Find the z-intercepts and the coordinates of the vertex for the parabola y=x2+6x+5 if there is more than one x intercept awpweate them with commas

9514 1404 393

Answer:

  $51.72 each

Step-by-step explanation:

There are several ways to go at this. Let's try this one:

Marcus paid a price that was 3/4 off the original, so was 1/4 of the original price. Then the original price was 4 times what Marcus paid:

  29.79 × 4 = 119.16 . . . . . original price of 3 pants and 2 shirts

The original price of the pants was 5.24 each, so the 3 pairs originally cost ...

  5.24 × 3 = 15.72

The two shirts then account for the difference between this amount and the original cost.

  2s = 119.16 -15.72 = 103.44

  s = 51.72

The shirts were originally $51.72 each.

if 8 apples cost $ 4, then (4/8) = 1/2 (or 0.50)....so each apple is 0.50 (or 50 cents)

so if u want 9 apples, u will have to pay : 9 * 0.50 = $ 4.50 <=

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.

If x and y vary directly, it means that they have a constant ratio between them. We can express this relationship as:

y = kx,

where k is the constant of variation.

To find the value of k, we can use the given information that when x is 11, y is 33. Substituting these values into the equation, we have:

33 = k * 11.

Dividing both sides by 11, we find:

k = 3.

Now that we have determined the constant of variation, we can find y when x is 12 by substituting this value into the equation:

y = 3 * 12.

Evaluating this expression, we get:

y = 36.

Therefore, when x is 12, y will be 36.

Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.

For more questions on variation

https://brainly.com/question/13998680

#SPJ8

Answer:

\(5 { \times 54}^{2} \)

Answer:

y = 3/8x - 7/2

Step-by-step explanation:

y = 3/8x + b

-5 = 3/8(-4) + b

-5 = -3/2 + b

-7/2 = b

Answer:

y=3/8x - 7/2

Step-by-step explanation:

Hi there!

We're given that a line has a slope of 3/8 and passes through the point (-4, -5)

We want to find the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately plug that into the equation as m.

So replace m with 3/8.

y=3/8x + b

Now we need to find b

As the point passes through the point (-4, -5), we can use its values to help solve for b.

Substitute -4 as x and -5 as y:

-5 = 3/8(-4) + b

Multiply

-5 = -3/2 + b

Add 3/2 to both sides

-5 = -3/2 + b

+3/2   +3/2
_______________

-7/2 = b

Substitute -7/2 as b into the equation

y=3/8x - 7/2

Hope this helps!

Topic: Finding the equation of the line

See more on this topic here: https://brainly.com/question/27582464

The correct value of particle's acceleration at t = 2 seconds is -1/12 m/s^2.

To find the particle's velocity, we need to take the derivative of the position function with respect to time (t).

Given the position function:

s = √24 + 6t

To find the velocity, we differentiate the position function with respect to time:

v = ds/dt

Applying the power rule and chain rule for differentiation, we get:

v = (1/2) * (24 + 6t)^(-1/2) * 6

Simplifying further:

v = 3 / √(24 + 6t)

To find the velocity at t = 2 seconds, we substitute t = 2 into the velocity equation:

v = 3 / √(24 + 6(2))

v = 3 / √(24 + 12)

v = 3 / √36

v = 3 / 6

v = 1/2 m/s

So, the particle's velocity at t = 2 seconds is 1/2 m/s.

Now, let's find the particle's acceleration. Acceleration is the derivative of velocity with respect to time.

a = dv/dt

To find the acceleration, we differentiate the velocity function with respect to time:

a = d(3 / √(24 + 6t)) / dt

Applying the quotient rule and chain rule, we get:

a = -3 * (24 + 6t)^(-3/2) * 6

Simplifying further:

a = -18 / (24 + 6t)^(3/2)

To find the acceleration at t = 2 seconds, we substitute t = 2 into the acceleration equation:

a = -18 / (24 + 6(2))^(3/2)

a = -18 / (24 + 12)^(3/2)

a = -18 / 36^(3/2)

a = -18 / 36^(3/2)

a = -18 / 216

a = -1/12 m/s^2

So, the particle's acceleration at t = 2 seconds is -1/12 m/s^2.

