What is the discontinuity and zero of the function f of x equals x squared plus 5 times x minus 6 all over quantity x plus 6 end quantity question mark

a
Discontinuity at (−6, −7), zero at (−1, 0)

b
Discontinuity at (6, 5), zero at (−1, 0)

c
Discontinuity at (−6, −7), zero at (1, 0)

d
Discontinuity at (6, 5), zero at (1, 0)

Answer:

Explanation:

√8², 3² and √17² satisfy a²+b²=c²

√8²+3² = √17²

8+9=17

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer:

The answer is: x = 18.

Step-by-step explanation:

1) That is a right angle, so it equals 90 degrees. You can add together the 'x'es that you see in the photo, and x + x +3x = 5x.

2) Set that equal to 90, so: 5x = 90.

3) Divide by 5 on both sides, to get x = 18.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

replace x with 0

f(x) = -x - 5

find f(0)

f(0) = 0-5

f(0) = -5

Answer:

0.443 hours

Step-by-step explanation:

time = total distance / mph

time = 50 / 112.9094

time ≈ 0.443 hours

Answer:

0.443 hours

Explanation:

Given following:

Formula:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Substitute values to find time taken:

\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)

evaluate

\(\sf \rightarrow time = 0.4428329262\)

rounded to nearest thousandth

\(\sf \rightarrow time = 0.443\)

Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:

0.5% = 0.005

Multiply quantity by the decimal:

20,000 x 0.005 = 100 would be broken

20,000-100 = 19,900 would not be broken

Answer:

(x-1) and (x-5)

Step-by-step explanation:

option a .......

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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The difference between the median is 0.5. option D

Getting the sets of values that we have in order, we can see that we have;

12, 15, 33, 45, 46, 51, 52, 93

We can find the median between  4th and 5th numbers this is now going to give us that;  (45+46)/2 =  45.5

Median value  = 45.5

We can see that 93 is the outlier in the data set so if we remove it we would have;

12, 15, 33, 45, 46, 51, 52

The median of the data set in this case is 45.

The difference is;

45.5 - 45 = 0.5

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Missing parts;

The number of lattes sold daily for two coffee shops is shown in the table:

Lattes

12

52

93

33

51

15

46

45

Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?

A.46

B.45.5

C.45

D.0.5

Answer:

D) Infinitely many

Step-by-step explanation:

Given system of equations

\(\left \{ {{6x+18y=9} \atop {y=-\frac{1}{3}x+\frac{1}{2} }} \right.\)

Substitute second equation into first equation

\(6x+18y=9\\\\6x+18(-\frac{1}{3}x+\frac{1}{2})=9\\ \\6x-6x+9=9\\\\9=9\)

Therefore, since both sides are equal to each other no matter what, there are infinitely many solutions.

You can confirm that there are infinitely many solutions by looking at the graph of both functions. They overlap each other, so every solution will work.

Answer:

Step-by-step explanation:

Given:

Solution:

         y = -1/3x + 1/2  

            18(y = -1/3x + 1/2)

            18y = -6x + 9

Since both the equations are the same, this system of equations has infinitely many solutions.

Answer:

30

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

Answer:

1 1/5

Step-by-step explanation:

Answer:

Put your calculator in degree mode.

a = 2, b = 1. So y = 2sin(x)

sin(k) = 12/25, so k = 180° - 28.69° = 151.31°

The figure is omitted--please sketch it to confirm my answer.

√(25^2 - 12^2) = √481

So tan(k) = -(12√481)/481

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

75%

Im happy to help you

Answer:

1/8

Step-by-step explanation:

I think so

Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

Length is a measurement of distance or space from one point to another. It is typically measured in units such as meters, feet, or inches. Length is a scalar quantity, meaning it has magnitude but no direction. Length is a fundamental property of physical objects and can be used to measure the size of an object or the distance between two points.

To properly calculate the ladder length Mark needs, we must use the Pythagorean Theorem. The Theorem states that for the triangle formed by the ladder and the building, the square of the hypotenuse (the ladder length) is equal to the sum of the squares of the other two sides. Therefore, the ladder length Mark needs is equal to the square root of the sum of the squares of 5 feet and 12 feet, which is equal to the square root of 169, or 13 feet. Therefore, Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

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Answer:

The answer is - 4/5

Step-by-step explanation:

Because the "opposite" of a number is its inverse operation, therefore it is negative 4/5

Answer:

The transverse axis of a hyperbola equals the difference between the distances from any point on the hyperbola to each focus. Which is expressed in answer "C" in your list of possible answers.

Step-by-step explanation:

In fact, the definition of hyperbola is that of all point on the plane whose difference between their distance to each focus is a constant.

That constant can be determined in particular when one considers the distance to the actual vertex of the hyperbola (which is on the transverse axis) and whose distance to one of the focii is equal to the transverse axis plus the distance from the vertex to the focus, and from which needs to be subtracted the distance from the vertex to the focus, resulting then in exactly the transverse axis.

Answer:

C is right

I took the test

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer:

3/4

Step-by-step explanation:

We can find the slope using the slope formula

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

   = (5-2)/(7-3)

    =3/4

Answer:

3/4

Step-by-step explanation:

The formula for the slope between any two points is:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let's let (3,2) be x₁ and y₁ and let's let (7,5) be x₂ and y₂. Thus:

\(m=\frac{5-2}{7-3}\)

Subtract:

\(m=3/4=0.75\)

So the slope is 3/4 or 0.75.

And we're done!

Answer:

y=-x+4

Step-by-step explanation:

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

m=(3-8)/(1-(-4))

m=-5/(1+4)

m=-5/5

m=-1

y-y1=m(x-x1)

y-8=-1(x-(-4))

y-8=-(x+4)

y-8=-x-4

y=-x-4+8

y=-x+4

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Answer: Let the length of the hypotenuse be x

Applying the Pythagorean theorem we have :

x²=20²+48²

⇒x²=2704

⇒x=52( ∀ x >= 0 )

Step-by-step explanation:

Let assume the hypotenuse(longest side of right triangle) be x

By Pythagoras theorem

\( \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} \)

Applying Pythagoras theorem

\( \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} \)

\(\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304\)

\(\bf \large \implies \: {x}^{2} \: = \:2704\)

\(\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} \)

\(\bf \large \implies \: \: x \: = \: 52\)

Hence , the length of hypotenuse is 52.

Answer:

the answer is -4

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

-1/8 = -0.125

-1/10 = -0.100

as it is negative  

-0.125 < -0.1

so it is false