HELP

Which ordered pair in the form (x, y) is a solution of this equation?
(x + 6)y = 9
(12, 2)
(2, 1)
(4,1)
(3, 1)

So the vector  form of the equation is: y = -1(x - 2)² + 3.

To convert from standard form to vertex form, we complete the square by following these steps:

Factor out the coefficient of the x-squared term:

y = -x² + 4x - 1

= -1(x² - 4x) - 1

To complete the square inside the parentheses, add and subtract the square of half of the coefficient of the x-term (-4/2)^2 = 4:

y = -1(x² - 4x + 4 - 4) - 1

Simplify the expression inside the parentheses by factoring a perfect square:

y = -1((x - 2)² - 4) - 1

Distribute the -1 and simplify:

y = -1(x - 2)² + 3

Therefore, the vertex of the parabola is at (2, 3), and the negative coefficient of the x-squared term means that the parabola opens downwards.

To know more about vector,

https://brainly.com/question/30202103

#SPJ11

Answer:

103

Step-by-step explanation:

bassically what you do is add 7 dollars to the ninety six that she lost when she bought the pie or you can do this equation 96 + m but m would be the money she lost being 7 dollars so you would replace m with 7 so it would be 96 + 7 = 103

Answer:

23/45

Step-by-step explanation:

8668/25 + 4141/9 - 5533/25

= 26348/45

= 585(23/45)

=23/45

As n increases from 2 to 10, the mean of the sampling hdistribution of the sample mean will increase, while the variance and standard error of the mean will decrease.

As n increases from 2 to 10, the sampling distribution of the sample mean will shift towards the population mean of 22.4 minutes. This is because as n increases, the sample mean becomes a better estimate of the population mean. Therefore, the mean of the sampling distribution will increase.

However, the variance of the sampling distribution will decrease as n increases. This is because the larger the sample size, the more representative the sample is of the population, and thus the less variability there is in the sample means. Therefore, the variance of the sampling distribution will decrease.

It is important to note that the standard error of the mean, which is the standard deviation of the sampling distribution, will also decrease as n increases. This means that as the sample size increases, the sample mean becomes a more precise estimate of the population mean.

In summary, as n increases from 2 to 10, the mean of the sampling distribution of the sample mean will increase, while the variance and standard error of the mean will decrease.
Learn more about sampling brainly.com/question/31890671

#SPJ11

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

The frequency of data value 1 that is 10 will be 6 as "Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency."

The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event. The relative frequency is calculated by dividing each frequency by the total number of data values. Therefore, the frequency is calculated by multiplying the relative frequency by the total number of data values.

Here,

Value                                           Relative frequency

10                                                  0.15

20                                                 0.30      

30                                                 0.45

40                                                 0.10

data 1 value=10

Dividing each frequency by the total number of data values gives the relative frequency.

So, multiplying the relative frequency by the total number of data values gives the frequency.

40*0.15=6

Since "multiplying the relative frequency by the total number of data values gives the frequency," the frequency of the data value 1 that is 10 will be 6.

To know more about relative frequency,

https://brainly.com/question/16832475?referrer=searchResults

#SPJ4

Answer:

straight line; curve

Step-by-step explanation:

Answer:

The graph of a linear function is always a line and the graph of an exponential function is always a curve

Step-by-step explanation:

For example, y = x

when you plug 1 in for x, you get 1 for y, continue doing this and you get a line.

y = \(b^{x}\)

As x increases, the line becomes more of a curve, and as x decreases, it becomes closer to a value, but will never touch it.

Answer:

f(4.7) = 13.1

Step-by-step explanation:

essentially this is just 3x-1

plug in 4.7 for x... 3*4.7 = 14.1 then subtract 1 =

13.1

the issue is the || absolute value...

if the "X" x value is NEGATIVE in the problem, just remove the negative sign...

in other words f(-4.7)  = 3(4.7) - 1

Answer:

13.1

Step-by-step explanation:

f(x) = 3|x|- 1, x= 4.7

f(4.7) = 3|4.7|- 1 *replace x with 4.7

= 14.1 - 1. *multiply 3 x 4.7

= 13.1. *subtract 1 from. 14.1

Answer:

X = 1/3

Step-by-step explanation:

Multiply all terms by x and cancel:

1

3

+3x=4x

3x+

1

3

=4x(Simplify both sides of the equation)

3x+

1

3

−4x=4x−4x(Subtract 4x from both sides)

−x+

1

3

=0

−x+

1

3

−

1

3

=0−

1

3

(Subtract 1/3 from both sides)

−x=

−1

3

−x

−1

=

−1

3

−1

(Divide both sides by -1)

x =  1 /3

Check answers. (Plug them in to make sure they work.)

x =  1 /3

(Works in original equation)

The comparison of the expressions is 7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

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

7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2

Express the exponents properly

This gives

7 + 3² -2  * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²

Evaluate the exponents

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4

Evaluate the expressions in brackets

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4

Solve the products and quotients

7 + 9 - 2.5 - 2 and 7 - 4

So, we have

11.5 and 3

11.5 is greater than 3

So, we have

11.5 > 3

Rewrite as

7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

The compass needle always points north because it is magnetic north pole.

