Step 2 of the Coefficient Method involves blank x-term and y-term coefficients.

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

[tex]x^2-2x=3[/tex]

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2.  Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

[tex]x^2-2x+1=3+1[/tex]

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

[tex](x-1)^2=4[/tex] (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

[tex]y=(x-1)^2-4[/tex]

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original  equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

Answer:

That is;

{25,45,65}

Step-by-step explanation:

Here, we want to find the set of A n B

That is the set that contains values that are present in both sets A and B

Mathematically, that will be;

{25,45,65}

Answer:

8,250

Step-by-step explanation:

10 to the power of 2 is 100, move the decimal 2 spaces to the right.

Answer:

Hi, i think the answer would be the third option, 8,250.

Step-by-step explanation:

You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have

82.5 × 100

This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

9y i can be rong

Step-by-step explanation:

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Answer:

2+4y

Step-by-step explanation:

Answer:

a= -12

Step-by-step explanation:

Answer: r=5%

Step-by-step explanation:

I=Prt

I/P=Prt/P

I/P=rt

I/(P*t)=rt/t

r=I/Pt

r=63/(420*3)

r=21*3/(420*3)

r=21/420

r=1/20

r=0.05

r=0.05 * 100%

r=5%

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

Answer:

-6

Step-by-step explanation:

Answer:

the answer is x^2+8x+ c

Step-by-step explanation:

If  x 2 + b x + c  is a perfect square, then there is always the same relation ship between  b and c "Find half of  b  and square it" , so  c = ( b /2 ) ^2

 x^ 2 + 8 x + ( 8/ 2 )^2  =

x^ 2 + 8 x + 4^ 2 =

x^ 2 + 8 x + 16  =

( x + 4 ) ^2

I hope that helps you

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Answer:

-4 + 5x - 7 = 10 + 3x - 2x

5x - 3x + 2x = 10 + 4 + 7

4x = 21

x = 21/4

x = 5 1/4 or 5.25

Answer: 5=x

Step-by-step explanation:

-4+5x-7=10+3x-2x

Combine like terms:

-10+5x=10+x

Subtract 10 on both sides:

-10-10+5x=10-10+x

-20+5x=x

Subtract 5x on both sides:

-20+5x-5x=x-5x

-20=-4x

Divide -4 on both sides:

-20/-4=-4x/-4

5=x

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

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

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

Answer:

-2/3

Step-by-step explanation:

The equation for slope is y2-y1 over x2-x1.

Or you can easily do rise over run.

Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.

If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.

The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.

The run is 3, and the rise is -2.

Rise over run

-2 (rise) over 3 (run)

-2/3

-2/3 is the slope.

Hope this helps!

Answer:

2^17

Step-by-step explanation:

the indices are added when the integers are multiplied. the integer, however, does not need to be changed since it is already the same.

umm I don't remember I would say if I remembered

Answer:

fdsvStep-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

substitute the coordinates of the point into the left side of the inequality and check the value obtained against the right side.

5(2) + 4(2) = 10 + 8 = 18 < 20

then (2, 2 ) does not make the inequality true

Answer:

x=3,2i,-2i

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.

Answer:

55 i believe

28 + 27 = 55

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

I would say 4 more miles than you each week

Step-by-step explanation:

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

4 days = x

1 day = [tex]\frac{1}{4}[/tex]x

Marsha:

1 day = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{24}[/tex]x - [tex]\frac{4}{24}[/tex]x

        = [tex]\frac{2}{24}[/tex]x

        = [tex]\frac{1}{12}[/tex]x

Marsha can do [tex]\frac{1}{12}[/tex] of the work in 1 day.

No. of days taken (Marsha) = x ÷ [tex]\frac{1}{12}[/tex]x

                                             = 12