Learn more about differentiation here:

https://brainly.com/question/954654

#SPJ8

Answer:

the conversion is going to be 19ft

Answer:

hgkgbnnhm,

Step-by-step explanation:

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

for more questions on semicircle protractor

https://brainly.com/question/30188078

#SPJ8

Answer:

x=15

Step-by-step explanation:

6(5)=30

3(5)=15

The length of the missing side Triangle is 3

As it is given that the given triangle is similar which shows all three sides of both the triangle will be in the same ratio by CPST (corresponding parts of similar Triangles).

so

15/x=30/6 .................  the ratio of two sides of the triangle

x  =  15*6/30

x= 3

here the value of x is 3.

Also, the ratio of the side comes out to be 5:1 as 6 and 30 are the length so the first triangle has a side of 15 and the length of another triangle will be 3 to make the ratio 5:1.

Learn more Similar Triangles: https://brainly.com/question/27996834

9514 1404 393

Answer:

Step-by-step explanation:

The attendance at price p is predicted to be ...

  20000 + 800(30 -p) . . . . . . 800 more people than 20,000 for each dollar below $30

The total revenue per person is predicted to be p+8, 8 more dollars than the ticket price. The total revenue is the product of attendance and revenue per person:

  TR = (p +8)(20000 +800(30 -p))

  TR = (p +8)(54000 -800p) = 800(p +8)(55 -p)

The factors have zeros at -8 and 55. The maximum revenue will be had when the price is the average of these values: (-8 +55)/2 = 47/2 = 23.50.

The revenue at that price is ...

  TR = 800(23.50 +8)(55 -23.50) = 800(31.50^2) = 793,800

__

The team should charge $23.50 to maximize total revenue. The maximum total revenue is $793,800.

Answer: It's the fourth option; f^-1(x)=x^3/125 -7

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Answer:

d. 48 inches

Step-by-step explanation:

We assume the mirror is a rectangle

We solve for the length of a diagonal using Pythagoras Theorem

a² + b² = c²

c = √a² + b²

Where c = diagonal

a = 30 inches

b = 38 inches

c = √30² + 38²

c = √2344

c = 48.414873748 inches

Approximately = 48 inches

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

The computation of the factors shows that the greatest number of bags that Lucia can make will be 16.

From the information given, Lucia has 48 markers and 64 stickers that she wants to give as favors for a party.

The computation of the factors shows that the greatest number of bags that Lucia can make will be calculated through then factors. This goes thus:

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

Factors of 64 = 1, 2, 4, 8, 16, 32, and 64.

Therefore, the highest common factor is 16.

Learn more about factors on:

https://brainly.com/question/219464

Answer:

16

Step-by-step explanation:

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer: 1,080 dollars

Step-by-step explanation: Start with your initial value of $1,166.40 then subtract $86.40 to get $1,080.

Answer:

321

Step-by-step explanation:

The range of data set 1 is 4

The range of data set 2 is 4.

A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.

The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.

Range = highest number - lowest number

The range of data set 1 = 7 - 3 =  4

The range of data set 2 : 7 - 3 =  4

To learn more about range, please check: https://brainly.com/question/26348529

#SPJ1.

The rule for f in the desired form is: f(x) = (3x^2 + 12x + 13r(x) + 52) / (x + 4)

To rewrite the rule for f in the form f(x) = q(x) + d(r), we need to first write g(x) in terms of r(x).

We know that g(x) = r(x) / (x + 4) + 1, so we can rewrite it as:

g(x) = r(x) / (x + 4) + (x + 4) / (x + 4)

g(x) = (r(x) + x + 4) / (x + 4)

Now, we can see that f(x) is a transformation of g(x) with q(x) = 3x and d(r) = 13. So, we can write:

f(x) = q(x) + d(r)

f(x) = 3x + 13(r(x) + x + 4) / (x + 4)

f(x) = (3x(x + 4) + 13r(x) + 52) / (x + 4)

Therefore, the rule for f in the desired form is: f(x) = (3x^2 + 12x + 13r(x) + 52) / (x + 4)

Learn more about polynomials at https://brainly.com/question/1496352

#$SPJ1

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

For more such information on: expression

https://brainly.com/question/1859113

#SPJ8

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

\( {x}^{2} + \frac{4}{3} x - \frac{1}{3} \)

can be subtracted