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svetoff [14.1K]

3 years ago

14

whaT is the function rule that represents the relationship found in the following ordered pairs? (-5, 22), (10, -23), (4,-5), (-

7, 28), (6, -11)

1 answer:

Svet_ta [14]3 years ago

4 0

The function rule is to

Add and subtract

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Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b

Ronch [10]

Answer:

$4^x-5=6$ gives the solution $x=\frac{\log(11)}{\log(4)}$ .

$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

$4^x=11$

Now write an equivalent logarithm form:

$\log_4(11)=x$

$x=\log_4(11)$

Now using the change of base:

$x=\frac{\log(11)}{\log(4)}$ .

If we assume the equation is $4^{x-5}=6$ , then we use the following process:

$4^{x-5}=6$

Write an equivalent logarithm form:

$\log_4(6)=x-5$

$x-5=\log_4(6)$

Add 5 on both sides:

$x=\log_4(6)+5$

Use change of base formula:

$x=\frac{\log(6)}{\log(4)}+5$

6 0

3 years ago

A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1525. Find the amount

Kaylis [27]

1525 ➗ 2 = 762.5
762.50 x 10% is 76.25
762.50 - 76.25 = 686.25
one paycheck is 762.50
the other is 686.25

I hope this helps.

6 0

3 years ago

Marilyn has been notified that her health insurance premiums will increase by 18% next year. She currently pays $523.00/month fo

Zielflug [23.3K]

Answer:

she will pay 614.14 because 523 + 18% = 6.14.14

Step-by-step explanation:

Hope this helps!!

7 0

2 years ago

I need help on the Quadratic Formula.

sasho [114]

1. 3x² + 12x - 15 = 0
    x = <u>-(12) +/- √((12)² - 4(3)(-15))</u>
   2(3)
    x = <u>-12 +/- √(144 + 180)</u>
   6
    x = <u>-12 +/- √(324)
</u>    6<u>
</u> x = <u>-12 +/- 18 </u>
      6
    x = -2 <u>+</u> 3
    x = -2 + 3    x = -2 - 3
    x = 1    x = -5
--------------------------------------------------------------------------------------------
2. 5x² + 11x + 2 = 0
    x = <u>-(11) +/- √((11)² - 4(5)(2))</u>
   2(5)
    x = <u>-11 +/- √(121 - 40)</u>
       10
    x = <u>-11 +/- √(81)
</u> 10
    x = <u>-11 +/- 9</u>
      10
    x = -1¹/₁₀ <u>+</u> ⁹/₁₀
    x = -1¹/₁₀ + ⁹/₁₀ x = -1¹/₁₀ - ⁹/₁₀
    x = ¹/₅ x = -2
--------------------------------------------------------------------------------------------
3. 2x² - 11x + 14 = 0
    x = <u>-(-11) +/- √((-11)² - 4(2)(14))</u>
   2(3)
    x = <u>11 +/- √(121 - 102)</u>
   6
    x = <u>11 +/- √(9)</u>
      6
    x = <u>11 +/- 3</u>
      6
    x = 1⁵/₆ <u>+</u> ¹/₂
    x = 1⁵/₆ + ¹/₂ x = 1⁵/₆ - ¹/₂
    x = 2¹/₃ x = 1¹/₃
--------------------------------------------------------------------------------------------
4. 2x² - x - 15 = 0
    x = <u>-(-1) +/- √((-1)² - 4(2)(-15))</u>
      2(2)
    x = <u>1 +/- √(1 + 120)</u>
      4
    x = <u>1 +/- √(121)</u>
   4
    x = <u>1 +/- 11</u>
      4
    x = ¹/₄ <u>+</u> 2³/₄
    x = ¹/₄ + 2³/₄     x = ¹/₄ - 2³/₄
    x = 3 x = 2¹/₂
<u />

4 0

3 years ago

Jalen inherited a collection of vintage comic books. An appraiser separated the comic

sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135 Eqn 1

x=y+33 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\$

Dividing both sides by 110

$\frac{110y}{110}=\frac{1650}{110}\\y=15$

Putting y=15 in Eqn 2

$x=15+33\\x=48$

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago