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3 years ago

H(x) = 2x-6 4x^2 +8 H(-1)=?

Mathematics

1 answer:

Mariulka [41]3 years ago

5 0

Answer:

H(-1) = <u>2(-1) - 6</u>

4(-1)^2+8

= <u>- 2-6</u>

4(1)+8

= <u>-8</u>

=<u>-2</u>

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Write the slope-interest form of the equation that passes through (-2,6) with a slope of 3/2

iVinArrow [24]

Answer:

y = 3/2x+6

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Ben the camel drinks tea ( so classy ). he drinks 350 liters of tea every 2 days

ziro4ka [17]

Ben drinks 1,050 liters of tea every 6 days.

<h3>How many liters of tea does Ben drink every 6 days?</h3>

Convert the object's dimensions into centimeters before performing the volume calculation in liters. Next, determine a shape's volume using the volume formula. The metric unit for measuring volume or capacity is the liter (or liter). Liters are a standard unit of measurement frequently used to measure liquids.

Divide Bens daily tea usage by the number daily tea usage rate.

Ben the camel drinks tea ( so classy ).

He drinks 350 liters of tea every 2 days.

liters (Volume) = usage times /days

350 × (6/2)

= 350 × 3

= 1,050 liters of tea does Ben drink every 6 days.

As a result, Ben drinks 1,050 liters of tea every 6 days.

#SPJ4

7 0

1 year ago

(Problem on image.)...

ANEK [815]

Hey there! :)

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in!

a² + b² = c² → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

$\sqrt{b^2} = \sqrt{300}$

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~

7 0

2 years ago

Rhonda hiked 260.4 feet and hiked 3 more hours and I got that by adding 1.5+1.5=3 but what do I do

Hunter-Best [27]

1.5 + 1.5 + 2 = 5 hours
All you must do is: 260.4 / 5 = ?

6 0

2 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

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2 years ago