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3 years ago

Please help be good person

Mathematics

1 answer:

Alexandra [31]3 years ago

8 0

Hello!

I believe n=13

You can find the answer by adding 1, 2, and 3 together to get 6. You then divide 78 by 6 to get 13. You can also substitute n w/ 13 and solve the equation from there to check your answer.

I hope this helps!

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The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true sta

olganol [36]

Answer:

Here we want to complete the blank to make the equality true:

( ) = (2 - 6)*(-4)

The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:

x = (2 - 6)*(-4)

We just need to find the value of x.

Then let's solve the right side:

x = (2 - 6)*(-4) = (-4)*(-4)

Remember the rule of signs:

(-)*(-) = (+)

x = (-4)*(-4) = 4*4 = 16

Then we need to complete the blank with the number 16

(16) = (2 - 6)*(-4)

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3 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$

Read more about parabolas at:

brainly.com/question/25237745

4 0

3 years ago

Get fit gym charges a yearly fee of $250 plus $10 for each session with a personal trainer. Tight N’Toned gym charges a one time

Sindrei [870]

Answer:12345678910

Step-by-step explanation:

8 0

3 years ago

What is the lateral area?

Tanya [424]

6 times 4 times 3 =72

3 0

3 years ago

8x + 4(x – 1) = 15x – 10

Naily [24]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

8 x + 4 (x - 1) = 15 x - 10

Hint: | Distribute 4 over x - 1.

4 (x - 1) = 4 x - 4:

4 x - 4 + 8 x = 15 x - 10

Hint: | Group like terms in 8 x + 4 x - 4.

Grouping like terms, 8 x + 4 x - 4 = (8 x + 4 x) - 4:

(8 x + 4 x) - 4 = 15 x - 10

Hint: | Add like terms in 8 x + 4 x.

8 x + 4 x = 12 x:

12 x - 4 = 15 x - 10

Hint: | Move terms with x to the left hand side.

Subtract 15 x from both sides:

(12 x - 15 x) - 4 = (15 x - 15 x) - 10

Hint: | Combine like terms in 12 x - 15 x.

12 x - 15 x = -3 x:

-3 x - 4 = (15 x - 15 x) - 10

Hint: | Look for the difference of two identical terms.

15 x - 15 x = 0:

-3 x - 4 = -10

Hint: | Isolate terms with x to the left hand side.

Add 4 to both sides:

(4 - 4) - 3 x = 4 - 10

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

-3 x = 4 - 10

Hint: | Evaluate 4 - 10.

4 - 10 = -6:

-3 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 x = -6 by -3:

(-3 x)/(-3) = (-6)/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

x = (-6)/(-3)

Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.

The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:

Answer: x = 2

8 0

3 years ago

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