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2 years ago

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fog)(10)

Mathematics

1 answer:

aksik [14]2 years ago

8 0

To get this f(g(10))

We do g(x)= 10-4= 6

This plug this into f(6)= 6^2 +1= 37

The answer is 37

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3 years ago

Solve this system of equations.

Dennis_Churaev [7]

Answer:

x = -3 and y = 0

Step-by-step explanation:

It would be more direct to apply elimination in this problem, rather than substitution:

2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30

+ 2(4x - 3y = -12) + 8x - 6y = -24

Now let us solve for x through simply algebra:

10x = -30,

x = -3

Substitute this value of x into the first equation to get the value of y:

2( -3 ) + 6y = -6,

-6 + 6y = -6,

6y = 0,

y = 0

4 0

3 years ago

Read 2 more answers

The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely. 81x2 – 49 The

borishaifa [10]

To answer your question: Rewrite 81x2 as (9x)2.(9x)2−49Rewrite 49 as 72.(9x)2−72 Both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=9x and b=7.(9x+7)(9x−7)

3 0

3 years ago

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Greatest common factor 48x^5,39x^6

lora16 [44]

4,853,096 is the number

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4 years ago

Find the equation of the graphed line.

belka [17]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}$

<h3>Step-by-step explanation:</h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

$\large\boxed{\orange{\bf y = mx + c} }$

We know that slope is $\tan\theta$ . So here slope will be ,

$\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}$

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

$\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}$

<h3>Hence option [ d ] is correct . </h3>

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3 years ago