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makkiz [27]
2 years ago
12

Convert the following into a FRACTION GREATER THAN 1. (Improper fractions) 3 3/7 & 3 5/6

Mathematics
1 answer:
Igoryamba2 years ago
7 0

Answer:

1.\frac{24}{7}
2.\frac{21}{6}

Step-by-step explanation:

Given the following questions:

3\frac{3}{7} \\3\frac{5}{6}

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

<u>Question one:</u>

3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}

<u>Question two:</u>

3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}

Your answers are "24/7, and 21/6."

Hope this helps.

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Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -62 -30 -14 -6 -2 Function g i
Novosadov [1.4K]

based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.

<h3 /><h3>what function is increasing faster?</h3>

function g is represented by the model:
g(x) = -18 x (1/3)^x + 2

g(x)=-18(1/3)^x In(1/3)

In1/3 < 0

this means that:

g (x) > 0

for any interval, g(x) > f(x)

this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.

find out more on exponential functions at brainly.com/question/2456547.

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8 0
3 years ago
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Step-by-step explanation:

6 0
3 years ago
F(-8) if (x) = -6x - 11?<br>​
finlep [7]

Answer:

37

Step-by-step explanation:

plug in -8 into the equation

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37

3 0
4 years ago
Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution
Blababa [14]

Answer:

If you mean only one rational solution, the answer is

k_1 = 8, k_2 = -8

If you mean at least 1 rational solution, the answer is

k\in (-\infty, -8]\cup[8, \infty)

Step-by-step explanation:

4x^2 + kx + 4 = 0

Let's calculate the discriminant.

\Delta = b^2 - 4ac

\Delta = k^2 -4 \cdot 4 \cdot 4

\Delta = k^2 -64

Now, remember that:

\text{If } \Delta > 0 : \text{2 Real solutions}

\text{If } \Delta = 0 : \text{1 Real solution}

\text{If } \Delta < 0 : \text{No Real solution}

Therefore, I will just consider the first two cases.

k^2 - 64 > 0

and

k^2 -64 = 0

\boxed{\text{For } k^2 - 64 > 0}

k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64}   \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)

\boxed{\text{For } k^2 - 64 = 0}

k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8

7 0
3 years ago
David is making his own strawberry yogurt. In his mixture, the number of strawberries is proportional to the amount of milk in c
ratelena [41]
To determine the amount of milk that David should be adding, we need to generate and expression that would relate the number of strawberries and the number of cups. From the problem statement, it is said that the number of strawberries is directly proportional to the number of cups of milk. We write it as:

X α Y        where X represents the number of strawberries and Y represents the number of cups of milk

To get rid of the proportionality sign, we introduce a proportionality constant k. We calculate this by using the initial conditions given.

X = kY

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14 = k(5/2)
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At X = 203

X = kY
203 = 28/5 (Y)
Y = 145/4  or 36 1/4 cups of milk needed</span>
5 0
3 years ago
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