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3 years ago

What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:

Step-by-step explanation:

(u-3)2+2(u-3)-8=0

2u-6+2u-6-8=0

4u-20=0

4u=20

u=5

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A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what w

EleoNora [17]

Answer: 300,000

Step-by-step explanation:

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2 years ago

A golden rectangle is a rectangle whose length is approximately 1.6 times its width.the early greeks thought that a rectangle wi

Scrat [10]

Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet

The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:

P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39

If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet

L=1.6W=1.6(15)→L=24 feet

Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>

4 0

2 years ago

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag

8090 [49]

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

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2 years ago

Five friends are sharing 4 fruit bars. Each friend gets the same amount.

kkurt [141]

Answer:

4/5 of a fruit bar

Step-by-step explanation:

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2 years ago

Someone plz help asap

zheka24 [161]

Answer:

As the slope is -2, so the rate of change of the function is:

rate of change of function = -2

Step-by-step explanation:

The slope is basically the rate of change of a function.

Let us take the two points from the graph

(0, 5)

(4, -3)

Taking the slope between two points to determine the rate of change of a function

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:5\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)$

$m=-2$

As the slope is -2, so the rate of change of the function is:

rate of change of function = -2

5 0

2 years ago