What is the y-intercept of y=3t-6

A quadratic function is a polynomial of the form f(x) = a·x² + b·x + c, where a, and b are coefficients and c, a constant, are numbers, a is a non zero number

The correct options are;

4. c. -3·x² + 2·x + 9 = 0

5. d. -9 and 7

6. b. 4·x² - 25 = 0

7. c. Real irrational and not equal

8. c. m² + 4·m + 13 = 0

9. a. y = x² - 4·x - 21

10. c. Parabola

The reasons why the above options are selected are given as follows:

4. The given equation, x·(2 - 3·x) + 9 = 0, can be rewritten as follows;

x·(2 - 3·x) + 9 = 2·x - 3·x² + 9 = -3·x² + 2·x + 9 = 0

Therefore, correct option is c. -3·x² + 2·x + 9 = 0

5. The given quadratic equation, x² + 2·x - 63 = 0, can be factorized as follows;

Given that he coefficient f x² is 1, and  9 × (-7) = -63, and 9 - 7 = 2, we have;

x² + 2·x - 63 = (x + 9)·(x - 7) = 0

The roots of the equation are -9, and 7

The correct option is option d. -9 and 7

6. The equation that can be easily solved by extracting the square root is the equation that is separable into squares of the constant and square of the required variable

4·x² = 25

\(x = \sqrt{\dfrac{25}{4} } = \dfrac{5}{2}\)

The correct option is b. 4·x² - 25 = 0

7. A quadratic equation that has a discriminant of 20, gives values of x in the forms;

\(x = \dfrac{-b \pm \sqrt{20} }{2\cdot a}\)

Given that √20 = 2·√5, is an irrational number, we have that the results are real irrational and not equal

The correct option is option c. Real irrational and not equal

8. The given equation is (m + 2)² + 9 = 0

(m + 2)² + 9 = m² + 4·m + 4 + 9 = m² + 4·m + 13 = 0

The correct option is c. m² + 4·m + 13 = 0

9. A quadratic function is a function given in the form f(x) = a·x² + b·x + c

Where, f(x) = y, the correct option is option a.

a. y = x² - 4·x - 21

10. The shape of a quadratic function is the shape of a parabola

The correct option is option c.

c. Parabola

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The correct answer for (C) the standard distribution for Jack is \(2.5\)

Diana is \(0.79\)

For part (C).

Given:

For jack:

Sample size \(n = 4\)

Standard deviation \(\sigma = 5\)

For Diana:

Sample size \(n = 40\)

The standard deviation for Jack's distribution:

\(\sigma_x = \dfrac{\sigma}{\sqrt{x} } \\= \dfrac{5}{\sqrt{4} }\)

\(= 2.5\)

The standard deviation for Diana's distribution:

\(\sigma_x = \dfrac{\sigma}{\sqrt{n} } \\= \dfrac{4}{\sqrt{40} } \\\\= 0.79\)

The standard deviation for (C) Jack is  \(2.5\) and Diana's is \(0.79\).

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a) The probability of selecting a jar with a weight between 848 and 854 grams can be determined by finding the area under the bell curve within that range.

Since the distribution is normal with a mean (u) of 850 grams and a standard deviation (σ) of 8 grams, we can calculate the z-scores for the lower and upper limits of the range. The z-score formula is (x - u) / σ, where x is the value, u is the mean, and σ is the standard deviation. For the lower limit, the z-score is (848 - 850) / 8 = -0.25, and for the upper limit, the z-score is (854 - 850) / 8 = 0.5.The probability of the weight being between 848 and 854 grams is the difference between these probabilities.

b) To find the probability of a random sample of 32 jars having a mean weight between 848 and 854 grams, we can use the Central Limit Theorem (CLT). The CLT states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. In this case, since the sample size is 32, we can assume that the distribution of sample means will be approximately normal. The mean of the sample means will be the same as the population mean, which is 850 grams. The standard deviation of the sample means, also known as the standard error of the mean (SE), is calculated by dividing the population standard deviation by the square root of the sample size, i.e., σ / √n. In this case, the SE is 8 / √32 ≈ 1.41 grams. We can then calculate the z-scores for the lower and upper limits of the range using the formula (x - u) / SE, where x is the value, u is the mean, and SE is the standard error.

c) To find the probability that a random sample of 32 jars has a mean weight greater than 853 grams, we can again use the Central Limit Theorem. The mean of the sample means will still be 850 grams, but the standard deviation of the sample means (SE) remains 1.41 grams.The probability can be determined by finding the area under the standard normal curve to the right of this z-score.

