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3 years ago

A function has a y-intercept of 4 and two x-intercepts, one at 3 and one at 6.

Mathematics

1 answer:

n200080 [17]3 years ago

7 0

Answer:

D) y=2/9x2+2x+4

Step-by-step explanation:

y-intercept=4

2 x intercepts= 3 and 6

so y-intercept is point where x is 0 like (0,y)

x-intercept is the opposite y is 0 (x,0)

that means y-intercept is (0,4)

x-intercept is (3,0) and (6,0)

the formula of slope intercept form is

y=mx+b

b= is y-intercept

that means

y=ox^2+mx+4

x-intercept is point where y is 0

so solve

now lets try the first option

This is are quadratic functions

you need to plug in both of these until u get one that is right

change the y until you get both x's

the first option if wrong

second one y = 6x2 + 3x +4 has no x-intercepts

3rd option y=3/4x^2-6x-4

last option is y=

x2+2 has points at -6. and -2.9999 or -3

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Suppose the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately n

Irina-Kira [14]

Answer: 0.0475

Step-by-step explanation:

Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: $\mu=85,\ \ \sigma=9$

The probability that a given 1-ml will contain more than 100 bacteria will be:

$P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z$

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

3 0

3 years ago

Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc

ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

$\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.$

From the first equation

$5y=105-2x$

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0

4 years ago

Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

8 0

3 years ago

Use the elimination method to solve the system of equations. Choose the

miss Akunina [59]

9514 1404 393

Answer:

A. (4, 12)

Step-by-step explanation:

Adding the second equation to twice the first will eliminate y.

2(10x +2y) +(3x -4y) = 2(64) +(-36)

23x = 92 . . . . . . . . simplify

x = 4 . . . . . . . . . divide by 23

This value matches choice A: (4, 12).

3 0

3 years ago

The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight

seropon [69]

Answer:

150 pounds

the weight is directly proportional to the volume. hence:

138/23 = 6

now, 25*6 = 150

7 0

3 years ago