Simplify the expression: 3(x-5)+ 2x-3

Answer:

f(-2) = 2

Step-by-step explanation:

The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.

Answer:

75.9 km/hr

Step-by-step explanation:

Distance between the highway and farmhouse is given as = 2km = a

The distance after the intersection and the highway = b

Let the distance between the farmhouse and the car = c

Using the Pythagoras Theorem rule

c² = a² + b²

c² = 2² + b²

Step 1

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

c² = 2² + b²

dc/dt (2c) = 4 + 2b

dc/dt =[ b/(√b² + 4)] × db/dt

We are told in the question that:

the car travels past the farmhouse on on the highway at a speed of 80 km/h.

We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.

This calculated using the obtained differentiation above:

dc/dt = [ b/(√b² + 4)] × db/dt

Where b = 6km

db/dt = 80km/hr

[6/(√6² + 4)] × 80km/hr

6/√36 + 4 × 80km/hr

6 × 80/√40

480/√40

= 75.894663844km/hr

Approximately = 75.9km/hr

In this exercise we want to calculate the speed of the vehicle to reach the farm, in this way we will find a speed of approximately:

[tex]75.9 km/hr[/tex]

To start this exercise we have to use some data informed in the text, like this:

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

[tex]c^2 = 2^2 + b^2\\\frac{dc}{dt} (2c) = 4 + 2b\\\frac{dc}{dt} =[ b/(\sqrt{b^2} + 4)] ( \frac{db}{dt})[/tex]

Calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road. This calculated using the obtained differentiation above:

[tex]\frac{dc}{dt} = [ 6/(\sqrt{6^2} + 4)] (80)\\=6/\sqrt{36} + 4 * 80\\=6 * 80/\sqrt{40} \\=480/\sqrt{40} \\= 75.9km/hr[/tex]

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Answer:

D

Step-by-step explanation:

Area is found by LxWxH

Answer:

Step-by-step explanation:

[tex]Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2[/tex]

Answer:

The table represents a proportional relationship

Step-by-step explanation:

Given

x ------ y

1 ------- 15

2 --------30

4 ---------60

5 -------- 75

Required

Determine if the table shows a proportional relationship

To check this, we make use of the following formula;

[tex]k = \frac{y}{x}[/tex]

Where k is the proportionality constant

When x = 1, y = 15

[tex]k = \frac{15}{1} = 15[/tex]

When x = 2, y = 30

[tex]k = \frac{30}{2} = 15[/tex]

When x = 4, y = 60

[tex]k = \frac{60}{4} = 15[/tex]

When x = 5, y = 75

[tex]k = \frac{75}{5} = 15[/tex]

Since the value of k for all values of x and y is the same; i.e. 15

Then, the table represents a proportional relationship

Quick Answer: $5.86

Step-by-step explanation:

Hope it helps!! :)

Answer:

30,370 feet

Step-by-step explanation:

The difference in elevations between two points will be 30370 feet.

It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.

We have to find out the difference in elevation between the two points.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

Height of Mt. Everest from sea level = 29000 ft. above

Height of shore of dead sea from sea level = 1370 feet below

As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.

i.e.,

The difference in elevations between two points will be ;

= 29000 + 1370

= 30370 feet

Thus , the difference in elevations between two points will be 30370 feet.

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You need to work out the current UK percentage first.

Answer:

40 feet

Step-by-step explanation:

We know that the area of a rectangle is represented as [tex]lw=a[/tex], where l is the length and w is the width.

We already know the width, and we know the area, so we can plug these values into the equation.

[tex]l\cdot 6 = 240[/tex]

Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.

[tex](l\cdot6) \div6 = 240\div6\\\\l = 40[/tex]

Hope this helped!

Answer:

l=a/w

Step-by-step explanation:

Length equals area divided by width.

Answer:

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

The change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."

Formula used

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

According to the question,

Given,

Speed of Red kangaroos can reach = 50 feet per second

Number of feet represent by y - axis

Time represent by x-axis

When

[tex]x_{1} = 0 seconds \\\\y_{1} = 0 feet[/tex]

When

[tex]x_{2} = 1 seconds \\\\y_{2} = 50 feet[/tex]

Change in y-values from point A to B  is given by [tex](y_{1}, y_{2} ) = (0,50)[/tex]

Change in x-values from point A to B  is given by [tex](x_{1}, x_{2} ) = (0,1)[/tex]

Rate of change of the linear function

[tex]\frac{y-0 }{x-0 } =\frac{50-0}{1-0}[/tex]

⇒[tex]y= 50x[/tex]

Hence, the change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

Learn more about linear function here

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Answer:

Hey there!

3(a+b)-2(2a-b)+4a-7a

3a+3b-4a+2b-3a

3b-4a+2b

5b-4a

-4a+5b

Let me know if this helps :)

Answer

[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]

Step by step explanation

[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]

Collect like terms

⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]

Since , two opposites add up to zero, remove them from the expression

⇒[tex] \sf3a - 7a + 3b + 2b[/tex]

⇒[tex] \sf - 4a + 5b[/tex]

Hope I helped!

Best regards!!

Answer:

never

Step-by-step explanation:

smith will run out by week 2

Answer:

After 17 weeks

Step-by-step explanation:

We can create a system of equations for this problem, where y is the total amount of money in their banks and x is the amount of weeks passed.

Mr. Smith's equation will be [tex]y = 12x+21[/tex].

Mr. Brown's equation will be [tex]y = 10x+55[/tex].

We can now solve for x by using substitution.

Let's substitute Mr. Brown's equation into Mr. Smith's equation.

