HELP ME 60 POINTS PLEASE HELP ME!!!! Tell me what you know about slope. be as detailed as possible and write in complete sentences in paragraph form. Some examples you can expand on would be slope of parallel and perpendicular lines, finding slope on a graph, using slope formula, etc.

The value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

The equation is given as

log₄(9x²) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log(9x²)/log(4) = log₂(5x - 8)

Express 4 s 2^2 and 9 as 3^2

So, we have

log(3x)²/log(2²) = log₂(5x - 8)

Apply the power law of logarithm

So, we have

2log(3x)/2log(2) = log₂(5x - 8)

Evaluate the quotient

So, we have

log(3x)/log(2) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log₂(3x) = log₂(5x - 8)

Cancel out the common base

So, we have

3x = 5x - 8

Collect the like terms

So, we have

3x - 5x = - 8

Evaluate the like terms

So, we have

-2x = - 8

Divide both sides by -2

So, we have

x = 4

Hence, the value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

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Answer:

[tex]\sqrt{20} \text{ or } 2\sqrt{5}[/tex]

Step-by-step explanation:

So in this question we want to use the Pythagorean Theorem which essentially gives us a relationship between the sides of a triangle and is as follows: [tex]a^2+b^2=c^2[/tex]

In this formula the "a" and "b" represent the base and the height and "c" represents the hypotenuse of the triangle

The order in which you assign "a" and "b" do not matter, so let's just say that: [tex]a=4\ \text{and}\ c=6[/tex]

Although it is important that you assign the hypotenuse to "c".

So plugging in known values we have the equation:

[tex]4^2 +b^2=6^2[/tex]

Square the values

[tex]16+b^2=36[/tex]

Subtract1 16 from both sides

[tex]b^2=20[/tex]

take the square root of both sides

[tex]b=\sqrt{20}[/tex]

This "b" represents our other side, which we did not initially know, so this is our answer :)

You can simplify this further by separating the radical into: [tex]\sqrt{20} = \sqrt{4} * \sqrt{5} = 2\sqrt{5}[/tex]

The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

The expression is given as

(18)2⋅(19)2

Rewrite the above expression properly

So, we have

(18)^2 * (19)^2

The factors in the above expression have the same exponent.

So, the expression can be rewritten as

(18 * 19)^2

Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

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The correct answer is D. the x- intercept of the given graph is (-1.75,0) and y - intercept is (0,3)

The x-intercept is the location where a line's graph crosses the x-axis.

The y-intercept is the location where a line's graph crosses the y-axis.

The shapes of these points are (x,0) and (0,y), respectively.

Utilize the fact that all x-intercepts have a y-value of zero and all y-intercepts have an x-value of zero to get the x- and y-intercepts algebraically. Set x=0 and find the equivalent y value to calculate the y -intercept. Set y=0 and then figure out the matching x value to discover the x -intercept.

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the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5)

Here we have a polynomial with the following roots:

So, if we define A as the leading coefficient, we can write the polynomial as:

p(x) = A*(x - 2)^2*(x + 5)

We know that the y-intercept is -6, so evaluating in x = 0 we should get:

p(0) = -6 = A*(0 - 2)^2*(0 + 5) = A*4*5 = A*20

         -6/20 = A = -3/10

Then the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5).

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Answer:

74

Step-by-step explanation:

(74)-18=56

74 subtracted from 18 gives 56

I disagree with Neva's conclusion about the rectangular prism

The complete question is added as an attachment

From the question, we have the following statements:

The points where the faces of a rectangular prism meet are called the vertex

Truly, a rectangular prism has 6 faces.

