Write the equation of a line in point slope form that has a slope of 2 and passes through the point (-2,5)

The equation of the given graph is y = (x + 4)² -5.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The vertex form of a parabola is y = (x - h)² + k which is opened upward direction and vertex is (h, k).

From the graph, the vertex of the quadratic equation is (-4, -5)

Thus h = -4 and k = -5.

Putting h = -4 and k = -5 in y = (x - h)² + k

y = (x - (-4))² + (-5)

y = (x + 4)² -5

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We utilize the z statistic to find the probability percentage. Calculating the z value and then looking up the p value using the common probability tables is the process to follow. The z score formula is:

Z = (x - )/ ( / sqrt(n)

where,

Standard deviation equals 2

sample size, n With n = 5, calculating the z and p values:

The tables show that p(5) = 0.8686.

For n = 6, calculate the z and p values as follows:

The tables show that p(6) = 0.8888.

If both days to occur, the probability that each day will last no more than 11 minutes is as follows:

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a) The value of x is -6

b) The value of the expression is -3 .

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a) x-2=xy+16

y= 4 a solution to the equation

Substitute y=4 into the equation.

x-2=x(4)+16

x-2=4x+16

-2-16=4x-x=3x

-18=3x

x=- 18/3= -6

The value of x is -6

b)  [tex]x^y+xy^2[/tex]

substitute x= -3 and y =2

(-3)²+(-3)(2)²

= 9 - 12

= -3

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After evaluating those terms,

we get the answer as

1.  -7/6 - (-1/9) =[tex]\frac{-19}{18}[/tex]

2.  -1/3 + 5/7   = = [tex]\frac{8}{21}[/tex]

A fraction is a number that has a numerator as well as a denominator.

1 / 2  is an example of a fraction. The top part of the fraction is the numerator and the bottom part of the fraction is the denominator.

Fractions represent one value. Dividing the numerator by the denominator shows what decimal value fractions have. For example,  1/2  is equal to 1  ÷  2 which equals 0.5.

in this we have to evaluate

1.    -7/6 - (-1/9)

= [tex]\frac{-7}{6}[/tex]  - ([tex]\frac{-1}{9}[/tex])

= [tex]\frac{-21+2}{18}[/tex]

=[tex]\frac{-19}{18}[/tex]

Hence , after solving we get the desired result as -19/18 .

2. -1/3 + 5/7

= [tex]\frac{-1}{3}[/tex] + [tex]\frac{5}{7}[/tex]

= [tex]\frac{-7 + 15}{21}[/tex]

= [tex]\frac{8}{21}[/tex]

Hence, after solving we get the desired result as 8/21 .

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x-intercept is (-250, 0) and y-intercept is (0, 100)

What is  x-intercept and  y-intercept

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.

First, find x-intercept

For x-intercept it means y = 0

observe the graph and see the blue line cuts the x-axis when y = 0

We see, x = -250

so, the x-intercept is = (-250, 0)

Now, same thing do to find y-intercept

For y-intercept it means x = 0

observe the graph and see the blue line cuts the y-axis when x = 0

We see, y = 100

so, the y-intercept is = (0, 100)

Therefore, x-intercept is (-250, 0) and y-intercept is (0, 100).

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Answer:

25

Step-by-step explanation:

the equation is a^2+b^2=c^2

7^2=49

24^2=576

49+576=625

the square root of 625 is 25

The temperature on the fifth day in January is -7°C.

It should be noted that a mean simply means the average of a set of numbers that are given.

Since the mean temperature for the first 4 days in January was 3°C. The rural temperature will be:

= 4 × 3°C

= 12°C

The mean temperature for the first 5 days in January was 1°C. The total temperature will be:

= 5 × 1°C

= 5°C

The temperature of the fifth day will be the difference between the temperature. This will be:

= 5°C - 12°C

= -7°C

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For the given equation, the slope is 3 and the y-intercept is -5. From the graph, it is possible to see that the point (0,0) does not satisfy the equation.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=x+19. A line equation also can be represented by the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex].

m= the slope.

[tex](x_1,y_1)[/tex]= the coordinate of a point.

For the given example: m=1 and b=19.

The question gives: y + 2 = 3(x - 1). Therefore,

y + 2 = 3(x - 1)

y=3x-3-2

y=3x-5

If y=3x-5 . Here, you have a standard form of a linear equation y=mx+b. Where:

m= the slope. It can be calculated for Δy/Δx.

b= the constant term that represents the y-intercept

Thus, the slope is 3 and the y-intercept is -5.

For this, you should do a table with points

x     y= 3x-5

-2   y=3*(-2)-5=-6-5= -11

-1    y=3*(-1)-5=-3-5= -8

0   y=3*(0)-5=0-5= -5

1    y=3*(1)-5=3-5= -2

2    y=3*(2)-5=6-5= 1

Draw a graph from these points, see the attached image.

