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suter [353]
2 years ago
12

4. Which graph represents the solution to -2<3x+1 ?​

Mathematics
1 answer:
dalvyx [7]2 years ago
8 0

Hey there!

-2<3x+1

= 3x + 1 < -2

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 < -2 + 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: -2 + 1 because that helps you solve for x

-2 + 1 = -3

New EQUATION: 3x > -3

DIVIDE 3 to BOTH SIDES

3x/3 > -3/3

CANCEL out: 3/3 because that gives you 1

KEE3 -3/3 because that helps us compare for x

-3/3 = -1

Answer to the equation: x > -1

OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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D, because a histogram does not show individual data points
5 0
3 years ago
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

7 0
2 years ago
Can someone help me with this problem
Romashka [77]

Step-by-step explanation:

Find the slope of JK by the formula :y2-y1/(x2-x1) whose value is 4/5

similarly, calculate the slope of GH it's value is also 4/5

Find slope of GK now by same formula y2-y1/( x2-x1 ).the value will be -5/3

Similarly calculate slope of HJ and you will get its value to be -5/3

since parallel lines have equal slopes JK and GH are parallel and GK and HJ are parallel. Since opposite sides are parallel GHJk is parallelogram

5 0
2 years ago
Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?​
amid [387]

Answer:

Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.

4 0
2 years ago
Read 2 more answers
Use the factor tree to find the prime factorization of 100.
Stolb23 [73]

Answer:

2 x 2 x 5 x 5

.....,..........

8 0
3 years ago
Read 2 more answers
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