However, the vertices in the rectangular prism is just 8

Hence, I disagree with Neva's conclusion about the rectangular prism

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The surface area of the right rectangular prism is 398 square meters

The net of the right rectangular prism is the given parameter

On the net of the right rectangular prism, we have the following values

Length, l = 11 m

Width, w = 9 m

Height, h = 5 m

The surface area of the right rectangular prism is calculated using

Surface area = 2 * (l * w + l * h + w * h)

So, we have

Surface area = 2 * (11 * 9 + 11 * 5 + 9 * 5)

Evaluate the sum of products

So, we have

Surface area = 2 * 199

Evaluate the products

So, we have

Surface area = 398

Hence, the surface area of the right rectangular prism is 398 square meters

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Answer:

C

Step-by-step explanation:

Answer:

7 Po Pa Brainlest nalang po

Answer:

112.5

Step-by-step explanation:

450(45/220) = 450/4 = 112.5

Answer:

f(x)/y = |x - 3| y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals is C . E = ± 4.00

Based on the information, the following can be deduced:

n = 600

mean = 490.

standard deviation = 50.

At 95% confidence interval, z will be:

= 1 - 95%

= 0.05

Using the distribution table, the value will be Z(0.05/2) = Z value of 0.025 = 1.96

Therefore, the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals will be:

= ± 1.96 × 50/✓n

= ± 4.00

In conclusion, the correct option is C.

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Answer:

The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

Step-by-step explanation:

It is given that a line perpendicular to YX passes through the point (3,-8).​

Now,

The slope of the line perpendicular to the line YX is 1.

=> y = x

So, Slope = 1

Furthermore, the slope of the required line can be written as -1.

So, the required line can be written in slope-intercept form as;

=>  y = − x + c

It is further given that the line passes through the point (3,2);

So, after putting all the value in the above-mentioned equation, we get;

=> 2 = − 3 + c

=> c = 5

So, x + y = 5

Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

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The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

It is given that a line perpendicular to YX passes through the point (3,-8).​

Now,

The slope of the line perpendicular to the line YX is 1.

=> y = x

So, Slope = 1

Further more, the slope of the required line can be written as -1.

So, the required line can be written in slope-intercept form as;

=>  y = − x + c

It is further given that the line passes through the point (3,2);

So, after putting all the value in the above-mentioned equation, we get;

=> 2 = − 3 + c

=> c = 5

So, x + y = 5

Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

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Answer:

-1

Step-by-step explanation:

Assuming "ground level" is 0, then the one below it (parking level A) would be -1.

The region that represents the solution to the system of two inequalities would be Region A.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Since x≥0 and y≥0 at every point in the shaded region in the first quadrant represent a solution of the given system of inequalities

Since, the system of two inequalities are strict then in graph lines drawn is dotted line as point on line does not includes in the inequality.

The region that represents the solution to the system of two inequalities would be Region A; because the shaded regions are not required.

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Step-by-step explanation:

16 3/4 days in total.

that are (16×4 + 3)/4 = 67/4 days.

he has taken

1 3/4 = (1×4 + 3)/4 = 7/4 days

4 2/3 = (4×3 + 2)/3 = 14/3 days

2 1/6 = (2×6 + 1) = 13/6 days

to be able to add abd subtract them directly, we need to bring all fractions to the same denominator.

we have 3, 4, 6 : the smallest common multiple is 12 (can be divided without remainder by 3, 4 and 6).

we need to multiply each fraction by a fitting n/n factor to bring the denominators to 12 and keep the overall value of the fraction unchanged.

67/4 = 67/4 × 3/3 = 201/12

7/4 = 7/4 × 3/3 = 21/12

14/3 = 14/3 × 4/4 = 56/12

13/6 = 13/6 × 2/2 = 26/12

the remaining vacation time is

201/12 - 21/12 - 56/12 - 26/12 = 98/12 = 49/6

49/6 = 8 and remainder 1 = (8×6 + 1)/6 = 8 1/6 days

The digit in each indicated place value in the number 6,048,230,157 are as follows:

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

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The number of toppings where the cost of each pizza would be equal is 5.

The first step is to formulate an equation that represents the cost of each type of pizza.

Total cost = price of cheese pizza + (price per topping x number of toppings)

Cost of pizza A = $10 + $1.50t

Cost of pizza B = $12.50 + t

When the cost of both pizzas are equal, the above equations would be equal to each other.

