which the parabola opens,
and determine the y-intercept. Decide which table best illustrates these values for the equation:
y=x² - 6x

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Given the equation:

We will use a graphing calculator to solve the equation

The graph of the equation will be as shown in the following figure:

As shown the intersection between the given equation and the x-axis is a point between 3 and 4 which = 3.4495

Rounding to the nearest tenth

So, the answer will be the solution to the equation:

The right side equals 12 so the left side needs to equal 12

Subtract the 4 circles:

12-4 = 8

There are 2 x’s so 8/2 = 4

X = 4

The answer is B. X = 4

Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Answer:

X = -10

Step-by-step explanation:

Combine like terms

2x + 34 = 14

minus 34.

2x = -20

divide by 2

x = -10

Answer:

x=-10???

Step-by-step explanation:

I just combined like terms and got it from there.

After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.

Answer:

14 x 1.05 = 14.70

Step-by-step explanation:

Answer: it decreased by 1

Step-by-step explanation: 8+3+6+8+7+9+1= 42/7 = 6 8+3+6+1+7+9+1= 35/7 = 5

6-5=1 so the mean decresed by 1

BRO THIS IS BASIC 6TH GRADE MATH ON IXL ?!?!?!?!?!!!!!!!!!!!!

you really couldn't solve this /-_-/ ?

The weight below which one can find the lightest 90% of all navel oranges is approximately 4.83 ounces.

Standard deviation is a statistical measure that represents the amount of variability or dispersion in a set of data. It measures how spread out the data is from the mean or average value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

In the given question,

We can use Excel's NORM.INV function to find the weight below which we can find the lightest 90% of all navel oranges, given the mean and standard deviation of the weight distribution.

The NORM.INV function takes three arguments: the probability value (in this case, 0.9 for the lightest 90%), the mean value (μ), and the standard deviation value (σ). The function returns the corresponding z-score, which can be multiplied by the standard deviation and added to the mean to get the weight value.

Using Excel, the formula to find the weight below which we can find the lightest 90% of all navel oranges is:

=6 - 0.8 * NORM.INV(0.9,0,1)

This gives us a result of 4.83 ounces (rounded to two decimal places).

Therefore, the weight below which one can find the lightest 90% of all navel oranges is approximately 4.83 ounces.

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1. Corresponding angles. (upper left) 2. Alternate interior angles. ( upper right)

3. Alternate exterior angles. ( bottom left)

4. consecutive interior angles. ( bottom right)

$3.90

29.20-13.60=15.6

15.6/4= 3.90

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  \(\pm 1\)

Denominator: \(\pm 2\)

That means there are only two possible rational roots: \(\pm \frac{1}{2}\)

Try them both by plugging them into the polynomial.

\(2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0\)

Aha!  The negative one-half value does not produce 0

Answer: 100

Step-by-step explanation:

valuable

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

Work Shown:

\(\sin^2(\theta) + \cos^2(\theta) = 1\\\\\sin^2(\theta) + \left(\cos(\theta)\right)^2 = 1\\\\\sin^2(\theta) + \left(\frac{10}{17}\right)^2 = 1\)

As the name implies, the pythagorean identity uses the pythagorean theorem for right triangles. The 1 on the right hand side is the length of the hypotenuse, which is the radius of the unit circle.

The Inequality expression that shows the above situation is x ≥ 75.

The word "inequality" describes the state of being unequal, In Inequalities like in equations, we compare two values but not with the equal signs here we use signs like Not equal, less than, less than or equal to; greater than or greater than or equal to, etc.

Here we have,

The minimum amount required to open a new checking account is $ 75        

Let us assume that we used $ x dollars to open a bank account

By the given data,

The amount is a minimum of $ 75  

=> x ≥ 75      [ x is less than or equal to $ 75 ]

Therefore,

The Inequality expression that shows the above situation is x ≥ 75.  

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Answer:

14

Step-by-step explanation:

I am preatty sure its 14 hope this helps

Answer: A

Just conformation

Region A is represent the solution of the given system of inequalities.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We have to solve a system of inequalities.

The first equation given is -0.5x+y ≥ 3

Which equation forms a straight line going upwards from left to right which intersects x-axis at -6.

The second equation given as 1.5x+y ≤ -1

This equation give a straight line going downwards from left to right intersecting x=axis near -1

The solution of the equations is given by the region which is overlapping, A.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

9514 1404 393

Answer:

  205°

Step-by-step explanation:

The bearing is measured clockwise from north (up), so is ...

  90° +(360° -245°) = 205° . . . bearing measured CW from north

__

This might also be reported as S25°W.

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

\(9(k+12) + 4k^{2}\)

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Answer:

15

5% of 300= 15

Hope this helps!! :) <3

Answer: 5% of 300 is 15

15 x 2 is 30

30 is 10%

10 x 10 100 = 300

Answer:

1. The value of 5 is fifty thousand

2. The value of 6 is six thousand

Step-by-step explanation:

1. 8.156 million - 8,156,000

2. 6,521

^ 6000

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)

Answer:

The roots are real and equal then the discriminant must be zero

So b²-4ac = 0

=>K²-4(1)(k+3)= 0

=> K²-4k-12 = 0

=> K2-6k+2k-12 = 0

=>K(K-6)+2(k-6)= 0

=>(K-6)(k+2) = 0

K = 6 or -2

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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