2. Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x^2+2x+7=21 The number of positive solutions to this equation is_____ The approximate value of the greatest solution to the equation, rounded to the nearest hundredth is_____.? I don't usually ask for help but it would be nice. ​

Answer:

7.2-2.7=x Doo the math buddy

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

17 cm

Step-by-step explanation:

A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. the volume of the box is: 17 cm

Answer:

The answer is below

Step-by-step explanation:

Let us assume the angle is -π/4.

Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.

Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4

Positive coterminal angle = 7π/4, 15π/4

Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4

Negative coterminal angle = -9π/4, -17π/4

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Answer:

-3x^2 -5x +2

Step-by-step explanation:

-2x(x+3)-(x+1)(x-2)=

Distribute

-2x^2 -6x  -(x+1)(x-2)

Foil

-2x^2 -6x  -(x^2 -2x +x -2)

Combine like terms

-2x^2 -6x  -(x^2 -x  -2)

Distribute the minus sign

-2x^2 -6x  -x^2  +x +2

Combine like terms

-2x^2  -x^2  -6x +x +2

-3x^2 -5x +2

Answer:

\(\huge\boxed{-2x(x+3)-(x+1)(x-2)=-3x^2-5x+2}\)

Step-by-step explanation:

\(-2x(x+3)-(x+1)(x-2)\)

Use the distributive property: a(b + c) = ab + ac

and FOIL: (a + b)(c + d) = ac + ad + bc + bd

\(=(-2x)(x)+(-2x)(3)-\bigg[(x)(x)+(x)(-2)+(1)(x)+(1)(-2)\bigg]\\\\=-2x^2-6x-\bigg(x^2-2x+x-2\bigg)=-2x^2-6x-x^2-(-2x)-x-(-2)\\\\=-2x^2-6x-x^2+2x-x+2\)

Combine like terms:

\(=(-2x^2-x^2)+(-6x+2x-x)+2=-3x^2+(-5x)+2\\\\=-3x^2-5x+2\)

Answer: 32$

Step-by-step explanation: 8 x 4 = 32

32 divided by 4 = 8

The expression that represents "3 more than twice a number" is 2n + 3.

The expression "3 more than twice a number" can be translated into an algebraic expression as 2n + 3, where "n" represents the number in question. To understand this expression, we first need to know the order of operations. In this case, "twice a number" means "2n", and "3 more than" means adding 3 to that result. Therefore, the entire expression becomes "2n + 3". It's important to remember that expressions like this are not equations, but rather just a way to represent a mathematical relationship. This type of expression is commonly used in algebraic problem-solving and can be manipulated to solve for different variables.

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Complete question:

Which expression represents "3 more than twice a number"? Choices:

2n−3

3−2n

2n+3

2+n+3

Answer:

21

Step-by-step explanation:

18÷6=3 attemps

13÷6=2 makes

she will probably missed I next 3rd pe alty kick

21st attempts

Let's call X the number of women on day 1, Y the number of men on day 1, W the number of men on day 2, and Z the number of women on day 2.

There were 50 more men than women at a concert on Day 1, so:

Y = X + 50 eq.1

On Day 2, the number of women decreased by 20% while the number of men remained the same, so:

Z = (1-0.2)X = 0.8X eq. 2

Y = W eq. 3

There were 950 audiences on Day 2, so:

W + Z = 950 eq. 4

Now, we need to solve to find the value of X, Y, Z, and W.

So, we can start replacing W by Y on the last equation:

W + Z = 950

Y + Z = 950 eq. 5

Then, replacing eq. 2 and eq. 1 on eq. 5, we get:

Y + Z = 950

(X + 50) + (0.8X) = 950

Solving for X:

X + 50 + 0.8X = 950

1.8X = 950 - 50

X = 900/1.8

X = 500

If X is equal to 500, then, Y, W, and Z are equal to:

Y = X + 50 = 500 + 50 = 550

W = Y = 550

Z = 0.8X = 0.8(500) = 400

Finally, each concert ticket cost $108, so the money collected from the sales of the concert on both day was:

9514 1404 393

Answer:

  L'(3, -6)

Step-by-step explanation:

The reflection over the y-axis is modeled by the transformation ...

  (x, y) ⇒ (-x, y)

  L(-3, -6) ⇒ L'(3, -6)

Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

he will have saved 45$

Step-by-step explanation:

if you take 2 from every 5 and 5 x 15 = 150, you would do 2 x 15 and get 30. So, the answer is 30$

Answer:

60

Step-by-step explanation:

turn it into a fraction.

2/5

/150

150*2=300

300/5=60

Answer:

a. Domain : All Real Numbers

b. Range: y≥ -1

c. The x-intercepts are (0,0) and (-4,0)

d. The y-intercept is (0,0).

e. f(2)=3

   f(-2)=-1

Step-by-step explanation:

If this has helped you please mark as brainliest

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Answer:

I think its C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

c. This is a two-tailed test.

Step-by-step explanation:

When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as

Ha : u≠ 1.7

meaning that values both larger and smaller than u are to be included.

When the alternative hypothesis has the "not equal to sign"  it gives the two tailed test.

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

We have,

To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.

So,

Subtract the flat rate from Chenelle's budget:

Budget after subtracting the flat rate.

= $300 - $19.95

= $280.05

Divide the remaining budget by the cost per mile to find the maximum number of miles:

Maximum miles = Budget after subtracting the flat rate / Cost per mile

= $280.05 / $1.75

Using division.

Maximum miles = 160.028571

Therefore,

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

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Answer:

67 adult tickets

35 student tickets

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

$941.65

Step-by-step explanation:

We have to find the sales tax of the camera.

tax rate = 9.5%

listed price = $859.95

           \(\sf Sales \ tax = tax \ rate * listed \ price\)

                         = 9.5 % * 859.95

                        = 0.095 * 859.95

                        = $81.70

To find the total cost, add the sales tax to the listed price.

Total cost = 859.95 + 81.70

                = $941.65

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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