PLEASE HELP ASAPPP!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP ASAP!!!!
The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)

Answer

θ = 37° 30'

Explanation:

The angle of depression has the same measure as the angle of elevation, so a trigonometric function that related the sides of the triangle and the angle of elevation θ is tangent. Then:

Therefore, the value of θ is:

So, in grades and minutes, we get:

θ = 37.50 = 37° 30'

Therefore, the angle of depression is 37° 30'

Based on the percentage of games played at home by the team, and the percentage win rate, the probability that the team wins is 63.05%

First, find the probability that the team wins playing at home:

= Percentage win rate at home x Percentage played at home

= 83% x 65%

= 53.95%

Then find the probability of winning away:

= Percentage win rate away x Percentage played away

= 26% x (1 - 65%)

= 9.1%

The probability the team wins is:

= 53.95 + 9.1

= 63.05%

In conclusion, the probability of the team winning at home and the probability of them winning away, can be summed up to find the probability of the team winning which is 63.05%.

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Hello!

First, let's remember:

In an ordered pair, we will have two variables represented as (x, y).

In the first two ordered pairs, the exercise informed the value of x. In the third ordered pair, it informs the value of y. We will solve it in a similar way, look:

x = 7/2 or also x = 3.5.

Answer:

10 meters per hour

Step-by-step explanation:

Velocity = Distance / Time

We will simply subtract 3 3/8 from 6 1/2

That is;

6 1/2 - 3 3/8

= 3 4-3/8

=3 1/8

The amount of berry left is more than 3 cups, hence Ryan have enough very stuff to also make a pie

The sum equivalent to 7√28x⁶+4√7x⁶ is :

18√7x⁶ .

Given ,7√28x⁶+4√7x⁶,

To find sum in simplest form ;

7√28x⁶+4√7x⁶

By splitting to factors,

= 7√(7*4)x⁶+4√7x⁶

= 7*2√7x⁶+4√7x⁶

= 14√7x⁶+4√7x⁶

By factoring out like terms,

= 2√7x⁶(7+2)

= 2√7x⁶(9)

= 18√7x⁶

Therefore  sum is =  18√7x⁶.

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Answer:

7

Step-by-step explanation:

24 with four scoops is 6 with one scoop and 6 times 7 is 42 so 1 times 7 is 7 so the answer is 7 scoops

We are given the following information

M is between G and T

MG = 2x + 1

MT = 3x + 3

GT = 19

Let us draw a sketch to better understand the problem

As you can see, the sum of MG and MT must be equal to the GT

Mathematically,

Let us solve the above equation or x

So, the value of x is 3

Therefore, the required values are

x = 3

MG = 7

MT = 12

The total earnings for the week for the same wage per hour is $501.6.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For 5 of working earnings is $76

Hourly rate = 76 / 5 = $15.2 per hour
Now for 33 hours of working in a week,
Earning = 15.2 * 33 = $501.6

Thus, the total earnings for the week for the same wage per hour is $501.6.

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There are 240240 possible permutations of choosing 5 shows from 14 available shows. It can be obtained by applying the formula of permutation.

What is permutation?

In mathematics, it is the number of ways in which given number of items can be arranged in different orders.

Here, we need to select 5 iteams from the given 14 iteams.

[tex]P(14,5)=\frac{14!}{(14-5)!}\\=\frac{14!}{(9!)}\\=\frac{(14)(13)(12)(11)(10)(9!)}{(9!)}\\=(14)(13)(12)(11)(10)\\=240240[/tex]

Hence, there are 240240 possible permutations of choosing 5 shows from 14 available shows.

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Solution:

Consider the following injective function:

this is equivalent to:

by cross-multiplication, this is equivalent to:

now, applying the distributive law, we get:

this is equivalent to:

Applying the common factor, we get:

this is equivalent to:

solving for x, we get:

so that, we can conclude that the correct answer is:

Answer:

60 yards

Step-by-step explanation:

100 feet + 20 feet + 60 feet = 180 feet

180 feet = 60 yards (there are 3 feet in 1 yard)

The vertical distance between the kite and stingray is 81 feet.

Given that, a kite is gliding 74 feet above sea level. There is a stingray coasting 7 feet below sea level.

Vertical distance or vertical separation is the distance between two vertical positions. Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.

The vertical distance between the kite and stingray is

74-(-7)

= 74+7

= 81 feet

Therefore, the vertical distance between the kite and stingray is 81 feet.

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We have to solve for x:

Multiply both sides of the proportion by 32:

Simplify:

Solution

For this case we can use the following formula:

where:

P= 200

r= 0.09

n = 4

t= 4

And solving we got:

Answer:

.1

We have 20 marbles.

