Helena is thinking of a number. That number raised to the third power is 100 greater than when it is raised to the second number. What is the number Helena thinking about

Answer:

Step-by-step explanation:

g(3)= (3+1)/(3-1)= 4/2= 2

f(2)= 3(2)-7 = 6 - 7 = -1

answer is a. -1

the answer is -4

Step-by-step explanation:

f(x)=4(x)-12

=4(2)-12

=-4

9514 1404 393

Answer:

  n = 3

Step-by-step explanation:

In order for 3 × 3 = 9 to be a factor of both numbers, we must have ...

  n = 3

Answer:

x = 20

Step-by-step explanation:

The 2 given angles are adjacent on a straight line and sum to 180° , then

123 + 2x + 17 = 180

140 + 2x = 180 ( subtract 140 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

C. 2 and 6

Step-by-step explanation:

2 and 6 are the zeros because they are both on X

We know that f(x) = 12x + 12

f(1) = 12 * 1 + 12= 24

f(0) = 12*0 + 12 = 12

The formula of the average rate of change is : f(1) - f(0)  /  (1 - 0)

(24 - 12) / 1 = 12/1 = 12

So the average rate of change is 12

Good Luck

Y-intercept - 4

Slope - 3

Slope intercept form - y=3x + 4

Hope it's correct and it helped:)

Answer:

BC = 4

Step-by-step explanation:

sqrt( (-4-(-4))^2+(3-(-1))^2)

Answer:

4

Step-by-step explanation:

using points (-4,-1) and (-4,3) put them into the equation.

[tex]\\\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

[tex]\sqrt{((-4)-(-4))^{2}+ 3-(-1))^{2} }[/tex]

[tex]\sqrt{0+(3+1)^{2} }[/tex]

[tex]\sqrt{0+16}[/tex]

[tex]\sqrt{16}[/tex]

4

The second part of the trip would take 1.5 hours.

Speed is the ratio of the total distance travelled to total time taken. It is given by:

Speed = distance/time

Since the total distance is 175 miles at an average speed of 50 mph. Hence the total time is:

Speed = distance/time

50 = 175/time

time = 175/50

Time = 3.5 hours

Since the first trip takes 2 hours, the time needed for the second trip is:

Total time = time for first trip + time for second trip

3.5 hours = 2 hours + Time for second trip

Time for second trip = 1.5 hours

The second part of the trip would take 1.5 hours.

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Answer:

I can't read that..........

Answer:

2 boys for every 1 girl

Step-by-step explanation:

Is this what you meant? Or am I missing something?

Answer:

56

Step-by-step explanation:

Let the angle be " x ".

Complement of the angle = ( x - 22 )

To find : x = ?

x + x - 22 = 90

2x - 22 = 90

2x = 90 + 22

2x = 112

x = 112 / 2

x = 56

Therefore, the angle is 56.

Answer:

9

Step-by-step explanation:

Well since 11 of the pirates had eyepatches, and 11 is greater than 9, all 9 of the pirates that had cutlasses had eyepatches as well. I don't know if this is completely correct but it's the only thing that makes sense to me.

Answer:

8 + 12 =20

Step-by-step explanation:

i think 20 the answer

Answer:

You only have yo flip it

Step-by-step explanation:

I did it before

Answer:

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

Step-by-step explanation:

First make points out of the number!

(5,0), (-2,0), and (0,-20)

Plug it into this, p and q being the roots

y=a(x-p)(x-q) ---> y=a(x-5)(x+2)

Now plug in x and y from our y-intercept

-20 = a(0-5)(0+2) --> -20 = -10a ---> 2 = a

Now plug in "a" in orginal equation

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

Answer:

[tex]a=60\\b=44\\c=76[/tex]

Step-by-step explanation:

You can write these equations to represent the problem:

[tex]a+b+c=180\\b+c=2a\\b=c-32[/tex]

Now, just solve it as a system of equations. I'll solve by substitution, starting from the bottom as b is already defined there.

