Identify the property used in each of the steps​

Answer:

slope = - [tex]\frac{3}{4}[/tex]

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 )

Rearrange 3x + 4y = 12 into this form

Subtract 3x from both sides

4y = - 3x + 12 ( divide all terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Answer:

Step-by-step explanation:

This all u need my dud

Answer:

56.31

Step-by-step explanation:

A 7.25% tax is $3.81

52.50-3.81+48.69

Hope it helps!

One line has a positive slope and the other a negative slope, they are bound to intercept eventually, so that's why there can't be zero solutions. Two lines can't intercept each other twice, and if they have opposite slopes they can't have infinite solutions.

let;

First quadratic equation whose graph open upward is

[tex]ax^{2} + bx + c = 0[/tex] , where (a≠0)

when a>0 is positive the graph upward .

And second quadratic equation whose graph open downwards is

[tex]-ax^{2} + bx + c = 0[/tex] ,  where ( a≠0 )

When a<0 is negative the graph open downwards.

There are 3 possibilities for the graph as shown in the figure.

So, the greatest possible number of intersections for these graphs is 2 as shown in figure.

For the more information about Quadratic equation click the link given below.

https://brainly.in/question/48595055

Answer:

- 1, 1, - 3

Step-by-step explanation:

To obtain the value of f(1), we require the corresponding value of y from the graph when x = 1

From the graph

when x = 1 the value of y on the graph is - 1 ⇒ f(1) = - 1

Similarly

f(3) means what is the value of y corresponding to x = 3

From the graph when x = 3 then y = 1 ⇒ f(3) = 1

and f(- 1) = - 3

Answer:

P(0,1)

Step-by-step explanation:

The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).

If a figure reflected across y-axis, then the relation between preimage and  image is

[tex](x,y)\rightarrow (-x,y)[/tex]

If the pentagon PQRST reflected over the y-axis, then vertices of image are

[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(5,3)\rightarrow R'(-5,3)[/tex]

[tex]S(4,0)\rightarrow S'(-4,0)[/tex]

[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]

Therefore, only vertex P will not change its coordinates after reflection.

The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.

Rectangle: bh

Triangle: bh/2

A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.

the answer is

161/500

Answer:

[tex]x=0.79[/tex]

Step-by-step explanation:

we have

[tex]-5(10^{x})=-31[/tex]

step 1

Divide by -5 both sides

[tex]10^{x}=31/5[/tex]

step 2

Apply log both sides

[tex]log[10^{x}]=log[31/5][/tex]

step 3

Applying Property of logarithms

Remember that

[tex]log(x^{y})=ylog(x)[/tex]

so

[tex]xlog[10]=log[31/5][/tex]

Remember that

[tex]log(10)=1[/tex]

substitute

[tex]x=log[31/5][/tex]

[tex]x=log(6.2)[/tex]

[tex]x=0.79[/tex]

Answer:  The required expand form is [tex]33x-21x^2.[/tex]

Step-by-step explanation:  We are given to expand the following expression :

[tex]E=3x(11-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To expand the given expression, we must multiply 3x with each of the rems within the bracket.

The expansion of expression (i) is as follows :

[tex]E\\\\=3x(11-7x)\\\\=3x\times11-3x\times7x\\\\=33x-21x^2.[/tex]

Thus, the required expand form is [tex]33x-21x^2.[/tex]

Answer:

16 is a rational number 16/1.

Step-by-step explanation:

If you take the square root of 15 it will be 3.8.. but doesnt repeat, square root of 16 is 4 (perfect square) , square root of 17 is 4.123... doesnt repeat or stop, and the square root of 18 is 4.242.. but doesnt repeat or stop. A rational number can be expressed as a ratio or a fraction. 16 can be expressed as a fraction the other numbers keep going meaning never stop.

1. Volume of a cylinder is πr^2h

Area of the base would be πr^2

Volume would be the height x the area of the base:

Volume = 5 x 20 = 100 cubic in.

