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2 years ago

7

Mr. Santos plants beans and squash in the areas shown in the model below.

1 answer:

Elena-2011 [213]2 years ago

8 0

Answer:

squash:21 acres o3(3+7)acres

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Which of the following functions best represents the graph?

marshall27 [118]

Answer:

$f(x)=x^3+x^2-4x-4$

Step-by-step explanation:

From the graph, the x-intercepts are;

$x=-2$

$x=-1$

$x=2$

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

$f(-2)=0,f(-1)=0,f(2)=0$

According to the factor theorem, if $(x-a)$ is a factor of $f(x)$ , then $f(a)=0$

This implies that;

$(x+2),(x+1),(x-2)$ are factors of the required function.

Hence; $f(x)=(x+1)(x-2)(x+2)$

We expand using difference of two squares to obtain;

$f(x)=(x+1)(x^2-4)$

We expand using the distributive property to get;

$f(x)=x^3-4x+x^2-4$

Rewrite in standard form to obtain;

$f(x)=x^3+x^2-4x-4$

6 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

3 years ago

The table in the answer space shows some of the high-profile information, in cm, for 50 participants who have attended the schoo

harina [27]

mode is 8.Hope it helps

6 0

3 years ago

Li walks at a constant rate of 7 ft. in 4 seconds. The table shows the relationship of feet to seconds. What is the constant of

Kisachek [45]

Answer:

The rate is 1.75 feet/seconds or 105 feet/minute.

Step-by-step explanation:

Given that,

Li walks at a constant rate of 7 feet in 4 seconds

To find the constant of proportionality, divide 7 feet by 4 seconds.

So,

$k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}$

1.75 ft/s is the constant of proportionality

We know that, 1 minute = 60 seconds

k = 105 feet/minute

So, the rate is 1.75 feet/seconds or 105 feet/minute.

4 0

2 years ago

Algebra 2: Functions, graphing, and transformations.

erastovalidia [21]

Answer:

The answer is “C” (Shifts left 3 units)

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

5 0

3 years ago