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ivolga24 [154]
3 years ago
14

Find the zero of the following function: f(x)=2/3(x)+6

Mathematics
1 answer:
elixir [45]3 years ago
7 0
X=-9.
explanation: You want to set the equation equal to 0, so 0=2/3x+6. Subtract 6 from each side... -6=2/3x. then multiply each side by the reciprocal of 2/3, or 3/2. The equation is now 6(3/2) = 2/3x(3/2). Knowing that the reciprocal of any number times itself =1, we can conclude that -18/2, or -9=1x.
You might be interested in
What are the values of a1 and r of the geometric series?
tester [92]

Answer:

r = 1/3

= 1

Step-by-step explanation:

1 + 1/3 + 1/9 + 1/27 + 1/ 81

In this series a is the first  term = 1

r is the common ratio = 2nd term/1st term = 3rd term/ 2nd term

r = 1/3 ÷ 1 = 1/9 ÷ 1/3

r = 1/3

I hope this was helpful, please mark as brainliest

4 0
3 years ago
Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
I don’t need help with 17 and 18 only those 4 problems on top plz help me and follow the directions on the top
Dovator [93]
13. 44 + 40 = 84

14. 15 + 81 = 96

15. 13 + 52 = 65

16. 64 + 28 = 92
5 0
2 years ago
Read 2 more answers
Patrica scored 80% on a math test. She missed 4 problems. How many problems were on the test?
svet-max [94.6K]

Answer:

20

Step-by-step explanation:

Patrica got 80% correct.  She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

4 = 1/5 x

x = 20

There were 20 problems on the test.

3 0
3 years ago
Suppose that a scuba diver is currently 34 feet below sea level. If he descends at a rate of 2 feet per minute, in how many minu
siniylev [52]
-126 = -34 + 2x is the equation you would use. solve for x, which would be -46. it would take 46 minutes for the diver to reach 126 feet below sea level.
7 0
3 years ago
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