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The way that this linear function compares to y+11 is that It has the same slope and the same y-intercept.

This is the type of function that would produce a line when it is graphed out.

When we write out the equations in 1 and 2 we would see that they are basically the same type of equation. A linear equation is made up of the slope and the intercept.

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Answer:

A) It has the same slope and the same y-intercept.

Step-by-step explanation:

I really hope this helps.

From (0, 0), the points A and D in the graph are at (-1, -1) and (2, -1) respectively.

Since the scale factor is 2, every point will be moved twice a distance in both directions. (x and y).

So, multiplying both coordinates by 2, we will get the dilated points.

Hence, A' will be at (2 × (-1), 2 × (-1)) = (-2, -2) and D' will be at (2 × 2, 2 × (-1)) = (4, -2).

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If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.

Solving for x using Pythagoreans theorem

5² + x² = 17²

x² = 289- 25

x = √264

x = 16

Since the shape is a parallelogram shape. Hence:

x = y

y = 16

Therefore If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.

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Answer:

  x = -5.6

Step-by-step explanation:

Using the given coordinates in the given slope formula, we have ...

  (y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope

  (4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)

Multiplying by 30, we have ...

  5(x-4) = -48

  5x -20 = -48 . . . . eliminate parentheses

  5x = -28 . . . . . . . . add 20

  x = -5.6 . . . . . . . . divide by 5

__

Additional comment

In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.

If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.

Answer:

a ≈ 8.82

Step-by-step explanation:

using the cosine ratio in the right triangle

cos54° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{15}[/tex] ( multiply both sides by 15 )

15 × cos54° = a , then

a ≈8.82 ( to the nearest hundredth )

[tex]24x =( 96 \div 2) + (55 - 50 - 4 + 5 - 6) \\ \\ 24 x = 48 + 0 \\ \\ 24x = 48 \\ \\ x = \frac{48}{24} \\ \\ x = 2.[/tex]

The sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is 116.

Given margin of error of 2,probability of 0.95 and standard deviation is 11.

We have to calculate the sample size needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation of 11.

We know that the margin of error is the difference between the calculated values and actual values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is z value ,σ is standard deviation ,n is the sample size.

First we have to calculate the z value for the corresponding p value which is given of  0.95. We assume that the test is two tailed. z value is 1.96.

Now put the value of z , σ, n and margin of error in the formula of margin of error to get the value of n which is sample size.

2>=1.96*11/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]>=(1.96*11)/2

[tex]\sqrt{n}[/tex]>=10.78

By squaring both sides we get,

n>=116.2064

Hence the sample size which is needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation equals 116.

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Answer:

h(x)=2x-1

Step-by-step explanation:

The Given function is

f(x) =2*(0.35)* x

→y=0.7* x→Pre image

The line passes through first and third quadrant.

it is equation of straight line passing through origin and slope =0.7.

When this line is reflected over y axis , the equation of new line will be

→y= - 0.7 x⇒image

Slope of image will be = -0.7

The Image passes through Second and fourth Quadrant.

Answer:

5.6 x [tex]10^{3}[/tex]

Step-by-step explanation:

5600 is 5.6x10^3 in scientific notation.

5.6 x [tex]10^{3}[/tex]

Answer:

D. 5.6 × 10³ L

Edge

Answer:

7/16 is greater than the fraction represented by the model.

Step-by-step explanation:

The fraction represented by the model is 1/4. 7/16 is greater than 1/4 because it has a greater numerator and a smaller denominator.

Answer:

1/4 because the question is disinigrating 1/4 of my brain cells, because we can’t see the model…

Step-by-step explanation:

Answer:

the median of th given data is 243

Answer:

x = -7/2 and y = -11/2

Step-by-step explanation:

These equations are known as slope-intercept equations.

Slope-intercept equation are a type of linear equation.

The slope-intercept format is: y = mx + b

Because there are two equations, this would be a system of equations.

So, to figure this out, we need to use the substitution method.

_____________________________________________

Problem:

Solve y=x−2;y=3x+5

Solution:
Step: Solve y=x−2 for y:

Step: Substitute x-2 for y in y = 3x + 5:

y = 3x + 5

x - 2 = 3x + 5

x−2+−3x=3x+5+−3x(Add -3x to both sides)

−2x−2=5

−2x−2+2=5+2(Add 2 to both sides)

−2x=7

-2x/-2 = 7/-2 (Divide both sides by -2)

x = -7/2

Step: Substitute -7/2 for x in y = x - 2:

y = x - 2

y = -7/2 - 2

y = -11/2(Simplify both sides of the equation)

Answer:

x = -7/2 and y = -11/2

Answer:

71,788

Step-by-step explanation:

     7 1 5 2 6

+         2 6 2

____________

     7 1 7 8 8

Answer:

7

Step-by-step explanation:

Given,

3 Piles = 21 cards

1 Pile = (21 ÷ 3) cards

= 7 cards.

Answer:

7

Step-by-step explanation:

Because there is 7 cards in 1 pile. it follows the ratio of 7:1

Using limits, a graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x  = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].

It is given by it's limits as x goes to negative and positive infinity.

In this problem, the function is:

[tex]f(x) = x^4 + x^3 - x^2 - x[/tex]

The limits are:

A graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x  = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].

