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balu736 [363]
3 years ago
5

Please answer my question

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Interval notation uses parenthesis and brackets, while inequality notation uses inequality symbols.

a)

Interval notation: [-4, 8)

Inequality notation: -4\leq x

x >= -4, x < 8

---For inequality notation, it can also be written as two separate inequalities. I am not sure what your teacher is looking for, so I will provide both the compound and separate formats.

b)

Interval notation: (-infinity, 7)

Inequality notation: x < 7

c)

Interval notation: (-infinity, -6) U (0, infinity)

Inequality notation: -6> x \geq 0

x < -6, x >= 0

Hope this helps!

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If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.
Yuki888 [10]

Answer:

{1,3,5,7,9,11}

Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

(The dots mean it continues with that pattern forever and ever.)

And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

8 0
3 years ago
Read 2 more answers
A taxi costs 1.65 for the first mile and 0.85 for each additional mile. Which equation could be solved to find the number x of a
diamong [38]
1.65 + 0.85x= $20
           0.85x=$18.35
                 x=21 10/17 
first you write the equation 
then you have to subtract 1.65 from the equation but you also have to subtract it from 20 
then you divide 0.85 from 0.85x and from the 18.35 left over from subtracting 1.65 from 20 
then you should get x=21 10/17 (simplified) but the decimal form is a ongoing fraction so you can just round it up to the nearest hundredth 
5 0
3 years ago
Find Each Sum.<br> (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
tia_tia [17]
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.

<span>(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) 
(-4c</span>² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
6 0
3 years ago
Daniel is dring a truck at a constant speed. The table shows the distance traveled depending on time.
Alona [7]

Answer:

A,D,F

Step-by-step explanation:

if he drives 90 in 2 hours then in one hour its 45. 45 times 2 is 90. 45 times 3 is 135. 45 times 4 is 180. 45 times 5 is 225. 45 times 6 is 270. 45 times 7 is 315. and 45 times 8 is 360.

4 0
3 years ago
What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

4 0
3 years ago
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