Probability of blue marble = 8/20 = .4

Since the blue marble is put back, we still have 20 marbles.

Probability of green marble = 5/20 = .25

Multiplying these probabilities:

.4 × .25 = .1

Part I

In factored form, [tex]f(x)=a(x-2)(x-3)(x+1)[/tex]. Substituting x=1,

[tex]f(1)=32=a(1-2)(1-3)(1+1)\\\\\implies 32=4a\\\\a=8\\\\\therefore f(x)=8(x-2)(x-3)(x+1)[/tex]

Part II

In factored form, [tex]f(x)=a(x-5)(x-2)(x-4)[/tex]. Substituting x=3,

[tex]f(3)=-24=a(3-5)(3-2)(3-4)\\\\\implies 24=2a\\\\a=12\\\\\therefore f(x)=12(x-5)(x-2)(x-4)[/tex]

The stronger flavor of grape is in Tia's glass.

Given,

Martin's glass of grape drink has weaker tasting grape flavor

Tia's glass of grape drink has stronger tasting grape flavor

3 ounces of water is added to Martin's glass

One table spoon of grape mix is added to Tia's glass

We have to find the glass which contain the stronger grape flavor

Already in Martin's glass flavor is low. When we add water again to his glass, the flavor will again dissolves with water.

In Tia's glass grape flavor is stronger. By adding one tablespoon of grape mix the flavor will become more stronger.

That is,

The stronger flavor of grape is in Tia's glass.

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The following examples are shown below:

In this problem we have to present five types of real numbers, which are defined and shown below:

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1. 3.2673 is the expected number of ticket holders that will fail to show for the flight.

2.  0.425  is the probability that the airline will not have enough seats for all the ticket holders who show for the flight.

P(airline will not have enough seats for all the ticket holders who show for the flight) = P(more than 267 people show up for the flight)

p = P(will show for flight) = 1 - 0.04 = 0.96

n = 278

µ = n * p = 278 * 0.96 = 266.88

   σ = [tex]\sqrt{ n*p* (1 - p)} = \sqrt{278 * 0.96 * 0.04} = 3.2673[/tex]

P(X > 267)  =  P(X > 267.5)

                          p(x-  µ) / σ  > 267.5-  µ /σ

                   = P(Z> 267.5 – 266.88/ 3.2673 )

                   = P(Z > 0.19)

                    = 0.425.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.  To understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

(3,13 ) & (-1,5)

Step-by-step explanation:

a. 2x + 7 = x^2 + 4

b. move all terms to the left side and set equal to zero. then set each factor equal to zero. which gives you the x values 3, -1

c. substitute x with the x values to get y.  2(3) + 7 = -1^2 + 4

d. the solution is (3,13 ) & (-1,5)

The total money spent on fruits is $7.03

While at  the fruit stand, Ramon bought the following fruits,

3 pounds of apples that cost $0.89 per pound

4 cantaloupes that each cost $1.09

So, the total amount he spent on the materials he bought without including taxes is,

Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )

                                = 2.67 + 4.36

                                = 7.03

The total money spent on fruits is $7.03

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The cost for children meal is $16 and the.cost for adult meal is $26.

Let cost of adult meal = a

Let cost of child meal = c

Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582.This will be:

63a + 59c = 2582 ...... i

Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. This will be;

63a + 93c = 3126 ...... ii

Collect both equations

63a + 59c = 2582 ...... i

63a + 93c = 3126 ...... ii

Subtract i from ii

34c = 544

Divide

c = 544 / 34

c = 16

The cost of children meal is $16.

From equation i, 63a + 59c = 2582

63a + 59(16) = 2582

63a + 944 = 2582

Collect like terms

63a = 2582 - 944

63a = 1638

a = 1638/63

a = 26

Adult meals is $26.

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Answer:

D. 1.75

Step-by-step explanation:

Absolute value cannot be negative, so that gets rid of A & B. The point is at -1.75 so it has to be D.

Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.

‘B’ had a better college entrance exam score due to the higher value of Z-Score.

The Z-score of an observation is the number of standard deviations it falls above or below the mean. Standard deviation is a statistic that is used to measure the dispersion of a dataset relative to its mean and is calculated by doing the square root of the variance.

[tex]Z=\frac{(observation-mean)}{standard deviation}[/tex]

By putting the values as given in the question,We get,

A's score is (600 - 500) / 200 = 0.5 standard deviation i.e. above the mean.

B's score is (25 - 20) / 5 = 1 standard deviations i.e. above the mean.

Thus ‘B’ had a better score.

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