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Answer:

beetle goes to town and artic adventure both end at 3:25 so really it's a gamble

Step-by-step explanation:

Answer:

The length is 35cm and the area is 1050cm^2

Step-by-step explanation:

The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:

\(60+ 2x=130\)

\(2x=70\)

\(x=35\)

For the area multiply 30 by 35

\(30*35=1050\)

And your answer for the area is in cm^2

Example of an undecidable problem is given by the problems in the system created by computer viruses.

According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.

A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.

whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.

If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.

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Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

Two angles are called Alternate exterior angles if

1. They are on the exterior side of parallel lines and

2.  Lie on the opposite sides of the transversal line.

It is given that

\(r||s\) and \(t||u\)

From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.

Therefore alternate exterior angles with angle 11 are angle 13 and angle 5.

Amount paid by Ethan to buy a video game on sale of 20% with usual cost of $39.99 is equal to $32 ( nearest cent ).

As given in the question,

Usual cost of Video game bought by Ethan = $39.99

Sale discount received by Ethan on video game = 20%

Let 'x' be the amount paid by Ethan for video game.

Discount amount = 20% of $39.99

                             = ( 20 / 100 ) × 39.99

                             = 799.8/100

                             = $ 7.998

                             = $7.99

Amount to be paid by Ethan 'x' = $39.99 - $7.99

                                                   = $32 ( nearest cent)

Therefore, the amount paid by Ethan to purchase a video game on sale discount of 20% is given by $32.

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Answer:

i would think that the answer is c. coming to a stop

Answer: C doesn’t belong

Answer:

The slope is Negative four-thirds, and the y-intercept is 3.

Step-by-step explanation:

slope=(x2-x1)/(y2-y1)=-4/3

y-Intercept at (0,3)

Pictorial explanation is given in attached figure

Answer:

c

Step-by-step explanation:

test on edge 2020

Answer:   WHAT IS THIS SUPPOSE TO BE

Step-by-step explanation:

Answer:

n o

Step-by-step explanation:

n and o put together means no which is the opposite of yes.

Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

Answer:

The ratio of the areas of the design and the poster is

(12*9):(48*36) = 1:16

Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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Answer:

2 x ^2 − 2 x + 4 = 0

x ^2 − 2 x + 4 = 0

2 x ^2 − x = 0

Step-by-step explanation:

They will pay You $5368709.12 on the 30th day.

Compound interest is when you receive interest on both your interest income and your savings.

You start with a one cent.

You have $0.01 x 2 the following day.

You have $0.01 x 2 x 2 the following day.

and so forth

You will have $0.01 x 2^n-1 on day n.

This means that on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.

That is compound interest at work! It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment!

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complete question:

Suppose your parents agree to pay you

one cent today, two cents tomorrow (the first day after today), four cents the next day (second day after today), and so forth. Each time they double the amount they pay you. Write an equation expressing amount paid in terms of number of days after today. What kind of function is this? How much will they pay you the 30th day? Surprising?! Show that the amount paid today (0 days after today) agrees with the definition of zero exponents.

The loss of bond between aggregate and asphalt binder is called debonding. This type of distress typically starts at the interface between the aggregate and the Hot Mix Asphalt (HMA) layer. The two major causes for this type of distress are moisture damage and aging.

Moisture damage occurs when water infiltrates the HMA layer, causing the asphalt binder to lose its adhesive properties and weaken the bond with the aggregate. This can happen due to inadequate drainage, poor quality aggregate, or improper construction techniques.

Aging is another major cause of debonding. Over time, the asphalt binder in the HMA layer undergoes oxidation and hardening, which can lead to a loss of flexibility and adhesion. This makes the binder more prone to cracking and debonding from the aggregate.

To prevent debonding, it is important to use proper construction techniques, such as ensuring adequate compaction and proper asphalt binder content. Additionally, using high-quality aggregate and implementing effective drainage systems can help reduce the risk of moisture damage.

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The statement "If the null hypothesis is true, the F ratio for ANOVA is expected (on average) to have a value of 1.00" is true.

The reason is that the F-test for ANOVA evaluates the ratio of between-group variance to within-group variance.

If the null hypothesis is true, there will be no significant difference between the groups, and the variance between them will be roughly equal to the variance within them.

