the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?

Answer:

mx+b

Step-by-step explanation:

One way to express linear function rules is called slope-intercept form. Sometimes, f(x)=mx+b is used. In either case, m and b describe the general characteristics of the line. m indicates the slope, and b indicates the y-intercept.

The required function of the line would be y = 2x + 1 which is shown in the given graph.

The slope-intercept form is one rule to represent linear function rules. f(x)=mx+b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.

According to the given figure,

We clearly see that the coordinates of the y-intercept would be (0, 1).

The value of the x-coordinate is 1 when y-coordinate is 3.

Here the line passes through points (0, 1) and (1, 3).

Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 0, y₁ = 1

x₂ = 1, y₂ = 3

⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]

⇒ y - 3 = (2)[x -1]

⇒ y - 3 = 2x - 2

⇒ y = 2x - 2 + 3

⇒ y = 2x + 1

Therefore, the required function of the line would be y = 2x + 1 which is shown in the given graph.

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Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25

Answer:

For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).

Answer:

pay: 32,000*12 ( since its per month) =384,000

income tax: 384,000*0.45 = 172,800

EI: 384,000*0.0173=6,643.20

CPP: 384,000*0.0495=19,008

Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80

Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25

Step-by-step explanation:

Answer:

I think the answer is A

Step-by-step explanation:

The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.

Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.

Example of a survey;

Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

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Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

Answer:

Just right

Step-by-step explanation:

BRAIN PLS

Let's solve your inequality step-by-step.

[tex]11+\frac{a}{2}\le 16[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{2}a+11 \le 16[/tex]

Step 2: Subtract 11 from both sides.

[tex]\frac{1}{2}a+11-11\le 16-11[/tex]

[tex]\frac{1}{2}a\le 5[/tex]

Step 3: Multiply both sides by 2.

[tex]2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)[/tex]

[tex]a\le 10[/tex]

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

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

   x - 2 (answer) ("x minus 2")

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°

Answer:

Second option = TB - L > D

Step-by-step explanation:

[Given] T > [tex]\frac{L +D}{B}[/tex]

[Multiply both sides by B] TB > L + D

[Subtract L from both sides] TB - L > D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Can you show what are the tables?-

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  [tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

Answer:

one milligram

Step-by-step explanation:

Answer:

milligram

Step-by-step explanation:

1,000 mg = 1 g

1 mg = .001 g

Answer:

A, the first one.

Step-by-step explanation:

Please rate 5 stars and add thanks. Goodluck on the rest

Therefore, Option A is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

7172.6

Step-by-step explanation:

Answer:

12.5t + 8h = 259.5

t + h = 24

Step-by-step explanation:

Write one equation to deal with the costs and one equation to deal with the numbers of shirts and hats.

12.5t + 8h = 259.5

t + h = 24

Answer:

dsde

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It has a negative slope and it crosses the y axis at -1

Answer:

Step-by-step explanation:

123

Answer:

what kind?

Step-by-step explanation:

Answer:55

Step-by-step explanation:

55

Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

Answer:

The y-intercept of this line is 1 (or  (0, 1)  )

Step-by-step explanation:

Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3.  Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.

Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):

-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b.  Solving for b, we get

4 = 4b, so that b must be 1.

The y-intercept of this line is 1 (or  (0, 1)  )

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

Answer:

[tex]-8p^2+10p-3[/tex]

Step-by-step explanation:

[tex](-1+2p)(3-4p)[/tex]

Distribute

[tex]-1(3-4p)+2p(3-4p)[/tex]

[tex]-3+4p+6p-8p^2[/tex]

Then you will organize it into standard form and combine the like terms

[tex]-8p^2+6p+4p-3[/tex]

[tex]-8p^2+10p-3[/tex]

Hope this helps!

The two pairs of figures that are similar are shown in figure 1 and 3.

What is Similar quadrilateral?

Two quadrilaterals are similar when there corresponding angles are equal to each other.

Given that;

In figure 1;

Two triangles are shown.

In figure 2;

One rectangle and other is square.

In figure 3;

Two rectangle are shown.

Now,

Since, Two quadrilateral are similar when there corresponding angles are same.

In the figure 1;

The angles of first triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

The angles of second triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

Thus, There all angles are equal to each other.

So, These figure are Similar.

And, In figure 2;

One figure is square and other is a rectangle.

So, It is not similar.

And, In figure 3;

Both figure are rectangle.

And, All angles in a rectangle are 90 degree.

Thus, they are similar.

Therefore,

The two pairs of figures that are similar are shown in figure 1 and 3.

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Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b

Answer:

25%

hope this helps