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gavmur [86]
3 years ago
5

18 ÷ 0.25? middle school math​

Mathematics
1 answer:
Natali [406]3 years ago
8 0
18 divided by 0.25 is 72
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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
Who Washes? Erica and Aaron, who are siblings, have decided to use a lottery system to decide who will wash dishes every night.
Anestetic [448]

Given that Erica and AAron,are using lottery system to decide who will wash dishes every night.

They put some red and blue power chips and draw each one.  If same colour, Aaron will wash and if not same colours Erica will wash

If the game is to be fair, then both should have equal chances of opportunity for washing.

i.e. Probability for Erica washing = Prob of Aaron washing

i.e. P(different chips) = P(same colour chips)

Say there are m red colours and n blue colours.

Both are drawing at the same time.

Hence Prob (getting same colour) = (mC2+nC2)/(m+n)C2

Probfor different colour = mC1+nC1/(m+n)C2

The two would be equal is mC2 +nC2 = m+n

This is possible if mC2 =m and nC2 = n.

Or m = 2+1 =3 and n =3

That for a fair game we must have both colours to be 3.


3 0
3 years ago
what is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}? a. {1, 3, 5, 7, 9} b. {1, 3, 5, 7} c. {1, 9} d. {3, 5, 7,
Papessa [141]
B. 1, 3, 5, and 7 are x values. Domain is the x value.
6 0
3 years ago
Someone please help me with #15
harina [27]

Answer:

b. A year and a half

Step-by-step explanation:

First, we can find the total cost

1512+263=1775

Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.

\frac{1775}{50} =35.5 months

This is very close to 36 months, which is <u>A year and a half</u>.

6 0
3 years ago
Rotate triangle P 90° clockwise about the point (2, -1).<br>​
dlinn [17]

Answer:

Step-by-step explanation:

If we are rotating about the point (2,-1) , then we first need to translate the triangle two points to the left so that point P is at location (2,-1). Once we have that we rotate everything 90 degrees clockwise, while maintaining the same distance and angles between each point in the triangle. After doing this we will get the triangle seen in the attached picture below. Which is fully rotated 90 degrees clockwise about the point (2,-1)

3 0
3 years ago
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