please answer every question here

[tex]y=\frac{3}{5}x+3[/tex]

Slope-intercept form is the most common form of a linear function.

Formula

The formula for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this question, we must find both m and b by looking at a graph.

Slope

The slope is the change in y over the change in x. So, one way to find the slope is to identify 2 points on the graph and count the difference between them.

Another way to find the slope is to use the formula [tex]\displaystyle\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]. You can plug in the values from both points and solve to get the same answer.

Y-Intercept

The y-intercept is easy to find from a graph. The y-intercept is wherever the line intersects with the y-axis (the vertical axis). In this case, the line intersects at y-value 3. So, 3 is the b-value in the equation.

Final Equation

Using the information above, we can say that the equation of the line in slop-intercept form is [tex]y=\frac{3}{5}x+3[/tex].

The probability that a three shows on at least one of the dice is 11/36.

It should be noted that of probability means the likelihood of the occurence of an event.

The probability that a three shows on at least one of the dice will be:

= 11/36

This can be seen from the table that is attached.

The probability that the total is less than 8 will be:

= 21/36

= 7/12

Here, there are 21 places where the total is less than 8.

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It's very simple. Subract 554.26 from 866.32

then, we got the difference is

312.06

thank you

Brainlist please.

Answer:I beleive the answer is c-3600

Step-by-step explanation:

90$ a month for 48 months=4320

Plus the interest rate of 8.33  so 4320x0.833=3598.56

Then you have to round up from 3598.56 to the nearest 100 dollars, so it would be 3600.

Answer:

$13.50

Step-by-step explanation:

If I am taking off 40%, that means that the dress now cost 60% of the original cost.  .6 x 20 is 12.

You could also calculate the 20% off and subtract that from the original cost.  .4 x 20 =8.  Now 20 - 8 is also 12.

Now, we have to calculate the tax.  10% of 12 is .1 x 12 or $1.20.  We add the tax to the 12 to get 13.50.

Answer:

63.2

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

Answer:

the ans is 9000

Step-by-step explanation:

simple interest= 60000*3*5/100

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900.  Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary.  In this case, we know the average and we know all of the salaries, but two.  We can figure this out.

(7000 + 2x)/8 = 1100  multiple both sides by 8 to clear the fraction/

7000 +2x = 8800  Subtract both sides by 7000

2x = 1800  Divide both sides by 2

x = 900

The quadratic equation of the data is y = 7x^2 + 13x + 3

The table of values is given as:

X 0 -1 -2.

y 3 -3 -5​

When the above values are added to the graphing calculator, we have the following summary

a = 7

b = 13

c = 3

A quadratic equation is represented as:

y = ax^2 + bx + c

So, we have:

y = 7x^2 + 13x + 3

Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3

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Answer:Principal P = 2000

Amount= A

years=n 10.00

compounded 12 times a year t

Rate = 2.00 0.02

Amount = P*((n+r)/n)^n*t

Amount = = 2000 *( 1 + 0.02 /t)^ 10 * 12

Amount = 2000 *( 1 + 0 )^ 120

2000 *( 1 )^ 120

Amount = 2442.4

Step-by-step explanation:

The coordinate of each point is just the number it corresponds to.

a) 6

b) -5

c) 9

d) 0

Answer:

A. [tex]h(x)=\sqrt{x-3}[/tex]

Step-by-step explanation:

The parent function of [tex]\sqrt{x}[/tex] is translated to the left when [tex]h[/tex] is positive in the transformation [tex]\sqrt{x+h}[/tex].

If [tex]h[/tex] is negative, the graph translates towards the left with the distance equal to the value of [tex]h[/tex].

Here the graph moved 3 units towards the right. This means that [tex]h[/tex] is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

[tex]h(x)=\sqrt{x-3}[/tex]

The probability that the nest set of cars that would enter the lot is a sedan is given as 80 percent

The total number of trials can be seen to be 20 in number. The numbers that represents the sedan are 0, 1, 2

Now we would have to count the number of trials in these 20 that have 0, 1, 2

In the table we have 16 of these 0, 1 or 2 numbers

Hence we would have

16 /20

= 0.8

= 80 percent

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Answer:

Step-by-step explanation:

Discussion

i has to appear somewhere. That lets D and B out. They are both wrong.

C has only one i. It can't be right either. You need 2 i-s which will multiply to +1 when squared. That leaves you with a.

The way a is written, it can't be the answer either. For one thing, that 2 makes the answer question at best.

I would say there is no correct answer. Could you check the question? Also it would be a good idea to ask your instructor how this works, in case I'm wrong.

A  function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

A horizontal asymptote of a graph can be defined as a horizontal line at  y = b where the graph tend to approach the line as an inputs approach to infinity ( ∞ or –∞).

A slant asymptote of a graph is known as a slanted line y = mx + b where the graph approaches the line as the inputs approach the positive infinity ∞ or  to the infinity –∞.

Thus, a function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

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The experiment is illustrated below.

A. The type of experimental design is a completely randomized design experiment where experimental units of 200 female subjects which are allocated randomly to say 4 treatment groups with each treatment group consist of 50 female patients.

Here the treatment used is low-intensity shock therapy which is also factor or explanatory variable. After administrating above treatment for a period of say 2-3 weeks, the response in pain reduction can be measured among all patients in 4 treatment groups by comparing their earlier pain level for reduction in pain.

If the study consist of 100 male and female patients, the experimental design can be changed into randomized block design by blocking subjects by gender.

The above design can be double blinded by not letting either the patients or lab technicians aware about which treatment groups, each of these subjects are experimented against to keep the data confidential.

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Using the formula for the distance between two points, it is found that:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we use the formula to find the lengths for each side of the triangle.

