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3 years ago

Use the distributive property to create an equivalent expression to 9x+21

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

9(x + 3)

Step-by-step explanation:

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

$f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C$

Since $u=1+7x^2>0$ for all $x$ , we can drop the absolute value, so we end up with

$f(x)=\dfrac27\ln(1+7x^2)+C$

Given that $f(0)=10$ , we have

$10=\dfrac27\ln1+C\implies C=10$

so that

$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

7 0

3 years ago

Wich is a better buy?4 cans for $6 or 8 cans for $10

Oliga [24]

Answer:

Step-by-step explanation:

6/4=1.5 (price per can)

10/8=1.25 (price per can)

1.25 is cheaper than 1.5

the second one is the better buy

8 0

2 years ago

Read 2 more answers

Describe and correct the error in solving the equation -1.5+k=8.2 k=8.2+(-1.5) k=6.7

Snezhnost [94]

Hello :
-1.5+k=8.2
k=8.2+(+1.5)..... (+ 105 no : - )
k=.....

6 0

2 years ago

0.6(4-2x)=20.5-(3x+10)

solong [7]

The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5

Solution:

Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )

We have to solve the above given equation for x.

Now, take the equation

$\rightarrow 0.6(4-2 x)=20.5-(3 x+10)$

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction

On solving the brackets, we get

$\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10$

Now multiplication is given preference

$\rightarrow 2.4-1.2 x=10.5-3 x$

$\rightarrow 3 x-1.2 x=10.5-2.4$

Now subtraction is done

$\rightarrow 1.8 \mathrm{x}=8.1$

Now division is performed

$\rightarrow x=\frac{8.1}{1.8}=4.5$

Hence, the value of x is 4.5

5 0

2 years ago

What is the multiplicative rate of change between 10,50 and 250

scoray [572]

Answer:D

Step-by-step explanation:

5 0

1 year ago