You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)

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Hey there! :)

Answer:

y = 7/2x - 11

Step-by-step explanation:

Use the slope formula to calculate the slope:

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

Plug in the coordinates:

\(m = \frac{10-(-4)}{6-2}\)

Simplify:

\(m= \frac{14}{4}\)

\(m = \frac{7}{2}\)

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11

Answer:

The non-negative zero of the function f(x) is x = 2.

Step-by-step explanation:

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

\(x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}\)

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

\(x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4*6*(-6)} }{2*6} = \frac{9 \pm 15 }{12}\)

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

Answer: 79 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

The fraction of the total is ...

  (1/6) of (3/4) = (1×3)/(6×4) = 3/24 = 1/8

1/8 of the total garden is carrots.

We know that

Maxine works for 8 hours.

The rate is $16 per hour.

The total earning would be

Answer:

x = 8.9 units

Step-by-step explanation:

We will use the theorem of intersecting tangent and secant segments.

"If secant and tangent are drawn to a circle from an external point, the product of lengths of the secant and its external segment will equal the square of the length of tangent."

8(8 + 2) = x²

x² = 80

x = √80

x = 8.944

x ≈ 8.9 units

Therefore, length of the tangent = 8.9 units

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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The value of c using sine rule is 56.2 cm ( nearest tenth)

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

Sine rule is used to find unknown angle and unknown sides when the corresponding angle and sides of the other part are given

The corresponding line to angle 28° is 27cm and the corresponding line to angle 102° is c. therefore

c/sin102 = 27/sin28

27×sin102 = c× sin28

26.4 = 0.47c

divide both sides by 0.47

c = 26.4/0.47

c = 56.2cm

therefore the magnitude of c using sine rule is 56.2 cm( nearest tenth)

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Answer:

1234

Step-by-step explanation:

1+^s2>-1=12

Answer:

Step-by-step explanation:

This is a hypothesis testing involving population proportion. The null hypothesis would be that fewer than or 50% of the people would favor spending money for a sewer system. Since she will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure, then the alternative hypothesis which she should test is that more than 50% of the people would favor spending money for a sewer system.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.

Here,

You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.

Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."

For instance, two lines or line segments that cross each other create two pairs of vertical angles.

When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

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Answer:

15/100

Step-by-step explanation:

8/10 is equal to 80/100

95/100 - 80/100 = 15/100

Answer:

40x+24y-56=

8(5x+2y-7)

Step-by-step explanation:

The general equation represented as: \(\mathbf{x^2 = 2py}\)

The equation is given as:

\(\mathbf{x^2 = 64y}\)

Recall that:

\(\mathbf{x^2 = 2py}\)

Where:

\(\mathbf{F = (0,\frac p2)}\) --- the focus

\(\mathbf{y = -\frac p2}\) --- the directrix

Compare \(\mathbf{x^2 = 2py}\) and \(\mathbf{x^2 = 64y}\), we have:

\(\mathbf{2py = 64y}\)

Divide both sides by 2y

\(\mathbf{p = 32}\)

Recall that:

\(\mathbf{F = (0,\frac p2)}\)  and \(\mathbf{y = -\frac p2}\)

So, we have:

\(\mathbf{F = (0,\frac {32}2)}\)

\(\mathbf{F = (0,16)}\)

\(\mathbf{y = -\frac p2}\)

\(\mathbf{y = -\frac{32}{2}}\)

\(\mathbf{y = -16}\)

The axis of symmetry is \(\mathbf{x = 0}\)

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4580 or 4600 is the best answer I have gotten for this question

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.8982

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that \(s = 0.55\)

What is the margin of error for her 99% confidence interval?

\(M = T\frac{s}{\sqrt{n}}\)

\(M = 2.8982\frac{0.55}{\sqrt{18}}\)

\(M = 0.3757\)

The margin of error for her confdence interval is of 0.3757.

Margin of error is the distance between the mean and the limit of confidence intervals. The margin of error for the given condition is 3.28 approximately.

Suppose that we have:

Sample size n  < 30

Then the margin of error(MOE) is obtained as

Margin of Error = \(MOE = T_{c}\dfrac{\sigma}{\sqrt{n}}\)

\(MOE = T_{c}\dfrac{s}{\sqrt{n}}\)

where \(T_{c}\) is critical value of the test statistic at level of significance

For the given case, taking the random variable X to be tracking the height of trees in the sample taken of trees from the considered forest.

Then, by the given data, we get:

\(\overline{x} = 4.8\), \(s = 4.8\), n = 18

The degree of freedom is n-1 = 17

Level of significance = 100% - 99% = 1% = 0.01

The critical value of t at level of significance 0.01 with degree of freedom 17 is obtained as T = 2.90 (from the t critical values table)

Thus, margin of error for 99% confidence interval for considered case is:

\(MOE = T_{c}\dfrac{s}{\sqrt{n}}\\\\MOE = 2.9 \times \dfrac{4.8}{\sqrt{18}} \approx 3.28\)

Thus, the margin of error for the given condition is 3.28 approximately.

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Answer:

i think its 4

Step-by-step explanation:

im not to sure but this what i got

sorry if wrong

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Answer:

It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal. It can be concluded that the ships are 8 miles apart.

Answer:

60

Step-by-step explanation:

i did the math yeah

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

x=20

Step-by-step explanation:

The angle B in triangle ABC is 60° i.e. C.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now

∠NAB+∠CAB=180°  (Supplementary angles)

∠CAB=180-∠NAB

=180-100

∠CAB=80°

As

∠A+∠B+∠C=180° (sum of all angles of a triangle =180°)

∠B=180-80-40

∠B=60°

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The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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