Solve the equation
4x−2·(3x−2)=3x

Answer:

[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]

We have to check whether the given function is a power function or not.

Power Functions :

[tex]f(x) = ax^p,[/tex]

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

[tex]a = \displaystyle\frac{1}{4}\\\\p = 0.5[/tex]

Hence, the given function is a power function.

The equation y = 1/4x^0.5 is a power function because it fits the general form of a power function, y = ax^n, with a constant coefficient and a real number exponent.

Yes, the function y = 1/4x^0.5 is indeed a power function. A power function is of the form y = ax^n, where a is a constant and n is a real number, representing the power of x. In the given function, a is equal to 1/4, and n is 0.5, which is equivalent to the square root of x (since raising a number to the 0.5 power is the same as taking its square root).

Therefore, we can express the square root of x as x raised to the power of 1/2, fitting the form of a power function.

Answer:

x=36

Step-by-step explanation:

< CAB and <EAD are vertical angles and vertical angles are equal

<CAB = <EAD

36 = x

Answer:

eight hundred thirty four thousand two hundred nine

All you got to do is write the places and the number.

Plzzz mark brainlest and thank em would be very much thankful

Answer:

I think is (A)

They got same y intercept

they both cross at 0

but they are opposite graph like X

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

Answer: c

x-intercept ( 1 /3 , 0)

Step-by-step explanation:

Answer:

Alright well solve for a by multiplying both sides of the equation, then isolating the variable

a = 2b/5 + c/5 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

Yes, see attached plot

Step-by-step explanation:

Answer:

(d) 810.34

Step-by-step explanation:

The explicit formula used for calculating the account's balance is given by:

A= P(1+R)^T

where: A= Amount (account's balance)

P= Principal  (700)

R= Rate (5%)

T= Time   (3 years) [since, the balance is calculated in the beginning of the  forth year]

A= P(1+R)^T

A = 700(1+0.05)^3

  = 700(1.05)^3

  = 700*1.157

  = 810.34

Answer:

-29

Step-by-step explanation:

-b+5y

We know that b=4 and y= -5

We can substitute these into the expression

-(4) +5(-5)

-4 -25

-29

Answer:

x = -3√10 and x = 3√10

Step-by-step explanation:

98-x^2=8

x^2 = 98 - 8

x^2 = 90

x = +/- 3√10

Answer:

[tex]\pm3\sqrt{10}[/tex]

Step-by-step explanation:

The solution to an equation is when the equation is equal to 0 (also known as the roots/x intercepts.)

[tex]98-x^2=8\\-x^2=-90\\x^2=90\\x=\pm\sqrt{90} \\x=\pm3\sqrt{10}[/tex]

Answer:

84 lbs

Step-by-step explanation:

Answer:

52.3 litres.

Step-by-step explanation:

The car consumption is 75/20 = 3.75 km/litre.

Volume of petrol needed to travel 196 km

= 196 / 3.75 = 52.3 litres.

Answer:

87857570

Step-by-step explanation:

Answer:

2x2=6

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

D. 9

Step-by-step explanation:

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

The shape with six equal square, flat sides is known as a cube.

A cube is a three-dimensional geometric shape characterized by six equal square faces. Each face of the cube is identical, and the shape is formed by connecting these faces at right angles. This regular polyhedron is fundamental in mathematics and has practical applications in various fields. Cubes are extensively used in geometry, trigonometry, and calculus to illustrate concepts such as volume and surface area. In addition to its mathematical significance, cubes are prevalent in everyday objects like dice and building blocks. Understanding the properties of cubes is crucial in engineering and architecture, where it aids in designing structures and solving spatial problems efficiently.

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Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

400 * 6 = 2400 meters

It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km  and time = 12 minutes

Now we find our constant speed

[tex]Distance = speed * time[/tex]

2.4 = speed * 12

divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

1 = 0.2 * t

divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

Answer:

The cost of one box of oranges = $3.3

Step-by-step explanation:

Let x be cost of one box of oranges and y be the cost of one box of grapefruit.

We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:

[tex]3x+2y=22.50...(1)[/tex]  

Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:

[tex]x+4y=28.50...(2)[/tex]

We will solve our system of linear equations using substitution method.

From equation (1) we will get,

[tex]y=\frac{22.50-3x}{2}[/tex]

Substituting y's value in equation (2) we will get,

[tex]x+4*(\frac{22.50-3x}{2})=28.50[/tex]

[tex]x+2*(22.50-3x)=28.50[/tex]

Upon distributing 2 we will get,

[tex]x+45-6x=28.50[/tex]

[tex]x-6x=28.50-45[/tex]

[tex]-5x=-16.5[/tex]

[tex]x=\frac{-16.5}{-5}[/tex]

[tex]x=3.3[/tex]

Therefore, the cost of one box of oranges is $3.3.

Answer:

The possible outcome could be 4 or 3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

There are 12 possible outcomes. Of the 12, 6 are even and 4 have B's. That would give up 10/12. But then you would subtract the possible outcomes that are BOTH even AND have a B. Only 2 possible outcomes have an even number and the letter B. So 10 minus 2 is 8. That would give you 8/12. Simplify and you will get your answer of 2/3!

Just took the test, so trust me on this fellow K12ers!

Answer:

1) ASA 2) In explanation 3) I cant see all of the problem

Step-by-step explanation:

For Number 1 you need one more thing to prove that the triangles are congruent. You could see that there is a pair of vertical angles and vertical angles are congruent so you could use that. Angle DEA is congruent to Angle CEB. When there is a side in between two congruent angles, that is ASA.

For Number 2 it really is almost the same as number 1. First you write the given, then you write that angle DEA is congruent to angle CEB and the reason for that is that vertical angles are congruent. Lastly, you say that triangle ADE is congruent to triangle CBE.

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-2-1)^2+(3-4)^2}\implies d=\sqrt{(-3)^2+(-1)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}[/tex]

To find the distance between two points (1,4) and (-2,3) using the distance formula, perform the relevant calculations and steps.

To find the distance between two points using the distance formula, you can follow these steps:

So, the distance between the points (1,4) and (-2,3) is approximately 3.16 units.

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Answer:

c = 36

Step-by-step explanation:

Use the formula (b/2)^2 to solve for the max or min.

ax^2 + bx + c

b = 12

(12/2)^2

6^2 = 36

You can check you work

y = x^2 + 12x + 36

y = (x + 6) (x + 6) It works!

Answer:

D  36

Step-by-step explanation:

In this exercise we have to use the knowledge of equations to write the intersection equation, so we have to:

The formula for setting up an equation is given by:

[tex](y - y1) = m(x - x1)[/tex]

1.) So by the formula above, substituting for the values ​​given in the statement, then:

[tex](y - 120) = -2(x - 7)[/tex]

2.) The equation in slope intercept form will be:

[tex](y - 120) = -2(x - 7)\\(y - 120) = -2*x + (-2*-7)\\y - 120 = -2x + 14\\y = -2x + 134[/tex]

See more about slope intercept at brainly.com/question/3605446

Answer:

1 meter = 39.370 inches.....so 5 meters = (5)(39.370) = 196.85 inches

Answer:

127.3

Step-by-step explanation:

The formula you gave is is known as the Pythagorean Theorem.

It is used to find the hypotenuse (longest side) of a right triangle with the lengths of the other two legs (sides).

Here, a is the hypotenuse of two adjacent triangles. Both triangles are right triangles, and have legs (not including the hypotenuse) of 90 ft.

Now, the formula is a^2 + b^2 = c^2.

A and b are the two shorter legs of the triangle: 90 and 90. Let's insert these values into the formula.

90^2 + 90^2 = c^2

90^2 is 8100, and 8100 plus 8100 is 16200.

16200 = c^2 (c is the hypotenuse, or a)

Now, we just have to find the square root of 16200.

sqrt16200=127.27....

When we round this to the nearest tenth, we get 127.3.

Answer:

0 solutions

Step-by-step explanation:

they have the same slope and different y intercepts so they never intersect

Answer:

This equation has no solution

Step-by-step explanation:

To find our many solution the system of equation has, we need to  solve simultaneously, we can either solve by substitution method, by elimination method or both method.

We will be using substitution method to solve.

Here are the system of equation;

y= -4x+2 ----------(1)

24x+6y=6---------(2)

First, we are going to substitute equation (1) in equation (3)

{what we mean by substituting equation (1) in equation (2) is then any where we see y in equation (2),  we will be replacing it by[-4x + 2]}

24x + 6(-4x + 2)  = 6

Then, we will go ahead and open the bracket

24x  -  24x  +  12  =6

This simply shows that there is no solution to this system of equation

Answer:

A protractor.

Step-by-step explanation:

Answer:

120 yards

Step-by-step explanation:

A map scale is a ratio.

1 inch : 30 yards

Multiply both sides of the ratio by 4.

4 * 1 inch : 4 * 30 yards

4 inches : 120 yards

Answer:

So we know 4 inches  is 120 yds

Step-by-step explanation:

We can use ratio's to solve this problem

1 inch           4 inch

------------ = --------------

30 yds         x yds

Using cross products

1 * x = 30*4

x = 120

So we know 4 inches  is 120 yds