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damaskus [11]
3 years ago
9

The _____ in the hundreds place has a value ____ times as great as the _____ in the _____ place. 440

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

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The IQR is a better measure of spread for movies than it is for basketball games

Step-by-step explanation:

The Basket ball games has no outliers so we would use standard deviation as the measure of spread.  The movies has an outlier so we would use IQR as the measure of spread.

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Solve the system of equations by substitution. <br> x+y=18<br> y=8x
Naddika [18.5K]

Answer:

x=2, y=16

Step-by-step explanation:

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Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


3 0
3 years ago
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