Write the equation of the line passing through the point ( - 4 , 3 ) and slope 8.

Answer:

Slope = - 8

y-intercept = - 4

Step-by-step explanation:

\(y= -8x -4 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ slope \: (m) = - 8 \\ \\ y - intercept \: (b) = - 4\)

After solving the equation the value of x is -23, 25 in the equation 19+|x-1|=33

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

⇒ 9+|x-1| = 33

For positive case

⇒ 9+|x-1| = 33

⇒ (x-1) = 33 - 9

⇒ x - 1 = 24

⇒ x = 25

For negative case

⇒9+|x-1| = 33

⇒ -(x-1) = 33 - 9

⇒ -x + 1 = 24

⇒ - x = 23

⇒ x = -23

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Two expressions with equal sign is called as Equation. The rating of a brand that costs $3.00 per bag is 7.

Two expressions with equal sign is called as Equation.

A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.

The general form of a simple linear regression equation is:

y=a+bx

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The output of the least squares regression analysis for predicting rating from price is provided.

So, the dependent variable is the ratings and the independent variable is the price.

The regression equation for predicting rating from price is:

y=0.39+2.52x

Predict the rating of a brand that costs $3.00 per bag as follows:

y=0.39+(2.52*$3.00)

=0.39+7.56

=7.17

=7 approximately.

Thus, the rating of a brand that costs $3.00 per bag is 7.

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Answer:

Ethan is correct because |7| = 7 and |-3| = 3 so 7 + 3 = 10. Plot 7 on a number line, and move right 3 to get 10 on the line.

Step-by-step explanation:

This question is missing the options, here is the complete question:

Read the quotation from "Song of Myself."

I have no chair, no church, no philosophy,

I lead no man to a dinner-table, library, exchange,

But each man and each woman of you I lead upon a knoll,

My left hand hooking you round the waist,

My right hand pointing to landscapes of continents and the public road.

Which statement best describes how these lines reflect the theme of the poem?

A. They indicate that Whitman is more interested in communicating with individuals than society.

B. They show Whitman’s sociability and his interest in human nature.

C. They reflect Whitman’s desire to share his love of the wilderness.

D. They suggest that Whitman views all individuals as equals who should communicate with each other as such.

The answer to this question is A. They indicate that Whitman is more interested in communicating with individuals than society.

Explanation:

In the poem "Song of Myself", Walt Whitman focuses on recognizing his value as an individual and the value of other individuals in society. In the section presented, the author shows the importance of communicating and interacting with individuals as he explains "My left hand hooking you round the waist", which shows through figurative language the interaction between individuals. This is emphasized by the use of "each man and each woman" as Whitman does not refer to others as a group but recognizes individuality. Thus, the theme or message about the importance of individuals is reflected in these lines because "they indicate that Whitman is more interested in communicating with individuals than society."

Answer:

A: They indicate that Whitman is more interested in communicating with individuals than society.

Step-by-step explanation:

Edge 2021

The correct parametric equations for the motion of Car A and Car B are: Car A: x = 70t, y = 5 + 70t; Car B: x = 6 - 50t, y = 50t. Option C is correct.

Car A is traveling north at a speed of 70 mph. Therefore, its velocity vector can be represented as <0, 70>.

Car B is traveling west at a speed of 50 mph. Therefore, its velocity vector can be represented as <-50, 0>.

Let's assume that at time t = 0, Car A is at position (0, -5) and Car B is at position (6, 0).

Then, the position vectors for Car A and Car B at any time t can be given as:

Position of Car A = <0, -5> + t<0, 70> = <0, 70t-5>

Position of Car B = <6, 0> + t<-50, 0> = <6-50t, 0>

Therefore, the parametric equations for the motion of Car A and Car B are:

Car A: x = 0, y = 70t-5

Car B: x = 6 - 50t, y = 0

So, option C is the correct answer.

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The probability that a randomly selected point within the circle falls in the red-shaded triangle is 0.31847.

We have to find the Area of Triangle and whole circle.

So, area of Triangle

= 1/2 x b x h

= 1/2 x 12 x 24

= 144 square unit

and, area of Circle

= πr²

= 3.14 (12)²

= 452.16 square unit

Now, the probability that a randomly selected point within the circle falls in the red-shaded triangle

= 144 / 452.16

= 14400 / 45216

= 0.31847

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

110 + 5x

Step-by-step explanation:

The base price is 110 dollars. The amount of people who attended the party is defined by x. Each person that joins the party adds 5 dollars to the total.