For example, side AB has length given by the distance between (-6,3) and (3,5), hence:

[tex]AB = \sqrt{(-6 - 3)^2 + (3 - 5)^2} = 9.22[/tex]

Side AC has length given by:

[tex]AC = \sqrt{(-6 - 1)^2 + (3 - (-4))^2} = 9.9[/tex]

Side BC has length given by:

[tex]BC = \sqrt{(3 - 1)^2 + (5 - (-4))^2} = 9.22[/tex]

Since sides AB and BC have the same length, which is different of side AC, the triangle is an isosceles triangle.

The area of a triangle is given by half the length of the base multiplied by the height.

The midpoint of side BC, of length of 9.22 units, is of (2,0.5). The height is the distance of this point from point A, hence:

[tex]d = \sqrt{(-6 - 2)^2 + (3 - 0.5)^2} = 8.38[/tex]

Hence the area is:

A = 0.5 x 9.22 x 8.38 = 38.63 units squared.

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Answer:

All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function g(x) = 10x² - 100x + 213 written in vertex form is,

⇒ g(x) = 10(x – 5)² – 37.

Since, General equation is,

y = a (x - h)² + k

Where, (h, k) is vertex of parabola.

Hence, We get;

The vertex of the graph is (5, -37)

Since, the coefficient of x² is positive

Hence, The parabola has a minimum

And, The parabola opens up.

Thus, All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

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The exponential growth function is P(t) = 6.38 million x (1.0238^t).

The population of the city in 2018 is 7.35 million.

The year the population would be 9 million is 14.46 years.

The doubling time is 29.12 years.

FV = P (1 + r)^n

6.38 million x (1.0238^t)

Population in 2018 = 6.38 million x (1.0238^6) = 7.35 million

Number of years when population would be 9 million : (In FV / PV) / r

(In 9 / 6.38) / 0.0238 = 14.46 years

Doubling time = In 2 / 0.0238 = 29.12 years

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Answer:

D. g(x) is a reflection of f(x) over the x-axis.

Step-by-step explanation:

So when you have the equation: [tex]-2x^2[/tex] it's just negating the value of f(x), which is [tex]2x^2[/tex] and since f(x) represents the y-value, you're negating the y-value and the x-value is unchanged. So each point on f(x) was originally: (x, f(x)) and now it's (x, -f(x)). Since the y-value is changing, it's going to be reflecting across the x-axis. So g(x) is a reflection of f(x) over the x-axis.

The solution of x in the given expression [tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex] is 4. However, if it is [tex]\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}[/tex], it is 6.

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

[tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex]

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

[tex]\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}[/tex]

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

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Using the Factor Theorem to find the equation of the parabola, we have that:

[tex]a + b + c = -\frac{48}{7}[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have a horizontal parabola, defined as follows:

[tex]f(y) = a(y - y_1)(y - y_2)[/tex].

The roots are [tex]y_1 = -1, y_2 = -7[/tex], hence:

f(y) = a(y + 1)(y + 7)

f(y) = a(y² + 8y + 7).

The x-intercept is of x = -3, hence f(0) = -3, so:

[tex]-3 = 7a[/tex]

[tex]a = -\frac{3}{7}[/tex]

Then the equation is:

[tex]x = -\frac{3}{7}y^2 - \frac{24}{7}x - 3[/tex]

Then the sum of the coefficients is:

[tex]a + b + c = -\frac{3}{7} - \frac{24}{7} - \frac{21}{7} = -\frac{48}{7}[/tex]

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Answer:

Hello!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Final Answer: The inverse of f (x)=7x-4 is f^-1 (x)= (x+4)/7

QUE :

75 - [5 + 3 of (25 - 2 × 10)]

= 75 - [5 + 3 of ( 25 - 20)]

= 75 - [5 + 3 of 5]

= 75 - [5 + 15]

= 75 - 20

= 55

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Answer:

60

Step-by-step explanation:

140-80=60

[tex]f(x) = kx + m \\ f(x - 1) = k(x - 1) + m[/tex]

[tex]f(x - 1) - f(x) = 2 \\ k(x - 1) + m - kx - m = 2 \\ kx - k + m - kx - m = 2 \\ - k = 2 \\ k = 2[/tex]

[tex]f( - 2) = k( - 2) + m = 1 - m \\ k( - 2) + m = 1 - m \\ ( - 2)( - 2) + m = 1 - m \\ 4 + m = 1 - m \\ 2m = - 3 \\ m = \frac{ - 3}{2} [/tex]

[tex]f(x) = - 2x - \frac{3}{2} [/tex]

Answer:

Step-by-step explanation:

Answer:

The offers are equal at $7,000, after $7,000 more money will be made with a straight commission.

Step-by-step explanation:

.05x = .02x + 210  Subtract .02x from both sides.

.03x  = 210   Divide both sides by .03

x  = $7,000.

Answer:

The slope is -2

y =-2x - 1

Step-by-step explanation:

The slope is -2 or -2/1.

The slope is the change in y over the change in x.  The ordered pair is written in the form (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(1, -3) (0, -1)  The -1 and the -3 are the y coordinates.  We subtract these.

-1 -(-3)  is the same as

- 1 + 3  which is 2.  

(1, -3) (0, 1,) the 1 and the 0 are the x coordinates.  We subtract these

0 - 1  is -1

The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.

To write the equation we need the slope and the y intercept.  We have the slope now.  We need to find the y-intercept.  We will use the slope and one of the points to find the y-intercept.  It does not matter which of the two points (1,-3) or (0,-1).  I will use (0,-1)

y = mx + b The b is the y-intercept which is what we are looking for

-1 = -2(0) + b

-1 = 0 + b

-1 = b

y = -2x -1