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3 years ago

Which of the following values are zeros for the function below g(x)=(x2+4x-12)(x-3)

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

Step-by-step explanation:

$g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3$

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Montana Company sold merchandise with a retail price of $ 29 comma 000 for cash. Montana Company is required to collect 6 % sta

cluponka [151]

Answer:

The total cash received is $30740.

Step-by-step explanation:

Montana Company sold merchandise with a retail price of $ 29,000 for cash. Montana Company is required to collect a 6 % state sales tax.

Therefore, the total cash received from customer = Retail Price + State Sales Tax.

= $29000 + 29000 \times \frac{6}{100}$

= $30740

Hence, the total cash received is $30740. (Answer)

3 0

3 years ago

Which inequality is represented by the graph?

blsea [12.9K]

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (- $1\frac{1}{2}$ ). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around $\frac{2}{5}$ . So now, your equation is y = $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ . Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ .

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ $\frac{4}{5}$ x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤ $\frac{4}{5}$ x - 2y

$\frac{4}{5}$ x - 2y ≥ 3

7 0

3 years ago

What product is greater than 3/5

spayn [35]

Answer: 4/6+4/6 is 8/12 and bigger than 3/5

Step-by-step explanation:

6 0

1 year ago

Read 2 more answers

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

<u>Find the slope of the given line</u>

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

2 years ago

Read 2 more answers

(x-2)e2/3=49<br><img src="https://tex.z-dn.net/?f=%28x%20-%202%29%20%5E%7B2%20%5Cdiv%203%7D%20%20%3D%2049%20" id="TexFormula1" t

fredd [130]

$\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345$

4 0

3 years ago