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Varvara68 [4.7K]
3 years ago
5

Find the zero or zeroes of the function. Please help! :((

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

x = (7 + √133) / 6

Step-by-step explanation:

0 = log₉ (3x + 2) + log₉ (x − 3)

Use log rules:

0 = log₉ ((3x + 2) (x − 3))

Raise 9 to both sides:

1 = (3x + 2) (x − 3)

Simplify:

1 = 3x² − 7x − 6

0 = 3x² − 7x − 7

Use quadratic formula:

x = [ -(-7) ± √((-7)² − 4(3)(-7)) ] / 2(3)

x = (7 ± √133) / 6

Since x > 3:

x = (7 + √133) / 6

x ≈ 3.089

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What is the area of the figure below?
rusak2 [61]

Answer:

B) 43in^2

Step-by-step explanation:

I did the work but I'm very bad at explaining it. What I can say is area of 2 little square is 9 so 9x2=18 Then area of big square is 25 so 25+18= 43

4 0
2 years ago
A line has a slope of 3 and passes through the point (-3, 8). What is the equation of the line​
mixer [17]

Answer:

y=3x+17

Step-by-step explanation:

Slope formula y2-y1/x2-x1=m

y=3x+b

Find b (y-intercept), enter the given coordinates (-3, 8)

8=3(-3)+b

8=-9+b

b=17

y=3x+17

Hope this helps! Please mark brainliest :)

8 0
3 years ago
Read 2 more answers
F(x)=11x -x +2 find the potential rational zeros
d1i1m1o1n [39]
X = - 1/2

In other way is x = -0.2 , x = -5^-1
3 0
2 years ago
Find the value of x so that the function has the given value.
nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

<u>h(x) = -7x + 10; h(x) = 3</u>

h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x

Dividing both sides by -7

\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1

<u>r(x) =  4/5x+7; r(x) = -5</u>

r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15

<u></u>

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/1406585
  • brainly.com/question/1414350

#LearnwithBrainly

3 0
3 years ago
In the equation 0.75s-5/8 = 44, how do you combine the like terms?
garri49 [273]

Answer:

Step-by-step explanation:

In the given equation, the "like terms" are the constants 5/8 and 44.

It simplifies the math if we eliminate the fractions first.  Note that 0.75 = 6/8, so now we have:

8(6/8)s - 8(5/8) = 44).

Multiplying all three terms by 8 (above) yields

8(6s) - 8(5) = 8(44), or

48s              = 8(44 + 5), or 48s = 8(49)

Dividing both sides by 48 yields s:   s = 8(49/48)

Review "like terms:"  These are terms that have at least one characteristic in common.  5/8 and 44 are like terms because they are only constants (no variables are present).  We must add 5/8 and 44.   0.75s does not have a "like term" in the given equation.

6 0
2 years ago
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