How can you use the graph of a quadratic equation to determine the number of real solutions of the equation?​

Answer:

verdical lines have an undefined slope so it might be 4

Answer:

32

Step-by-step explanation:

4 + 20 + 8 = 32

hope this helped!!

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general form of the equation of a line is y = mx+b,

where m is the slope (rate of change) and b is the y-intercept (starting position)

In this case, the equation y = -7x - 3 can be used to represent this situation.

Thus, the starting position is 3 meters below sea level (-3) and the fish is descending 7 meters per second (-7).

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Complete Question

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

A. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

B. From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

D. From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

The number of coach tickets is; 3 coach tickets

The number of first class tickets is; 8 first class tickets

We are told that she took 11 people on the trip.

Let the number of first class tickets be f

Let the number of coach tickets be c

Thus;

c + f = 11  -----(1)

She was able to purchase coach tickets for $180 and first class tickets for $1200. She used her total budget for airfare for the trip, which was $10,140. Thus;

180c + 1200f = 10140   -----(2)

Make c the subject in eq 1 to get;

c = 11 - f

Put 11 - f for c in eq 2 to get;

180(11 - f) + 1200f = 10140

1980 - 180f + 1200f = 10140

1020f = 8160

f = 8

Thus;

c = 11 - 8

c = 3

So, 3 coach tickets and 8 first class tickets were bought

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Answer: I don't quite understand your question. Supplementary angles are angles that equal 180 degrees. You can find missing supplementary angles by adding the two that are given, and then subtracting them by 180.

(a)  The slope coefficient can be positive.

(b) the slope coefficient is not equal to 1.

(c) the coefficient of intercept is not zero.

(d) The slope coefficient is not equal to 1.

(a) Testing of Slope Coefficient for Positivity:

Hypothesis:

H0: β1 ≤ 0 (null hypothesis)

H1: β1 > 0 (alternative hypothesis)

Using the t-test approach:

t = β1 / SE(β1), where β1 is the slope coefficient and SE(β1) is the standard error of the slope coefficient.

Calculating the t-value:

t = 0.73 / 0.10 = 7.30

With 108 degrees of freedom (n-k-1 = 110-2-1=107), at a 5% significance level, the critical value is 1.66.

Since the calculated value of t (7.30) is greater than the critical value (1.66), we can reject the null hypothesis.

Therefore, the slope coefficient can be positive.

(b) Testing Coefficient of Intercept and Slope:

Testing the Coefficient of Intercept at 1% significance level:

Hypothesis:

H0: β0 = 0 (null hypothesis)

H1: β0 ≠ 0 (alternative hypothesis)

Using the t-test approach:

t = β0 / SE(β0) = 19.6 / 7.2 = 2.72

At a 1% significance level, the critical value is 2.61.

Since the calculated value of t (2.72) is greater than the critical value (2.61), we can reject the null hypothesis.

Therefore, the coefficient of intercept is not zero.

Testing the Slope Coefficient at 5% significance level:

Hypothesis:

H0: β1 = 1 (null hypothesis)

H1: β1 ≠ 1 (alternative hypothesis)

Using the t-test approach:

t = (β1 - 1) / SE(β1) = (0.73 - 1) / 0.10 = -2.7

At a 5% significance level, the critical value is 1.98.

Since the calculated value of t (-2.7) is less than the critical value (1.98), we fail to reject the null hypothesis.

Therefore, the slope coefficient is not equal to 1.

(c) Testing Coefficient of Intercept by p-value approach:

The p-value is the probability of obtaining results as extreme or more extreme than the observed results in the sample data, assuming that the null hypothesis is true.

If the p-value ≤ α (level of significance), then we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

For the coefficient of intercept:

P-value = P(t ≥ t0) = P(t ≥ 2.72) = 0.004

At a 1% significance level, the p-value is less than 0.01. Therefore, we reject the null hypothesis.

Therefore, the coefficient of intercept is not zero.

(d) Testing Slope Coefficient by p-value approach:

For the slope coefficient:

P-value = P(t ≥ t0) = P(t ≥ -2.7) = 0.007

At a 5% significance level, the p-value is less than 0.05. Therefore, we reject the null hypothesis.

Therefore, The slope coefficient is not one.

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Answer:

Option C.

Step-by-step explanation:

It is given that,

\(P(A)=\dfrac{1}{4}\)

\(P(B)=\dfrac{13}{20}\)

It is given that events A and B are mutually exclusive. It means they have no common elements.