2. Divide the volume by the area:

207 / 20.7 = 10

The height is 10 inches.

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=Bh[/tex]

B - base area

h - height

1. We have

h = 5in, B = 20 in².

Substitute:

[tex]V=(5)(20)=100\ in^3[/tex]

2. We have

B = 20.7 in², V = 207 in³.

Substitute:

[tex]207=20.7h[/tex]            divide both sides by 20.7

[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]

Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if  the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.

Answer:

1.6 miles

Step-by-step explanation:

60/12=5

which will mean 1/5=.2

.2x8=1.6 miles

Tina's running rate is 8 miles per hour. In 12 minutes, she will cover a distance of 1.6 miles.

To calculate the number of miles Tina will run in 12 minutes, we need to convert the time to hours since her rate is given in miles per hour.

Since there are 60 minutes in an hour, we divide 12 minutes by 60 to convert it to hours:

12 minutes / 60 = 0.2 hours

Now, we can calculate the distance Tina will run by multiplying her rate by the time:

Distance = Rate * Time = 8 miles per hour * 0.2 hours

Distance = 1.6 miles

Therefore, Tina will run 1.6 miles in 12 minutes.

To know more about distance:

https://brainly.com/question/34824016

#SPJ2

The resulting expression for (3⁰+2⁰)×5⁰ is 1

Before we solve the tabled algebra problem, we must understand that any value raise to the power of zero is 1.

Given the expression

(3⁰+2⁰)×5⁰

Since all the integers are raised to power of zero, hence;

3⁰ = 1

2⁰ = 1

5⁰ = 1

Substitute this values into the given expression

= (3⁰+2⁰)×5⁰

= (1+1)×1

= 1 × 1

= 1

Hence the resulting expression for (3⁰+2⁰)×5⁰ is 1

Learn more here: https://brainly.com/question/6813210

The fifth root of x can be expressed as a power of 1/5 this way:

x^(1/5).

Now raise [x^(1/5)] to the 9th power.

[x^(1/5)]^(9)

Multiply the powers to complete the problem.

x^(9/5)

Answer: Choice B.

The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.

The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.

So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.

https://brainly.com/question/20255006

#SPJ2

Step-by-step explanation:

4 (3^2-2^3)^3

Answer:

4

Step-by-step explanation:

Answer:   = 119/120

Step-by-step explanation:

=

104

120

+

15

120

=

104+15

120

=

119

120

(Decimal: 0.991667)

The 5 in the ones place has a value of 5, while the 5 in the tens place has a value of 50.

Hope this helped!

Nate

The answwe is that 5 is 50 and 5 is 5, giv the other user brainliest tho...

Answer:

100

Step-by-step explanation:

You are given the equation

[tex]4x-4.5=10.73+5.7+7x[/tex]

There are 5 coefficients:

[tex]4, \ -4.5,\ 10.73,\ 5.7,\ 7[/tex]

Two of them are integers

[tex]4,\ 7[/tex]

two of them are decimals with one digit after point

[tex]-4.5,\ 5.7[/tex]

and one is a decimal with two digits after point

[tex]10.73[/tex]

To get rid of fractions, we have to get rid of digits after point. The maximum number of digits after point is 2, then we have to multiply the equation by 100:

[tex]400x-450=1,073x+570+700x[/tex]

Final answer:

To eliminate decimals in an equation, multiply all terms by a power of 10 to shift the decimals to whole numbers, simplifying the calculation process.

Explanation:

To get rid of decimals in the equation 4x - 4.5 = 10.73x + 5.7 + 7x, you would multiply each term by a power of 10 that shifts the decimals to whole numbers. By determining the highest number of decimal places in the terms, you can multiply all terms by a suitable power of 10.

For example, if the highest number of decimal places is 2, you would multiply all terms by 100. This action shifts the decimals two places to the right, converting them into whole numbers and simplifying the equation.

