5x + 2y = 7
Solve for y

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

Answer:

2:6 because 2:6 is equivalent to 1:3

Step-by-step explanation:

1x1=1 and 3x2=6

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

Answer:

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

Step-by-step explanation:

y = mx + b

Let's start with where the line crosses the y axis.  We can see it crosses at 5.

So b = 5.

Let's try another point to figure out m, (3,4).

4 = 3m + 5

3m = -1

m = [tex]-\frac{1}{3}[/tex]

Answer:

y=-1/3+5

Step-by-step explanation:

since the line is going downhill, the slope would be negative (the slope is the number with the x attached). The slope is 3 over and 1 down. You would write it as rise over run, so it would be a -1/3. The line hits the y axis at 5, so the b (y=mx+b is the slope equation) would be 5.

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................

Answer:

-1/2

Step-by-step explanation:

8-15 = -7

-28 - -42 = 14

-7/14 = -1/2

Answer:

-1m-6

Step-by-step explanation:

1. Multiply -3*m = -3m

2. Multiply -3* 2 = -6

3. Combine like terms : 4m + -3m = -1m

4. -1m - 6

Answer: One.

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :   8*x-19-(-4-7*x)=0

Pull out like factors :   15x - 15  =   15 • (x - 1)

 Solve :    15   =  0

Solve  :    x-1 = 0  

 Add  1  to both sides of the

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8

Answer:

It is C

Step-by-step explanation:

Answer:

2.149 × 10-5

Step-by-step explanation:

Answer:The answer is ≥ greater than or equal to

can you mark me Brainliest please

Answer:

Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.

Step-by-step explanation:

This is sample response

The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Brody had his computer repaired at Store A. His bill was:

Initial Repair Cost = $1,200

Sales Tax of 6 percent = $72.00

A gratuity of 15 percent

Total cost = 1200 + 72 = 1272

The gratuity for the services provided = 0.15x1272 = $190.8

Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

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Answer:

proportional

Step-by-step explanation:

because it has a constant ratio

Answer: Proportional

Step-by-step explanation:

The equation for a proportional relationship is y=kx. This equation: y=12x fits the equation, so it's proportional.

The revenue last month Kevin, if he sold 18 new books and 21 old books, will be  $ 267.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Kevin is opening up a bookstore, where he sells both new and old books.

He charges $10.75 for a new book and $3.50 for an old book.

Then the revenue last month Kevin, if he sold 18 new books and 21 old books, will be

Then the total revenue will be

Total revenue = 10.75 x 18 + 3.50 x 21

Total revenue = 193.5 + 73.5

Total revenue = $ 267

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Answer:huh

Step-by-step explanation:

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Answer:

-7 and 14 on khan

Answer:

12 inches

Step-by-step explanation:

Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.

Thus, the top of the cone will also have a radius (r) inches.

Let consider h to be the height of the cone in inches.

So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.

To do that; we need to equate both volumes together and make h the subject of the formula:

The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h

4/3 πr³  = 1/3πr²h

Multiply both sides by 3

4πr³  = πr²h

4r = h

h = 4(3)

h = 12 inches

To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

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Answer:

2/7b + 10

Step-by-step explanation:

Answer:

i can't understnd it at all i mean you organized it but what does those mean??

Step-by-step explanation:

Answer: D) 9 Over 4 divided by three-fourths

Step-by-step explanation:

The number line shown below is divided into 3 equal parts. To do so the highest number would have to be divided by a number that would give 3 as an answer.

Say that number is x;

x = (9/4) / 3

= 0.75

= 3/4

Number line shows 9 Over 4 divided by three-fourths .

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90