\(P(A\cap B)=0\)

We know that,

\(P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

On substituting the values, we get

\(P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0\)

\(P(A\cup B)=\dfrac{5+13}{20}\)

\(P(A\cup B)=\dfrac{18}{20}\)

\(P(A\cup B)=\dfrac{9}{10}\)

Therefore, the correct option is C.

The P (A or B) should be \(\frac{9}{10}\)

Given that,

Based on the above information, the calculation is as follows:

\(= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}\)

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Answer:

x/y = 1

x/y = 1

Answer:

Answer: The set {1, 2, 3} has 8 subsets.

A set with 'n' elements in it can have 2n subsets.

\({ \begin{array} {l}\\ \quad \qquad \huge\color{green}{\boxed{ \colorbox{black}{ \color{green}{ \tt {Answer}}} }} \\ \\ \dashrightarrow \sf5(9 - x) + 2 {}^{2} \div 2 \\ \\ \dashrightarrow \sf45 - 5x+ (4 \div 2) \\ \\ \dashrightarrow \sf45 - 5x + 2\\ \\ \dashrightarrow\sf47 - 5x\\ \\ \texttt{hence, the equivalent expression is : -5x + 47 }\end{array}} \)

Answer: sampling variation

Step-by-step explanation: took the quiz

The margin of error is given by the sampling variation of the proportion of customers

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Let the margin of error be represented as A

where the value of A is

The confident interval is = 96 %

And , the value of sample is of 200 customers

where the warranty claims from 0.15 to 0.28

So , the cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim

Therefore , it is a sampling variation

Hence , the situation is a sample variation

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Answer:

0.887 kg

Step-by-step explanation:

3.548/4=0.887

Answer:

.887 kg per container

Step-by-step explanation:

Take the total amount of peanut butter and divide by 4

3.548 / 4

.887 kg per container

Answer:

                     .                           .                                       .

_________-16____-14____-12____-10____-8____-6____-4____-2____0

The answer of the given question is  the radius of the cylinders is approximately 1 unit, based on the chosen point on the graph.

Radius is a fundamental geometric property of a circle, which is defined as the distance from the center of the circle to any point on the circle's circumference. It is a one-dimensional measurement and is usually denoted by the symbol "r". The radius is defined similarly as the distance from the center of the shape to its outer boundary.

The radius is an important parameter in many mathematical equations and formulas that involve circles or three-dimensional shapes, like calculating the area or volume of a circle, cylinder, or sphere.

To find the radius of the cylinders given the equation V = πR²h, we can rearrange the equation to solve for R. We know that the radius is constant for all cylinders in the graph, so we can use any point on the graph to find its value.

Let's choose a point on the graph where the height is h=1 and the volume is V=3.14 (using 3.14 as an approximation for π):

V = πR²h

3.14 = πR²(1)

3.14/π = R²

R = √(3.14/π)

R ≈ 1.0

So the radius of the cylinders is approximately 1 unit, based on the chosen point on the graph.

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Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =πR²h (use 3.14.as an approximation for π). What is the radius of these cylinders?​

By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = \(\frac{1}{50}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  \(\frac{1}{50}\)

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Based on an 80% learning curve and the given information that the second plane took 20,000 hours to produce, the time required for the fourth unit is approximately 10,714 hours.

The learning curve concept suggests that as cumulative production doubles, the time required to produce each unit decreases by a certain percentage. In this case, the learning curve is 80%, meaning that the time required to produce each subsequent unit decreases by 20%.
To determine the time required for the fourth unit, we can use the learning curve formula:
Time for nth unit = Time for the first unit * (n^log(learning curve))
Given that the second plane took 20,000 hours to produce, we can use this information to calculate the time for the fourth unit:
Time for fourth unit = 20,000 * (4^log(0.8))
Evaluating the expression, we find that the time required for the fourth unit is approximately 10,714 hours.
Therefore, according to the 80% learning curve, the fourth unit would require approximately 10,714 hours to produce.

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Answer:

Mean:(137.2)

Median:(139.5)

Step-by-step explanation:

Mean = (125+136+150+119+143) divide by six(6)

= 823/6 = approx 137.2

Median = for the median, you will arrange the numbers in other. from smaller to the bigger number.

