) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?​

Answer:

Hey there : y= 3x - 3

Answer:

y = [tex]\frac{3}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-2)}[/tex] = [tex]\frac{3}{0+2}[/tex] = [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Answer:The following what

Step-by-step explanation:

what is the following and there is no questions.

===================================================

Explanation:

She has already ran 8 miles, so she has 26-8 = 18 miles left to go.

She runs at a pace of 7.5 mph, which means she has 18/(7.5) = 2.4 hours left to go.

I used the equation distance = rate*time, and solved for time to get time = distance/rate.

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Another approach:

Here's how you can use algebra.

x = time she has left in hours

7.5x = distance covered in those x hours

7.5x+8 = total distance

7.5x+8 = 26

7.5x = 26-8

7.5x = 18

x = 18/(7.5)

x = 2.4

Answer:

A. $1500.00

Step-by-step explanation:

Assuming this is a simple interest savings account.

Simple interest formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

⇒ I = Prt

⇒ 225 = P(0.03 ×5)

⇒ 225 = P(0.15)

⇒ P = 225 ÷ 0.15

⇒ P = 1500

Therefore, Timothy started the account with $1500.00.

Answer:

x=1, y=1. (1, 1).

Step-by-step explanation:

y=-5x+6

y=3x-2

------------

-5x+6=3x-2

-5x-3x+6=-2

-8x+6=-2

-8x=-2-6

-8x=-8

8x=8

x=8/8=1

y=3(1)-2=3-2=1

The value of x will be 158. The value of x is obtained by simplifying the equation.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Identity used;

(x+a)(x-a) = x² - a²

Given expression;

3(x-7)(x+7) - (x-1)(3x+2) = 13

Solving the equation step by step;

[tex]\rm 3(x^2 - 7^2 ) - [x(3x+2)-1(3x+2) ]= 13\\\\ 3x^ 2 -147 -[3x^2 +2x -3x-2] = 13 \\\\ 3x^2 -147 -[3x^2 -x-2] = 13\\\\ 3x^2-147-3x^2 +x+2 = 13 \\\\ x= 13+145 \\\\ x= 158[/tex]

Hence, the value of x will be 158.

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Answer:

distance between -5 to 0 = 5 units

Answer:

26,28

Step-by-step explanation:

We can make a system of equations based on the information given

first we can make one for the perimeter

and one for the area using herons formula

(x and y are the two unknown sides)

[tex]84=30+x+y[/tex]

[tex]336=\sqrt{42(12)(42-x)(42-y)}[/tex]

Now solve for x and y or you can find it by graphing

x and y = 26 and 28, the order does not matter since they are both unkown

so the two sides are 26 and 28

Answer:

16500

Step-by-step explanation:

Answer:

============================

[tex]\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}[/tex]

Bring both fractions into common denominator:

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

Simplify:

[tex]\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =[/tex]

[tex]\dfrac{4\sqrt{14} }{7-4} =[/tex]

[tex]\dfrac{4}{3} \sqrt{14} }[/tex]

Compare the result with given expression to get:

The coordinates of the point that is 4/5 of the way from T to S is (2,10)

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

[tex](x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (10 , 50)[/tex]

This gives

(x,y) =  (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

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Answer:  [tex]x^2[/tex]  and  [tex]-2[/tex]

Step-by-step explanation:

original :

[tex](10x^3+3x^2)+(-20x-6)[/tex]

factored :

[tex]x^2(10x+3)+-2(10x+3)[/tex]

Answer :

[tex]x^2[/tex]  and  [tex]-2[/tex]

The value of y when x is equal to zero will be 330.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given function is;

y = 330 + 25x

We have to find the value of y when x is equal to zero.

So,

Put x = 0

y = 330 + 25x

y = 330 + 25(0)

y = 330

Hence, the value of y when x is equal to zero will be 330.

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The management, organisation, and technology factors contributed to this problem are listed below.

The  problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.

Airways was unable to evaluate and keep track of its marketing efforts.

The technology factor that contributed were:

The Organisation factors that contributed were

The Management factors that contributed were

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Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900

Answer:

432 mm²

Step-by-step explanation:

We need to cut out 3x3 squares from corners and make an open box. It's height will be 3mm(see the plan). So volume will be:
V = 12 * 12 * 3 = 432mm²

Answer:

I believe the answer would be option D

Step-by-step explanation:

the distance formula is

[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]

So, substituting the values of the coordinates, you will get the answer of D

Answer:

4x² + x - 7

Step-by-step explanation:

Given f(x) = -3 and g(x) = 4x² + x - 4, solve for (f + g)(x).

