MATHEMATICS MIDDLE SCHOOL

Let f(x) = 8x and g(x) = x - 3. What's
the smallest number that is in the domain of
fog?

Answers

Answer 1
Answer:

Answer:

The smallest number that is in the domain of fog is 3

Step-by-step explanation:

f(x) = √(8x) (as corrected in comments)

g(x) = x-3

we need to find fog = f(g(x))

For finding f(g(x)) we put the value of g(x) inside the f(x)

f(g(x))=√(8(x-3))

The domain of this function is x ≥ 3

because if value of x is less than 3 than the result would be negative and we know √f(x) ≥ 0

So, the smallest number that is in the domain of fog is 3

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Eloise is planning on retiring soon. When she first began working she invested $1500 in a retirement fund. The percent increase on her investment is 95%. How much does she have in the account now?

Answers

Answer:

she has $2925 in her account now

Step-by-step explanation:

Hello

I think I can help you with this

the amount that eloise currently has in her account is the sum of the initial amount + interest

Let

initial amount=$1500 = 100%

the amount that eloise currently has in her account is the sum of the initial amount + interest

100%+95%=195%

she has 195% of the initial value invested, you can find this value using a rule of three

if

$1500⇔100%

$x?     ⇔195%

(1500)/(100) =(x)/(195)\n solve\ for\ x\n(195*1500)/(100)=x\nx=2925

$2925

she has $2925 in her account now
$2925 she would have left in her account :)

What value of r makes the equation true? r 0.12 = 0.20 A. r = 0.32 B. r = 0.08 C. r = –0.08 D. r = –0.32

Answers

Depends on your question...

If your question is r + 0.12 = 0.20 then do this:

Subtract 0.12 from both sides

r = 0.08

The answer is B.


If your question is r - 0.12 = 0.20 then do this:

Add 0.12 on both sides

r = 0.32

The answer is A

So it depends on your question :P
Subtract 0.12 from both sides.
Then you get 0.20 - 0.12 on the right side of your equation, which equals 0.08.

C. r = -0.08

Hope I Helped!!!

STEP 1Choose at least 4 of the following constructions to use on your Wrapping Paper Design:
• A bisected angle
• A perpendicular line drawn from a point not on a line to a line
• A perpendicular line drawn through a given point on a given line
• A quadrilateral with at least one pair of parallel lines
• A segment bisected by a perpendicular line, ray, or segment
• An equilateral triangle
• Two congruent triangles
• Two congruent segments
• Two parallel lines, one of which is drawn through a given point
Perform these constructions on a sheet of paper leaving all marks used in the construction.
STEP 2
Write down the instructions for the 4 chosen constructions, in your own words. Give these instructions to another person to recreate the constructions. Adjust your instructions as needed to make sure they are clear and precise. (Take notes, this will be included in your reflection summary).
STEP 3
Combine your constructions to make a pattern or design for your Wrapping Paper. You will do this on a standard sheet of paper. Be creative, but make sure to include all 4 of your constructions. Make sure to number your constructions and create a key describing each element.
STEP 4
Write a paragraph reflecting on any difficulties you encountered creating your design, the key, or writing your construction instructions.

Answers

what do u need to do exactly

Final answer:

This high school mathematics assignment involves practicing geometrical constructions, creating a wrapping paper design using the constructs, documenting the process, and writing a reflection summary about it.

Explanation:

This activity seems to be about practicing geometrical constructions and applying these skills in a creative context, most likely as a part of a geometry class. It involves choosing four different geometrical constructs, drawing them, recording the instructions on creating these constructs, using these constructs to make a wrapping paper design, and then reflecting on the process.

Step 1: Choose the four constructs like a bisected angle, a quadrilateral with at least one pair of parallel lines, an equilateral triangle, and two parallel lines, one of which is drawn through a given point.

Step 2: Carefully write down the step by step instructions for the chosen geometrical constructs. These instructions must be easy to understand and follow.

Step 3: Combine all the selected constructs into a creative design for wrapping paper. It is essential to accurately depict the constructs in the design and label each element using a key.

Step 4: Once the design is complete, write a reflection summary about the process. This reflection may include any difficulties encountered in creating the design or writing the construction instructions.

Learn more about Geometry Constructions here:

brainly.com/question/40022128

#SPJ12

The circumference of a circle is 10cm what is the radius of a circle

Answers

Answer:

Radius is 5/π or 1.59

Step-by-step explanation:

C = 2πr

Step 1:  Solve for r

C = 2πr

10/2 = 2πr / 2

5 / π = πr / π

5/π = r

Answer:  Radius is 5/π or 1.59

What is the value of y?

6(5 + 3) = 6 • 5 + 6 • y

Answers

6(5+3)=6\cdot5+6\cdot y\n\n6(8)=30+6y\n\n48=30+6y\ \ \ \ |subtract\ 30\ from\ both\ sides\n\n18=6y\ \ \ \ |divide\ both\ sides\ by\ 6\n\n3=y\n\n\huge\boxed{y=3}

6(5+3)=(6)(5)+6y

Simplify

6(5+3)=(6)(5)+6y

48=30+6y

48=6y+30

Flip the equation.

6y+30=48

Subtract 30 from both sides.

6y+30−30=48−30

6y=18

Divide both sides by 6.

6y / 6 = 18/ 6

y=3

Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. If she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)? A) 0.14
B) 0.19
C) 0.20
D) 0.25

Answers

There is a total of 16+11+9+15+8+20 = 79 blocks.  Since she is replacing the block each time it is drawn, the probability that she draws an orange block is always the same (10 draws or 500 draws).  Since 20 of the blocks are orange, the probability would be

20/79 or

D) 0.25

Answer: D. 0.20

Explanation: I also have this question on this test and I got it right. :)

Sorry if I'm late answering this. :(
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