Answer:
i do not see a picture or an image of what you need.
Step-by-step explanation:
The slope is 1, you can see as it goes right one it goes up one, so the rise/ run would be 1
ANSWER: 1
There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.
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B = your brother's age
S = your sister's age
Y = your age
All of these ages are current present day ages.
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"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.
"Your sister is 6 years older than your brother" so S = B+6
"Your sister is 10 years old" so S = 10.
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S = B+6
B+6 = S
B+6 = 10 ... plug in S = 10
B+6-6 = 10-6 ... subtract 6 from both sides
B = 4
Your brother is 4 years old.
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B = Y/3
Y/3 = B
Y/3 = 4 .... plug in B = 4
3(Y/3) = 3*4 ... multiply both sides by 3
Y = 12
<h3>Answer: Your age is 12 years old.</h3>
note: This answer hinges on assumption that the "1313" should be "1/3".
3. The correct answer is 2) 3m² - 6.
(2m² + 3m - 4) + (m² - 3m - 2) Given
2m² + m² These numbers are like terms, because they both end in m².
3m² Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).
3m + (-3m) These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0 Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.
-4 + (-2) These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6 -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.
3m² - 6 Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.
5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.
Hope this helps!
Perform indicated multiplication on left side first...
-5x-35<-10 add 35 to both sides
-5x<25 divide both sides by -5 (you must reverse sign because of division by a negative value too!)
x>5 or if you prefer...
x=(5, +oo)
