All categories

3 years ago

What is the factored form of x^2+9x+20

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

x^2+9x+20

-9+-√(9)^2-4(20)/2

-9+1/2 , -9-1/2

-8/2 , -10/2

-4,-5

ElenaW [278]3 years ago

4 0

Answer:

(x+4)(x+5)

Step-by-step explanation:

Let's factor x2+9x+20

x2+9x+20

The middle number is 9 and the last number is 20.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Addd together to get 9

multiply together to get 20

Can you think of the two numbers? hmmmmmm :D

Try 4 and 5:

4+5 = 9

4*5 = 20

Fill in the blanks in

(x+_)(x+_)

with 4 and 5 to g.et...

(x+4)(x+5)

Hope this helps :D

You might be interested in

If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?

____ [38]

Answer:

Step-by-step explanation:

I hoped it helped!!!

You can just divide both 24 by 4 and 4 by 4 to make it 1.

6 0

2 years ago

Read 2 more answers

Which sets does square 7 belong to.

horsena [70]

Answer:Number Sets. There are sets of numbers that are used so often they have special names and symbols: ... The numbers you can make by dividing one integer by another (but not dividing by zero). In other words ... If you square a real number you always get a positive, or zero, result. ... x + 7 = 0, x = −7, Integers, set integer.

Step-by-step explanation:

5 0

3 years ago

What is the slope of y = -4

atroni [7]

Answer:

the slope is zero because the slope is zero

5 0

3 years ago

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in

erica [24]

Answer:

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

$\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

7 0

3 years ago

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$