Factorise this expression as fully as possible 2x^2+6x

WHO EVER GETS IT RIGHT GET BRAINLEST

iragen [17]

Answer:

Step-by-step explanation:

-43-(-18)

When u multiply minus into minus answer will be plus

-43+18

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6 0

3 years ago

Read 2 more answers

How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?

Ivanshal [37]

Answer:

The amount of water need to be added is 5 liters.

Step-by-step explanation:

Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.

Now find the amount of sugar syrup = 40% of 15

= 0.4 × 15

The amount of sugar syrup = 6 Liters

To dilute 30% we need to find amount of water to be added.

So,

30% of (15 + x) = 6

0.3 × (15 + x) = 6

4.5 + 0.3x = 6

0.3x = 6 - 4.5

0.3x = 1.5

Dividing both sides, by 0.3, we get

x = 5

So, the amount of water need to be added is 5 liters.

6 0

3 years ago

Read 2 more answers

Use the drawing tools to form the correct answer on the graph.

-Dominant- [34]

Answer:

dad

Step-by-step explanation:

dad

4 0

2 years ago

Read 2 more answers

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution/u-solve</em>.

Set <em>u</em>:
$\displaystyle u = 4 - x^2$
[<em>u</em>] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[<em>du</em>] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

<u>Step 3: Integrate Pt. 2</u>

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[<em>u</em>] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0

2 years ago

In a cafeteria,

____ [38]

Answer:

2 students

Step-by-step explanation:

First, you find the number of students eating either salads and sandwiches. Then, you add the number of students eating salads and sandwiches together. Finally, you will subtract that number from the 12 total students

<h3>2/3 * 12/1 = 8 (sandwiches)</h3><h3>1/6 * 12/1 = 2 (salads)</h3><h3>8 + 2 = 10 (combined)</h3><h3>12 - 10 = 2 students</h3><h3 />

7 0

2 years ago