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Setler79 [48]
2 years ago
12

Graph: y = 4x + 7. ​

Mathematics
2 answers:
Stels [109]2 years ago
7 0

Answer:

See Graph Below

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

For the graph, simply make your first point at 7 (the y-intercept) and then move 4 y's up for every x.

For the Domain: The answer would be all real numbers because you can plug any real number into x and the equation would be solvable.

For the Range: The answer would be all real numbers because there is no y that is impossible to reach via x.

Oksana_A [137]2 years ago
6 0

Answer:

the points are (0,7) and (-1.75, 0)

Step-by-step explanation:

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64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?
nordsb [41]

Answer:

\boxed{a_n \:  =  \: 64 \:  \times  \: ( -  \frac{3}{4} ) ^{n \:  -  \: 1} }

Step-by-step explanation:

  • We first compute the ratio of this geometric sequence.

r \:  =  \:  \frac{ - 48}{64}  \\  \\ r   \:  =  \:  \frac{36}{ - 48}  \\  \\  r \:  =  \:  \frac{ - 27}{36}

  • We simplify the fractions:

r \:  =  \:   -  \frac{3 }{4}   \\  \\ r   \:  =  \:   -  \frac{3 }{4}  \\  \\  r \:  =  \:    -  \frac{3 }{4}

  • We deduce that it is the common ratio because it is the same between each pair.

r \:  =  \:  -  \frac{3 }{4}

  • We use the first term and the common ratio to describe the equation:

a_1 \:  =  \: 64; \: r \:  =  \:  -  \frac{3 }{4}

<h3>We apply the data in this formula:</h3>

\boxed{a_n \:  =  \: a_1 \:   \times  \:  {r}^{ n \:  -  \: 1} }

_______________________

<h3>We apply:</h3>

\boxed {\bold{a_n \:  =  \: 64 \:   \times  \:  {( -  \frac{3}{4} )}^{ n \:  -  \: 1} }}

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>
4 0
2 years ago
Which inequality is represented by this graph?
svetlana [45]

Answer:

d definetly d

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
2 years ago
Edwin deposited money into a savings account that pays a simple annual interest rate of 1.4%. He
mafiozo [28]
<h3>The deposited sum of money by Edwin is $350.</h3>

Step-by-step explanation:

Let us assume that the amount deposited  = P

The rate of interest  = 1.4%

The Simple Interest earned  = $24.50

Time  = T = 5 years

Now, as we know:

SIMPLE INTEREST  = \frac{P \times R \times T}{100}

\implies 24.50  = \frac{P \times 1.4 \times  5}{100} \\\implies P = \frac{24.50 \times 100}{1.4 \times 5}  = 350\\\implies P = 350

Hence, the deposited sum of money by Edwin is $350.

5 0
3 years ago
Use unit circle to determine sine, cosine and tangent functions of the angle 5pi/4
Brrunno [24]
5pi/4 is located in quadrant III.
In Q III, sin and cos are negative, tan is positive.
T-bar for 5pi/4 is pi/4.
sin and cos are - (sqrt 2)/2
Tan is 1
5 0
2 years ago
Read 2 more answers
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