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3 years ago

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:

Step-by-step explanation:

You might be interested in

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

mariarad [96]

Answer:

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

Explanation:

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

Step-by-step explanation:

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

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

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.

however, -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. (5mn^2 +1) (5mn^2 -1)

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. (p^4+q^2)(p^4 -q^2)

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

however, 24 is not a square term.

therefore, it is not a difference of squares.

6 0

3 years ago