By multiplying all terms by the appropriate power of 10, you eliminate decimals and work with whole numbers, making it easier to solve the equation.

Answer:

1676

Step-by-step explanation:

The store started with 32500 items and finished the day with 30824 items.

Intial value = 32500

Final value = 30824

Difference = Initial value - Final value = 32500 - 30824 = 1676

The store sold 1676 items in the day

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\ in=1/12\ ft[/tex]

we have

[tex]100\frac{in}{min}[/tex]

Convert to ft/min

To convert in/min to ft/min multiply the given value by the factor 1/12

[tex]100\frac{in}{min}(1/12)\frac{ft}{in}=8.33\ ft/min[/tex]

therefore

100 inches Over 1 minute times × 1 foot Over 12 inches

100 inches Over 1 minute times × 1 foot Over 12 inches, the correct answer is 3.

We know that,

1ft = 12inches

So, 1 in. = 1/12 ft

We have expression converts 100 inches per minute to feet per minute

100 inches/min

To convert in/min to ft/min multiply the given value by the factor 1/12

100  inches/min (1/12 ft/in)

Therefore, 100 inches Over 1 minute times × 1 feet Over 12 inches

Learn more about expression here:

https://brainly.com/question/20726175

#SPJ6

9514 1404 393

Answer:

  Greg is correct. 3.3 has a finite number of digits

Step-by-step explanation:

A "non-terminating" decimal is one with an infinite number of digits. If you can actually count the digits, it is a terminating decimal. 3.3 has 2 digits, so is a terminating decimal. Greg is correct.

__

A terminating or repeating decimal is a rational number.

  [tex]3.3 \quad\text{a terminating decimal equal to $\dfrac{33}{10}$}\\\\ 3.\overline{3} \quad \text{a non-terminating rep}\text{eating decimal equal to $\dfrac{10}{3}$}[/tex]

Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a terminating decimal, and thus, Greg is correct.

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

Number sets are used to solve this question.

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

A similar problem is given at https://brainly.com/question/13325494

Answer:

You have to finish the question lol

Step-by-step explanation:

Answer:

m=1.1

Step-by-step explanation:

Divide one side by 8, then you get 7:(4/11 m)=7: 0.4

Basically then 4/11 m=0.4

4/11 m=2/5

m=(11/4)(2/5)

m=11/10, 1 1/10, 1.1

The value of m that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1

From the question, we have the following parameters that can be used in our computation:

7: (4/11m) = 56 : 3.2

Cross-multiply the proportions

7 * 3.2 = (4/11 m) * 56

Simplify both sides:

22.4 = (4/11 m) * 56

Divide both sides by 56

(4/11 m) = 22.4 / 56

Simplify the right side

(4/11 m) = 0.4

Multiply both sides by (11/4)

m = 0.4 * (11/4)

So, we have

m = 1.1

Hence, the calculated value of "m" that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1

Read more about ratio at

https://brainly.com/question/12024093

#SPJ3

Answer:

Step-by-step explanation:

Hey!

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

We Know:

54 students.

28 boys.

26 boys

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

Solution and Answer:

28:26 (Ratio Un-Simplified)

14:13 (Ratio Simplified)

14/13 works to!

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

Hope This Helped! Good Luck!

Answer:

28:24 reduced to 7:6

Answer:

A) The slope is positive 3 and the y-intercept is (0, 4).

Step-by-step explanation:

3x - y = -4

-3x -3x

__________

-y = -3x - 4

__ _______

-1 -1

y = 3x + 4 >> y-intercept at [0, 4] and has a positive three rate of change [slope] ☑

I am joyous to assist you anytime.

Step-by-step explanation: usatestprep approved

Answer:

-2/3

Step-by-step explanation:

y1 -y2 / x1 - x2

7 - 5 = 2

3 - 6 = -3

-2/3 = slope

Answer:

3.60555127...

Step-by-step explanation: