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Nady [450]
3 years ago
9

Which expression represents, five times the quotient of two numbers?

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

0 5(5)

Step-by-step explanation:

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Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heart
umka2103 [35]
<span>Let x be Joanna's heart rate immediately after running one mile. After this heart rate x decreased by 2 over 5, Joanna's heart rate was 60 beats per minute. We can set up an equation to solve this question. x - (2/5) x = 60 (3/5) x = 60 x = (5/3) 60 x = 300 / 3 x = 100 Joanna's heart rate immediately after running one mile was 100 beats per minute.</span>
8 0
3 years ago
Find a third degree polynomial function with real coefficients and with zeros 4 and 3+i
Anvisha [2.4K]
X = 4 ; x = 3 + i ; x = 3 - i

(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)

f(x) = (x-4)(x-3-i)(x-3+i)

Distributing the last two parenthesis first is always the best way to start off

(x-3-i)(x-3+i) has (x-3) in common so it can be separated to

(x-3)^2 + (-i)(+i)

(x^2 - 6x + 9) ; (-i)(+i) is always +1
(x^2 - 6x + 9) + 1
(x^2 - 6x + 10)

Now multiply this with (x-4)
x^3 - 6x^2 + 10x
- 4x^2 + 24x - 40

x^3 - 10x^2 + 34x - 40 = f(x)

3 0
3 years ago
A rectangular garden has an area of 24 square meters. The width is 8 meters less than twice the length. Find the dimensions of t
OLEGan [10]

Answer:

Length: 6 m

Width: 4 m

Step-by-step explanation:

Area: 24 m^{2}

Width: 2L - 8 m

Length: ?

Formula: A = W * L

Replace the variables:

24 = (2L - 8) * L

24 = 2L^{2} - 8L

0 = 2L^{2} - 8L - 24

or

2L^{2} - 8L - 24 = 0

Solve; if you don't know how to solve it using this method, let me know. It's the expression Ax^{2} +Bx+C

1. 2 (\frac{(2L^2 - 8L - 24)}{2})

2. \frac{(2L)^2 - 8(2L) - 48}{2}

3. \frac{(2L - 12)(2L + 4)}{2}

4. 2(\frac{(L - 6)(2L + 4)}{2})

5. (L-6) (2L+4)

6. L-6 = 0 AND 2L+4 = 0

L - 6 =0

L = 6

---------------------------------

2L = -4

L = \frac{-4}{2}

L = -2

Since the length cannot be negative, the only real value is 6.

Area: 24 m^{2}

Width: 2L - 8 m

Length: 6 m

Calculate width:

W = 2L - 8

W = 2(6) - 8

W = 12 - 8

W = 4 m

3 0
3 years ago
If f(x) is a linear function, f( - 1) = 5, and f(2) = 3, find an equation for 8 (2)<br> =<br> f(x) =
Leno4ka [110]
5
—————————————————————————-
3 0
3 years ago
What is the area of a triangle whose base is 15 centimeters and whose height is 10 centimeters
Kazeer [188]

Answer:

75

Step-by-step explanation:

o find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

7 0
3 years ago
Read 2 more answers
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