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loris [4]
3 years ago
14

What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

Mathematics
1 answer:
inn [45]3 years ago
8 0
<h3><u>Explanation</u></h3>
  • Modulus Function

y = a |x  - h|  + k

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

The value of k determines the vertical shift of the graph.

From the given equation,

f(x) =  |x - 2|  - 7

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

<h3><u>Answer</u></h3>

<u>\large{(2,-7)}</u>

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Find the missing exponent.<br><br>(x^4)^?=x^12
Julli [10]

Answer: 3   (Finished equation would look like  (x^{4})^{3}= x^{12} )

Step-by-step explanation: to find answer, divide 12 by 4 and the answer will be 3. 3 is the answer because 3 times 4 equals 12.

5 0
3 years ago
Pleaseeee help me i have very little time
VashaNatasha [74]

Answer:

212 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

7 0
3 years ago
Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yield
slamgirl [31]

Answer:

a). Lila collected 7/6 gallon in all.

b). She used for baking 5/12 gallon.

c) was left 1/3 gallon of honey

D) She used 3/8lb flour to make the brownies.

Step-by-step explanation:

a). Lila collected 7/6 gallon in all.

\frac{2}{3} +\frac{1}{4} +\frac{1}{4} \\

LCM=3*4=12

\frac{8+3+3}{12}=14/12=7/6

b). She used for baking 5/12 gallon.

She had 7/6 gallon of honey. She used 3/4 gallon for baking. To know how much honey was left, you have to substract 3/4 gallon from the total available honey 7/6 gallon.

\frac{7}{6}-\frac{3}{4}

You need to find LCM to substract fractions with different denominator:

LCM=12

\frac{14-9}{12}=\frac{5}{12}

c) was left 1/3 gallon of honey

To know how much honey was left you need to substract from the initial quantity of honey that is 3/4 gallon, the quantities used for baking, that are 1/6 gallon and 1/4 gallon.

Less common multiple: 12

\frac{3}{4}-\frac{1}{6} -\frac{1}{4}

We use LCM 12 to substract:

\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}

D) She used 3/8lb flour to make the brownies.

You know she used 1/2 lb flour to make the bread and to make cookies 1/8 more. So you need to do following math:

d)\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}

She used 5/8 to make cookies and she used 1/4 more to make cookies than brownies, then you have to do following math;

\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}

5 0
3 years ago
What is the 3rd term in the sequence and how do you set it up
ra1l [238]

Answer:

135

Step-by-step explanation:

Using the given recursive rule, then

a_{2} = a_{1} (- 9) = \frac{5}{3} (- 9) = - 15

a_{3} = a_{2} (- 9) = - 15 × - 9 = 135

8 0
4 years ago
Alban drove 1200 miles in 30 hours. What was his rate of travel in miles per hour?
saul85 [17]
Your answer is 40. Simply divide 1200 by 30 and you will get 40.
4 0
3 years ago
Read 2 more answers
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