[tex]b=c-32\\b+c=2a\\(c-32)+c=2a\\c+c-32=2a\\2c-32=2a\\a=c-16[/tex]

That's the middle equation done, now I'll do the top one:

[tex]b=c-32\\a+b+c=180\\a+(c-32)+c=180\\a+2c-32=180\\a+2c=212\\a=-2c+212[/tex]

Now we have just 2 equations with 2 variables. That's another system of equations, but this one is much easier to solve. Using substitution again:

[tex]a=c-16\\a=-2c+212\\c-16=-2c+212\\3c-16=212\\3c=228\\c=76[/tex]

Finally, we have one variable solved. Using the value of C, now we can solve for A:

[tex]c=76\\a=c-16\\a=76-16\\a=60[/tex]

Thats 2 done. Now, pick any equation that has all 3 variables and solve for B:

[tex]a=60\\c=76\\a+b+c=180\\60+b+76=180\\b+136=180\\b=44[/tex]

All 3 variables done.

[tex]a=60\\b=44\\c=76[/tex]

Now, we can confirm that they're correct by checking with the original equations:

[tex]a+b+c=180\\60+44+76=180\\180=180\\\\b+c=2a\\44+76=2(60)\\120=120\\\\b=c-32\\44=76-32\\44=44[/tex]

They all work fine.

Answer:

[tex]\tiny\mathbb\limegreen{Verified \: Answer}[/tex]

Answer:

12.64

Step-by-step explanation:

cos 53 = Adjacent side/Hypotenuse

cos 53 = Adjacent side/21

21 * cos 53 = (Adjacent side/21) * 21

21 cos 53 = Adjacent side

Adjacent side (AB) ≈ 12.64

Step-by-step explanation:

1)

The rule is: (x, y) → (x + 4, y - 3)

This is the translation 4 units right and 3 units down.

2)

Since same rule applied to all three points A, B and C, they translate into same direction and same distance.

It means AA' and BB' are parallel and congruent. Same applies to segment CC', it is parallel to AA' and BB' and have same length.

Answer:

1)

The rule is: (x, y) → (x + 4, y - 3)

This is the translation 4 units right and 3 units down.

2)

Since same rule applied to all three points A, B and C, they translate into same direction and same distance.

It means AA' and BB' are parallel and congruent. Same applies to segment CC', it is parallel to AA' and BB' and have same length.

Step-by-step explanation:  i did this so you can brainlist the other person

Answer:

1. Not a translation    2. Translation

Step-by-step explanation:

1.) The blue shape is bigger than the red and thus NOT a translation

2.) Both figures are the same size and shape and thus meet the qualifications of a translation.

a translation is simply moving the EXACT SAME shape. Hope this helped!

Answer:

4.5

-1

Step-by-step explanation:

The line cuts x axis at ( 4.5 , 0 )

So its x intercept is 4.5

Also it cuts y axis at (0,-1) .

So its y intercept is -1

Answer:

2b + 3n = £15.50

4b + 1n = £13.50

2 ( 2b + 3n =  15.50 )

4b + 6n = 31.00

    4b + 6n =  31.00

-    4b +  1n = 15.50

            5n  = 15.50

              n  =  3.1

subtitue n in to the equation

2b + 9.3 = £15.50

2b          = £6.20

b             = 3.10p

Step-by-step explanation:

both the bracelets and necklace cost £3.10

The cost of one bracelet is $2.50

b = cost of the bracelet

n = costs of necklace

⇒ 2b + 3n = 15.50

⇒ 4b+1n = 13.50

Multiply the first equation by -2

⇒ -4b - 6n = -31

⇒ 4b + n = 13.50

---------------------------

-5n = -17.50

--------------------------

Divide each side by -5

⇒ -5n / -5 = -17.5 / -5

⇒ n = 3.50

Now we can find b

⇒ 4b + n = 13.50

⇒ 4b + 3.50 = 13.50

⇒ 4b + 3.50 - 3.50 = 13.50 -3.50

⇒ 4b = 10

Divide by 4

⇒ 4b / 4 = 10/4

⇒ b = 2.50

The cost of one bracelet is $2.50.

A system of equations comprises two or more equations and seeks common solutions to the equations.

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Answer:

9a+18=9

9a=-9

a=-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think is linear pair.

Answer:

-4/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find this all you need to do is subtract 13 and 25 from the left side of the equation to get the answer in the form of g=. in this case g= 15