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Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

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Money with Tom = ×

Money with Aaron = x + 8

Their sum = $20

This can be written as :

= x + x + 8 = 20

= 2x + 8 = 20

= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .

= 2x = 12

= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .

= x = 6

Which means ,

Tom has = x = $6

Aaron has = x + 8 = $6 + $8 =

= $14

Therefore , Tom has = $6 and Aaron has = $14 .

Answer:

Step-by-step explanation:

1. (x-3)(x+8)

x^2+5-24

2. (-3x+2)(4x+5)

-12x^2-7x+10

3. (x+4)(x-4)

x^2-16

4. (x+5)^2

x^2+10x+25

5. (2x-7)^2

4x^2-28x+49

6. (x-7)(x+7)

x^2-49

7. (5x-1)(2x+4x-3)

30x^2-13x+3

8. (3x^3+7x^2+7x+10

Answer:

I am pretty sure the last one is correct

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

Here, we have,

from the given tables, we get, the information that,

from the 1st table, we get,

x---y

0---1

1---2

2---4

3---8

In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.

This indicates a linear relationship between x and y, where the y-value is twice the x-value.

but, in the other tables, we can't get any linear relationship between x and y.

so, we get,

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

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Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4  ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

Answer:

3100

Step-by-step explanation:

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.

Answer:

Its already simplified but if you mean a mixed number then its 27/16

Step-by-step explanation:

Answer:

Answer: The question is a multiple choice so it's A and C:)

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Option B is the correct answer

9514 1404 393

Answer:

  4 cm

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 12 cm.

The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...

  (1/3)(12 cm) = 4 cm

The width of the rectangle is 4 cm.

Answer:

7.1

Step-by-step explanation:

328 23 = 14.2608695652

14.2608695652 = 142.608695652 to the nearest tenth

14.2608695652 = 14.26 to the nearest hundredth

14.2608695652 = 14.261 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

328 divide by half plus 20

Homework answers: (328/2) + 20 = 184

328 divide by half plus 40

Homework answers: (328/2) + 40 = 204

328/23 divided by 2

Answer: (328/23) ÷ 2 = 7.13043478261

Answer:

x = 4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

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4/16(100)

Step-by-step explanation:

Answer:

4/16(100)

Step-by-step explanation:

Answer:

He Won 26 Box trolls and 11 Pikachus

Step-by-step explanation:

You subtract 37-11 which would get you 26

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given coordinates:

       (-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

     (-1,0) and (5, -8)

The equation for solving this problem is shown below;

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

x₁  = -1      y₁ = 0

x₂  = 5      y₂  = -8

      Distance  = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex]   = 10

The distance between the two points is 10.

Answer:

C

Step-by-step explanation:

if you draw a line between the points then draw vertical lines they dont cross more than one dot

Answer:The x could just mean a variable but I don't know what F means sorry.

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

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