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djverab [1.8K]
3 years ago
15

Find the zero of the function by rewriting the function in intercept form

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y

Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0

Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0   (this is intercept form)

Solution 1
4x + 1 = 0
4x = -1
x = -1/4

Solution 2
x - 5 = 0
x = 5

SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
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Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x -
aliina [53]

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

6 0
3 years ago
The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation p = 480.03x2 + 1 (0
stich3 [128]

Answer:  a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

Step-by-step explanation:

Since we have given that

Unit price is expressed as

p=480.03x^2+1

Let x be the number of units of a thousands.

So, Revenue function is given by

R(x)=px\\\\R(x)=x(480.03x^2+1)\\\\R(x)=480.03x^3+x

.(b) Find the marginal revenue function R'..

Marginal revenue function becomes,

R'(x)=3\times 480.03x^2+1\\\\R'(x)=1440.09x^2+1

(c) Compute R'(2).

R'(2)=1440.09(2)^2+1\\\\R'(2)=5760.36+1\\\\R'(2)=5761.36

Hence, a) p=480.03x^2+1, b) R'(x)=1440.09x^2+1 c) $5761.36.

5 0
3 years ago
Find AC and FB.<br> Points B, D, and F are midpoints of the sides of ACE. EC=40 and DF=18.
ANTONII [103]
The second option. A is 36 and B is 20. FD is half of AC, so 18*2 is 36. FB is half of EC, so it’s 20.
4 0
3 years ago
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Complete the sentence.
melamori03 [73]

Please view my other solution I gave you.

:)


But I will still answer this if you see it.

Because 0.8^x is never 0, then the asymptote is 0-10 or -10.

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When is a protractor preferred to a ruler when finding a measurement
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When measuring an angle.
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