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3 years ago

What is the quotient?

Mathematics

1 answer:

cricket20 [7]3 years ago

8 0

we can use synthetic division

and then we can find quotient

we can see in the image

we will get

$quotient=2x+7$

$remainder=0$

$(2x^2+9x+7)=(x+1)(2x+7)$

so, we get

$quotient=2x+7$ .............Answer

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3 years ago

Consider the function below. g(x) = 4x − 1 Find the difference quotient below (where h ≠ 0) and simplify your answer. g(x + h) −

eimsori [14]

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

$g(x) = 4x - 1$

To find:

Difference quotient = ?

where $h \neq 0$

Solution:

Formula for Difference quotient is given as:

$\dfrac{g(x+h)-g(x)}{h}$

First of all, let us find out $g(x+h)$

Replacing $x$ with $x+h$

$g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1$

Now,

$g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h$

Putting the above value in:

$\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}$

We are given that, $h \neq 0$

$\therefore \dfrac{4h}{h} = 4$

So, the difference quotient is 4.

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2 years ago

-2(x-4)^2+1 in standard form

zepelin [54]

Answer:

the standard form is : -2x²+16x -31

Step-by-step explanation:

hello :

-2(x-4)²+1 = -2(x²-8x+16)+1 = -2x²+16x-32+1

-2(x-4)²+1 =-2x²+16x -31

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2 years ago

If 2/3 inch on a map corresponds to an actual distance of 9 miles what distance on the map will represent 21 miles

weeeeeb [17]

2/3in=9mi
?in=21mi

we can set up a ratio and proportion, but I would fix that fractions because they tend to be messy

2/3in=9mi
multiply both sides by 3
2in=27mi

so now we have
2in:28mi=?in:21mi
$\frac{2in}{28mi}=\frac{?in}{21mi}$
multiply both sides by 21mi
the miles cancel and we get
$\frac{42in}{28}=?in$
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1.5 inches represents 21 miles

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3 years ago