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Colt1911 [192]
3 years ago
15

Mr.king used 16 gallons of gas in 5 days. How much gallons of gas did gas mr king use per day

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0
He would use 3.2 gallons a day. All you need to do is use the calculator app and divide 16 and 5 to get 3.2. Hope this helps!!
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Determine whether the following event is mutually exclusive or not mutually exclusive.
Softa [21]

Answer:

The event is mutually exclusive.

Step-by-step explanation:

Mutually exclusive events are events that cannot exist simultaneously.

Thus, events that are not mutually exclusive can exist simultaneously.

Since each student only has one major, a single student cannot be both a mathematics major and a business major.

So, the event is mutually exclusive.

5 0
3 years ago
15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Trapezoid p is the image of trapezoid P after a translation. Y 7+ . р на дъл от - 1 -7-6-5-4-3-2-1 -2+ 11 2 3 4 5 6 7 1 PY 1 - -
zavuch27 [327]

Answer:

C. 8 units right and 5 units down

Step-by-step explanation:

since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5

3 0
2 years ago
Find the sum of -75 and 105​
Elan Coil [88]

Answer:

Sum is 30

Explanation:

6 0
3 years ago
Read 2 more answers
What is the probabilit<br> spinning an A?<br> В В<br> A А B<br> СА<br> СС<br> [?]
tekilochka [14]
25% chance because there are 8 total “slices” and there are 2 A’s.
2/8=1/4=25%
7 0
2 years ago
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