6.
-8(4y - 5)
NEED HELP ASAP⬆️

The vertex form of the parabola y = 4 · x² - 4 · x + 3 is the equation y - 2 = 4 · (x - 1 / 2)².

In this problem we find the case of the equation of a parabola in standard form, whose vertex form has to be found. These forms are described below:

Standard form

y = a · x² + b · x + c

Vertex form

y - k = C · (x - h)²

Where:

This can be done by completing the square, an application by algebra properties. First, write the equation of a parabola in standard form:

y = 4 · x² - 4 · x + 3

Second, use algebra properties until vertex form is found:

y - 3 = 4 · (x² - x)

y - 3 + 4 · (1 / 4) = 4 · (x² - x + 1 / 4)

y - 2 = 4 · (x - 1 / 2)²

To learn more on parabolae: https://brainly.com/question/21685473

#SPJ1

In mathematics, two straight lines can mean a number of things depending on the context. In general, a straight line is a geometric object that has no curvature and extends infinitely in both directions.

When two straight lines are considered together, they can either be parallel, meaning they will never intersect, or they can be intersecting, meaning they will cross at exactly one point. If the two lines are parallel, they will have the same slope, and if they are intersecting, the lines will have different slopes.

The slope-intercept equations for the two straight lines in analytical geometry are written as y = mx + b, where m is the slope, x and y are the coordinates of a point on the line, and b is the y-intercept.

In conclusion, two straight lines can have different meanings in mathematics depending on the context, such as parallel or intersecting, which can be represented by their equations in slope-intercept form.

Learn more about straight lines at

https://brainly.com/question/29223887

#SPJ4

Answer:

6

Step-by-step explanation:

5 x 6= 30

3x6=18

30-18=12

the difference is 12.

now  30 is 5 times, 18 is 3 times, that mean 12 is 2 times the number, so divide  12 by 2, qwhich gives you 6.

Hope this helps, gimme a vote up!!

Answer:

ok

Step-by-step explanation:

Answer:

Hello! The Answer is not proportional. Hope this helps!

Step-by-step explanation:

Answer:

17/5

Step-by-step explanation:

3 + 2/5 = (3*5+2)/5

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

i got it right on the exam!

To find the probability that a randomly chosen container is rejected, we need to calculate the area under the normal distribution curve outside the acceptable range of 1.88 L to 2.15 L.

Let's denote X as the volume of orange juice in the 2-L containers. We know that X follows a normal distribution with a mean (μ) of 1.95 L and a standard deviation (σ) of 0.15 L.

To calculate the probability of rejection, we need to find the area under the curve for X outside the range of 1.88 L to 2.15 L. We can do this by subtracting the cumulative probability within the acceptable range from 1.

Using standard normal distribution tables or a calculator, we can convert the values to z-scores and find the corresponding cumulative probabilities.

For 1.88 L:

z1 = (1.88 - 1.95) / 0.15 = -0.47

For 2.15 L:

z2 = (2.15 - 1.95) / 0.15 = 1.33

Using the z-scores, we can find the cumulative probabilities corresponding to these z-values.

P(X < 1.88) = P(Z < -0.47) ≈ 0.3192

P(X < 2.15) = P(Z < 1.33) ≈ 0.9088

Now, to find the probability of rejection, we subtract the cumulative probability within the acceptable range from 1.

P(rejection) = 1 - [P(X < 2.15) - P(X < 1.88)]

= 1 - [0.9088 - 0.3192]

= 1 - 0.5896

≈ 0.4104

Therefore, the probability that a randomly chosen container is rejected is approximately 0.4104, or 41.04%.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2), where x and y are the coordinates of the points.

