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lys-0071 [83]
3 years ago
5

determine the solution to the system of equations graphed below and explain your reasoning g(x)=3x+2 f(x)=|x-1|+1​

Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

Answer:

(0, 1)

Step-by-step explanation:

To find the solution to these 2 functions, we just set up an equation where they're equal to each other:

3x+2 = |x-1|+1

Then, isolate the absolute value:

3x+1 = |x-1|

Now, to get rid of the absolute value sign, we can set the right-hand side to be the positive or negative version of itself.

First, let's set it to the negative version of itself:

3x+1 = -x+1

4x = 0

x = 0

Then, let's set it to the positive version of itself:

3x+1 = x-1

2x = -2

x = -2

We can now plug the x as 0 and -2 into any of the 2 equations above to find the solution for y:

3(0)+1 = 1, so the first solution will be (0, 1)

3(-2)+2 = -4.

You might be tempted to say that -4 is the y value for the 2nd solution, but notice that |x-1| will never be less than 0, so that would not work. Therefore, x = -2 isn't a solution either, which means it's an extraneous solution.

In conclusion, the solution to these equations is (0, 2).

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Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each),
babunello [35]

Answer:

A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.

Step-by-step explanation:

The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.

In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.

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On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.

Read to know more about this

brainly.com/question/15802533?referrer=searchResults

#SPJ10

4 0
2 years ago
The elephant eats 220 pounds of food a day costing $45. The tax on the food is 12%. How much does the zoo spend on elephant food
professor190 [17]

Answer:

$50.4

Step-by-step explanation:

12% of 45 is 5.4

5.4 + 45 = 50.4

Hope I helped! Have a great day :)

4 0
3 years ago
Mimo sper 56.24 for a new binder $195 for a notebook, and
viktelen [127]

Answer:

251.24$

Step-by-step explanation:

In order to find the answer to this question you just need to add the total cost together.

What we do know:

B=56.24

NM=195

56.24+195=251.24

=251.24

Hope this helps.

7 0
3 years ago
Read 2 more answers
Scientists researching the effect of dietary supplements such as multivitamins and supplements of folic acid, magnesium or zinc
yarga [219]

Answer: Null hypothesis : H_0: p_1=p_2

Alternative hypothesis : H_a: p_1\neq p_2

Step-by-step explanation:

Let p_1 be the proportion of women using supplements and p_2 be the proportion of women who did not to have died during that period .

Then the set of hypothesis for testing if the proportion of women elderly women who use dietary supplements is different than those who do not will be :-

Null hypothesis : H_0: p_1=p_2     [∵ it takes equality sign]

Alternative hypothesis : H_a: p_1\neq p_2    [∵ it takes ≠ sign to show difference]

6 0
3 years ago
Is 16x^2-36x+25^2 a perfect Square trinomial
yulyashka [42]

Answer:

No, middle term should be 40x.

Step-by-step explanation:

16 {x}^{2}  - 2 \times 4x \times 5 +  {25}^{2}  \\   =  {(4x)}^{2}  - 40x +  {5}^{2}  \\  = (4x - 5)^{2}  \\

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

6 0
3 years ago
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