119,125,136,143,150, 150. so 136 & 143 is the middle number.

so you will add the middle number and divide by 2.

that is 136+143/2 = 139.5.

Answer:

784

Step-by-step explanation:

196 times 4= 784

Answer:

784 in

Step-by-step explanation:

196x4=184

Ordered pair (0, 6) and  (2, 7)  satisfy both inequalities in the system and are solutions to the system.

To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.

When we plot the graph of inequality separately:

    2. y ≥ 2x + 3:

The overlapping shaded region represents the solution to the system of inequalities.

To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:

Ordered pair 1: (0, 6)

Ordered pair 2: (2, 7)

These two points satisfy both inequalities in the system and are solutions to the system.

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The correct question is given below -

Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.

y > x + 5

y ≥ 2x + 3

Answer:

20%

Step-by-step explanation:

as we add 10 +25 = 35

so if we subract 40 from 35 it is 5 so mangoes are 5

5

_ × 100 =20%

25

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

The number of pounds of apples that are in his supply is 16 pounds

Let's represent the total supply of apples by "x" pounds.

Mitch uses 1/4 of his supply of apples for apple crisp, so he uses 1/4x pounds of apples for apple crisp.

Mitch uses 3/8 of his supply of apples for pies, so he uses 3/8x pounds of apples for pies.

According to the problem, Mitch uses a total of 10 pounds of apples, so we can set up the following equation:

1/4x + 3/8x = 10

To solve for x, we can first find a common denominator for 1/4 and 3/8, which is 8:

5/8x = 10

So, we have

x = 10 * 8/5

Evaluate

x = 16

Therefore, there are 16 pounds of apples in Mitch's supply.

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Answer:

guessing that the area of the inner rectangle is 10m²

and the other rectangle is 16m*10m= 160m²

we can say that

(16-x) * (10-x) = 10

for the area of the inner rectangle

let's calculate the lefthand side of the equation

160 - 16x -10x + x² = 10

160 -26x +x² = 10

subtract 10 on both sides

150 -26x +x² = 0

rearrange

x² -26x + 150 = 0

looks like something we can throw the pq formula on to solve for x

with p = -26 and q = 150

\(x = - \frac{ - 26}{2} \frac{ + }{ - } \sqrt{( \frac{ - 26}{2})^{2} - 150 } \)

\(x = 13 \frac{ + }{ - } \sqrt{169 - 150 } \)

\(x = 13 \frac{ + }{ - } \sqrt{19 } \)

\(x1 = 8.64\)

\(x2 =17.36 \)

we need to interpret this solutions

but to be sure on this, I need the unreadable text of the photographed problem

∇f at the given point. f(x,y,z)=x^3 +y^2−2z^2 z lnx, (1,1,3) is  <6, 2, -12>.

To find ∇f at the given point, we need to calculate the partial derivatives of f(x,y,z) with respect to x, y, and z, and then evaluate them at the given point (1,1,3).

The partial derivative of f(x,y,z) with respect to x is:

∂f/∂x = 3x^2 + 0 - 0 + z/ x

The partial derivative of f(x,y,z) with respect to y is:

∂f/∂y = 0 + 2y - 0 + 0

The partial derivative of f(x,y,z) with respect to z is:

∂f/∂z = 0 + 0 - 4z + lnx

Now, we can evaluate these partial derivatives at the given point (1,1,3):

∂f/∂x (1,1,3) = 3(1)^2 + 3/1 = 6

∂f/∂y (1,1,3) = 2(1) = 2

∂f/∂z (1,1,3) = -4(3) + ln(1) = -12

So, the gradient of f(x,y,z) at the given point is:

∇f (1,1,3) = <6, 2, -12>

Therefore, the answer is ∇f (1,1,3) = <6, 2, -12>.

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The reduced fraction is 6/7 using GCF method.

What is GCF method?

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Given,

the fraction = 24/28.

the factors of 24  = 2×2×2×3

The factors of 28 = 2×2×7

The gcf is 2 × 2 = 4

divide the denominator and numerator by 4

24 ÷ 4 = 6

28÷ 4 = 7

We get,

the fraction = 6/7.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

Answer:

(2)

Step-by-step explanation:

-3,2

-1,-1

\(y = ax + b \\ 2 = - 3a + b \\ - 1 = - a + b \\ 3 = - 2a \\ a = - 1.5\)

slope is -1.5

Answer:

37

Step-by-step explanation:

there's no remainder

:) hope this helps