what is the difference between -15-9?

The graph of the function below y = 9x² - 12x + 4 intersect the x-axis at exactly one point (0.667, 0).

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

In this exercise, we would use an online graphing calculator to plot the quadratic equation in order to determine the x-intercepts as shown in the graph attached below.

Therefore, the x-intercept of the graph of the given quadratic equation y = 9x² - 12x + 4 include the following:

x = (0.667, 0).

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Answer:

what is the problem

Step-by-step explanation:

If P(A) is 0.64, then P(A') is 0.36. P(A) is probability of occurrence of event A.

This question pertains to Probability principles. Probability is a measure of the possibility of an event occurring. Many occurrences cannot be foreseen with absolute accuracy. We can only anticipate the likelihood of an event occurring using it.

A is an occurrence in this context. A' denotes the event's complement.  

For example, if Event A is getting heads on a coin toss, then Event A' is getting tails.

This demonstrates one thing:

A ∪ A' = U, here U is the universal set.

P ( U) = 1

P (A) + P(A') = 1

0.64 + P (A') = 1

P(A') = 1 - 0.64

P (A') = 0.36

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Between each of the integers, 0, 1, 2, 3, etc., the space is divided into 6 units. We can use this to our advantage.

Since 1/2 = 2/4 = 5/10 = 3/6 = ....., thus:

2 1/2 = 2 3/6. Now we can easily plot points on the number line.

2 3/6 = 2 units and 3 sub units.

1 5/6 = 1 unit and 5 sub units

Check the attached image to see the graphical solution of the question!

Hope that helps!

From the given table, the equation of C(t) is  - t² + 5. that is option C

The standard form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The table represents a quadratic function C(t).

t          C(t)

−2           1

−1           4

0           5

1           4

2            1

From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,

C(t) = a(t - 0)² + 5

C(t) = at² + 5

The equation is passing through the point (1, 4), then we have

4 = a (1²) + 5

4 = a + 5

a = - 1

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

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Answer:

Step-by-step explanation:

Rounding to the nearest tenth, the area of the regular octagon is approximately 282.8

The radian measure that is equivalent to 300° is equal to 5π/3. So, correct option is D.

To convert degrees to radians, we use the conversion factor of π/180, which means that one degree is equal to π/180 radians. Therefore, to convert 300° to radians, we multiply 300 by π/180:

300° * π/180 = 5π/3

To understand this conversion, we need to remember that radians are a unit of measurement for angles, just like degrees. However, while degrees divide a circle into 360 equal parts, radians divide a circle into 2π equal parts. One full rotation is equal to 2π radians, which is also equal to 360°.

Since 5π/3 radians is less than one full rotation, it represents an angle that is less than 360°. In fact, 5π/3 radians is equivalent to 300°, which is a well-known angle used in many contexts, such as in geometry, trigonometry, and physics.

In summary, to convert 300° to radians, we multiply it by the conversion factor π/180, which gives us the equivalent angle measure of 5π/3 radians.

So, correct option is D.

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The key point to remember is

The height is perpendicular to the base

if i was helpful Brainliests my answer ^_^

Answer:

To find the critical t-value for a confidence level of 80% with a sample size of 11, we need to consult a t-distribution table or use a statistical software.

Using a t-distribution table with 10 degrees of freedom (sample size - 1), we can find the critical t-value for a two-tailed test at a confidence level of 80%.

From the table, we find that the critical t-value is approximately 1.363.

Therefore, the critical t-value for a confidence level of 80% with a sample size of 11 is approximately 1.363.

Step-by-step explanation:

jew

The amount that Floyd will be paid each month from this annuity is $6,374.83 each month.

To calculate the monthly payments from a 20-year annuity with an initial investment of $1,000,000 at an APR of 4.6% compounded monthly, we can use the formula for calculating the monthly payment of an ordinary annuity: Monthly Payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Data

P = $1,000,000)

r = 4.6% / 12 / 100 = 0.00383

n = = 20 * 12 = 240

Plugging in the values. The monthly payment will be:

= $1,000,000 * 0.00383 * (1 + 0.00383)^240 / ((1 + 0.00383)^240 - 1)

= $1,000,000 * 0.00383 * 1.66538674279

= $6,378.43122

= $6,378.43

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Answer:

"high" should go in the blank. A correlation coefficient of .79 indicates a pretty strong positive correlation.

In the Venn diagram , the statement is Valid.

What is Venn diagram?

Venn diagrams are frequently used in mathematics, statistics, logic, teaching, linguistics, computer science, and business. They are also known as Set diagrams or Logic diagrams.

Here according to the Venn diagram , if person is  on the reality show , they must be self absorbed. But Laure is not self absorbed so she cannot be on the reality show.

Hence the statement is valid.

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(a) The amount of square feet of laminate flooring Samantha need to purchase for her kitchen is 268 ft².

(b) The amount of linear trim of feet Samantha need to purchase for her kitchen 80 ft.

Perimeter is the total distance around an plane figure.

(a) To calculate the amount of square feet for laminate flooring, she needed to purchase for her kitchen, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

(b) To calculate the amount of the linear trim of feet needed, we find the Perimeter of the shape

Hence, The amount of linear trim of feet is 80 ft.

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Step-by-step explanation:

This question uses trigonometry, a subject you may have learnt. Using the functions sin, cos, tan and the abbreviation SOHCAHTOA, you'll need to use sin to find your answer.

sin = opposite/hypotenuse

sin 25  = 112/d

d = 112/sin 25

d = 238.5661004

Answer: 238.6 metres

The unknown measurements for the triangle are given as follows:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Considering that the sum of the measures of the angles is of 180º, the missing angle is given as follows:

m < B = 180 - (130 + 12)

m < B = 38º.

Then the relation is given as follows:

sin(130º)/12 = sin(38º)/b = sin(12º)/c

Then the length b is given as follows:

sin(130º)/12 = sin(38º)/b

b = 12 x sine of 38 degrees/sine of 130 degrees

b = 9.6.

The length c is then given as follows:

sin(130º)/12 = sin(12º)/c

c = 12 x sine of 12 degrees/sine of 130 degrees

c = 3.3.

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The linear function with a slope of 1/2 and passing through the point (4, -2) is given as follows:

y = x/2 - 4.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

The gradient of the function is given as follows:

m = 1/2.

Hence:

y = x/2 + b.

When x = 4, y = -2, hence the intercept b is obtained as follows:

-2 = 4/2 + b

2 + b = -2

b = -4.

Hence the equation is:

y = x/2 - 4.

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Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

The value of ss total while ss between is 164 and ss within is 70.2 is given by 234.2.

We know that the sum of square in total is equal to the sum of sum of square in between and sum of squares within.

In mathematical word, ss (total) = ss (between) + ss (within)

Here given that the ss (between) is given by = 164

and ss (within) is given by = 70.2

So the ss(total) is given by,

ss(total) = ss(between) + ss(within) = 164 + 70.2 = 234.2.

Hence the required value of ss total is 234.2.

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Answer:

integrates by parts:

             U = x   dV = f''

            dU  = dx   V = f'

The integral becomes:

     x f'  - integral f' dx

 =   x  f'  -  f

limit as x->4 :   4 * f'(4) - f(4) = 4 * -3 -  7

                                  = -12-7 = -19

limit as x->1 : 1 * f'(1) - f(1) = 1 * 9 - 8 = 1

subtracting: -19-1 = -20

Step-by-step explanation:

Answer:

Step-by-step explanation:

One of the figures would be 3/5

Another 18/30

or 27/45

Using a metric standard of 2 meters, then the area of the red triangle would be 54m². The area of the garden would be; 500m²

Using typical walkway widths to 6 ft, to calculate the area the red triangle to be 486 square feet and the area of the garden to be about 4400 square feet, rounding up.

Then it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, therefore, 9 ab is a good estimate of the area of the garden.

Area of the triangle estimate:

A = 36ft × 27ft /2

A = 486 square feet

To estimate 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be;

A = 9m × 12m /2 = 54 m²

The area of the garden = 9 × 54 = 486m²

Then rounded reasonably to 500m²

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The equation of the line is parallel to -5x+y=-4 and passes through the point (−7,−9) is y=5x+26.

Given that, the equation of the line is parallel to -5x+y=-4 and passes through the point (−7,−9).

The given equation can be written as y=5x-4.

Now, compare y=5x-4 with y=mx+c, we m=5

The slope of a line parallel to given line is m1=m2

So, the slope of the line parallel to the given line is 5.

Now, substitute m=5 and (x, y)=(-7, -9) in y=mx+c, we get

-9=5(-7)+c

c=-9+35

c=26

So, the equation is y=5x+26

Therefore, the equation of the line is parallel to -5x+y=-4 and passes through the point (−7,−9) is y=5x+26.

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Answer:

The answer to your problem is, x-30 is speed of the car.

Step-by-step explanation:

Let the object is moving n miles in one hour.

Let the speed is m miles per hour.

We know that our friend Mary has traveled 200 miles in her car and 200 miles by train. And shown Mary also modeled the total time for her trip;

[tex]\frac{200}{x}[/tex] + [tex]\frac{200}{x-30}[/tex]

The car that was given had traveled at a rate that was 30 miles per hour slower than the train.

speed of the train is x miles per hour

speed of the car = x - 30 miles per hour.

Thus the answer to your problem is, x-30 is speed of the car.

Answer:

To perform the matrix operations, we need to ensure that the dimensions of the matrices match. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

A is a row matrix with 1 row and 3 columns, while B is a matrix with 2 rows and 2 columns. Since the number of columns in A does not match the number of rows in B, we cannot calculate AB.

However, we can perform CA since C has 3 rows and 2 columns, which matches the dimensions for left multiplication by A (a 1x3 matrix).

C = 2 2 0

2 3 3

4 0 1

A = 3 2 1

CA = (3)(2) + (2)(2) + (1)(4) (3)(2) + (2)(3) + (1)(0)

(3)(2) + (2)(3) + (1)(0) (3)(2) + (2)(0) + (1)(1)

(3)(0) + (2)(3) + (1)(1) (3)(0) + (2)(3) + (1)(1)

CA = 14 12

12 7

7 9

Therefore, CA = 14 12

12 7

7 9

Answer:

c=7/2, a = 5/34

Step-by-step explanation:

The estimated cost of sending a letter that weighs 5 ounces is $9.75.

What is estimated cost  ?

Estimated cost refers to an approximate or calculated value of the cost of something. It is a value that is based on estimation, rather than being an exact or precise value.

Since the equation given is a linear equation with a slope of 0.25, we can interpret the slope as the cost per ounce of postage. This means that for every additional ounce, the cost of postage increases by $0.25.

To estimate the cost of sending a letter that weighs 5 ounces, we can use the given equation:

y = 0.25x + 8.50

where x = 5 (since the weight of the letter is 5 ounces).

Plugging in x = 5, we get:

y = 0.25(5) + 8.50

= 1.25 + 8.50

= 9.75

So the estimated cost of sending a letter that weighs 5 ounces is $9.75.

Looking at the graph provided, we can also see that the point (5, 9.75) lies on the line, which confirms our estimate.

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The slope of line is 400 and plane A's rate of speed is 400 mi/h

The slope of line is 475 and plane B's rate of speed is 475 mi/h

Therefore, Plane B is flying faster.

For Plane A the equation y = 400x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles.

We know the equation of line is y =mx + c

m = slope of line

So, on comparing slope of line is 400 and plane A's rate of speed is 400 mi/h

For Plane B

We know the formula for slope = (y₂-y1)/(x₂ - x₁)

= (950 - 475)/(2 - 1)

= 475

So, slope of line is 475 and plane B's rate of speed is 475 mi/h

Therefore, Plane B is flying faster.

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