Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8

Answer:

12k^2 + 23k - 9

Answer:

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Step-by-step explanation:

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Answer:

a. X=6°

b. 6(6)-8= 28°

c. 28+( 5(6)-2) = 56°

Answer:

6 x [tex]10^{1}[/tex] exponential notation

or 60 standard notation

Step-by-step explanation:

Answer:

Woah you're sounding like a teacher, calm down.

Anyways let's answer this...

Step-by-step explanation:

It's going to be in the order:

Decimal, fraction, percentage.

0.2, 1/5, 20%

0.8, 4/5, 80%

0.5, 1/2, 50%

0.75, 3/4, 75%

0.3, 3/10, 30%

0.6, 3/5, 60%

You see the correlation?

If u want me to explain, hmu

hope this helps :)

Reflection over the y-axis

The rule for a reflection over the y-axis is (x,y)→(−x,y)

Answer:

-3×0 - 2 × y = -4

-2 × y = -4

y = -4/-2

y = 2

Answer:

13x + 42y = 10

Step-by-step explanation:

[tex]6y - 13x + 10 = 4y12[/tex]

[tex]6y - 13x + 10 = 48y[/tex]

[tex]6y - 13x - 48y = - 10[/tex]

[tex] - 42y - 13x = - 10[/tex]

[tex]42y + 13x = 10[/tex]

[tex] = 13x + 42y = 10[/tex]

The question seems to be incomplete. I assume that we have the equation of a sphere, and we want to define equations of the intersection between that sphere and some given planes.

A general sphere of radius R centered at the point (a, b, c) is written as:

(x - a)^2 + (y - b)^2 + (z - c)^2 = R^2

Each of the planes will have a fixed value, to find the intersection, we just need to "fix" that fixed value in the equation above.

a) Intersection with xy-plane

The xy-plane has a z-value of 0 (the x and y values are free) so to write the intersection we only need to fixate z = 0.

Using the general sphere we get:

(x - a)^2 + (y - b)^2 + (0 - c)^2 = R^2

(x - a)^2 + (y - b)^2 + c^2 = R^2

(x - a)^2 + (y - b)^2 = R^2 -  c^2

This is a circle, centered at (a, b) in the xy-plane, and with a radius of:

√(R^2 - c^2)

Similarly:

b) intersection with xz-plane

Here we have y = 0, then the equation becomes:

(x - a)^2 + (0 - b)^2 + (z - c)^2 = R^2

(x - a)^2 +  b^2 + (z - c)^2 = R^2

(x - a)^2  + (z - c)^2 = R^2 - b^2

c) intersection with yz-plane

Here we have x = 0

(0 - a)^2 + (y - b)^2 + (z - c)^2 = R^2

a^2 + (y - b)^2 + (z - c)^2 = R^2

(y - b)^2 + (z - c)^2 = R^2 - a^2

Finally, in which cases we would write DNE?

Only if the expression at the right (the radius of the circle) are smaller than zero.

For example, if R^2 - a^2 < 0, then the sphere does not intersect the yz-plane.

If you want to learn more you can read:

https://brainly.com/question/9462569

Answer:

x+y=4

Step-by-step explanation:

2x+2y=8

By taking out 2 from 2x+2y as common terms, we get

2(x+y)=8

Now, by dividing both sides by 2, we get

2(x+y)/2=8)2

x+y=4

Step-by-step explanation:

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Answer:

$259.4

Step-by-step explanation:

$4150/2

$2075/2

$1037.5/2

$518.75/2= $259.375

round to nearest cent = $259.4

The balance we have after four months is $259.4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

You have $4150.in a cookie jar

Each month you spend half of the balance

Now,

Spent in 1 month=4150/2

=2075

Spent in 2 month=2075/2

=1037.5

Spent in 3 months=1037.5/2

=518.75

Spent in 4 months=518.75/2

=259.375

Therefore, answer of this algebra will be $259.4;

More about the Algebra link is given below;

brainly.com/question/953809

#SPJ2

Answer:

[tex]46\%[/tex]

Step-by-step explanation:

let the percentage be x

[tex] 37 \times x\% = 17\\ 37 \times \frac{x}{100} = 17 \\ \frac{37x}{100} = 17 \\ x = \frac{17 \times 100}{37} \\ x = 45.94\%[/tex]

Answer:

A. (3,-3), (9, -6), (0,-9)

Step-by-step explanation:

a function has only one output value(y- values) for each input value(x- values)

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

Average speed of submarine is 10 km/h

Given information;

Cruise ship left after 3 hours

Speed of cruise ship = 16 km / hour

Time taken by cruise ship = 5 hours

Find:

Average speed of submarine

Computation:

Distance = speed × time

Distance cover by cruise ship = 16 × 5

Distance cover by cruise ship = 80 km

So,

Distance cover by submarine also 80 km

So,

Time taken by submarine = 5 + 3

Time taken by submarine = 8 km

Average speed of submarine = 80 / 8

Average speed of submarine = 10 km/h

Learn more:

https://brainly.com/question/23774048?referrer=searchResults

Answer:

26.13

Step-by-step explanation:

to find the area of a circle, it's pi*r squared:

pi*3squared=9pi

it's a semi-circle so you divide it by two=4.5pi

they are telling us to use 3.14 instead of pi, so it would be:

4.5*3.14=14.13

now we find the area of the triangle. And we use the formula, (height*base)/2:

6*4/2=12

now we add the sums together, which is:

12+14.13=26.13

Answer:

[tex]3x + 2y = 6 \\ 6 - 3x = 2y \\ y = \frac{6 - 3x}{2} \\ \\ thank \: you[/tex]

Answer:

Both lines have the same slope.

Step-by-step explanation:

- If two lines are parallel, they have the same slope. To prove that these, lines are parallel, we have to first find out the slope between points.

y2 - y1 / x2 - x1

-3 - (-1) / 4 - 8

-2/-4

= 1/2

y2 - y1 / x2 - x1

3 - (-1) /2 - (-6)

4/8

= 1/2

Both the lines have the same slope meaning they are parallel.

Answer:

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Answer:

smallest:100000, and largest:999999

Answer:

30 feet/5 seconds = 6 feet/1 second. hope this helps

Step-by-step explanation:

- Zombie

Answer: 6/1

Step-by-step explanation:

30/5= 6/1

Answer:

350-315=35

(35÷350)×100

=10%

Answer:

10%

Step-by-step explanation:

I subtracted the number of total students by the ones that went on the field trip.

350 - 315 = 35

35 students did not go on the field trip.

We can turn this into a fraction:

[tex]\frac{35}{350}[/tex]

[tex]\frac{35}{350}[/tex] = [tex]\frac{1}{10}[/tex]

[tex]\frac{1}{10}[/tex] = 10%

10% of students did not go on the class field trip.

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Answer:

0.14

Answer:

x < 7

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

5x+7<42

Step 2: Subtract 7 from both sides.

5x+7−7<42−7

5x<35

Step 3: Divide both sides by 5.

x<7

For the graph, draw an open circle at 7 and an arrow pointing left.

Hope this helps! :D

Step-by-step explanation:

5x<42-7

5x<35

5x/5<35/5

x<7

Answer:

-8x(8yz)(-8)

Step-by-step explanation:

(-2x^2yz^-2)4

-8x(8yz)(-8)

Answer:

It is -80

Step-by-step explanation:

u just subtract