Step 1: Replace the function designators with the actual functions in f(x) and g(x); that gives us 4x² + x - 4 - 3.

Step 2: Simplify; that gives us the answer 4x² + x - 7.

Answer:

0

Step-by-step explanation:

Answer:

1. [tex]x = 2.45s[/tex]

2. The diving board is 45 ft high.

Step-by-step explanation:

• When Lindsey is 30 feet in the air, y = 30.

[tex]30 = -16x^2 + 33x +45\\\\-16x^2 + 33x +15 = 0\\\\16x^2 - 33x -15 = 0\\[/tex]

Using quadratic formula, solve for x:

[tex]x = \frac{33 + \sqrt[]{(-33)^2 - 4(16)(-15)} }{2(16)}[/tex]

[tex]x = 2.45s[/tex]

• If we calculate the height of Lindsey in the air when she is standing on the diving board, we can find the height of the diving board above the ground.

When she is standing on the board, x = 0 as no time has passed after jumping.

[tex]y = -16(0)^2 + 33(0) +45\\\\y = 45 ft[/tex]

Answer:

1

Step-by-step explanation:

Solutions to a systems of equations are when the (x, y) of two equations are equal with both equations remaining true or in other words when both equations intersect. So by looking at the graph, both equations seem to be linear so there should only be 0, 1, or infinitely many solutions. Since they do have one intersection there is only 1.

Answer:

The system of equations only has 1 solution.

Explanation:

This can be seen by looking at the graph and seeing where the lines were to intersect. For example, if the lines were parallel and never intersected, then there would be 0 solutions. On the other hand, if the lines were essentially the same and overlapped at every point, then there would be infinitely many solutions.

Answer:

12 km

Step-by-step explanation:

Let the total distance to be traveled = x

[tex]\sf \dfrac{4}{5} \ of \ the \ journey = 48\\\\[/tex]

        [tex]\sf \dfrac{4}{5}*x = 48\\\\[/tex]

             [tex]x = 48*\dfrac{5}{4}[/tex]

                = 12 * 5

            x = 60 Km

Distance still to traveled = 60 - 48 = 12Km

Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

The standard form of an absolute value function is f(x) = a|x - h| + k, where (h,k) is the vertex of the absolute value function.

The correct option is (h,k).

The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.

In general, the standard form of an absolute value function is given as:

f(x) = a |x - h| + k

where:

a is a non-negative constant that determines the shape and direction of the V-shaped graph of the absolute value function

h is the horizontal shift of the graph of the function from the origin (if h > 0, the graph shifts to the right; if h < 0, the graph shifts to the left)

k is the vertical shift of the graph of the function from the origin (if k > 0, the graph shifts up; if k < 0, the graph shifts down)

The vertex of the absolute value function is the point where the graph changes direction, that is, the point where the graph changes from sloping downwards to sloping upwards or vice versa.

Since the vertex is the point of the absolute value function where the graph changes direction, it lies at the center of the V-shaped graph. Thus, the vertex is located at the point (h,k).

Therefore, in the standard form f(x) = a |x - h| + k, (h,k) represents the coordinates of the vertex of the absolute value function.

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Answer:

- 9,800,000,000

Step-by-step explanation:

9.8 * [tex]10^{-9}[/tex]

Simplify 10 with exponent

[tex]{10}^{-9}[/tex] = -10 with 9 zeroes

Rewrite

[tex]{10}^{-9}[/tex] = -1,000,000,000

Place back into expression

9.8 * -1,000,000,000

Simplify by multiplying

- 9,800,000,000

Let me know if you have any questions!

Based on the calculations, Celine would earn a total of $65.00 assuming she delivered 10 packages.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variable.

Given the following function:

y = 20.00 + 0.45(x)

In this exercise, you're required to determine Celine's weekly earnings based on the number of packages she delivered. However, the number of packages delivered by Celine wasn't shown, thus, we would assume a value for the purpose of an explanation:

Assuming x = 10 packages.

Substituting the value of x into the function, we have:

y = 20.00 + 0.45(10)

y = 20.00 + 45

y = $65.00.

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Answer: [tex]\angle STU=34^{\circ}, \angle TVW=116^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^{\circ}}[/tex]

By the alternate interior angles theorem, [tex]\angle UTV=82^{\circ}[/tex], and we also know that [tex]\angle TUV=34^{\circ}[/tex].

Thus, by the exterior angle theorem,

[tex]\angle TVW=82+34=\boxed{116^{\circ}}[/tex]

Answer:

40

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40