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Volgvan
3 years ago
12

Which point on the number line represents the product (-4 )(-2)(-1)​

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

<em>Shown in the image</em>

Step-by-step explanation:

<u>The number line</u>

It's a graphic representation of the real numbers, usually centered at the value 0 and where the positive numbers running to the right, the negative numbers running to the left.

The product (-4)(-2)(-1) can be operated by multiplying the signs apart from the magnitudes. Recall an odd number of negative signs results in a negative number:

(-) * (-) * (-) = -

The product of the magnitudes is 4*2*1=8. Thus the result is -8.

The representation of this number is shown in the image below.

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4<br>-5a+b=8<br>7a +9b = -32<br>I need to use substitution for this one. Help?​
Sauron [17]

Answer:

<h2>a = -2, b = -2 </h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-5a+b=8&\text{add}\ 5a\ \text{to both sides}\\7a+9b=-32\end{array}\right\\\\\left\{\begin{array}{ccc}b=5a+8&(1)\\7a+9b=-32&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\7a+9(5a+8)=-32\qquad\text{use the distributive property}\\\\7a+(9)(5a)+(9)(8)=-32\\\\7a+45a+72=-32\qquad\text{subtract 72 from both sides}\\\\52a=-104\qquad\text{divide both sides by 52}\\\\\boxed{a=-2}\\\\\text{Put the value of}\ a\ \text{to (1):}\\\\b=5(-2)+8\\\\b=-10+8\\\\\boxed{b=-2}

8 0
3 years ago
Using the diagram as marked, find the length
Anon25 [30]

just a quick note, that triangle is misleading some, since the HG side of 6 units, shows longer than GE which is 8, and of course 8 > 6.

Since GE is a perpendicular bisector, that means the angle at G is 90°.

Check the picture below.

6 0
4 years ago
The table shows the heights of 40 students in a class.
My name is Ann [436]

Answer:

see below

Step-by-step explanation:

There are 7 students between 120 and 124 so take the median of 122

Multiply the number of students by the median

7 * 122 =854

There are 8 students between 124 and 128 so take the median of 126

Multiply the number of students by the median

8 * 126 =1008

There are 13 students between 128 and 132 so take the median of 130

Multiply the number of students by the median

13 * 130 =1690

There are 9 students between 132 and 136 so take the median of 134

Multiply the number of students by the median

9 * 134=1206

There are 3 students between 136 and 140 so take the median of 138

Multiply the number of students by the median

3 * 138 =414

To find the mean, take the total weight and divide by the number of students

(854+1008+1690+1206+414) = 5172 lbs

7+8+13+9+3 = 40 students

5172/40 =129.3 lbs for the average

This is an estimate because we do not know that the number of students in each category will weight the median on average.  We use the mean as an estimate of their weight.  The median is the middle number of the category.

6 0
3 years ago
A book fair worker needs to place 2,204 books on displays with 58 books on each display how many displays are needed to hold all
Akimi4 [234]
The answer is 38 because:

2204/58=38
7 0
3 years ago
For what value of c does the quadratic equation -2x^2 + 12x - c = 0 have exactly one real solution?
lozanna [386]

Answer:

c=-18

Step-by-step explanation:

Check out the attached photo!

Feel free to ask anything in comments!

5 0
3 years ago
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