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katen-ka-za [31]
3 years ago
12

Given the function f(x) = 4|x – 5| + 3, for what values of x is f(x) = 15?

Mathematics
2 answers:
Elis [28]3 years ago
4 0
<span>4|x – 5| + 3 = 15
</span><span>4|x – 5| = 12
|x - 5|=3
x=8 or x=2</span>
Gre4nikov [31]3 years ago
4 0

Answer: A,. x=2, x=8

Step-by-step explanation:


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Find two consecutive whole numbers that the square root of 105 lies between
erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

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3 years ago
4.2×10 to the negative 2 power divided by 2×10 to the 2nd power
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8.4 is the answer i believe
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Help me please with this I will give brainliest
MAVERICK [17]

Answer:

1. 18

2. 72

3. 90%

Step-by-step explanation:

For number 1

To find percentage you multiply the total number of kids with the percentage.

To do this you have to convert the percent into a decimal by moving the dot 2 times from its original location Ex. 20% = .20 as 20 would look like 20.00 in decimal form.

So .20 x 90 = 18

For number 2

Subtract 18 and 90 to find the remanding kids

For number 3

Divide 72 and 90. Make sure the lower number is being divided.

The answer you will get is .8 so move the decimal back two times because you are converting it to a percentage."

You will then get 80.00 as an answer then from there turn it to a percentage

80%

Hope this helps!

8 0
3 years ago
the area of a rectangular back yard is given by the trinomial b^2+5b-24. What are possible dimensions of the backyard?
yanalaym [24]
B^2+5b-24 Using the AC method for factoring (b+8)(b-3)
4 0
3 years ago
In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
Dmitry_Shevchenko [17]

Answer:

a_{10} = \frac{10}{65536}

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

a_{3} - a_{2} = a_{2} - a_{1}

We have that:

a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}

a_{3} - a_{2} = a_{2} - a_{1}

\frac{5}{2} - 10 = 10 - 40

\frac{-15}{2} \neq -30

This is not an arithmetic sequence.

This sequence is geometric if:

\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}

\frac{\frac{5}[2}}{10} = \frac{10}{40}

\frac{5}{20} = \frac{1}{4}

\frac{1}{4} = \frac{1}{4}

This is a geometric sequence, in which:

The first term is 40, so a_{1} = 40

The common ratio is \frac{1}{4}, so r = \frac{1}{4}.

We have that:

a_{n} = a_{1}*r^{n-1}

The 10th term is a_{10}. So:

a_{10} = a_{1}*r^{9}

a_{10} = 40*(\frac{1}{4})^{9}

a_{10} = \frac{40}{262144}

Simplifying by 4, we have:

a_{10} = \frac{10}{65536}

3 0
4 years ago
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