Solve the equation for t.

3t + 2 = 5(t – 2) – 2t + 8



Question 4 options:

Infinitely many solutions


x = 2


x = 3


No solution

The correct option will be "option D".

It is given that in the x-y plane, parabola with equation y=ax² + bx + c , passes through point (-1,1).

We have to check which equation is most suitable.

What is parabola ?

The graph of a quadratic equation in two variables (y=ax² + bx + c) is called a parabola.

Parabola has the equation ,

y = ax² + bx + c --------- Equation (1)

At point (−1, 1)

x = -1 and y = 1

Substitute the values of x and y in the equation (1).

i.e., y = ax² + bx + c

1 = a × (-1)² + b× (-1) + c

1 = a × (1) - b + c

1 = a - b + c

Thus, in x-y plane at point (1,-1) , equation will be , a - b + c = 1.

To learn more, about parabola click here ;

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Answer:

"f(x) + 2" You were correct

Answer:  [tex]4.33\text{ cars per month.}[/tex]

Step-by-step explanation:

Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.

[tex]m=\dfrac{\text{change in y}}{\text{change in x}}[/tex]

If time in months is along the x-axis and the number of cars sold is along the y-axis

Change in months : 3

Change number of cars : 13

The slope of the line that represents this relationship will be :-

[tex]m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}[/tex]

Hence, the slope of the line = [tex]4.33\text{ cars per month.}[/tex]

Answer:

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1 1/9 is the answer

I know this because I just had to do the same problem and that was the answer

Answer:

x = -2/13

Step-by-step explanation:

This is a first degree polynomial. To solve it, you need to follow these steps:

Step 1: Equate the polynomial to zero

7x + 7 + 6x - 9 = 0

Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side

7x + 6x + 7-9

Note: Remember that if you are going to pass a number from side to side the equality is reversed.

Step 3: Add Both Sides

13x = -2

Step 4: Isolate the "x" Variable

x = -2/13

The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.

The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.

To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA

Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3

We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.

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To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.

To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:

So, the average value of f over region d is 1.12.

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16/2 =8, 16/8 = 2

24/2 = 12, 24/8 = 3

28/2 = 14, 28/8 = 3.5

32/2 = 16, 32/8 = 4

28 isn't divisible by 8

 Answer is C

Answer:

the answer is C

Step-by-step explanation:

To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.

To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.

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The hydrogen ion concentration can be written in scientific notation as 9.14 x 10-6 M. The weight of a humpback whale can be written in standard notation as 11,105 pounds.

(a) The given hydrogen ion concentration of 0.00000914 moles per liter can be written in scientific notation as 9.14 x 10-6 M. To convert the number to scientific notation, we move the decimal point to the left until there is one non-zero digit to the left of the decimal point and multiply by the corresponding power of 10.

(b) The weight of a humpback whale, which is given as ×1.1105 pounds, can be written in standard notation as 11,105 pounds. To convert from scientific notation to standard notation, we move the decimal point to the right or left by the power of 10 indicated by the exponent.

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To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.

To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:

1) x + y = 210

We are also given that the total sales were $1296, so:

2) 3x + 7.5y = 1296

We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:

3x + 3y = 630

Now, by subtracting this new equation from the second equation, we eliminate x:

7.5y - 3y = 1296 - 630

4.5y = 666

Dividing both sides by 4.5, we find that:

y = 148

So, 148 general admission tickets were sold on the opening night of the school musical.