$10 + $1.50t = $12.50 + t

To determine the value of t, take the following steps:

Combine similar terms: 1.50t - t = $12.50 - $10

Add similar terms = 0.50t = 2,50

Divide both sides by 0.50 = t = 2.50 / 0.50

t = 5

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The equation of line can be written as, y = 2/3x + 2

Given,

The points, (x, y) = (-3, 0)

Slope = 2/3

Equation of a line, y = mx + c

Where, m is the slope and c is the y-intercept.

Here, m is 2/3.

The point at the x-intercept has co-ordinates : (-3, 0)

Where, x is -3 and y is 0.

So, substitute the values in equation:

y = mx + c

0 = 2/3 × (-3) + c

0 = -2 + c

c = 2

Therefore, the equation of line will be:

y = 2/3x + 2.

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Using it's formula, the variance of the data-set is of 15 units squared.

For this problem, the mean is given by:

Mean = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8.

Hence the variance is given as follows:

Variance = 1/8 x [(3-8)² + (4-8)² + (5-8)² + (7-8)² + (10-8)² + (12-8)² + (15-8)²] = 15.

Hence the variance of the data-set is of 15 units squared.

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Answer:

y=-23/6

Step-by-step explanation:

Answer:

y=-26

Step-by-step explanation:

multiply each side by 3

Y+1/2-2y-3=12

Multiply each side by 2

Y+1-2y-3=24

Add 3 to each side

Y+1-2y=27

Subtract each side by 1

Y-2y=26

-y=26

Multiply each side by -1

Y=-26

Answer: 18x-  9

Step-by-step explanation:

1.) Put the numbers in their correct lineup. 18 * x - 9

2. Add parentheses around 18 * x, secluding them away from the -9.
(18 * x) -9

3.) Remind yourself of PEMDAS (Parentheses, Exponents, Multiplication, Division, Add, and Subtract). In this equation, 18 * x are in parentheses().
(18 * x)

4.) Multiply 18 * x... Which equals 18x.

5. Equation should now look like : 18x - 9

6. You can't combine those two numbers because the coefficiant (The coefficiant is 18.) and the regular number (-9) are not equal.

8. Answer : 18x-9

Answer:

0.9x=459.99, $511.10

Step-by-step explanation:

If the original cost was x, the cost after the discount is 0.9x.

[tex]0.9x=459.99 \\ \\ x=\frac{459.09}{0.9}=511.10[/tex]

The value of expression without the negative exponent is,

⇒ 2/x⁴

What is Rule of exponent?

The rule of exponent is defined as;

aⁿ = 1/a⁻ⁿ

Now, The expression is given as;

2x⁻⁴

It can be rewrite as;

2x⁻⁴ = 2 / x⁴

Hence, The value of expression without the negative exponent is,

⇒ 2/x⁴

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The transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

The equations of the functions are given as

f(x) = |x|

g(x) = |x + 3|

The above implies that

g(x) = f(x + 3)

When a function is shifted to the left by h units, it is represented as

g(x) = f(x + h)

This means that

h = 3

So, the transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

Hence, the required transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

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The maximum possible perimeter of the triangle 25cm.

What is perimeter of a triangle?

The length of all a triangle's sides added together yields the perimeter of a triangle.

How to calculate the perimeter of a triangle?

Add the lengths of the triangle's sides to determine its perimeter. For instance, the perimeter of a triangle with sides a, b, and c is P = a + b + c.

Given the lengths of sides of triangle are 7cm, 8cm, and 10cm.

The perimeter of the triangle is 7 + 8 + 10 = 25cm

Therefore, the maximum possible perimeter of the triangle 25cm.

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Step-by-step explanation:

so, first $300 must be paid without any ifs and whens.

for the rest of the amount the insurance will cover 70%.

the bills total to

700 + 930 = $1630

he must pay $300 of that directly.

that leaves 1630 - 300 = $1330 for the 70/30 split between insurance and patient.

the patient must pay 30% of these $1330.

100% = 1330

1% = 100%/100 = 1330/100 = $13.30

30% = 1% × 30 = 13.30 × 30 = $399

so, the patient pays

300 + 399 = $699

of the $1630 bill.