The point (0,0) does not satisfy the equation because when x=0 because y is different than zero (0). See below.

y= 3x-5, for x=0

y=3*0-5

y=0-5

y=-5

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The measure of each angle of this isosceles triangle is equal to 27°, 27°, and 126°.

An isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles that have the same measure or are equal in magnitude.

Let the variable x represent the angles that have the same measure or are equal in magnitude. Therefore, the sum of the measures of the angles of this isosceles triangle is given by this mathematical expression:

x + x + (45​° + 3x) = 180°.

5x + 45​° = 180°.

5x = 180° - 45​°

5x = 135°

x = 135°/5

x = 27°

Therefore, the measure of each angle of the isosceles triangle is given by:

First angle = 27°.

Second angle = 27°.

Third angle = 45​° + 3(27) = 126°.

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Answer:

The answer is 3.

Step-by-step explanation:

The highest coefficient is 3 (5x^3), the second one is 2 (4x), and the other two without coefficient are considered 1.

Answer: 5/8

Step-by-step explanation:

5/8 is already a fraction

The missing parts of the table for the function are 49, 1 and 49 respectively

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

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Answer:

Yes they are equivalent.

Step-by-step explanation:

$12 divided by 3 is $4
$36 divided by 9 is also $4
Therefore they are equivalent.

Your welcome

Answer:

Yes!

Step-by-step explanation:

You divide 3 by 12 because that's how much they work for an hour. That means they make $36 for 9 hours.
12 ÷ 3 = 4

36 ÷ 9 = 4

They have the same answer which makes them equivalent.

The area of the of the rectangle is 5.25square inch and the area of the square is 6.25square inch. Therefore the square has larger area.

The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using formulas.

Area formula in rectangle is L× W and in square is L^2. This happened in square becos square has all it's sides equal. Where L and W are length and Width respectively

The area of rectangle with dimension 7inches by 3/4 inch is 7×3/4= 5.25 square inches

The area of the square with dimension 2 1/2 inches is( 5/2)^2= 25/4= 6.25m

Therefore the square has larger area

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Answer:

the fourth one is the right one

The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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Answer:The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation:Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

Since it is labeled that this triangle has two equal sides, it is isosceles. Isosceles triangles' acute angles are always congruent, so we can infer that there are two angles with a measurement of 29 degrees. Knowing that all of the angles in a triangle add up to 180 degrees, we can set up this equation:

2*29 + 11x - 65 = 180

58 + 11x - 65 = 180

-7 + 11x = 180

11x = 187

x = 17

Knowing that "x = 17" we can find the measurement of the obtuse angle:

11*17 - 65

= 187 - 65

= 122

The ratio of 2 meters to 76 centimetres is 50: 19.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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Answer:

1. y=2x+3

2. y=5x+3

Step-by-step explanation:

1. to find equation of the line we need the gradient and y-intercept

gradient=2

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

9 = 2(3)+c

9 = 6+c

9-6 = c

c = 3

to write the equation we only input gradient and y-intercept:

y=2x+3

2. to find the equation of the line we need the gradient and y-intercept

gradient=5

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

8 = 5(1)+c

8 = 5+c

8-5 = c

c = 3

to write equation we only input gradient and y intercept:

y=5x+3

Answer:

3.87

Step-by-step explanation:

b =

[tex] \sqrt{8 ^{2} -7 ^{2}} [/tex]

Answer:

-0.2

Step-by-step explanation:

14.9-15.1= -0.2

To do equations like this in the beginning I used to switch the terms and then add a negative symbol in front of it

I would solve it like this

15.1-14.9

.2

And now since I switched the terms I change the sign to negative

-0.2

Hopes this helps please mark brainliest

The slope of the line that passes through the points is 1/ 4

The gradient or slope of a line is a value or number describing both the direction and the steepness of a line.

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/ x₂ - x₁

Where;

Now, substitute the values, we have;

Slope, m = (-11 - ( -10)/ ( -4 - 0)

expand the brackets

Slope, m = - 11 + 10/ -4

Add the values

Slope, m = -1/ -4

Divide the values

Slope, m = 1/ 4

Hence, the value is 1/ 4

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Answer:

1/4

Step-by-step explanation:

With the help of probability we can conclude our answer.

acc to our question-

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Check answer below in the image.

After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
        The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

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Answer:ok

Step-by-step explanation:

Answer: 1/5 25/48

maybe?

Options C and E are correct. The expression can be written in the forms of

We have the length of the room as 12 feet

The width of the room = [tex]10\frac{1}{2}[/tex] feet

The expansion of the = 12 +x

What is the area of a rectangle?

The area of a rectangle is given as lw = length x width

Hence we would have the following:

(12+x)10.5 = area

We would have to open the bracket as well

126 + 10.5x

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Complete question

1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet