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3 years ago

Over what interval is the graph f(x)=-(x+8)2 decreasing?

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

This downward-opening parabola has its vertex at x = -8, so the function is decreasing on the interval (-8, ∞).

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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression

Brut [27]

The area of rectangle with length l and width w is

$A=l\cdot w.$

If the length of rectangle is expressed as $l=3x^2 + 5x + 10$ and the width of rectangle is expressed as $w=x^2-3x-1$ , then the area of rectangle is

$A=(3x^2 + 5x + 10)(x^2-3x-1)=3x^4-4x^3-8x^2-35x-10.$

8 0

4 years ago

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Solve -2x+5y-9 when y=1

bija089 [108]

Hello there.

Solve -2x+5y-9 when y=

Just combine like terms
and you'll get

=−2x−3

5 0

4 years ago

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the lo

Brilliant_brown [7]

Answer:

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular) = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

$( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)$

Now,as k is the length of the side, so it cannot be negative.

⇒ k = 6.24 cm

Hence, the length of the longer leg is 6.24 cm.

6 0

3 years ago

Is 12a-a simplified?

7nadin3 [17]

12a−a

=12a−1a

=12a+−1a

=a+a+a+a+a+a+a+a+a+a+a+a+−a

=a+a+a+a+a+a+a+a+a+a+a

=11a

5 0

4 years ago

Help me on this math problem please!! DUE TONIGHT!! Write an equation!

schepotkina [342]

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

6 0

2 years ago

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