for the function g defined above, a is a constant and g(4) = 8 what is the value of g(-4)

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Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

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The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

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Extra info:

The equation of this absolute value function is y = |x|+1

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

Step-by-step explanation:

This is my solution you honestly just need to cross multiply

Answer:

113.5

Step-by-step explanation:

32 : 4 = 908 : X

X = (4 * 908) / 32

X = 113.5

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

Answer:

260.

because 263 is below 265 so it wont change to 270.

Answer:

A

Step-by-step explanation:

It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion

Answer:

110

Step-by-step explanation:

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

Answer:

x = -2

Step-by-step explanation:

Step-by-step explanation:

The power reducing formulas are given by the following:

[tex]\sin^2 x = \dfrac{1- \cos2x}{2}[/tex]

[tex]\cos^2 x = \dfrac{1+ \cos2x}{2}[/tex]

We can then write the given expression as

[tex]\sin^25x \cos^25x[/tex]

[tex]= \left(\dfrac{1- \cos 2(5x)}{2} \right) \left(\dfrac{1+ \cos 2(5x)}{2} \right)[/tex]

[tex]= \dfrac{1}{4}(1- \cos 10x)(1+ \cos 10x)[/tex]

[tex]= \dfrac{1}{4}(1- \cos^2 10x)[/tex]

[tex]= \dfrac{1}{4} \left(\dfrac{1- \cos 20x}{2} \right)[/tex]

or

[tex]\sin^25x \cos^25x= \dfrac{1}{8}(1- \cos 20x)[/tex]

9514 1404 393

Answer:

  (b) 19.7 ft

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.

  P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet

The perimeter is about 19.7 feet.

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

Answer:

4

Step-by-step explanation:

2+2=4

A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?

Answer:-42 cm

Answer:42cm

Step-by-step explanation:

formula=2l+2w

2 (9)+2 (12)

18+24= 42cm

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

Answer:

The angle is in the third quadrant

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

Answer:

3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

The first number is 2.5

The second number is 3.5

We need to find the number that is exactly halfway between 2.5 and 3.5​. It can be calculated as follows :

[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]

Hence, 3 is exactly halfway between 2.5 and 3.5​.

Answer:

C

Step-by-step explanation:

it is not my percentage, it is not constant, it is increasing over time

Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

Answer:

The solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]

2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]

Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].