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2 years ago

What is the ratio between 1350 and 3600

Mathematics

1 answer:

Usimov [2.4K]2 years ago

7 0

Answer:

3:8

Step-by-step explanation:

1350:3600

This can be simplified by 10

135:360

This can be simplified by 5

27:72

This can be simplified by 9

3:8

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The graph of F ( x ) = 4/x2 - 2x - 3 is shown <br> for which values of X is f ( x ) decreasing

Elza [17]

Hi there!

$\large\boxed{(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty) }$

We can find the values of x for which f(x) is decreasing by finding the derivative of f(x):

$f(x) = \frac{4}{x^2} - 2x - 3$

Taking the derivative gets:

$f'(x) = -\frac{8}{x^3} - 2$

Find the values for which f'(x) < 0 (less than 0, so f(x) decreasing):

0 = -8/x³ - 2

2 = -8/x³

2x³ = -8

x³ = -4

$x = \sqrt[3]{-4}$

Another critical point is also where the graph has an asymptote (undefined), so at x = 0.

Plug in points into the equation for f'(x) on both sides of each x value to find the intervals for which the graph is less than 0:

f'(1) = -8/1 - 2 = -10 < 0

f'(-1) = -8/(-1) - 2 = 6 > 0

f'(-2) = -8/-8 - 2 = -1 < 0

Thus, the values of x are:

$(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty)$

6 0

2 years ago

10) The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 1. What PERCENT of the class is girls

klio [65]

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

7 0

1 year ago

What is –9. 2(8x – 4) 0. 7(2 6. 3x) simplified? –69. 19x – 32. 39 –69. 19x 38. 2 –72. 2x 41. 21 75x – 338. 2.

trasher [3.6K]

The simplified form of the equation is $\rm -69.19x+38.2$ .

<h2>Given that</h2>

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>We have to determine</h3>

The simplified form of the equation;

<h3>According to the question</h3>

To determine the simplified form of the equation following all the steps given below.

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>To simplify the equation multiple the terms and solve.</h3>

Then,

The simplified form of the equation is,

$\rm =-9.2(8x - 4) + 0.7(2 + 6.3x)\\
\\
= (-9.2) (8x)- (-9.2)(4) + (0.7)(2) + (0.7) (6.3x)\\
\\
=-73.6x -(-36.8) +(1.4)+(4.41x)\\
\\
= -73.6x+36.8+1.4+4.41x\\
\\
=-69.19x+38.2$

Hence, The simplified form of the equation is $\rm -69.19x+38.2$ .

To know more about Equation click the link given below.

brainly.com/question/26252222

3 0

2 years ago

Help me on this question! Jake can carry 6 1/4 pounds of wood in from the barn.His father can carry 1 5/7 times as much as jake.

ioda

$\text{ Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }$

<em><u>Solution:</u></em>

From given question,

Number of pounds Jake carry = $6\frac{1}{4} \text{ pounds }$

Number of pounds his father carry is $1\frac{5}{7}$ times as much as jake

To find: Number of pounds Jake father can carry

<em><u>Convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

$\rightarrow 6\frac{1}{4} = \frac{4 \times 6+1}{4} = \frac{25}{4}\\\\\rightarrow 1\frac{5}{7} = \frac{7 \times 1+5}{7} = \frac{12}{7}$

<em><u>Then according to question,</u></em>

$\text{Pounds father carry } = \frac{12}{7} \text{ times the pounds jake carry }\\\\\text{Pounds father carry } = \frac{12}{7} \times \frac{25}{4}\\\\\text{Pounds father carry } = \frac{75}{7}\\\\\text{In terms of mixed fractions, }\\\\\text{Pounds father carry } = \frac{75}{7} = 10\frac{5}{7}$