Decmial: 0.77 thanks!​

Answer:

41

Step-by-step explanation:

This composite function can be easily solved

First solve f(-2)

f(-2)=(-2)³+3

f(-2)=-8+3=-5

Now plug -5 for x in function g(x)

=2(-5)²+2(-5)+1

=50-10+1

=41

9514 1404 393

Answer:

  41

Step-by-step explanation:

g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)

= 2(-5)² +2(-5) +1 = 50 -10 +1

g(f(-2)) = 41

Step-by-step explanation:

As it holds Associative property..

So, it's correct

Answer:

TRUE

Step-by-step explanation:

Associative property of multiplication

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\[/tex]

[tex]\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\[/tex]

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

Answer:

As x→∞, f (x)→∞ and g(x)→∞.

Step-by-step explanation:

Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

Answer:

(0, 0)

Step-by-step explanation:

Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).

9514 1404 393

Answer:

  C)  69 ft

Step-by-step explanation:

The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.

  length = √(60² +35²) = √4825 ≈ 69.46

The length needed is about 69 feet.

Answer:

Yes the function is continuous f(5) = 13

Step-by-step explanation:

Replace the variable x with 5 in the expression

Simlify the results

f(5) = 3(5)-3

f(5) = 15=3

f(5) = 13

Plotting on a graph gives a coninous line with a positive gradient

y intercept (0,-2)

Please view the attached graph

Answer:

Step-by-step explanation:

y = 3x - 2

Slope of line is 3.

Slope of any perpendicular to the line is -⅓.

Answer:

$56×2=$112 and $45×4=$180 so $112+$180= $291

Answer:

The answer is (D) $22 000

Step-by-step explanation:

800,000/100 = 8,000

8,000*2.75=22,000

Answer:

14 minutes

Step-by-step explanation:

if Pete is x times fast then Repeat is 3x faster

so if both combine to complete a job in 56 minutes then we have

[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]

remember Pete is x hence Pete was 14 minutes fast

Answer:

100

Step-by-step explanation:

Answer:

100 1- bedroom and 150 2- bedroom

Step-by-step explanation:

let x be the number of 1- bedroom apartments , then

x + 50 is the number of 2- bedroom apartments , so

x + x + 50 = 250 ( subtract 50 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom

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Answer:

  all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.

All of the numbers listed except π are rational.

Answer:

Ans : the length of 5/9 is 5m

Answer:

[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]

Answer:

y-(-5)=-15

y+5=-15

y=-15-5

y=-20

Answer:

1/4

Step-by-step explanation:

24/6

4

4+4+4+4+4+4

Answer:

y = [tex]\frac{5}{2}[/tex]x + 6

Step-by-step explanation:

Answer:

In order for the function to be discontinuous at an asymptote, the curve needs to exist on both sides of the asymptote. If the curve only exists on one side of the asymptote, then there's no discontinuity at that point.

Step-by-step explanation:

Answer: 3ft difference

Step-by-step explanation:

Seagull = +4ft

Fish = +1ft     (since it jumped 1ft above sea level)

4-1 = 3ft difference

Answer:

Range is (0, -5)

Step-by-step explanation:

[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]

when x is 0:

[tex]{ \sf{f(0) = - 5}}[/tex]

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

Answer:

No

Step-by-step explanation:

To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097

And finally we have:

97/1000 as a decimal equals 0.097

Answer:

Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941

Step-by-step explanation:

x intercept is 1

y intercept is 2

Hope it helps

9514 1404 393

Answer:

  $58

Step-by-step explanation:

James currently has $67 less than $125:

  $125 -67 = $58

James currently has $58.

Answer:

1. 0

2.0

3.2

4.1

Step-by-step explanation:

1.3x+18

2.-2x+2

3.x-x+4-2

5-2x-2+5-2x

Answer: