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3 years ago

Divide 2x^4+4x^3-18x^2-4x+16 by x+4 using long division

1 answer:

5 0

I recommend looking up synthetic division or how to do long division because it is hard to demonstrate it just by describing it. Regardless the answer is

2x^3 - 4x^2 - 2x + 4

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What is HL??? HL=__ Image Below

Advocard [28]

Consider a trapezoid GJKF with:

GH=JH (hypothesis)

FL=KL (hypothesis)

so HL is the median of trapezoid GJKF

so: HL=1/2(2.5+1.2)=1.85

4 0

2 years ago

The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given

Rom4ik [11]

$f'(x)\ge0$ for all $x$ in [-3, 0], so $f(x)$ is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at $x=-3$ .

From the plot, it's clear that on [-3, 0] we have $f'(x)=-x$ . So

$f(x)=\displaystyle\int(-x)\,\mathrm dx=-\dfrac{x^2}2+C$

for some constant $C$ . Given that $f(0)=7$ , we find that

$7=-\dfrac{0^2}2+C\implies C=7$

so that on [-3, 0] we have

$f(x)=-\dfrac{x^2}2+7$

and

$f(-3)=\dfrac52=2.5$

5 0

4 years ago

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las t

Drupady [299]

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

==================

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 25000
0.1x + 0.12y + 0.16z = 3200
0.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 3200
0.32z = 3200
z = 3200/0.32
z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
x + 1.2y - (x + y) = 16000 - 15000
0.2y = 1000
y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

4 0

3 years ago

Please solve and receive brain list

emmainna [20.7K]

54 216

First look at the difference of the items sold between the 2 people. Clearly Lizzie sold 9 more boxes of peaches and earned 162 more dollars. We can solve and get that each box of peaches are worth 18 dollars. Then use what we found out --> 4 boxes of apples+1 boxes of peaches = 54 dollars. so 4 boxes of apples are worth 54-18=36 dollars. and thus each box of apples are worth 9 dollars.

Answer: each box of apples are wroth 9 dollars and each box of peaches are wroth 18 dollars. Done!

6 0

3 years ago

Help me fast please find the area???

goldfiish [28.3K]

1485 this is wrong I think

4 0

3 years ago