In that case, the F ratio will be close to 1.00, as the numerator and denominator will be approximately equal in value,

leading to the conclusion that the differences between the groups are not significant.

In summary, when the null hypothesis is true, the F ratio for ANOVA is expected (on average) to have a value of 1.00.

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The determinant of the given matrix is 8.

What is determinant of Matrix?

The determinant in mathematics is a scalar quantity that is a function of the rows and columns of a square matrix. It describes some aspects of the matrix and the linear map that the matrix represents.

As given matrix is,

\(A=\left[\begin{array}{ccc}0&-1&-1\\-2&-5&3\\-2&-8&4\end{array}\right]\)

Apply operations,

R₂ ↔ R₁

\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\-2&-8&4\end{array}\right]\)

R₃ ↔ R₃ -R₁

\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&-3&1\end{array}\right]\)

R₃ ↔ R₃ -2R₂

\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&0&4\end{array}\right]\)

No of non-zeros rows are 3.

Rank of Matrix is 3.

Then evaluate the determinant of matrix A,

= -2(-4 + 0) - 0 + 0

= 8.

Hence, the determinant of the given matrix is 8.

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Answer:

Step-by-step explanation:

60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake

Answer:

It still has to bake for 1 3/4 hours

Step-by-step explanation:

So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4

Therefore, the vector v with initial point P(-2, 3) and terminal point Q(-5, -2) is v = (-3, -5).

To find the vector v with initial point P and terminal point Q in component form, we subtract the coordinates of P from the coordinates of Q.

P = (-2, 3)

Q = (-5, -2)

To find v, we subtract the x-coordinate of P from the x-coordinate of Q and the y-coordinate of P from the y-coordinate of Q:

v = (Qx - Px, Qy - Py)

= (-5 - (-2), -2 - 3)

= (-5 + 2, -2 - 3)

= (-3, -5)

The vector v with initial point P(-2, 3) and terminal point Q(-5, -2) can be expressed in component form as v = (-3, -5). This means that the change in the x-coordinate from P to Q is -3, and the change in the y-coordinate is -5.

Therefore, the vector v with initial point P(-2, 3) and terminal point Q(-5, -2) is v = (-3, -5).

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Answer:

the 20 dollars = the slope

the fee = the y-intercept

if a line has a slope of 20 and passes through the point (7,200), then what is the y-intercept?

y-intercept is 60

Answer:

y=3/5x+3

Step-by-step explanation:

Use the equation for slope-intercept y=mx+b. First we will find the slope of this function (m) by taking two points. For this equation, I took (0,3) and (5,6). Using the equation (y2-y1)/(x2-x1), we get
(6-3)/(5-0), or a slope of 3/5.
All that's left is to find the y-intercept, or b. This is easy, since we can see that the function intercepts at (0,3).
Leaving us with a function y=3/5x+3

Answer:

96 cm^2

Step-by-step explanation:

Volume of a cube =(side)^3=64 cm^3.

(side)^3= (4 cm.)^3

or side =4 cm.

Surface area =6×(side)^2..

=6×4×4 cm^2=

96 cm^2. , Answer

Answer:

Step-by-step explanation:

Volume of cube = 64 m³

Side³ = 64

Side = ∛64 = ∛2*2*2*2*2*2

Side = 2*2 = 4 m

Surface area = 6side² = 6* 4² = 6*4*4

                     = 96 m²

To find p, the total number of points that Gwen earns for taking s surveys, use the following equation:p = 5s

According to the statement of the problem, the equation to find p, the total of points Gwen earns, for taking s surveys is not provided. However, the value of p can be determined using the following information:Each time Gwen takes a survey, she earns 5 points.

The equation to find p, the total of points Gwen earns, for taking s surveys is given by:p = 5sThis equation represents a proportional relationship between the total number of points Gwen earns (p) and the number of surveys she takes (s). If she takes more surveys, she will earn more points, and if she takes fewer surveys, she will earn fewer points.

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Answer:

x=15

Step-by-step explanation:

2x/5=6

Multiply each side by 5/2 to isolate x

5/2 *2x/5=6*5/2

x = 15

Answer:

x = 15

Step-by-step explanation:

Given

\(\frac{2x}{5}\) = 6 ( multiply both sides by 5 to clear the fraction )

2x = 30 ( divide both sides by 2 )

x = 15

Answer:

angle A = 84 degrees

AC = 9 ft

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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