Write an equation of the parabola that has x-intercepts at (1. 3, 0) and (-1. 3, 0) and its y-intercept at (0, 169)

The problem is to find two numbers that satisfy two conditions: their sum is 23, and their product is maximized. In other words, we need to determine two numbers that maximize their product while their sum remains constant.

To solve this problem, we can use algebraic reasoning. Let's assume the two numbers are x and y. We know that their sum is 23, so we have the equation x + y = 23. To maximize their product, we can express one variable in terms of the other. Solving the equation for y, we have y = 23 - x. Substituting this value of y in terms of x into the equation for the product, we get P = x(23 - x). This is a quadratic equation in terms of x. To find the maximum product, we can determine the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex represents the value of x that maximizes the product. By solving for x, we can then find the corresponding value of y.

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Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

answer:

I hope the solution is helpful.

Answer:

\( {x}^{2} - 9 {y}^{2} \\ = {x}^{2} - {3}^{2} {y}^{2} \\ = {x}^{2} - {(3y)}^{2} \\ = (x - 3y)(x + 3y)\)

Answer:

I will say A because is the one that makes more sense and is actually the one that is discrimination the equation

Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

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The measure of arc FEH is 230°. Therefore, option B is the correct answer.

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Given that, in circle R, m∠FGH=50°.

Here, ∠FGH+∠FRH=180°

⇒ 50°+∠FRH=180°

⇒ ∠FRH=180°-50°

⇒ ∠FRH=130°

So, arc FH =130°

Now, arc FH + arc FEH=360°

⇒ arc FEH=360°-130°

⇒ arc FEH=230°

The measure of arc FEH is 230°. Therefore, option B is the correct answer.

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In the diagram of circle R, m∠FGH is 50°. What is m arc FEH?

A) 130°

B) 230°

C) 260°

D) 310°

Answer:

15×15×16=3600

15×15=225

225×16=3600

20x+6+9x=180

add the values of x together

29x+6=180

subtract 6 from each side

29x=174

divide each side by 29

x=6

If the correlation between two variables is positive, then it indicates that when one variable increases so does the other variable.

Slope is an important concept in mathematics and is used to describe the steepness or direction of a line or linear equation. It is the ratio between the vertical and horizontal change in the equation, and is represented by the letter m. Slope can also be used to describe the rate of change of a function. Slope is an important concept in calculus, physics, and engineering. It is used to understand how different forces will affect a system and how various objects move in relation to each other.
In this case, the slope of the linear model that is formed from the two variables will also be positive. This means that the variables are positively associated, meaning the linear model will have a positive slope.

When the two variables have a positive correlation, the linear model will generally be upward sloping, which means that when one variable increases, the other variable will also increase. This indicates that the two variables are positively associated. For example, the number of hours studied and the grade achieved in an exam may have a positive correlation. As the student studies more, their grade will likely increase.

Conversely, if the correlation between two variables is negative, then the slope of the linear model will be negative. This means that the variables are inversely associated, meaning that when one variable increases, the other variable decreases. In this case, the linear model will generally be downward sloping, with the two variables having a negative association.

Overall, when the correlation between two variables is positive, the slope of the linear model will also be positive. This indicates that the two variables are positively associated, meaning that when one variable increases so does the other. Conversely, if the correlation is negative, then the slope of the linear model will be negative, indicating that the two variables are inversely associated.

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Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

Hopes this helps please mark brainliest

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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Step-by-step explanation:

Hey there!

The equation of a circle which passes through any point having centre (h,k) is;

\(( {x - h)}^{2} + ( {y - k)}^{2} = {r}^{2} \)

In first blank ( x-_ ) keep "-2". In second blank (y - _ ) keep "4" and in last blank ( _ ) keep "36".

Hope it helps..

Step-by-step explanation:

The answers are 60 and 6.86

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Answer:

change to standard form

-9x+y=4

multiply through by -1

9x-y=-4

Answer:

parakeets

Step-by-step explanation:

The type of energy the box have after it is done being pulled is "kinetic energy".

Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a net force, that object accelerates and obtains kinetic energy.