Answer:

one side = 8xy²·\(\sqrt{2x}\)

Step-by-step explanation:

if the area is 128x^3y^4 then to find one side you must take the square root

\(\sqrt{128}\)\(\sqrt{x^3}\)\(\sqrt{y^4}\) = \(\sqrt{4}\)\(\sqrt{32}\)\(\sqrt{x^2}\)\(\sqrt{x}\)\(\sqrt{y^2}\)\(\sqrt{y^2}\) =

2xy²\(\sqrt{16}\)\(\sqrt{2}\)\(\sqrt{x}\) =

8xy²·\(\sqrt{2x}\)

The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.

To determine the reserve ratio given the monetary multiplier, we can use the formula:

Monetary Multiplier = 1 / Reserve Ratio

Given that the monetary multiplier is 6, we can substitute this value into the formula:

6 = 1 / Reserve Ratio

To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:

1 / 6 = 1 / (1 / Reserve Ratio)

1 / 6 = Reserve Ratio

Therefore, the reserve ratio must be 1/6 or approximately 0.167.

Among the given options, b) 0.167 represents the correct answer.

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The position function of the object is s(t) = -0.02(t^3/3) + 6t, and the velocity function is v(t) = -0.02t^2 + 6.

The position and velocity of an object can be determined by integrating the given acceleration function. Given that a(t) = -0.04t, v(0) = 6, and s(0) = 0, we can find the position and velocity functions.

First, we integrate the acceleration function to obtain the velocity function:

∫a(t) dt = ∫-0.04t dt

v(t) = -0.02t^2 + C1

Next, we use the initial velocity v(0) = 6 to find the constant C1:

6 = -0.02(0)^2 + C1

C1 = 6

Therefore, the velocity function becomes:

v(t) = -0.02t^2 + 6

To find the position function, we integrate the velocity function:

∫v(t) dt = ∫(-0.02t^2 + 6) dt

s(t) = -0.02(t^3/3) + 6t + C2

Using the initial position s(0) = 0, we can find the constant C2:

0 = -0.02(0^3/3) + 6(0) + C2

C2 = 0

Thus, the position function becomes:

s(t) = -0.02(t^3/3) + 6t

In summary, the position function of the object is s(t) = -0.02(t^3/3) + 6t, and the velocity function is v(t) = -0.02t^2 + 6. These functions describe the object's position and velocity as a function of time based on the given acceleration, initial velocity, and initial position.

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Option 1 represents the null hypothesis (H0) and option 2 represents the alternative hypothesis (HA) for Michael's hypothesis test.

The null and alternative hypothesis should be based on what Michael is trying to test or prove.

From the given options, it seems that Michael is testing whether the percentage distribution of his classmates' favorite NBA players of all time is the same as the one reported by NBA or not.

Therefore, the appropriate null and alternative hypotheses are:

H0: The percentage distribution of his classmates’ favorite NBA players of all time is the same as the one reported by NBA.

HA: The percentage distribution of his classmates’ favorite NBA players of all time is different from the one reported by NBA.

So, option 1 represents the null hypothesis (H0) and option 2 represents the alternative hypothesis (HA) for Michael's hypothesis test.

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Answer:

25 width and 125 length

Step-by-step explanation:

50+50+100+100 is equal to 25+25+125+125

but 50 x 100 is not equal to 25 x 125

there are many other ways you could have written it as well

Answer:

Length: 40 yd, Width: 130 yd

Dimension's of parking lot: 70 × 100

For this perimeter:   2(L + W) = 2(70 + 100) = 340 yd

For this area:             L × W = 70 × 100 = 7000 yd²

To find dimensions producing same perimeter but smaller area. One dimension has to be too small and one too big.

Possible lengths (all of them applicable):

(a) 40 wide and 130 long

(b) 20 wide and 150 long

(c) 45 wide and 125 long

\( \: \: \: \: \: \: \: \: \)

\(x = - 1 \\ x = \: 7\)

Step-by-step explanation:

\(2(x - 3 {)}^{2} - 32 = 0\)

\((x - 3 {)}^{2} - 16 = 0\)

\((x - 3 - 4) \times (x - 3 + 4) = 0\)

\((x - 7) \times (x + 1) = 0\)

\(x - 7 = 0 \\ x + 1 = 0\)

\(x = 7 \\ x + 1 = 0\)

\(x = - 1 \\ x = 7\)

\( \: \: \: \: \: \: \: \)

Answer:

x = 22.5

Step-by-step explanation:

Step 1: Write equation

2.4(x - 10) = 8 + 1.2x - 5

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.4(22.5 - 10) = 8 + 1.2(22.5) - 5

2.4(12.5) = 8 + 27 - 5

30 = 8 + 22

30 = 30

Answer:

x=22.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.4(x−10)=8+1.2x−5

(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)

2.4x+−24=8+1.2x+−5

2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)

2.4x−24=1.2x+3

2.4x−24=1.2x+3

Step 2: Subtract 1.2x from both sides.

