Equation of a line two-points form

The line passes through (1, -2) and (-2, -2)

Answer:

True

Step-by-step explanation:

Answer:

(3, -4)

Step-by-step explanation:

To solve the system of equations by substitution, start by labelling the 2 given information.

y = x - 7 -----(1)

5x + 2y = 7 -----(2)

Substitute (1) into (2):

5x + 2(x - 7) = 7

Expand:

5x + 2x - 14= 7

7x = 14 + 7

7x = 21

Divide both sides by 7:

x = 21 ÷ 7

x = 3

Substitute into (1):

y = 3 - 7

y = -4

Thus, the solution to the equations is (3 , -4).

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Answer: y=18, x=30

Step-by-step explanation:

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

Answer:

3+ 1x = y

Step-by-step explanation:

a flat rebate means no matter how many days it will only be $3 so you add the 3 and you don’t know how many day you’ll rent the shoes so you put a variable next to the 1 and the 1 times however many days plus 3 will be your cost

Based on the relationship in the given table the correlation coefficient is -0.9985 .

Let us define a few variables first.

X: X Values

Y: Y Values

Mx: Mean of X Values

My: Mean of Y Values

Deviation scores = X - Mx , Y - My

Deviation Squared = variance = (X - Mx)² , (Y - My)²

Product of Deviation Scores = (X - Mx)(Y - My):

Now we will use the defined variables to calculate the correlation coefficient

X Values

∑ = 118.5

Mean = 11.85

∑(X - Mx)² = Sx = 1283.705

Y Values

∑ = 206

Mean = 20.6

∑(Y - My)² = Sy = 16804.4

X and Y Combined

N = 10

∑(X - Mx)(Y - My) = -4637.7

R Calculation

r = ∑((X - My)(Y - Mx)) / √((Sx)(Sy))

r = -4637.7 / √((1283.705)(16804.4)) = -0.9985

The correlation coefficient is the only statistical measure of the given strength of a linear relationship that is amongst the two variables. Its values normally  range from -1 to 1.

Based on a correlation coefficient of 1, which indicates a completely negative or inverse relationship, values in one series increase as those in the other decline, and vice versa.

Hence the correlation coefficient is -0.9985

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The total number of smoothies that Autumn can make with the yoghurt is 165.

We know that the total number of cups of yoghurt that Autumn needs to make smoothies is 55. Each smoothie uses 1/3 cup of yogurt. We need to calculate the total number of smoothies that Autumn can make with the yogurt.

Let the total number of smoothies be represented by the variable "N''. We will use the unitary method. The total number of smoothies that can be made is the ratio of the total number of cups of yoghurt to the fraction of a cup used to make one smoothie.

N = 55/(1/3)

N = 55*3

N = 165

Hence, Autumn can make 165 smoothies from 55 cups of yogurt.

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Answer:

A = 48 cm^2

P = 38

Step-by-step explanation:

Area:
We can calculate the area of the more left shape first. We know that one side is 9 cm, but the second side is trickier. For the second side, we need to take the total measurement of the bottom area and subtract it from 6, because that is the part of the 10 cm we don't need. This gives us the first box is 9 cm x 4 cm = 36 cm^2. Then for the second box, we take the 6 cm and 2 cm giving us 6 cm x 2 cm = 12 cm^2. 36 cm^2 + 12 cm^2 = 48 cm^2.

Perimeter:
We will take all of the easy measurements first. We take 9 + 10 + 2 + 6 = 27 cm. Then we need to take 6 away form 10 again giving us 4, and 2 away from 9, giving us 7. 27 + 4 cm + 7 cm = 38 cm.

We need to find the equation of the line that joins the points ( 4 , 7 ) and ( 6 , 2 )

The general equation of the line is ;

where m is the slope and b is y - intercept

the slope = Rise/Run

Rise = 7 - 2 = 5

Run = 4 - 6 = -2

so, the slope :

So, the equation of the line :

Using any point from the given points to find the value of b

So, using ( 4 , 7 )

when x = 4 , y = 7

So, the equation of the line is:

Answer:

constant term = 6

Step-by-step explanation:

if you multiply the constant terms within each factor together you get the constant term of the expansion of p(x) , that is

constant term = 3 × 2 × 1 = 6

Okay, here we have this:

We will take as the first term the upper squares and as the second term the lower ones, and we obtain that:

Here we obtain that the correct answer is the option D.

Answer: L BOZO

Step-by-step explanation:

L+RATIO=BOZO

The value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths is 13.11.

In algebra, we often deal with equations with unknown values ​​represented by variables. To solve such an equation, we need to find the values ​​of the variables.

A one-step equation is an algebraic equation that can be solved in just one step. Solve it and you've found the values ​​of the variables that make the equation true. To solve a one-step equation, perform the inverse (reverse) of the operation performed on the variable to get the variable itself.

