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solmaris [256]
2 years ago
12

-3x^2-6x solve using the gcf

Mathematics
2 answers:
Vladimir [108]2 years ago
6 0

Answer:

x = - 2, x = 0

Step-by-step explanation:

- 3x² - 6x ← factor out - 3x from each term

= - 3x(x + 2)

To solve equate to zero

- 3x(x + 2) = 0

Equate each factor to zero and solve for x

- 3x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

Veseljchak [2.6K]2 years ago
4 0

The GCF for -3x^2-6x is 3x

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Using the approximation 3.14 for \pi what is the radius of a circle with circumference 44m
Feliz [49]

Answer:

7 m

Step-by-step explanation:

Circumference of a circle uses the formula;

Circumference = 2 × pi × radius(r)

If the circumference = 44

then we use the formula above to calculate the value of the radius,

44 = 2 × pi × r...then divide both sides by (2 × pi(3.14))

Radius = 44 ÷ ( 3.14 × 2)

;Radius = 7.01

;Radius = 7m

8 0
3 years ago
Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde
zmey [24]

Answer:

t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638    

p_v =P(t_{(19)}>1.638)=0.0589    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.    

Step-by-step explanation:

Data given and notation    

\bar X=7.03 represent the sample mean

s=9.42 represent the sample standard deviation    

n=20 sample size    

\mu_o =3.58 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is higher than 3.58 :    

Null hypothesis:\mu \leq 3.58    

Alternative hypothesis:\mu > 3.58    

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638    

P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=20-1=19

Since is a right tailed test the p value would be:    

p_v =P(t_{(19)}>1.638)=0.0589    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.    

7 0
3 years ago
F(x)=3^2-2and g(x) =4x+2 what is the value of (f+g)(2)
morpeh [17]

Step-by-step explanation:

f(x) =  {3}^{2}  - 2 = 9 - 2 = 7 \\ g(x) = 4x + 2 \\  \therefore \: (f + g)(x) = 7 + 4x + 2 \\  \therefore \: (f + g)(x) =  4x + 9 \\ \therefore \: (f + g)(2) =  4 \times 2 + 9 \\ \therefore \: (f + g)(2) =  8 + 9 \\  \red{\boxed{ \bold{ \therefore \: (f + g)(2) =  17}}}

4 0
3 years ago
Write the following ratio using two other notations. 4 : 5
Fittoniya [83]

Answer: It can also be written as 4/5 as a fraction or 4 to 5

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3 years ago
PLEEEEASE show each and every step of how you solve I will make you the branliest of the brainliiest if you do and I mean EACH a
Ulleksa [173]

Since the value of b is 5, hence the equation of the horizontal line is x = 5

<h3>Equation of a line</h3>

A line is defined as the shortest distance between two points. The given line on the xy plane is a horizontal line.

The equation of a line is expressed as y = mx + b where;

m is the slope

b is the y -intercept

The equation of a horizontal line on the other hand is expressed as x = b

where b is the point where the horizontal line crosses the y-axis.

Since the value of b is 5, hence the equation of the horizontal line is x = 5

Learn more on equation of horizontal line here: brainly.com/question/25081736

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