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MA_775_DIABLO [31]
3 years ago
13

Which equation represents the graphed function?

Mathematics
2 answers:
katrin2010 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

the y- intercept is at -3 so is either

y= x-3 or y=2x -3

the x-intercept is at 2 so when y=0, x must be 2

0= x-3 so x=3

0=2x-3 so 2x=3 and x=3/2

in conclusion none of the equations given are the graphed

FYI the equation for the graphed line is

y= 3/2 x-3

Svetlanka [38]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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Form a polynomial whose real zeros and degree. zeros: -3,0,2: Degree 3
mariarad [96]

<u>Answer:</u>

The polynomial is x^3 + x^2-6x.

<u>Explanation:</u>

Given:

Real zeros: -3,0,2

Degree 3

To Find:

The polynomial

Solution:

Now, according to given information, x = -3, x = 0 and x = 2 are zeros of equation.

Then, x – (-3) x + 3, x and x – 2 are the factors of the equation.

Now, multiply the factors, such that we will get equation.  

x(x + 3)(x – 2)  

x(x^2 + 3-2x- 6)

x(x^2+ x-6)

x^3 + x^2-6x

3 0
3 years ago
The central angle of a half circle is 180 degrees. The central angle of a quarter circle is 90 degrees. How many degrees is the
velikii [3]
Total circle = 360°
1/2 of circle = 1/2 x 360 = 180°
1/4 of the circle = 1/4 x 360 = 90°

Similarly,
1/8 of the circle = 1/8 x 360 = 45°
7 0
3 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
Hogan has saved $2,765 for a trip to Korea. The trip will cost at least $5,245.
Sergio039 [100]

Answer:

Step-by-step explanation: 5795f

7 0
2 years ago
Please ASAP help please !!! Help me anyone
worty [1.4K]

difference of squares means that both the terms are square terms. (also there must be a - symbol)

for example

y^2 - 4

square root of y^2 is y

square root of 4 is +2 as well as -2

so you would factorise it like this:

(y+2)(y-2)

1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>-2 doesnt have a whole number square root so it is not a difference of squares.

2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.

1 has a square root of +1 and -1.

therefore, this one is a difference of squares. <u>(</u><u>5</u><u>m</u><u>n</u><u>^</u><u>2</u><u> </u><u>+</u><u>1</u><u>)</u><u> </u><u>(</u><u>5</u><u>mn^2</u><u> </u><u>-</u><u>1</u><u>)</u>

3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)

so it is a difference of squares. <u>(</u><u>p</u><u>^</u><u>4</u><u>+</u><u>q</u><u>^</u><u>2</u><u>)</u><u>(</u><u>p</u><u>^</u><u>4</u><u> </u><u>-</u><u>q</u><u>^</u><u>2</u><u>)</u>

4. 16x^2 is a square term as irs square root is 4x.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>24 is not a square term.

therefore, it is not a difference of squares.

6 0
3 years ago
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