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The equivalent expression is [tex]3x^4\sqrt{2}[/tex] . Option B

Given the expression

= [tex]\frac{18x\sqrt{14x^8} }{6\sqrt{7x^4} }[/tex]

Divide the multipliers, we have

= [tex]\frac{3x\sqrt{14x^8} }{7x^4}[/tex]

Let factorize the numerator in square root

= [tex]\frac{3x \sqrt{7x^4 * 2x^4} }{7x^4}[/tex]

Eliminate the like factor in both the numerator and denominator

= [tex]3\sqrt{2x^4}[/tex]

Let's bring forth the 'x' factor, we have

= [tex]3x^4\sqrt{2}[/tex]

Thus, the equivalent expression [tex]3x^4\sqrt{2}[/tex] . Option B

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Answer:

The answer will be 8

Step-by-step explanation:

SInce you notice there is movies with an 8 difference....

Answer:

4 horror movies

Step-by-step explanation:

This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:

[tex]\frac{24}{32}=\frac{3}{x}[/tex]

We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:

[tex]24x = 3*32\\24x = 96\\x = 4[/tex]

This means that there are 4 horror movies

Using circle theorem, If MN has a length of π cm, the length of LM is   π√3 cm

ΔMON = equilateral triangle.

Equilateral triangle has all its sides and angle equal to each other.

Therefore,

MN = π

Hence,

ON = MN = OM = π

ON = radius of the circle

Therefore,

LN = π+ π = 2π

Using circle theorem,

∠LMN = 90 degrees

Therefore, using Pythagoras theorem,

LM² = (2π)²- π²

LM² = 4π² - π²

LM = √3π²

LM = π√3 cm

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The constant of variation based on the information is one half.

From the information given, when x is 2, y is 1, when x is 4, y is 2, etc. It should be noted that this is a direct variation.

This will be illustrated as:

y = kx

when y = 1, x = 2.

1 = 2k

Divide both side by 2.

k = 1/2

Therefore, the constant of variation is 1/2.

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The point (-2, 5) is not included in the solution area

The system of inequalities is given as:

y > 5x + 5

y > -2x+1

See attachment for the graph.

Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded

The point is given as:

(-2, 5)

The point (-2, 5) is not in the shaded area of the system of inequalities

Hence, the point is not included in the solution area

Mathematically, we have:

5 > 5 * -2 + 5 ⇒ 5 > -5 --- true

5 > -2 * -2 +1 ⇒ 5 > 5 --- false

Since both inequalities are not true, then the point is justified

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Step-by-step explanation:

k = √(49 - 12√5)

= √(45 + 4 - 2 √180)

= √45 - √4

= 3 √5 - 2.

So, k + 2 = 3 √5 - 2 + 2 = 3 √5.

Answer:

k + 2 = 3√5

Explanation:

[tex]\sf Given: k = \sqrt{49 - 12\sqrt{5} }[/tex]

[tex]\sf \rightarrow k = \sqrt{49 - 12\sqrt{5} }[/tex]

step 1: breakdown

[tex]\sf \rightarrow k = \sqrt{4 + 45- 2 \times 2 \times 3 \sqrt{5} }[/tex]

step 2: rewrite 45 = (3√5)²

[tex]\sf \rightarrow k = \sqrt{4 + (3\sqrt{5})^2 - 2 \times 2 \times 3 \sqrt{5} }[/tex]

step 3: rearrange as per a² -2ab + b² = (a - b)²

[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5})^2 - 2 \times 3 \sqrt{5} \times 2 +2^2}[/tex]

step 4: comparing, here: a = 3√5, b = 2

[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5} -2)^2}[/tex]

step 5: simplify √a² = a

[tex]\sf \rightarrow k = 3\sqrt{5} -2[/tex]

Then find k + 2

[tex]\rightarrow \sf k = 3\sqrt{5} -2 + 2[/tex]

[tex]\rightarrow \sf k = 3\sqrt{5}[/tex]

The number of guests on Saturday is 210 and it is greater than the party of Friday (15 guests)

Last Friday had 15 guests

The sum total of guests on Saturday= 210 guests (using Arithmetic progression)

Using the arithmetic progression sum formula:

1 * 20  + (20 * 19/2) * 1= 210

Therefore, 210 > 15, so we can conclude that the Saturday night party was bigger than Friday's own.

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Answer:

option c, x = 3

Step-by-step explanation:

Given:

Since both equal f(x) they must be equivalent as well,

[tex]3^{x} = 27\\[/tex]

Apply exponent rule, 3 x 3 x 3 = 27

hence x = 3

A function that fits the following points (0,5), (2,-13) is y = 9x + 5

The equation of a line in slope-intercept form is expressed as;

y =mx +b

where;

m is the slope

b is the intercept

Given the following coordinates (0,5), (2,-13)

Slope = -13-5/2-0
Slope = -18/-2

Slope = 9

Since the y-intercept is b = 5, hence the equation of the line will be y = 9x + 5

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Answer:

x=20

Step-by-step explanation:

a) isolate the variable

K-8=12

10-4=6

The measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.

B = 180 - (25 + 55)

B = 100⁰

sin (B)/AC = sin (C)/AB

sin (100)/AC = sin (55)/60

sin (100)/AC = 0.01365

AC = sin (100) / (0.01365)

AC = 72 units

sin (A)/BC = sin (C)/AB

sin (25)/BC = sin (55)/60

sin (25)/BC = 0.01365

BC = sin (25) / (0.01365)

BC = 31 units

Thus, the measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.

The complete question is below:

In triangle ABC angle A= 25, angle C= 55 and length AB = 60 . What are the approximate measures of the remaining side lengths of the triangle?

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Answer: A

Step-by-step explanation: edge2023