What are the x intercepts of the graph of the function f(x)=x2+4x-12

1 answer:

6 0

Set the function equal to zero and solve for x. 0=x^2+4x+12 factors to 0=(x-2)(x+6) which gives you intercepts of x=2 or -6.

You might be interested in

Vitek1552 [10]

To solve this we are going to use the future value of annuity due formula: $FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic deposit
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$k$ is the number of deposits per year

We know for our problem that $P=420$ and $t=15$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%: $r= \frac{10}{100} =0.1$ . Since Ruben makes the deposits every 6 months, $k=2$ . The interest is compounded semiannually, so 2 times per year; therefore, $k=2$ .
Lets replace the values in our formula:

$FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
$FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]$
$FV=29299.53$

We can conclude that the correct answer is <span>$29,299.53</span>

8 0

3 years ago

How do you solve 6) n2+7n+15=5 by factoring?

charle [14.2K]

First, you need to set the equation equal to zero:

n^2 + 7n + 10 = 0

Now we factor. We need to find two numbers that add up to 7 and multiply to 10.

2 + 5 = 7
2 * 5 = 10

Now, we just need to write this as a polynomial:

(n + 2) (n + 5)
is our answer.

Hope this helps!

8 0

3 years ago

Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviatio

salantis [7]

Answer:

Cohen's D

Step-by-step explanation:

Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.

Effect size is defined as how large the effect of a something is or its magnitude.

Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate

The formular for Cohen's D is:

D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)

This is the most appropriate method in the given scenario

5 0

3 years ago

3w + 6(w – 4) = 156, what does w equal?

RSB [31]

<h2>3w + 6 (w - 4) = 156</h2><h2 /><h2>3w + 6w - 24 = 156</h2><h2 /><h2>9w - 24 = 156</h2><h2 /><h2>9w = 180</h2><h2>÷9 ÷9 ← divide by 9 on both sides</h2><h2 /><h2> w = 20</h2>

3 0

3 years ago

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

Fantom [35]

Answer:

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }$