A line passes through the point (-8, -7) and has a slope of 5/4

Write an equation in slope intercept form for this line


Plzzz help

The answer to these two questions are not the same. We don't agree with Noah.

Reason:

Let's start with the first question.

1. Given: rate = 10% increase, base/original number = 550 bison

10% of 550 is:

10% of 550 is 55. Hence, there is an increase of 55 bison this year. This year, there are 550 + 55 = 605 bison in the herd.

2. Given: rate = 10% decrease, percentage/final number = 550 bison

Applying the concept of Percentage = Base x Rate, we can get the Base or the original number of bison before the decrease by dividing Percentage over Rate.

Filling in the formula with the given values in question 2, we have:

Last year, there were 611 bison.

As we can see, the answer for number 1 is 605 bison while the answer for the number 2 is 611 bison. The answer of the two questions are not the same.

Answer:

the middle or bottom one

Step-by-step explanation:

Answer:

solution given:

5x+2y=-6

as we know that slope intercept form is

y=mx+c

so

making above equation like that

2y=-5x-6

y=-5/2x-3 is a slope intercept form

New data point is residual.

When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.

An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.

Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.

Thus, Option B. is correct.

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\(\\ \sf\longmapsto tanF=\dfrac{3.6}{2.4}\)

\(\\ \sf\longmapsto tanF=\dfrac{3}{2}\)

\(\\ \sf\longmapsto tanF=1.5\)

\(\\ \sf\longmapsto <F=tan^{-1}(1.5)\)

\(\\ \sf\longmapsto <F=56.3°\)

\(\\ \sf\longmapsto cosF=\dfrac{x}{3.2}\)

\(\\ \sf\longmapsto x=3.2cos(56.3)\)

\(\\ \sf\longmapsto x=3.2(0.5)\)

\(\\ \sf\longmapsto x=1.6\)

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= \(2*3*3\)

prime of 24=\(2*2*2*3\)

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

\(10=10/10=1\\20=20/10=2\\50=50/10=5\)

so 10 is your answer

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

For Data Set B, we see that the data is more varied. The absolute deviations are 4, 3, 2, 5. The average of these absolute deviations is 3.5. MAD_B = (4+3+2+5)/4 =3.5 M ADB

Hence, The average of these absolute deviations is 3.5.

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Answer:

Hope you find this helpful:

Step-by-step explanation:

The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given that ΔHPS≅ΔCNF.

We can see that angle H in triangle HPS is obtuse whereas angle N in triangle CNF is obtuse so comparing this we get,

6x - 29 = 115

6x = 144

x = 24

Comparing angle C and angle P we get

4z - 32 = 36

4z = 68

z = 17

Now the remaining angle in trinagle CNF is angle F which is 3y - 1 as we know that sum of angles in a triangle is 180 and the angle C and N are 36 and 115 we can say that F  is  29

Now to find y we equalise it to 29

3y - 1 = 29

3y = 30

y = 10.

The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.

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Answer:

If im not wrong is 409

Step-by-step explanation:

have a nice day :)

Answer:

22%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

\(27\)

Step-by-step explanation:

Let Sara's number be \(x\). Now, we can build an equation.

We have that \(-3(x-12)=-45\). Aha! Now we have a path to the solution!

We can divide both sides of the equation by \(-3\) to get \(x-12=15\).

Lastly, we add \(12\) to both sides to get \(x=27\).

So, Sara's number is \(\boxed{27}\).

Under the HL criteria, the triangles are congruent. The proof is so finished.

Since M is the midpoint of BC, we have BM = CM.

Therefore, by Hypotenuse-Leg (HL) congruence criterion, we have:

Therefore, ∆ABM ≅ ∆DCM; the triangles are congruent by HL criterion.

Hence, the proof is complete.

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Answer:

The answer is D

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer: Number of cars = 100

Step-by-step explanation:

Ratio given:

\(\frac{Cars}{Vans} =\frac{8}{3}\)

\(\frac{Motorbikes}{Vans} =\frac{2}{5}\)

Find cars if motorbikes = 15

\(\frac{15}{Vans} = \frac{2}{5}\)

\(Vans = \frac{75}{2}\)

Vans = 37.5

using the ration of cars to vans:

\(\frac{Cars}{37.5} =\frac{8}{3}\)

Cars = 100

Answer: 72

Step-by-step explanation:

0.11*a = 12

0.66*a = ?

Hint: We don't need to find a to answer this question! Just find the relationship with these equations.

0.66*a = 6*(0.11*a) = 6*12 = 72

Answer:

62.8

Step-by-step explanation:

Area of sector=(pi*r^2)*(theta/360)

Area of sector=(pi*100)*(72/360)=62.8

The area of the shaded sector AOB in terms of π is 20π units squared.

The area of a sector can be described as follows;

area of sector = ∅ / 360 × πr²

where

Therefore,

r = 10 units

∅ = 72°

Hence,

area of the sector = 72° / 360° × π10²

area of the sector = 7200 / 360 π

area of the sector = 20π units²

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Answer:

equal quantities something...

Step-by-step explanation: