Let f(x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
Select the correct response:
f(x) – g(x) = 7x + 1
f(x) – g(x) = 3x – 5
f(x) – g(x) = 7x – 1
f(x) – g(x) = -3x + 5

Answer:

b) 41.6 square inches

Step-by-step explanation:

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

Step 1

We find the radius

Radius = Diameter/2

= 8 inches/2 = 4 inches

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

An hexagon has 6 sides

The number of angles in an hexagon is calculated as:

[(Number of sides - 2) x 180]

= (6 - 2) x 180 = 720 ÷ 6 = 120°

The hexagon into 6 equilateral triangles with 4 for each of its sides.

The area of one of the triangles:

Height = 2√3

- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3

The area of the hexagon by multiplying the one triangle's area by 6:

6 x 4√3 = 24√3 square inches

= 41.569219382 square inches

Approximately = 41.6 square inches

Answer:

None of these can be triangles.

Step-by-step explanation:

All triangles’ side lengths must follow this pattern - the two shortest sides must be GREATER than the longest when added together. 6 + 4 < 10, so this isn’t a triangle. 3 + 8 = 11, so this isn’t a triangle. 8.4 + 7.7 < 16.6, so this isn’t a triangle. Lastly, 4 + 3 < 16, so this isn’t a triangle. Hope this is accurate & helpful! Best of luck.

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

Answer:

1024

Step-by-step explanation:

2•2•2•2•2•2•2•2•2•2

1024

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

3(7) -(-5)/2

21 + 5/2

47/2

that's all

Answer:

x=7

y=−5

D= 47/2=23.5

Answer: good luck

Step-by-step explanation:

Answer:

The answer is 11%

Step-by-step explanation:

i know i know no need to thank me

Answer:

The function is:

Missing numbers:

Answer:

a=4

b=-6

Step-by-step explanation:

If P(x) is divisible by x-c, then P(c)=0.

So P(1)=0 implies 1^3+a1^2+1+b=0

and

P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0

So notice we have a system to solve.

Let's simply it.

First equation:

1^3+a1^2+1+b=0

1+a+1+b=0

2+a+b=0

a+b=-2

Second equation:

(-3)^3+a(-3)^2+-3+b=0

-27+9a-3+b=0

9a+b-30=0

9a+b=30

Let's put our system together:

a+b=-2

9a+b=30

This is setup so if we subtract the equations b will eliminate allowing us to solve for a:

-8a=-32

a=4

If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.

a=4

b=-6

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

Answer:

- 3/5

Positive

Step-by-step explanation:

when plotting on a number line, you will start with the first term listed in the equation, in this case it is -3/5

then, if the next term is positive, you will move to the right (aka positive direction), but if the next term is negative then you will move to the left (aka negative direction)

in this question, the next term is positive, so you will move in the positive direction

Answer:

17.     9 yd^2

18.     37.5 yd^2 ( I'm not sure it is the right one.)

Step-by-step explanation:

17. 3*3 =9

18. 5*15/2=37.5 yd^2

5 is the side of the pentagon

Answer:

D

Step-by-step explanation:

Answer:

there is no question

Step-by-step explanation:

edit ur question

Answer:  60 cups of cheese

Step-by-step explanation:

noodles:cheese:potatoes

4:5:7

192 total cups of soup

each unit of recipe is 4+5+7=16

so divide total cups of soup by one recipe unit

192/16=12

This means 12 recipe units were used.  So each value from ratio 12 times...

4:5:7 = one unit of soup (16 cups)

48:60:84 = 12 units of soup (192 cups)

So 60 cups of cheese are needed for 192 cups of soup.

Answer:

C

why does it say a minimum of 20 words

Answer:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Step-by-step explanation:

Given

[tex]\tan A =-\sqrt{15[/tex]

Required

Find [tex]\tan(A - \frac{\pi}{4})[/tex]

In trigonometry:

[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]

[tex]tan \frac{\pi}{4} = 1[/tex]

So:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

Answer:

sphere

hope this answer helps you..

Answer:

i don't know xD cya later

Answer:

Hey! Answer: F

Step-by-step explanation:

13.5 ÷ 9= 1.5

18 ÷ 12 = 1.5

So our pattern is to enlarge/multiply it by 1.5

So 1.5 x 15 = 22.5

So F is our answer!

Answer:

(a+b)*(a+b)

c*c

(1/2*a*b)*4

Step-by-step explanation:

The area of a square is equal to side times side, so a+b=one of the sides of a square so you multiply this by another a+b to get the whole square

Same as the last part but c is equal to one side so we do c*c for the are

The area of a triangle is 1/2*base*height, so we do 1/2*a*b since a is equal to the base of the triangle and b is equal to the height. This is only equal to 1 triangle so we multiply this by 4 since there are 4 triangles in total

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

Answer:

C. 60 degrees, 60 degrees, 60 degrees

Step-by-step explanation:

The measures of interior angles of a triangle sum to 180°.

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

Step-by-step explanation:

Here's your solution

=> percentage of zinc = 30%

=> total weight of alloy = 300 gram

=> amount of zinc = (30/100)*300 = 90 gram

=> amount of copper = 300 - 90 = 210 gram

hope it helps

Answer:

Airplane A has the greater median flight length

Airplane A has a greater range

Airplane B has a greater spread

Answer:

4) A

5) B

6) B

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km