What is the equation of the line slope of 1/4 and a y-intercept of -2


Help me with these 3 equations please !!!!!!!

The inequalities are option B, C and D which are;

B. 11 > (w - 4)²         C. y < 3⁴           D. 5+9 < 5×9

Imbalances are numerical articulations that think about two qualities and express that they are not equivalent.

The inequalities are:

B. 11 > (w - 4)²

C. y < 3⁴

D. (5+9) < (5×9)

Here, option A and E are not inequalities. A is a quadratic expression and E is a rational function.

Inequality B says that 11 is greater than the square of the difference between w and 4.

⇒ √(11) > (w - 4)

⇒ w - 4 < √(11) or w - 4 > -√(11)

⇒ w < 4 + √(11) or w > 4 - √(11)

So the solution for inequality B is: w < 4 + √(11) or w > 4 - √(11)

Inequality C says that y is less than 3 to the fourth power (81).

⇒ y < 81

Inequality D says that the sum of 5 and 9 is less than the product of 5 and 9. This is clearly true:

⇒ (5 + 9) < (5 × 9)

⇒ 14 < 45

So the solution for inequality D is: 14 < 45

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Answer:

[tex]\red{ \rule{10pt}{9999999pt}}[/tex]

Step-by-step explanation:

[tex]\red{ \rule{10pt}{999999pt}}[/tex]

You did it! please don't delete

Answer:

[tex]\displaystyle f'(x) = \frac{4}{x^2}[/tex]

General Formulas and Concepts:

Calculus

Limits

Differentiation

The definition of a derivative is the slope of the tangent line:                             [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = -\frac{4}{x}[/tex]

Step 2: Differentiate

∴ the derivative of the given function will be equal to 4 divided by x².

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

82

Step-by-step explanation:

The mean is just the average Add all individual numbers together then divide by how many numbers you added.

Answer:

○ [tex]\displaystyle -6x^2 + 6x + 5[/tex]

Step-by-step explanation:

Since the divisor is in the form of [tex]\displaystyle x - c,[/tex]use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so do not forget it. Anyway, here is how it is done:

2| −6 18 −7 −10

↓ −12 12 10

________________

−6 6 5 0 [tex]\displaystyle \hookrightarrow -6x^2 + 6x + 5[/tex]

You start by placing the c in the top left corner, then list all the coefficients of your dividend [−6x³ + 18x² - 7x - 10]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that −6 in your quotient can be a [tex]\displaystyle -6x^2,[/tex]the [tex]\displaystyle 6x[/tex]follows right behind it, then you end it off with [tex]\displaystyle 5,[/tex]giving you the quotient of [tex]\displaystyle -6x^2 + 6x + 5.[/tex]

I am joyous to assist you at any time.

Answer:

it may multiple by 10 times

The expression that represents profit in the given example is

33x+390.

It is given that

Revenue function = [tex]2x^3 +30x-130[/tex]

Cost function = [tex]2x^3-3x-520[/tex]

Profit function = revenue function- cost function

Profit function= [tex]{2x^3 +30x-130}-{2x^3+3x+520[/tex]

profit function= 33x+390

Therefore, the expression that represents profit in the given example is

27x-650

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Answer:

33x+390.

Step-by-step explanation:
I took the test

Answer: y=-x+4

Step-by-step explanation:

Answer:

length= 108 feet,

width= 50 feet

Overview of steps:

Working:

Let the length and the width of the rectangle be L and W feet respectively.

L= 2W +8 -----(1)

Perimeter= 2(length) +2(width)

316= 2L +2W

2L +2W= 316

Divide both sides by 2:

L +W= 158 -----(2)

Substitute (1) into (2):

2W +8 +W= 158

Simplify:

3W +8= 158

3W= 158 -8

3W= 150

Divide both sides by 3:

W= 150 ÷3

W= 50

Substitute W= 50 into (1):

L= 2(50) +8

L= 100 +8

L= 108

Thus, the rectangle's length is 108 feet, and its width is 50 feet.

Answer: Depreciating at 7% 100 - 7 = 93%

93% = 93/100 = 0.93

0.93 is your factor of depreciation.

There are 9 years between 2004 and 2013

So, you set 9 as power on your factor

0.93^9

Multiply your original value

$192,000 x 0.93^9

= $99,918.93

This is the value of the boat in 2013.

Step-by-step explanation: Hope this helps

Step-by-step explanation:

l = length

w = width

l = 3w

perimeter p = 2l + 2w = 56

using the identity of the first equation

p = 2(3w) + 2w = 56

6w + 2w = 56

8w = 56

w = 7 cm

l = 3w = 3×7 = 21 cm

so, the area is

l×w = 21×7 = 147 cm²

Answer:

1.25 grams would be left

Step-by-step explanation:

40/2=20

20/2=10

10/2=5

5/2=2.5

2.5/2=1.25

Answer:

Example 1 = ?

Example 2 = x = 3.22

Example 3 = 10.963 = x

Example 4 = ?

Answer:

1. Completing the square

2. Factorisation

3. Formula method

4. Graphical method

Answer:

- For a quadratic equation ax2 + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b² - 4ac) )/2a.

- Discriminant is, D = b2 - 4ac. If D > 0, then the equation has two real and distinct roots.

