Which equation matches the graph of the greatest integer function given

What is the power of 10 when 0.000028 is written in scientific notation

mezya [45]

-5 as that you would have to count that places to the left. You end decimal would have to be between 1 and 10, so it would not count the 8. I'm sorry if my explanation is not good, but that is the right answer

3 0

3 years ago

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How do you complete this task?

Assoli18 [71]

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

3 0

2 years ago

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Determine the value of base b if (152)b = 0x6A. Please show all steps.

DaniilM [7]

Assuming 0x6A is given in base 16, first convert $152_b$ and $6A_{16}$ to a common base, say base 10:

$152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}$

$6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}$

Then

$b^2+5b+2=106$

$b^2+5b-104=(b-13)(b+8)=0$

$\implies b=13$

3 0

3 years ago

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Which graph represents the solution<br><br>8 - 3x ≥ -4

Vedmedyk [2.9K]

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

6 0

1 year ago

According to the graph, what is the value of the constant in the equation

wolverine [178]

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Step-by-step explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

$\textrm{Constant}=\frac{Height}{Width}$ ------------- (1)

The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.

The four points plotted on the line are:

$(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6)$ .

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

$\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2$

Also, we observe that for all the remaining points,

$\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2$ .

Hence, the value of the constant is 3.2.

Option (D) is correct.

4 0

3 years ago