Now, according to the question;

The box's mass, m = 10 kg

F = 50 N, the force that occurs when the box is pulled

It has been moved 4 meters.

Friction force operating upon that box, f = 20 N

We must determine the box's initial kinetic energy. The box appears to be at rest at first. Because there is no movement in the box at the time.

The formula for box's kinetic energy is as follows:

K.E = (1/2)mv²

As velocity is given zero; v = 0.

Thus, K.E = 0.

The initial velocity of the box is zero.

Therefore, as the box starts moving its zero kinetic energy will start increasing.

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Answer:

x = -8

y = 1

Step-by-step explanation:

y = 2x + 17

x – 9y = -17

y = 2x + 17

-9y = -x - 17 (Multiply by 2)

y = 2x + 17

-18y = -2x - 34

-17y = -17

y = 1

y = 2x + 17

1 = 2x + 17

2x = 1 - 17

2x = -16

x = -8

The solution to the statements and missing spaces are;

From the information give, we have that;

1. 10000 less than 61397

This is represented as;

61397 - 10000

51397

2. 10000 more than 87406

This is represented as;

87406 + 10000

97406

3. 1000 less than 46377

This is represented as;

46377 - 1000

45377

4. 82126 more than 100

This is represented as;

82126 + 100

82226

5. 10535 less than 10000

This is represented as;

10535 -  10000

535

6. 79459 is 1 less than 79460

7. 77602 is 10 more than 77592

8. 52341 is 1000 more than 51341

Thus, the values are determined by adding or subtracting the terms.

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If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

To determine if the columns of matrix A form a linearly independent set, we need to check if the equation Ax = 0 has only the trivial solution x = 0.

Let's assume the given matrix A is:

A = [a1, a2, a3, ..., an]

If the columns of A are linearly independent, then the equation Ax = 0 has only the trivial solution.

To solve the equation Ax = 0, we set up the augmented matrix [A | 0] and row-reduce it:

[A | 0] =

[a1, a2, a3, ..., an | 0]

Row-reducing the augmented matrix will help us determine if there are any non-trivial solutions to the equation Ax = 0.

If row-reducing the augmented matrix leads to a row of zeros with a non-zero entry in the corresponding row of the right-hand side (0), then the columns of A are linearly dependent, and there exists a non-trivial solution.

If row-reducing the augmented matrix does not produce any non-zero entries in the right-hand side, then the columns of A are linearly independent.

By performing row operations on the augmented matrix [A | 0] and examining the resulting row echelon form, we can determine if the columns of A are linearly dependent or independent and find the dependence relation if they are dependent.

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There appears to be a positive correlation between shoe size and grade point average in Professor Walker's class, suggesting that students with larger shoe sizes tend to have higher GPAs.

The observation made by Professor Walker suggests a relationship between shoe size and grade point average. A positive correlation means that as one variable (shoe size) increases, the other variable (GPA) also tends to increase. In this case, the observation indicates that students with larger shoe sizes tend to have higher GPAs. However, it is important to note that correlation does not imply causation.

It is possible that the observed relationship is coincidental or influenced by other factors. Factors such as age, gender, or socioeconomic status could be associated with both shoe size and academic performance, leading to a spurious correlation. To establish a definitive causal relationship, further research and analysis would be required to account for confounding variables and determine the underlying mechanisms, if any, between shoe size and GPA.

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Answer:

Step-by-step explanation:

Givens

Petri Dish A sees a double ever 10 minutes

Petri Dish B sees a double ever 6 minutes

Consequences

A doubles 60 / 10 = 6 times.

B doubles 60 / 6 = 10 times.SolutionIf you work best with numbers then suppose there are 100 bacteria in both dishes at the beginningA = 100 * 2^6B = 100 * 2^10A will have 100 * 64 = 6400 bacteria growing inside AB will have 100 * 1024 = 102400 bacteria growing inside BB/A = 102400 / 6400 = 16There are 16 times as many in B than in A

Answer:I think it’s A or B

Step-by-step explanation:

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

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Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

x = -14

Step-by-step explanation:

3 + x/2 = -4

Subtract 3 from both sides:

x/2 = -7

Multiply both sides by 2:

x = -14