Earth has magnetic field due to magnetic elements present in Earth's core in molten form. They are assumed to be in the form of giant bar to ease the calculations concerning magnetic field and polarity. The assumptions are geographic south pole harbours magnetic north pole and vice versa for the opposite pole.

So, we know that like poles attract each other and unlike poles repel each other. The north end of magnetic needle will point towards the magnetic south pole which is geographic north pole. Thus, we see compass needle directed to North pole.

Learn more about magnets -

https://brainly.com/question/2320811

#SPJ4

Answer:

1. x= y-3

x+y=26

2.The slope is 1 and the y-intercept is -7.

Step-by-step explanation:

1. If x is boys and y is girls

x= y-3

x+y=26

2. the equation is in the form of y=mx+b

m is slope and b is the y-intercept

in y=1x-7 (which is the same as y=x-7) The slope is 1 and the y-intercept is -7.

The total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

What is the polynomial function?

A polynomial function is a function that may be written as a polynomial. A polynomial equation definition can be used to obtain the definition. P(x) is the general notation for a polynomial. The degree of a variable of P(x) is its maximum power. The degree of a polynomial function is particularly important because it tells us how the function P(x) behaves as x becomes very large. A polynomial function's domain is full real numbers (R).

Here, we have

Given:  polynomial function: f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³

We have to find the number of roots of a polynomial function.

For finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.

For the function f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.

Hence, the total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

To learn more about the polynomial function from the given link

https://brainly.com/question/2833285

#SPJ4

Solution

For this case we can use the following equation:

m < A+ m < C= 180 º= m < B + m < D

Then since we know that m < A= 88º we can do this

m < C= 180º- 88º = 92º

then the correct answer is:

92º

Answer:

x = \(\sqrt{120}\) ≈ 10.95

Step-by-step explanation:

Use Pythagorean Theorem a²+b²=c²

6²-4²=a²

36-16=a²

a²=20

a=\(\sqrt{20}\)

\(\sqrt{20\)²+10²=c²

20+100=c²

c²=120

c= \(\sqrt{120}\) ≈ 10.95

1- A = 23.55

2- In the 7th payment, the interest is $50 and the principal is $193.55.

To find the value of A, we can use the formula for calculating the monthly payment on a loan. Given that you took a loan of $5000 for 24 months at an interest rate of 1% per month, we can substitute these values into the formula. By doing so, we find that A is equal to $23.55.

To determine the interest and principal in the 7th payment, we need to understand how loan payments are typically structured. Each monthly payment consists of both interest and principal components. Initially, the interest portion is higher, while the principal portion gradually increases over time.

In this case, we know the loan amount is $5000, and the loan term is 24 months. To find the interest and principal in the 7th payment, we need to calculate the remaining balance after the 6th payment.

To calculate the remaining balance after the 6th payment, we subtract the total amount paid from the initial loan amount. The total amount paid after 6 payments can be calculated by multiplying the monthly payment (A) by the number of payments (6). In this case, 6 * $23.55 equals $141.30.

Next, we subtract the total amount paid ($141.30) from the initial loan amount ($5000) to get the remaining balance, which is $4858.70.

Now, we can calculate the interest in the 7th payment. Since the interest rate is 1% per month, the interest for the 7th payment can be found by multiplying the remaining balance ($4858.70) by 1% (0.01), resulting in $48.59. Therefore, the interest in the 7th payment is $48.59.

To find the principal in the 7th payment, we subtract the interest ($48.59) from the monthly payment ($23.55). This gives us $174.96. However, we need to adjust the principal amount to match the remaining balance after the 6th payment. Therefore, we subtract the remaining balance after the 6th payment ($4858.70) from $174.96 to find the adjusted principal, which is $193.55.

In summary, in the 7th payment, the interest is $48.59 and the principal is $193.55.

Learn more about principal

brainly.com/question/30026819

#SPJ11

Answer:

Shrek is the best

Step-by-step explanation:

Glad you all agree

To convert steps to miles, use the average stride length to calculate the distance covered by the steps.The average stride length for a person is approximately 2.5 feet, and there are approximately 5,280 feet in a mile.

Unit conversion is the process of changing a quantity from one unit of measurement to another, while maintaining its value. This is often done to compare measurements in different systems of units or to express a measurement in a unit that is more appropriate for a particular situation.

For example, converting between metric units (such as grams or meters) and imperial units (such as ounces or feet) is a common type of unit conversion. The process of unit conversion involves using a conversion factor, which is a ratio that relates the units being converted.  

To convert steps to miles, simply multiply the number of steps taken by the average stride length, and then divide the result by 5,280.

For example, if you take 10,000 steps, the distance covered would be approximately 4.47 miles (10,000 x 2.5 / 5,280).

Keep in mind that the average stride length can vary based on factors such as height, age, and fitness level, so it is important to measure your own stride length for the most accurate results.

To know more conversion factor lick on the link below:

brainly.com/question/30166433#

#SPJ11

To find out how long it will take for the elk population to reach 64,000, we can use the formula for exponential growth:

P(t) = P₀ * (1 + r)^t

Where:

P(t) is the population at time t,

P₀ is the initial population,

r is the growth rate,

t is the time in years.

In this case, the initial population is 32,000, the growth rate is 12% (0.12), and we want to find the time it takes for the population to reach 64,000.

64,000 = 32,000 * (1 + 0.12)^t

Dividing both sides of the equation by 32,000:

2 = (1 + 0.12)^t

Taking the logarithm of both sides (base 10 or natural logarithm can be used):

log(2) = log((1 + 0.12)^t)

Using the logarithm property log(a^b) = b * log(a):

log(2) = t * log(1 + 0.12)

Solving for t:

t = log(2) / log(1 + 0.12)

Calculating the value:

t ≈ 5.9

Therefore, it will take approximately 5.9 years for the elk population to reach 64,000.

Learn more about  elk population here:

https://brainly.com/question/11963245

#SPJ11

\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Volume of a rectangular prism is ~

\( \sf{Volume_{cuboid}= Length × Width × Height} \)

\(\qquad \sf  \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)\)

\(\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) \)

\(\qquad \sf  \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)\)

\(\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40\)

\(\qquad \sf  \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40\)

So, the correct choice is B

Answer:

x=12

Step-by-step explanation:

90-35=55

so 4x+7 needs to equal 55

4x+7=55

subtract 7 from both sides of the equation

4x+7-7=55-7

4x=48

divide 4 on both sides of the equation

4x/4x=48/4x

x=12

X = -80538738812075974, Y = 80435758145817515,

and Z = 12602123297335631 are the values of  x,y,z of whole numbers.

What in mathematics is a whole number?

Complete numbers the sum of all natural numbers plus zero. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.

                            Natural numbers with a starting value of 1 and higher are considered whole numbers. Let's examine a few instances of entire numbers. The alphabet "W" stands for the collection of whole numbers. W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,.…}

x3+y3+z3=k, with k being all the numbers from one to 100

X = -80538738812075974,

Y = 80435758145817515,

and Z = 12602123297335631

Learn more about whole number

brainly.com/question/29766862

#SPJ1

Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.

Then the object will start to move in the reverse direction.

at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.

If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.

To know more about acceleration:

https://brainly.com/question/907547

#SPJ4

The arc AB in degrees is equal to \((2π*11.5)/360,\) which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

The length of the arc in degrees can be calculated by taking the ratio of the circumference of the circle to the total circumference of the circle. The circumference of the circle is equal to 2π times the radius, and the total circumference of the circle is equal to 360 degrees. Therefore, the ratio of the arc AB to the circumference of the circle is equal to the arc AB in degrees divided by 360. The radius of the circle is equal to half the diameter, so the radius of the circle is equal to 11.5 meters. Therefore, the arc AB in degrees is equal to (2π*11.5)/360, which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

Learn more about length here:

https://brainly.com/question/30100801

#SPJ1

When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. When the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. When the ride moves at a constant velocity, the scale will show a weight of 150 lbs.

When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. This is due to the additional force exerted on your body as the ride pushes you upwards. The scale measures the normal force acting on you, which is equal to your weight plus the additional force from the acceleration. As a result, the scale will display a weight higher than your actual weight of 150 lbs.

On the other hand, when the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. In this case, the acceleration is in the opposite direction to the gravitational force, causing a decrease in the normal force. The scale measures the normal force, which is equal to your weight minus the force due to acceleration. Therefore, the scale will display a weight lower than 150 lbs.

When the ride moves at a constant velocity, the scale will show a weight of 150 lbs. At constant velocity, there is no acceleration acting on your body. The scale measures the normal force, which is equal to your weight. Since there are no additional forces from acceleration, the scale will display your actual weight of 150 lbs.

Learn more about the relationship between Acceleration and weight

brainly.com/question/7800086

#SPJ11

Answer:

6 miles

Step-by-step explanation:

To find the miles in an hour, we must found the unit rate. A fraction is a division problem, so we would set this up as a fraction. The numerator is the distance, and the denominator is the time it takes to travel the distance.

10.5/1.75=6

7.5/1.25=

4.5/0.75=

Answer:  6 miles

Step-by-step explanation:

Christy went jogging and covered 4.5 miles in 0.75 hr
and in 1.75 hr she covered 10.5
To find distance she covered in 1 hour = 10.5 - 4.5 (because 1.75 hr - 0.75 hr)

:)

got it!

the answer is 67

hope that helped