Answer:

Step-by-step explanation: Explanation:

You need to use the formula for slope:

m

=

y

2

−

y

1

x

2

−

x

1

m

represents the slope.

You need to assign each coordinate, but it must correspond.

For example:

In the coordinate

(

2

,

−

3

)

,

2

is

x

1

and

−

3

is

y

1

.

In the coordinate

(

5

,

2

)

,

5

is

x

2

and

2

is

y

2

.

Now you plug this in.

m

=

2

−

(

−

3

)

5

−

2

After this, you need to simplify

m

=

5

3

This may be wrong so double check.

let's solve:-

[tex]the \: formula \:to \: find   \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \:  represents \: the \: slope.)} \\ \\ [/tex]

Here:-

[tex] \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: [/tex]

[tex] \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}[/tex]

[tex] \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

need to see problem please

Answer:

the answer is 57 I got it right hope you do to!

Step-by-step explanation:

The product represented by the model is 2/3, the correct option is A.

A fraction is a part of the whole, It is represented in the terms of p/q, where q is not equal to zero.

To form the fraction from the given graph

The number of green boxes needs to be counted = 20

Total number of boxes = 30

The green boxes represent the numerator

Fraction = 20/30

Fraction = 2/3

Therefore, the product represented by the model is 2/3.

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Answer:

8 1/2 cups

Step-by-step explanation:

Add the blue and red cups of paint together to get 8 1/2 cups of paint.

Since we can assume she has enough, the answer is eight and a half cups of purple paint.

Alma can make 20 cups of purple paint.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: For every 5 cups of purple paint alma needs to add 1/2 cup of white paint .

Thus with 2 cups white paint she could make 4 batches of 5 cups of purple paint.

Therefore, total number of purple paint cups from 2 cups of white paint is

4×5=20 cupa

Hence, Alma can make 20 cups of purple paint.

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Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here,  m is slope any b is y-intercept.

y = mx + 5

Now, choose any other point in red line. ((1,7)

Substitute this value in the above equation and we can find m

7 = m*1 + 5

7 - 5 = m

m = 2

y = 2x + 5

Equation of black line:

Black line and red line are parallel and so, they have same slope.

y = 2x + b

y-intercept (0,-6) ; b = -6

y = 2x - 6

Answer: (3,2)

Step-by-step explanation:

(3,2) lies on the line x=3, so it is an invariant point.

Answer:

c

Step-by-step explanation:

Answer:

A. (x – 3) and (x – 7)

Step-by-step explanation:

A. (x – 3) and (x – 7) = x^2 - 10x + 21

x*x   = x^2
x*-7  = -7x

-3*x  = -3x

-3*-7 = 21

x^2 - 7x +  3x + 21

x^2 - 10x + 21

Answer:

5.634

Step-by-step explanation:

Side BC = 12

Side AC = 10.59537

Side AB = 5.63366

90° = 1.5708 rad = π/2

62° = 1.0821 rad

28° = 0.48869 rad

Please let me know if this helped <3

Answer:

93

Step-by-step explanation:

in your answer, give the measure of Angle C and explain how you calculated it.

i dont know the answer but i just added 3(29+2) and got 29 sorry if its wrong

By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

According to the empirical rule :

(1)   68% of the measures should come within 1 standard deviation of the mean.

(2   95% of the measures should come within 2 standard deviations of the mean.

(3)  99.7% of the measures should come within 3 standard deviations of the mean.

So we can see in this problem

The mean is 7 inches.

The standard deviation is 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

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Answer:

x is 62 degrees i think

Step-by-step explanation:

wow how do i know how to do this. ANYWAYS:

since it says that the whole two angels is 152 and that one of the angles is 90 degrees we can write the equation:

90 + x = 152

x = 62

you may ask "but thats the degree of the angle next to 90.." but it is also x because it is parallel (i think thats the word)

Answer:

D. (The one with a graph and line)

You can use the vertical line test.

Answer:

1, 1\5 left

Step-by-step explanation:

The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle. The perimeter of the rectangle is 2(√29+√10).

The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle.

In order to find the perimeter of the rectangle, we need to find the third side(Hypotenuse) of each triangle, therefore,

In ΔA,

[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]

[tex]GF^2 = 3^2+1^2\\GF=\sqrt{10}[/tex]

In ΔB,

[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]

[tex]EF^2 = 2^2+5^2\\EF=\sqrt{29}[/tex]

In ΔC,

[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]

[tex]GH^2 = 2^2+5^2\\GH=\sqrt{29}[/tex]

In ΔD,

[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]

[tex]EH^2 = 3^2+1^2\\EH=\sqrt{10}[/tex]

Now, the perimeter of the rectangle is,

[tex]Perimeter\ EFGH = EF+ GF + GH +EH[/tex]

                              [tex]=\sqrt{29}+\sqrt{10}+\sqrt{29}+\sqrt{10}\\\\=2\sqrt{29}+2\sqrt{10}\\\\=2(\sqrt{29}+\sqrt{10})[/tex]    

hence, the perimeter of the rectangle is 2(√29+√10).

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The measure of the angle formed by the two laser beams is 20°

An angle is formed when two or more lines intersect. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are 90 degrees.

The arc intercepted by the lasers closest to the source measures 60. The arc intercepted by the lasers on the other side of the cylinder measures 80. Hence:

The measure of the angle formed by the two laser beams = 80 - 60 = 20°

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