2.4x−24−1.2x=1.2x+3−1.2x

1.2x−24=3

Step 3: Add 24 to both sides.

1.2x−24+24=3+24

1.2x=27

Step 4: Divide both sides by 1.2.

1.2x

1.2

=

27

1.2

x=22.5

Answer:

x=22.5

Answer:

Solutions below

Step-by-step explanation:

This question requires the concept of substitution and order of operations (Bracket > Multiplication / Division > Addition / Subtraction).

Given x = - 2, y = - 3 and z = 4,

a) 2 x + 3 y = 2 (- 2) + 3 (- 3) = - 4 + (- 9) = - 4 - 9

= - 13

b) 2(y - z) = 2 (- 3 - 4) = 2 (- 7) = - 14

c)

\( \frac{6x}{2y} \\ = \frac{6( - 2)}{2( - 3)} \\ = \frac{ - 12}{ - 6} \\ = 2\)

Answer:

66

Step-by-step explanation:

79+35=114

180-114=66

angles in a triangle add up to 180

Answer:

The slope is 10 and the y intercept 0

Step-by-step explanation:

m is 10 and c is 0. The reason why is because m is the slope and c is the y intercept.

Answer:

m = 10

c = 0

Step-by-step explanation:

Assuming that your form of slope-intercept form is y = mx + c (I have mine y = mx + b), m would be the slope, which is equal to 10 and since there is no y-intercept (It crosses at 0, 0), c/b would equal to 0.

No, the lines cannot ever match up perfectly because there is always some sort of difference between them. The lines can have the same slope if they have the same change in y-values for a given change in x-values. The lines can also have the same y-intercept if they cross the y-axis at the same point.

No, there will never be a perfect alignment between the lines since there will always be a discrepancy of some kind. However, the lines can have the same slope and y-intercept. This is possible because the slope and y-intercept are determined by the equation of the line, and if two lines have the same equation, then they will have the same slope and y-intercept.

If the lines intersect the y-axis at the same location, they can also have the same y-intercept. This means that the two lines have the same value of b in the equation y = mx + b. This means that the two lines have the same slope and the same y-intercept.

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Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Step-by-step explanation:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer:

it is going to be

E

(3.5,3)

K

(-3.5,-5 )

Step-by-step explanation:

The point that is the reflection of D across the x-axis and the y-axis is point E , and the coordinates of this point are (3.5,3) . The reflection of point L across x-axis is point K , and the coordinates of this point are (-3.5,-5).

Answer:

hope this will help you...

Answer:

50.3

Step-by-step explanation:

75*0.33=24.75

75-24.75=50.25

50.25=50.3

Answer:

Step-by-step explanation:

26/3=13^1

For the first equation you add 2 on both sides to get m < -6.

For the second you multiply by 8 on both sides to get m > 8

The answer is C.

Hope this helps

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

It is a statement of an ordered relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

m - 2 < -8 or m/8 > 1

Let's find m for each inequality.

m - 2 < -8

Adding 2 on both sides.

m - 2 + 2 < -8 + 2

m < -6 _____(1)

m/8 > 1

Multiply 8 on both sides.

8 x m/8 > 8 x 1

m > 8 _____(2)

From (1) and (2) we get,

m < -6 or m > 8

Thus,

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

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Answer:

i dont think you can solve this because  

The expression is not factorable with rational numbers.

there are no like terms

The derivative of the function f(w) = cos [sin^-1 (8w)] is :

f'(w) = -64w/√(1-64w^2)

To evaluate the derivative of f(w)= cos [sin^-1 (8w)], we can use the chain rule.

Let u = sin^-1 (8w), then du/dw = 8/√(1-64w^2) by the inverse sine rule.

Now, let y = cos u, then dy/du = -sin u by the cosine rule.

Putting it all together, we get:

f'(w) = dy/dw = dy/du * du/dw = -sin u * 8/√(1-64w^2)

Substituting back in for u, we get:

f'(w) = -sin(sin^-1(8w)) * 8/√(1-64w^2)

Since sin(sin^-1(x)) = x, we can simplify to:

f'(w) = -64w/√(1-64w^2)

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