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2 years ago

Without calculating, would 0.4+(2+0.6) be less than , greater than, or equal to 3? Explain.

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

It would be greater than three because it is addition and when you add it is to increase not decrease. good luck!

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Which function is increasing at the highest rate?

prisoha [69]

Answer:

Option B: $12x - 6y = -24$

Step-by-step explanation:

A function is said to be increasing if it has a slope greater than 0.

The function with the largest slope has the highest increasing rate.

Here, for the graph in option A, the function is decreasing with increasing $x$ . So, it has a negative slope.

We need to convert equation of option B into standard form and then determine its slope.

The standard form of a straight line is $y = mx + b$ , where $m$ is the slope of the line and $b$ is the y-intercept.

Now, given function is:

$12x - 6y = -24\\ 6y = 12x + 24\\ y = \frac{12}{6}x+\frac{24}{6}\\ y = 2x + 4$

Therefore, the slope is 2.

Option C:

Slope is given as,

$m_{C}=\frac{g(x_{2}-g(x_{1})}{x_{2}-x_{1}} =\frac{-4-(-5)}{2-1}=\frac{-4+5}{1}=1$

Therefore, the slope is 1.

Option D:

Equation of a line with $a$ and $b$ as $x$ and $y$ intercepts is given as,

$\frac{x}{a}+\frac{y}{b}=1$

Here, $a = 8$ and $b = -4$

∴ $\frac{x}{8}+\frac{y}{-4}=1\\ \frac{x-2y}{8}=1\\ x-2y=8\\ 2y=x-8\\y=\frac{1}{2}x-4$

Therefore, the slope is $\frac{1}{2}$ .

Hence, the largest slope is for option B and thereby the highest increasing rate.

4 0

2 years ago

Write 10 9 as a decimal. Round to the nearest thousandth if necessary.

svet-max [94.6K]

Answer:

If you mean 10/9 then the answer should be 1.1 repeating itself

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What

Alexeev081 [22]

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

6 0

2 years ago

1/4 plus 1/6 in simplest terms

Tasya [4]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

$\frac{1}{4}+\frac{1}{6}\\\\=\frac{3}{12}+\frac{2}{12}\\\\=\frac{5}{12}$

7 0

2 years ago

Read 2 more answers

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago