help me please i will give brainlyest

Answer:

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range

Step-by-step explanation:

The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.

The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 1)² + 2 ← is in vertex form

with vertex = (1, 2 )

The domain of a parabola exists for all real values of x

domain : x ∈ R

the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.

range : y ≥ 2

The point (-6, 9) is not a solution of the given system of equations. Therefore, (-6, 9) does not satisfy both equations simultaneously and is not a solution to the system.

To determine if the point (-6, 9) is a solution of the system of equations:

1. Substitute the values of x and y from the point (-6, 9) into each equation.

2. Check if both equations are satisfied when the values are substituted.

Equation 1: 6x + y = -27

Substituting x = -6 and y = 9:

6(-6) + 9 = -27

-36 + 9 = -27

-27 = -27

The first equation is satisfied.

Equation 2: 5x - y = -38

Substituting x = -6 and y = 9:

5(-6) - 9 = -38

-30 - 9 = -38

-39 = -38

The second equation is not satisfied.

Since the point (-6, 9) does not satisfy both equations simultaneously, it is not a solution of the system.

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Answer:

78

Step-by-step explanation:

Since the two angles at the bottom are congruent, you would the two equations equal to each other. So it would be:

5x-19=2x+11

Once you simplify, you will find that x= 10.

Then you plug in x for both equations, so 5(10)-19= 31 and 2(10)+11= 31

So you add up the sides: 31+31+16= 78

Answer:

70% of 35

\(\frac{70}{100} *35\\=24\frac{1}{2} =24.5\)

Step-by-step explanation:

Answer:

Right now, we need to figure out 70% of what is 35. since the number is unknown, we will call it x.

% means per cent which is 100. Therefore, 70% is equivalent to 70/100.

70/100 times x equals 35.

To figure out x. We need to also change 35 into a fraction. 35/1. And know, we multiply them.

70/100 times 35/1

which equals 50

x = 50

70% of 50 is 35

Answer:

Sales Tax = 22.80

Sales Tax Rate = 22.80/380 x 100 = 6^

Step-by-step explanation:

Answer: 8%

Step-by-step explanation:

If the tax for the item was $30.40 and it cost $380  before  tax then to find the sale tax rate you will divide the tax by the total sale price.

30.40 / 380 =  0.08

To convert 0.08 to a percent multiply it by 100

0.08 * 100 = 8 %

a)

I) The ratio is given as follows: 1/2.

II) The scale factor is given as follows: 2.

b)

I) The ratio is given as follows: 1/5.

II) The scale factor is given as follows: 5.

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

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Answer:

7.5 MW

Step-by-step explanation:

The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:

Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)

P = ρQgh

But Qh = Velocity(v) * volume(V).

Hence power = ρvgV

Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:

P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W

P = 7.5 MW

Answer:

672

Step-by-step explanation:

The given equations are,s(t) = 1cos(2t)....(i)s(t) = 4cos(5πt)....(ii)Formula to find the frequency of the waveform is given by,f = (1/2π)ω,where ω is the angular frequency.We know that the angular frequency of the waveform is given by,ω = 2πf.

Substitute the value of ω in the formula to get the frequency of the waveform.f = (1/2π)ωf = (1/2π) × 2πfCancel the π and simplify to get the frequency of the waveform.f = 1/2From the equation (i), the angular frequency of the waveform is given by,ω = 2Substitute the value of ω in the formula to get the frequency of the waveform.f = (1/2π)ωf = (1/2π) × 2Cancel the π and simplify to get the frequency of the waveform.f = 1/π

From the equation (ii), the angular frequency of the waveform is given by,ω = 5πSubstitute the value of ω in the formula to get the frequency of the waveform.f = (1/2π)ωf = (1/2π) × 5πCancel the π and simplify to get the frequency of the waveform.f = 5/2Therefore, the frequency of s(t) = 1cos(2t) is 1/2 and the frequency of s(t) = 4cos(5πt) is 5/2.

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Answer:

A

Step-by-step explanation:

Edge

Based on the function f(x) = 3 - x², the value of f(-2) include the following: f(-2) = -1.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function f(x) is -2, the output value (range) is given by;

f(x) = 3 - x²

f(x) = 3 - (-2)²

f(x) = 3 - 4

f(x) = -1

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Answer:

1:14

Step-by-step explanation:

instead of starting from 9:14 you start counting from 10:14 because that where the first hour start

Answer:b

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

8d + 4d

Combine like terms

12d

Let d = -2

12 * -2

-24

Answer:

-24

Step-by-step explanation:

All you have to do is plug -2 in for d

8(-2) + 4(-2) = -24

(a positive times a negative equals a negative)

The constant of variation k is 21.The inverse variation equation can be represented as xy = k where k is the constant of variation. When x = 7 and y = 3, we can find k by substituting the values of x and y in the given equation. The value of k is found by multiplying 7 and 3 together, giving us k = 21. Thus, the constant of variation k is 21.

Given that the inverse variation equation is xy = k. The constant of variation, k, is the product of x and y, and is constant for all possible pairs of x and y. When x = 7 and y = 3, we can find the value of k by substituting these values in the inverse variation equation.

xy = k7 × 3 = k21 = k

Therefore, the constant of variation k is 21. Thus, we can say that the value of k is the product of x and y for all possible pairs of x and y. If any one of x or y is changed, the constant of variation will also change, but their product will always remain the same.

To solve this problem, we first need to recall the inverse variation equation, which is given as:xy = k

Here, x and y are the two variables, and k is the constant of variation. This equation tells us that the product of x and y is always constant for all possible pairs of x and y. In other words, if we multiply any value of x with its corresponding value of y, we will always get the same value of k, regardless of the values of x and y that we choose.Now, we are given that x = 7 and y = 3, and we need to find the value of k. To do this, we can substitute the given values of x and y in the inverse variation equation:xy = k7 × 3 = k21 = k

Therefore, the constant of variation k is 21. This means that if we multiply any value of x with its corresponding value of y, the product will always be 21. For example, if x = 1, then y must be 21; if x = 2, then y must be 10.5; if x = 3, then y must be 7, and so on. In all cases, the product of x and y will be equal to k = 21.

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Answer:

15 weeks.

Step-by-step explanation:

Answer: 24 cm²

Step-by-step explanation:

To find the area, first find the width of the rectangle.

Perimeter = (2 * Length) + (2 * Width)

20 = (2 * 6) + (2w)

20 = 12 + 2w

2w = 20 - 12

w = 8/2

w = 4 centimeters

Area = Length * Width

= 6 * 4

= 24 cm²

Descriptive statistics is a branch of statistics that deals with the summary of data using numerical and graphical methods. Descriptive statistics is used to calculate different measures of central tendency, variability, and correlation.

Central tendency is the tendency of data to cluster around a central value, which can be found using measures like mean, median, and mode. On the other hand, variability is the extent to which the data varies from the central tendency and can be calculated using measures such as variance, standard deviation, and range.An example of central tendency can be a dataset of the ages of students in a classroom. The mean, median and mode are measures of central tendency that can be used to summarize the data.

The standard deviation is the square root of the variance and represents the average distance of the data points from the mean.In summary, central tendency and variability are two important aspects of descriptive statistics used to summarize data. While central tendency measures the center of a dataset, variability measures the spread of the data. Descriptive statistics is used to provide insights into a dataset by providing a summary of the data using numerical and graphical methods.

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Answer:

4/5

Step-by-step explanation:

I know the answer by doing math in my head

The value of the sample mean a used to find this interval is 2.4.

Given that the population mean value u is estimated to be inside the interval (2.15, 2.65).

We are supposed to find the value of the sample mean, a, used to find this interval.

A confidence interval for a mean μ estimates a range of values within which the true population mean falls. The estimate is calculated from a sample from the population.

Confidence intervals are usually expressed as 95% or 99% intervals.

x is the sample mean, 

s is the sample standard deviation, 

n is the sample size and 1.96 is the z-score associated with 95% confidence.

= 0.127

Since we do not know the sample size n, we can not determine the value of s or x exactly, but we do know that the difference between the two means is less than 0.50 units.

If we assume that the sample size is large (n > 30) we can estimate the standard deviation from the range of the interval (2.65 - 2.15 = 0.50) and calculate the sample size to get a more precise estimate.

The sample size can be calculated as follows:

= 0.016127ns

= 2.4 - which is the midpoint of the interval.

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Answer:

The zeros are at 0 and -2/3

Answer:

Hop it's helpful!

Step-by-step explanation:

check my attachment for detailed explanation!

Answer:

24

Step-by-step explanation:

4x(8-2)

=4x6

=24

Answer:

There are no solutions.

Step-by-step explanation:

When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.

Answer:

(2x−5)(x−6)

Step-by-step explanation:

2x^2-12x-5x+30

2x(x-6)-5(x-6)

(2x-5)(x-6)

Answer:

B

Step-by-step explanation:

Answer:

The sale price is $31.2

Step-by-step explanation:

35% off of 48 is 31.2

Answer:

They have large leaves with holes in them that the Toucan can use to reach the fruit inside. The Toucan's beak is also used to break open hard-shelled fruits, such as coconuts. The Toucan's beak is also used for defence against predators, as it can be used to peck and jab at them. The adaptations of the rainforest plants are examples of convergent evolution. Both the Toucan and Monstera Plants have adapted to their environment in order to survive. The Toucan has a large beak that helps it to reach fruit in the canopy, while the Monstera Plant has long, grooved leaves with drip tips that allow water to run off and prevent mould. Both adaptations are beneficial for the survival of the species in the rainforest.

Step-by-step explanation:

The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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