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3 years ago

6

What are the zeros of the function shown in the graph?

2 answers:

tankabanditka [31]3 years ago

8 0

Answer: Third Option

-3, -1, 1

Step-by-step explanation:

By definition, the zeros of a function f(x) are all the values x for which f(x) = 0.

In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x.

Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.

You can see in the graph that these intersections occur in

$x = -3\\x = -1\\x = 1$

Finally the zeros are: -3, -1, 1

SCORPION-xisa [38]3 years ago

7 0

Answer:

the zeros are -3,-1, and 1

Step-by-step explanation:

zeros are nothing more that where the function crosses or touches the x-axis

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Find each sum or difference. Then use front-

rosijanka [135]

The answer is 1, 240.

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3 years ago

Read 2 more answers

Please help i dont get thissss!!!

pav-90 [236]

Answer:

37.62 degrees + 47.87 degrees = 85.49 degrees

Step-by-step explanation:

For this question we are trying to find the "absolute value" between these 2 numbers, because one of the numbers are negative and the other one is positive, we are going to add both of them together. That is how we got 85.49. In a different equation, we might have done something different.

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3 years ago

Let c be a positive number. A differential equation of the form dy/dt=ky^1+c where k is a positive constant, is called a doomsda

stich3 [128]

Answer:

The doomsday is 146 days

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Step-by-step explanation:

Given

$\frac{dy}{dt} = ky^{1 +c}$

First, we calculate the solution that satisfies the initial solution

Multiply both sides by

$\frac{dt}{y^{1+c}}$

$\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}$

$\frac{dy}{y^{1+c}} = k\ dt$

Take integral of both sides

$\int \frac{dy}{y^{1+c}} = \int k\ dt$

$\int y^{-1-c}\ dy = \int k\ dt$

$\int y^{-1-c}\ dy = k\int\ dt$

Integrate

$\frac{y^{-1-c+1}}{-1-c+1} = kt+C$

$-\frac{y^{-c}}{c} = kt+C$

To find c; let t= 0

$-\frac{y_0^{-c}}{c} = k*0+C$

$-\frac{y_0^{-c}}{c} = C$

$C =-\frac{y_0^{-c}}{c}$

Substitute $C =-\frac{y_0^{-c}}{c}$ in $-\frac{y^{-c}}{c} = kt+C$

$-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}$

Multiply through by -c

$y^{-c} = -ckt+y_0^{-c}$

Take exponents of $-c^{-1$

$y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}$

$y = [-ckt+y_0^{-c}]^{-c^{-1}$

$y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}$

i.e.

$y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}$

Next:

$t= 3$ i.e. 3 months

$y_0 = 2$ --- initial number of breeds

So, we have:

$y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}$

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

We have the growth term to be: $ky^{1.01}$

This implies that:

$ky^{1.01} = ky^{1+c}$

By comparison:

$1.01 = 1 + c$

$c = 1.01 - 1 = 0.01$

$y(3) = 16$ --- 16 rabbits after 3 months:

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

$y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}$

$16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}$

$16 = [-0.03 * k + 2^{-0.01}]^{-100}$

$16 = [-0.03 k + 0.9931]^{-100}$

Take -1/100th root of both sides

$16^{-1/100} = -0.03k + 0.9931$

$0.9727 = -0.03k + 0.9931$

$0.03k= - 0.9727 + 0.9931$

$0.03k= 0.0204$

$k= \frac{0.0204}{0.03}$

$k= 0.68$

Recall that:

$-\frac{y^{-c}}{c} = kt+C$

This implies that:

$\frac{y_0^{-c}}{c} = kT$

Make T the subject

$T = \frac{y_0^{-c}}{kc}$

Substitute: $k= 0.68$ , $c = 0.01$ and $y_0 = 2$

$T = \frac{2^{-0.01}}{0.68 * 0.01}$

$T = \frac{2^{-0.01}}{0.0068}$

$T = \frac{0.9931}{0.0068}$

$T = 146.04$

<em>The doomsday is 146 days</em>

4 0

3 years ago

Teddy has two number cards.

melamori03 [73]

Answer:

7 and 14

Step-by-step explanation:

Given the LCM of two numbers to be 126

If one of the numbers is 18

The other number will be 126/18 = 7

The other possible value can be gotten by multiplying the lowest prime number by 7 i.e 2×7= 14

The two possible numbers are 7 and 14

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3 years ago

Question 25 of 25<br> Find the value of x.<br><br> A. 33 <br> B. 23<br> C. 38<br> D. 67

lyudmila [28]

67 sorry if I’m wrong

8 0

3 years ago