This get us [tex]10x + 55 = 12x + 21[/tex].

We can now solve for x.

Let's subtract 12x from both sides:

[tex]-2x + 55 = 21[/tex]

And now let's subtract 21 from both sides:

[tex]-2x+34=0[/tex]

Now we subtract 34 from both sides:

[tex]-2x=-34[/tex]

And divide both sides by -2.

[tex]x=17[/tex]

Hope this helped!

Answer:

144%

Step-by-step explanation:

Complete question below:

Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of its revenue in 2016?

Solution

Let

36x= Linnea's company revenue in 2017

25x=Linnea's company revenue in 2016

Percent of Linnea's company's revenue in 2017 as a percent of its revenue in 2016= 36x / 25x × 100

36x / 25x * 100

=1.44 × 100

=144%

Answer:

= 40

Step-by-step explanation:

2 ( 3 (5 + 2) -1)

= 2 * 20

= 40

Answer:

Step-by-step explanation:

[tex]2\left(3\left(5+2\right)-1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(5+2\right)-1\right)\:\\\\:\quad 20\\\\=2\times \:20\\\\= 40[/tex]

Answer:

√29 units

Step-by-step explanation:

Find the distance between (-1,4) and (1,-1).

We'll use the Pythagorean Theorem:

The horizontal distance between the two points is 1 - (-1), or 2, and the vertical distance is 4 - (-1), or 5.

Thus, the distance squared is 2^2 + 5^2, or 29, and the distance between the two points is therefore

d = √29 units

Answer:

Since there are no common factors, the only common factor for [tex]\frac{4}{x+5}[/tex] is  1

Greetings from Brasil...

See the attached chart. The midpoint, M, has 8 units down on the Y axis. So the other half will also have 8 units after that point M. This is also true for the X axis.

Just make the difference between points T and M. For M and S they are the same quantities.

(0; 3) and (1; -5)

X: 1 - 0 = 1   (one unit until mid point)

Y: - 5 - 3 = - 8  (8 units until mid point)

To S:

S(W; Z)       M = center point coordinate value

W = M +  1 ⇒ W = 1 + 1 = 2

Z = M - 8 ⇒ Z = - 5 - 8 = - 13

Answer:

Here mate!

Step-by-step explanation:

Enter numbers, scientific notation or E notation.

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

HOPE IT HELPS AND IS CORRECT!

Answer:

[tex](x-9)^{2}[/tex]

Step-by-step explanation:

By factorization, we get ----

[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]

Step-by-step explanation:

hi the answer is x= 3/5

i have added 2 methods of solving it in the above picture. ask me if you have any questions

Answer:

x = 3/5

Step-by-step explanation:

This equation can be solved with algebraic techniques. We will simplify the equation by combining like terms and then use algebraic techniques in order to solve for x.

2(x - 4) + 2x = -6x - 2 Use the distributive property.

2x - 8 + 2x = -6x - 2 Combine like terms (variable terms first).

4x - 8 = -6x - 2 Add 6x to both sides of the equation.

10x - 8 = -2 Add 8 to both sides of the equation.

10x = 6 Divide by 10 on both sides of the equation.

x = 6/10 Simplify the fraction.

x = 3/5

Answer:

a)A=53

b)A=42.68

c)A=60

Answer:

16.12 units

Step-by-step explanation:

distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(8 - 10)² + (7 + 9)²]

d = √[(-2)² + (16)²]

d = √[4 + 256]

d = √260

d = 16.12

Answer:

a. square root is y = [tex]\sqrt{x}[/tex]

b. linear is y = x

c. cubic is [tex]y = x^3[/tex]

d. quadratic is [tex]y = x^2[/tex]

e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]

f. absolute value is y = |x|

g. reciprocal is [tex]y = \frac{1}{x}[/tex]

h. cube root is [tex]y = \sqrt[3]{x}[/tex]

Step-by-step explanation:

Answer: 117?

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.

Answer:

15

Step-by-step explanation:

45 divided by 3 = 15

Answer:

I) y = 1/x

ii) y = 1/6

Step-by-step explanation:

inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.

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

Work Shown:

f(x) = x^2 - 2x

f(2) = 2^2 - 2*2 ... replace every x with 2

f(2) = 4 - 4

f(2) = 0

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

g(x) = 12-8x

g(3) = 12-8*3 ... replace every x with 3

g(3) = 12-24

g(3) = -24

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

Subtract the results of the previous two sections

f(2) - g(3) = 0 - (-24)

f(2) - g(3) = 0 + 24

f(2) - g(3) = 24

Answer:

5,418.2 feet

Step-by-step explanation:

Nadia is carrying out mountain climbing.

She started climbing the mountain at an altitude of 19.26 feet below the sea level.

Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.

Therefore, Nadia's altitude at the end of her climb can be calculated as follows

= 5,437.8-19.6

= 5,418.2

Hence Maria's altitude at the end of her climb is 5,418.2 feet

Answer:

5,418.2 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Initial velocity ( u ) = 6 m/s

Final velocity ( v ) = 70 m/s

Time ( t ) = 4 seconds

Acceleration ( a ) = ?

Finding the acceleration

We know that,

[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]

⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]

⇒[tex] \sf{ \frac{64}{4} }[/tex]

⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]

Hope I helped!

Best regards!

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                 = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

       = 9696

Step-by-step explanation:

i think i

don't no

Answer:

B.

Step-by-step explanation:

The X-Values cannot repeat in a function.

Answer:

G.

hope this explanation helps

Step-by-step explanation: