jarptica [38.1K]

Answer:

25%

Step-by-step explanation:

An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.

So, 18/24 = 0.75 (aka 75%), and  1 - 0.75 = 0.25 (aka 25%)

7 0
3 years ago
Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0
3 years ago
F(x) = 17 - 2x<br> Find f(a + 7)
Fudgin [204]

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

4 0
3 years ago
Pre-algebra<br> Due urgently<br> Tysm
leva [86]

Answer:

y = 4 / x = 2

Step-by-step explanation:

Insert x equation for variable x

y = 2(-y+6)

simplify

y= -2y + 12

add 2y to both sides

3y= 12

divide both sides by 3

y = 4

Insert 4 as y in y =2x

4=2x

divide both sides by 2

x=2

4 0
2 years ago
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