determine the solutions to 12x^2 + 10x + 2 = 0 by factoring

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: 0.0112%

Step-by-step explanation:

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.

Answer:

C

Step-by-step explanation:

Answer:

5/27

Step-by-step explanation:

Answer:

w = 6ft 8in

Step-by-step explanation:

the proportions will be the same

w/7.5 = 12/13.5

multiply both sides by 7.5

w = 12/13.5 * 7.5

w = 6.6666666667ft

w = 6ft 8in

The original truck was 6.67 feet wide.

"It is a comparison of two or more numbers that indicates their sizes in relation to each other."

"It is an equation in which two ratios are set equal to each other."

For given example,

A model truck is 13.5 inches long 7.5 inches wide.

The ratio of length to width of a model truck would be,

13.5 : 7.5                       ...........................(1)

The original truck was 12 feet long.

This means the original truck was 144 inches long.

Let 'x' be the width (in inches) of the original truck.

So, the ratio of the length to the width of the original truck would be,

144 : x                           .................................(2)

Also, the ratios given by (1) and (2) must be in proportion.

[tex]\Rightarrow \frac{13.5}{7.5} = \frac{144}{x} \\\\\Rightarrow 13.5 \times x = 144 \times 7.5\\\\\Rightarrow \bold{x=80~inches}\\\\\Rightarrow \bold{x=6.67~feet}[/tex]

Therefore, the original truck was 6.67 feet wide.

Learn more about ratio and proportion here:

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Answer:

3/7

Step-by-step explanation:

430 +200 = 630   (630 people in all)

430-160 =270 (270 men  NO WHITE CAR)

        270/630  =    3/7

Answer:

It's C, 4/3! Just did the question and got it right

Step-by-step explanation:

The limit of f(x) as x approaches negative 1 is four thirds.

Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.

Given function is,

[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]

We have to find the value of the limit as x approaches to negative 1.

This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.

We have,

f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1

Substitute x = -1 in the above equation

x² - [tex]\frac{1}{3}[/tex] x  = (-1)² - (1 / 3) (-1)

            = 1 + [tex]\frac{1}{3}[/tex]

            =  [tex]\frac{4}{3}[/tex]

[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]

Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.

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Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]

Substituting given values, we get

[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]

[tex]=0.6291[/tex]

Therefore, the coefficient of determination = 0.6291

Answer:

5(8+12)

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

1200x.021=25.20 interest per year

25.20 x 5 years = 126

assumes no compounding

Answer:

0.8214

Step-by-step explanation:

We have

F(x) = 1/b-a

With b = 7

And a = 0

Such that we have

1/7-0

= 1/7

Probability of x> 1.25

7-1.25

= 5.75

1/7 x 5.75

= 0.8214

Therefore the probability that a randomly selected passenger has a waiting time more than 1.25 minutes is = 0.8214.

Thank you!

Answer:

1-(4×z) is the expression

Answer:

1 - 4z

Feel free to mark this as brainliest :D

Answer:

m = 0.25

Step-by-step explanation:

1.2m − 0.8 = −2.0m

Both side +2.0m

1.2m+2.0m-0.8=-2.0m+2.0m

Both side +0.8

3.2m=0.8

Both side divided by 3.2m

[tex]\frac{3.2}{3.2}[/tex]m=[tex]\frac{0.8}{3.2}[/tex]

1×m=[tex]\frac{0.8}{3.2}[/tex]

m = 0.25

The answer is 0.25

Answer:

(u – t)(u² - 12) is equal to 0.5.

Step-by-step explanation:

First let's find u and t:

Given u + t = 5, and u - t = 2

We'll substitute one of those into the other equation.

Let's solve the second one for u:

u - t = 2

u = 2 + t

Now we can substitute that definition into the first equation:

u + t = 5

(2 + t) + t = 5

2 + 2t = 5

2t = 3

t = 1.5

Now we can substitute that into either of the original equations to find u:

u = 2 + t

u = 2 + 1.5

u = 3.5

So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:

(u – t)(u² - 12)

= (3.5 – 1.5)(3.5² - 12)

= (3.5 – 1.5)(12.25 - 12)

= 2 × 0.25

= 0.5

Answer:

0.5

Step-by-step explanation:

You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)

Now, system of equations to solve for u.  if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.

Answer:

(1, -1)

Step-by-step explanation:

I can confirm that it is (1, -1)

Answer:

34

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

Answer:

4

Step-by-step explanation:

2m−13=−8m+27

2m+8m=27+13

10m=40

m=40÷10

Therefore, m=4

Answer:

2m - 13 = -8m +27

2m + 8m = 27 + 13

10m = 40

m = 4

Answer:

23

Step-by-step explanation:

The difference between the 23.827 - 1.218

23.827 - 1.218 = 22.609

By rounding to the nearest whole number it is 23.  

The answer is A which is 30. :D

Answer:

30

Step-by-step explanation:

2x + x - 10 = 80

3x - 10 = 80

3x (- 10 + 10)= 80 + 10

3x = 90

3x/3 = 90/3

x = 30

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 14, p = 0.8[/tex]

P(x>10)

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]

[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]

[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]

[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]

So P(x > 10) = 0.6981.

Answer:

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $0.35 and a standard deviation of $0.33.

This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].

What is the probability that a randomly selected stock will close up $0.75 or more?

This is 1 subtracted by the p-value of Z when X = 0.75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]

[tex]Z = 1.21[/tex]

[tex]Z = 1.21[/tex] has a p-value of 0.8869.

1 - 0.8869 = 0.1131

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Answer:

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Step-by-step explanation:

There are 3 colors so degrees of freedom = 3-1 = 2

The chi square value = 0.85

The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

The  p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

9514 1404 393

Answer:

  (b)  -30x²√(2x)

Step-by-step explanation:

Squares can be removed from under the radical.

Answer:

The answer is b on edg

Step-by-step explanation:

Just took the assignment

Answer:

Katherine is 27 years old.

Step-by-step explanation:

44-17=27.

Answer:

27

Step-by-step explanation:

44 age of Joe

-17 years younger

______________

27 years of age

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

Answer:

23 students letter d ran the 50 yard dash

Answer:

18

Step-by-step explanation:

the time of the students:

23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61

there are 18 number so 18 students did it