(k-4)÷(0-1) = 9

k-4 = 9(0-1)

k-4 = -9

k = -5

Answer:

it would be d because 2 and 4 would only make sense to be 27° and 1 to be 153

Answer:

<1 = <3 = 153

<2 = <4 = 27

Step-by-step explanation:

Angle 1 and Angle 3 are equal since they are vertical angles

<1 = <3 = 153

<1 and <2 make a straight line so they add to 180

153 + <2 = 180

<2 = 180-153

<2 = 27

<2 and <4 are equal since they are vertical angles

<2 = <4 = 27

To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

To learn more about reciprocal here:

https://brainly.com/question/30519664

#SPJ4

The required probability is 0.325 or 32.5%.

Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13.

Given: P(B) = 0.4P(A and B) = 0.13

Formula used: We know that when two events A and B are independent, then P(A and B) = P(A) × P(B)

Hence, the formula for finding P(A) can be given by:P(A) = P(A and B) / P(B)

Now, let's put the given values in the formula:P(A) = 0.13 / 0.4P(A) = 0.325

So, the probability of event A is 0.325 or 32.5% (approx).

Learn more about probability

https://brainly.com/question/31828911

#SPJ11

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

Answer:

69% increase (nice)

Step-by-step explanation:

2900 / 4200 =  .69047

Round up the answer to nearest hundredth

.69

turn it into a percentage

69%

Answer:

1st: $36

2nd: $18

3rd:$9

Step-by-step explanation:

The first man gets 4

The second gets 2

The third gets 1

4 + 2 + 1 = 7

63/7 = 9

Each part equals $9

9*4  = 36

9 * 2 = 18

9 * 1 = 9

Check:

36 + 18 + 9 =

63

Simple Random sampling  as each student is getting equal opportunity to get selected.

Describe random sampling.

A selection of participants from a community are chosen at random by the investigator using simple random sampling, a sort of sampling techniques. Every individual in the population has the same chance of being chosen. Then, information is gathered from as much of this randomly selected subgroup as possible.

Which four forms of random sampling are there?

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are the four main random (probability) sampling techniques.

What benefit may simple random sampling provide?

The benefits of a simple random sample include its simplicity and accuracy of depiction. Simple random sampling is the easiest way to select a study sample from a bigger population.

To know more about Random sampling visit:

https://brainly.com/question/13219833

#SPJ4

The half-life of vanadium-48 is 16 days.

What is half life?

The half-life formula is used to determine the half-life of a material whose quantity is degrading or decreasing. When a substance degrades, the rate of decay varies depending on the quantity present. It is exceedingly challenging to determine the life of a decaying substance since when the quantity of the chemical decreases, the pace of decay likewise slows down. In order to offer the appropriate metrics to quantify the life of decomposing material, the half-life formula is applied.

According to law of radio active decay, IN=N

N-- amount of sample present

N1--- initial amount of sample

Decay 0 constant

Half life = 16 days

To learn more about half life form the given link

https://brainly.com/question/1160651

#SPJ4

The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

Read more about quotient expressions at

https://brainly.com/question/1807180

#SPJ1

The region in the plane consists of all points with polar coordinates (r,θ) such that 0 ≤ r < 7 and π ≤ θ ≤ 3π/2 is the shaded region in the fourth quadrant bounded by the circle with radius 7 and the positive x-axis extended to the origin.

In polar coordinates, a point in the plane is represented by its distance from the origin (r) and the angle it makes with the positive x-axis (θ). The given conditions are 0 ≤ r < 7 and π ≤ θ ≤ 3π/2.

The condition 0 ≤ r < 7 means that the points must be inside the circle of radius 7 centered at the origin. The condition π ≤ θ ≤ 3π/2 means that the points must be in the fourth quadrant and lie between the angles π and 3π/2 measured from the positive x-axis.

Therefore, the shaded region in the fourth quadrant bounded by the circle with radius 7 and the positive x-axis extended to the origin is the region in the plane consisting of all points with polar coordinates (r,θ) such that 0 ≤ r < 7 and π ≤ θ ≤ 3π/2.

To learn more about polar coordinates, here

https://brainly.com/question/11657509
#SPJ4

Answer:

Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.

Step-by-step explanation:

Two lines that both lie in the same plane must either cross each other or be parallel so skew lines can exists only in 3 or more dimensions. Two lines are skew lines if they are noncoplanar.

