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nevsk [136]
3 years ago
7

you worked on a school project every day for 5 days each day you worked for 3 hours in the morning and 4 hours in the afternoon

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0
If you are asking for how many hours you work, then:

5(3+4)=5*7=35 hours total
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The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?
dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0
3 years ago
The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.
erastovalidia [21]

The hole is 8 feet deep at ground level ⇒ 3rd answer

Step-by-step explanation:

The form of the quadratic function is y = ax² + bx + c, where

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the y-intercept (at x = 0)

The vertex point of the quadratic is (h , k), where h=\frac{-b}{2a}

and k is the value of y when x = h

The table:

→  x  :  -2   ,  0  ,  2

→  y  :  -6   , -8  ,  -6

∵ x represents distance from hole's center in feet

∵ y represents the depth from level ground

∴ The quadratic function is y = ax² + bx + c

∵ c is the value of y at x = 0 ⇒ y-intercept

- From the table at x = 0 ⇒ y = -8

∴ c = -8

- Substitute its value in the function model

∴ y = ax² + bx - 8

- To find the values of a and b substitute x and y in the model by

   the coordinates of the point in the table

∵ x = -2 and y = -6

∴ -6 = a(-2)² + b(-2) - 8

∴ -6 = 4a - 2b - 8

- Add 8 to both sides

∴ 2 = 4a - 2b

- Switch the two sides

∴ 4a - 2b = 2 ⇒ (1)

∵ x = 2 and y = -6

∴ -6 = a(2)² + b(2) - 8

∴ -6 = 4a + 2b - 8

- Add 8 to both sides

∴ 2 = 4a + 2b

- Switch the two sides

∴ 4a + 2b = 2 ⇒ (2)

Now we have a system of equation to solve it

Add equations(1) and (2) to eliminate b

∵ 8a = 4

- Divide both sides by 8

∴ a = 0.5

- Substitute value of a in equation (1) or to to find b

∵ 4(0.5) + 2b = 2

∴ 2 + 2b = 2

- Subtract 2 from both sides

∴ 2b = 0

- Divide both sides by 2

∴ b = 0

Substitute the values of a and b in the function model

∴ y = 0.5x² + (0)x - 8

∴ y = 0.5x² - 8

∵ y represents the depth from level ground

∵ The vertex of the function model is (h , k)

∴ The deep of the hole at ground level is the value of k

∵ h=\frac{-b}{2a}

∴ h=\frac{-(0)}{2(0.5)}

∴ h = 0

∵ k is the value of y when x = h

- From the table at x = 0 ⇒ y = -8

∴ k = -8

- Ignore the sign (-) because the k represents the depth of the

  hole in feet

∴ The deep of the hole at ground level is 8 feet

The hole is 8 feet deep at ground level

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

4 0
3 years ago
What is the 5% sales tax on a $14.00 compact disc
natima [27]
5% sales tax would be $0.70
4 0
3 years ago
Read 2 more answers
There’s more options but what’s the answer for now
mel-nik [20]
<h3><u>Answer</u><u>:</u><u>-</u></h3>

\sqrt[3]{125x^{12}y^6}\\\\\\ \to \sqrt[3]{(5x^{4}y^{2})^{^{3}}}\\\\\\ \to 5x^4y^2

4 0
2 years ago
16 points - Question in photo!
storchak [24]

5.394e+13 hope this helps

6 0
3 years ago
Read 2 more answers
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