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3 years ago

Factor x^2 + 5x + 6. a. (x + 1)(x + 6) b.prime c. (x + 1)(x + 5) 4.(x + 2)(x + 3)

Mathematics

1 answer:

Nookie1986 [14]3 years ago

4 0

Answer:

4. (x + 2)(x + 3).

Step-by-step explanation:

x^2 + 5x + 6

We need to find 2 numbers whose product is + 6 and whose sum = + 5.

They are +2 and +3.

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What is the slope of a line that passes through (2,-5) and (6,-2)

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Answer:

$\frac{3}{4}$

Step-by-step explanation:

You plug in the points in this equation $\frac{y2-y1}{x2-x1}$

So $\frac{-2-(-5)}{6-2}$ = $\frac{3}{4}$

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A man is driving in a city that is built on a grid his car is at point S(66,17), and he needs to get to a parking lot at point T

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2 years ago

Aaron and Maria collected shells one morning at the beach. Maria had 3 times as many as Aaron, but they would have had the same

Hoochie [10]

Let the amount of shells collected by Aaron be $x$ and the amount of shells collected by Maria be $y$ respectively. Then the following system of equations should be solved:
$\left \{ {{3x=y} \atop {x+8=y-6}} \right.$

First of all, express $y$ out of first equation:
$y=3x$

Then, replace $y$ in second equation with found expression and solve it:
$x+8=3x-6$
$2x=14$
$x=14/2=7$

Finally, replace $x$ in first equation with found value and solve it too:
$3*7=y$
$y=21$

So, Aaron has found 7 shells while Maria has found 21.

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2 years ago

Show 2-(-3) on a number line.

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Just put a closed circle above 5 on the # line.

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2 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$