Skew lines are those lines which are not parallel and not intersect each other. They are found in three dimensional geometry.

The lines which have equal distance and cannot meet each other are known as parallel lines.

The lines which lie in the same plane is known as coplanar lines.

The lines which do not lie in the same plane is known is noncoplanar lines.

Two lines are skew and coplanar?

For the two lines to be coplanar they both need to lie in the same plane and do not intersect each other and not to be parallel to each other but:

They both are contradicting.

Hence it shows that if two lines are skew lines then they are noncoplanar.

Learn more about skew lines at https://brainly.com/question/1995934

#SPJ2

Answer:

$3.20

Step-by-step explanation:

The total amount is $4 for the video game desk.

100% = $4

10% = $0.40

20% = $0.40 + $0.40 = $0.80

Therefor the the sale price after the 20% discount is:

$4.00 - $0.80 = $3.20

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

To know more about proportional , visit ;

https://brainly.com/question/33460130

#SPJ11

Answer:

z = 100°

x = 40°

Step-by-step explanation:

Triangle CBD is isosceles so there are two 50°

DBC = 50°

That means BDC = 80° because 180(sum of angles in triangle) - 50 - 50 = 80

Z = 100° bc angle of straight line is 180° and 180 - 80 = 100

Now triangle ADB is also isosceles because there are two sides of equal length

So there will be 2*x + 100 = 180

x = 40°

The solution to Log x+y = logbx − logby Given log630 ≈ 1.898 and log62 ≈ 0.387, log615 ≈ 2.086.

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 10³, its logarithm in base 10 is 1000 is 3, or log₁₀ = 3.

log 630 = log (6 * 62 * 10)

log 630= log 6 + log 62 + log 10 =

log 630= 1 + 0.387 + 1

log 630= 2.387

And

log 615 = log (6 * 62 * 5)

log 615 = log 6 + log 62 + log 5

log 615 = 1 + 0.387 + 0.699

log 615 = 2.086

In the current case, log 630 ≈ 1.898 and log 62 ≈ 0.387. It was discovered that the logarithm of 615 is approximately 2.086 and that these logarithmic values are utilized to simplify other logarithmic calculations.

You can learn more about log at

brainly.com/question/25710806

#SPJ4

Answer:

False I did this And the slope is 2

Answer:

a=-18

b=7

c=27

Step-by-step explanation:

Given  the function f (x) = 5x - 8 ,for different value of  f(x)

    f (-2)=-18

     f (-2)=7

     f (-2)=27

A) for  f (x) = 5x - 8 where  f (-2).

      ⇒ f (-2) = 5x - 8

      ⇒ f (-2) = 5(-2) - 8

      ⇒ f (-2) = -10 - 8

      ⇒ f (-2) =-18

B) for  for  f (x) = 5x - 8 where  f (3).

      ⇒ f (3) = 5x - 8

      ⇒ f (3) = 5(3) - 8

      ⇒ f (3) = 15 - 8

      ⇒ f (3) =7

C)  for  f (x) = 5x - 8 where  f (7).

      ⇒ f (7) = 57 - 8

      ⇒ f (7) = 5(7) - 8

      ⇒ f (7) = 35- 8

      ⇒ f (7) =27

Learn more about function here: https://brainly.com/question/10439235

#SPJ2

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Given that Frame zero, F0 is the fixed global frame.

For each of the cases below find T1

Case (a)

F1 is rotated by an angle θ about zo.

Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.

Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.

The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.

Therefore, the transformation matrix T1:0

in this case is:

`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`

Case (b)

F1 is rotated by θ about xo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

Case (c)

F1 is rotated by θ about yo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Thus, the transformation matrix T1:0

for the three cases (a), (b), and (c) are given as follows:

(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Given θ = 150,

T1:0 for the three cases are:

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Learn more about transformation matrix from this link:

https://brainly.com/question/31505232

#SPJ11