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Oksanka [162]
3 years ago
15

What is the vertex of y=3|x+1|-2

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

(-1,-2)

Step-by-step explanation:

Generally, the absolute value function can be expressed like so:

f(x) = y = a|x-h|+k, where vertex: (h,k)

Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)

So the vertex is at (-1,-2)

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The Sine Function
densk [106]

Answer:

C. Wave-like and repetitive

Step-by-step explanation:

I calculated it logically

8 0
3 years ago
Suppose that y varies directly with x and y=10 when x=20. What is y when x=15
Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
4 0
3 years ago
Betsy was in a car accident. Her monthly insurance payment of $225 will now be increased by 25%. How much will her monthly payme
sleet_krkn [62]

Answer:

281.25 that is the answer

5 0
3 years ago
What is what is the anwser 34.78x0.12
maks197457 [2]

Answer: 4.1736

Step-by-step explanation:

Simply multiply 34.78 and 0.12 together.

Correct me if I am incorrect

4 0
2 years ago
Read 2 more answers
The snowboard Hannah wanted originally cost $109.It had been marked down 10% and then another 12%. A tax of 6% was added to the
lara [203]

Take 10% of the snowboard price.

10% = 0.1

109 * 0.1 = $10.90 (10% discount)

109 - 10.9 = $98.10 (Price with discount).

Take 12% of the new snowboard price.

12% = 0.12

98.1 * 0.12 = 11.772 (Round to 11.77)

98.10 - 11.77 = $86.33 (Final discounted price)

Take 6% tax on the new snowboard price.

6% = 0.06

86.33 * 0.06 = 5.1798 (Round to 5.18)

86.33 + 5.18 = $91.51

______

After solving Hannah doesn't have enough money to buy the snowboard.

______

Best Regards,

Wolfyy :)

5 0
4 years ago
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