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4 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g –

Mathematics

2 answers:

Sveta_85 [38]4 years ago

7 0

F(x) = 4 - x^2
g(x) = 6x
(g - f)(x) = g(x) - f(x) = 6x - (4 - x^2) = 6x - 4 + x^2
(g - f)(3) = 6(3) - 4 + 3^2

Artist 52 [7]4 years ago

4 0

Answer:

Option (c) is correct.

$(g-f)(3)=6(3)-4+(3)^2$

Step-by-step explanation:

Given : $f(x)=4-x^2\\\\ g(x)=6x$

We have to find the expression is equivalent to (g –f)(3)

That is g(3) - f(3)

First find g(x) - f(x)

We have,

$g(x)-f(x)=6x-(4-x^2)\\\\ g(x)-f(x)=6x-4+x^2$

Now, put x = 3

We have,

$g(3)-f(3)=6(3)-4+(3)^2$

Thus, $(g-f)(3)=6(3)-4+(3)^2$

You might be interested in

The largest U.S flag in the world is 225 feet by 505 feet.

max2010maxim [7]

Answer:

Step-by-step explanation:

Remark

The ratio should be 10 : 19

Given

Flag Ratio: 225 : 505

Break the dimensions into prime factors.

225: 15 * 15 = 3*5 * 3*5

505: 5 * 101

Conclusion

101 is prime so this dimension cannot be broken down any further

The fives cancel out. The dimensions of this flag are in the ratio of 45/101 which is 0.4455

10/19 = 0.5263

I would say this is reasonably close.

4 0

3 years ago

Which expression is not equivalent to 8 + (n - 4)? n +4 (8 + n) - 4 12 + n (8-4) +n

Alenkasestr [34]

Answer:

12+n

Step-by-step explanation:

8+n-4 = n+4

n+4 = n+4 (Can not be simplified).

(8+n)-4 = n+4

12+n = 12+n (Can not be simplified).

(8-4)+n = n+4

So the answer would be 12+n because it does not equal n+4.

4 0

4 years ago

A carpet store sells designer rugs at retail for $850.98. If a 50% markup based on cost is added, what is the cost (in $) of the

sweet-ann [11.9K]

Answer:

$1276.47

Step-by-step explanation:

Given that the designers rug is sold for $850.98 .

A 50% markup based on cost is added.

The new cost Will be 50% of $850.98 added to $850.98.

That’s 50%/100% x $850.98

0.5 x $850.98

$425.49

New cost = $850.98 + $425.49

= $1276.47

The cost of the designers rug will be $1276.47

5 0

3 years ago

Which answer is equal to i58 ? −i i −1 1

skad [1K]

the answer is -1. i just took the quiz and here it is hope this helps as you could tell i put the other answer but it was wrong

6 0

4 years ago

The length of a certain rectangle is twice its width. if the lenth is decreased by 3 cm, the area of the resultign recatangle is

Maslowich

Here's what we know:
$l=2w$
$l*w=A [tex](l-3)*w=A-12$

Now let's substitute in what we know from the first equation into the third equation:
$(2w-3)*w=A-12$
$2w^{2}-3w=A-12$
$2w^{2}-3w+12=A=l*w=2w*w=2w^{2}$
$-3w+12=0$
$-3w=-12$
$w=4$

Since we know the relationship between length and width:
$l=2w=2*4=8$

So l=8, w=4.

3 0

3 years ago