For the given case, the  equation can be written as follows:

[tex]\frac{x}{5\frac{7}{10} }[/tex] = [tex]2\frac{3}{10}[/tex]

x = [tex]5\frac{7}{10}[/tex] × [tex]2\frac{3}{10}[/tex]

x = 5.7 × 2.3

x = 13.11

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Given g(x) = 3x - 5 and h(x) = 2x - 4.

We need to find (g o h)(x).

The composition of function is as follows:

Thus, the answer is 6x - 17.

The cost of Anya's lunch would be = $25

Lunch is the type of meal that is taken after the noon day or in the afternoon.

The percentage of tip left by Jordyn and Anya = 30%

The amount of the tip = $14.10

If 30% = 14.10

100% = $x

$x = 100 × 14.10/30

$x = 1,410/30

$x = 1,410/30

$x = $47

This is the total amount for the cost of lunch.

To find Anya's cost for lunch would be;

Total cost - Jordyn lunch cost = Anya lunch cost

Anya lunch cost = 47 - 22

= $25

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

x = 11.1

Note that the Pythagora's theorem is applied in solving this exercise

The Pythagora's theorem states that "the square of the hypotenuse equals the sum of the squares of the other two sides"

Hypotenuse is the longest side of the right-angled triangle:

Hypotenuse = 22

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

Since Kelly chooses one tile, places it back in the box, and then choose another tile, we have that the total outcomes are 4x4 = 16.

Now, we can write easily all the outcomes :

notice that on the first row, only the event (8,1) gives us that the sum is greater than 7.

On the second row,we have the same for events (4,4),(5,4) and (8,4)

On the third row only (1,5) gives us a sum lesser than 7, then here we have 3 more events that fit our criteria.

On the last row, all events gives us a sum greater than 7,then we have another 4 events.

Then, the probability that the sum of two chosen tiles is greater than 7 is:

EXPLANATION

Since the average speed is given by the equation:

Computing s(10) and s(12):

Now, computing s(12):

In conclusion, the solutions are:

s(10) = 6 miles per hour

s(12) = 7 miles per hour

Using the perpendicular bisector theorem, we have the following:

then we can write the following equation:

solving for x, we have:

we get x = 8. Then, the length of FH is:

therefore, FH = 16

sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.

The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.

One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.

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Maria spends $22 on lottery tickets every week and $133 every month on food yearly

This means that in a year

there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets

and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food

The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is

To answer this question, we need to take into account that the two ships continue sailing at the same rate and direction, and we can solve this using the unit rate concept, as follows:

If they continue sailing at this same rate, then, after two hours they will be:

They will have 2.56 miles more distance between them.

Then, they will be separated by a distance of:

In summary, we have that the answer is 5.76 miles.

Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

Answer:

Translated right [tex]\frac{7}{2}[/tex] units and vertical stretch

OR

translated right 3.5 units and vertical stretch

bcz

[tex]\frac{7}{2} =3.5[/tex]

Step-by-step explanation:

The absolute function is given as:

[tex]g(x) = |1-2x+6|[/tex]

If we simplify the equation, then we have

[tex]g(x) = |1-2x+6|\\g(x)=|-2x+6+1|\\g(x)=|-2x+7|\\g(x)=2|x-\frac{7}{2} |[/tex]

Now we can say that the transformation of g(x) to the parent function will be translated right [tex]\frac{7}{2}[/tex] units and vertical stretch (bcz you have a number (2) multiplying the function).

If the sign of the number that adds to the independent variable is negative, the transformation will be translated to the right, and if it is positive, it will be translated to the left.

Given:

2+4+6+8+10+.....+50

Let the sum of the first n natural numbers be

Therefore the sum of first 25 positive even numbers is

Therefore,The sum is the product of the number of terms and the number of terms plus one.

Option B is the correct answer.

The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

To find the point slope of an equation for the line graphed:

First you have to find the slope which is 4. To get that you get 2 points and do rise/run. I chose the 2 points (-2,-3) and (-1,1).

Since the formula for point-slope form is:

Here [tex](y-y_{1}) = m(x-x_{1})[/tex], the equation should pass through the point (-1,1)

Therefore, the point-slope form is:

y - 1 = 4 ( x + 1)

Hence the answer is, The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

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Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

[tex] \frac{6}{8} = \frac{18}{y} [/tex]

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

$164327.5 is  the total profit made from the sale of 120 robot kits

A model function is a way of describing a real-life system or situation using mathematical concepts and language

Given: the model function for profit, P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

To determine the total profit from the sale of 120 robot kits, substitute x = 120 into the profit function:

P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

P(120) = 0.1(120)³ - 0.6(120)² + 1.4(120) - 0.5

P(120) = 172800 - 8640 + 168 - 0.5

P(120) = $164327.5

Therefore, the total profit from the sale of 120 robot kits is $164327.5

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