Find the equation of the line that passes through (1,4) and is parallel to 3x + y - 1 = 0. Leave your answer in the form y = mx + c.

When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.

In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.

This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.

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The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

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Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?

Answer: 3rd option

Step-by-step explanation: ?

Answer:

The perimeter of the figure will be 62.8 or B

Step-by-step explanation:

1) The radius is 10

2) Perimeter basically means circumference

3) The formula for circumference is 2πr

4) 2π*10

5)2*pi=6.28*10=62.8

Answer: ima try

Step-by-step explanation: how i always do it is the second number (-2) you start for the mid point (0,0) if its -2 go down 2 if it 2 go up 2 if its 0 stay there then you go to the first number(2/3) from where you landed thats now the new start point then you go (x,y) in this equation its (2/3) so go up 2 right three but watch out for the negatives. so if it was -2/3 you would go down 2 then right 3

i hoped this helped its hard to explain but I tried

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, \(\frac{4}{3}\) )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = \(\frac{A'}{A}\) = \(\frac{-1}{-3}\) = \(\frac{1}{3}\) and \(\frac{\frac{4}{3} }{4}\) = \(\frac{1}{3}\)

similarly B (1, - 2 ) and B' (\(\frac{1}{3}\), - \(\frac{2}{3}\) )

\(\frac{\frac{1}{3} }{1}\) = \(\frac{1}{3}\) and \(\frac{-\frac{2}{3} }{-2}\) = \(\frac{1}{3}\)

Answer:

129 = x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

47+82 = x

129 = x

Answer:

47+82 = x

129 = x

hope it helps

a family of functions is a set of functions whose equations have a similar form. the "parent" of the family is the equation in the family with the simplest form.

      Option (3). Mariah should have added 400 and 100 to the right side of the equation in step 4.

        (x - a)² + (y - b)² = r²

        Here, (a, b) is the center of the circle

        And r = radius of the circle

Equation given in the question → 25x² + 25y² - 200x + 100y + 4 = 0

Conversion of the equation into standard form,

25x² + 25y² - 200x + 100y + 4 = 0

25x² - 200x + 25y² + 100y = -4

25(x² - 8) + 25(y² + 4y) = -4

25(x² - 8x + 16) + 25(y² + 4y + 4) = -4 + 400 + 100

25(x - 4)² + 25(y + 2)² = 496

(x - 4)² + (y + 2)² = \(\frac{496}{25}\)

     Hence, Mariah made an error in 4th step by adding 16 and 4 instead of adding 400 and 100 to the right side. Option (3) will be the correct option.

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Answer:

hope this helps!!!

Step-by-step explanation:

We need to determine which of the given inequalities can be used to determine how long you must walk (w) and run (r) in order to cover more than 8 miles.

We know that you can walk at a rate of 4 mi/h, and run at a rate of 6mi/h.

Thus, if you walk for w hours, you will walk a distance d₁, in miles, given by:

Also, if you run r hours, you will run a distance d₂, in miles, given by:

Now, notice that the total distance is the sum of d₁ and d₂. And the total distance, in miles, must be greater than 8.

We represent 'greater than' using the symbol '>':

Therefore, the correct option is:

∛(1/8 - x) = -1/2

Take the 3rd power of both sides and solve:

(∛(1/8 - x))³ = (-1/2)³

1/8 - x = -1/8

2/8 = x

x = 1/4

you will need 7 cups of sugar. 35 divided by 5 is 7.

Answer: You will need 7 cups of sugar.

Step-by-step explanation:

For every 5 eggs, you add one cup of sugar. 35 eggs divided by 5 eggs = 7 cups of sugar.

Answer:

31.8

Step-by-step explanation:

Answer:

(x, y) ----> (x - 2, y + 2.5)

This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.

C (4, -5)

C'(2, -2.5)

4-2 = 2

-5+2.5 = -2.5

Since those are the coordinates of C', that is your rule.

Step-by-step explanation:

for 1 book=480

for 4 books= 480×4

=1920

Answer:

If one book costs 480, then four books will cost the quadruplee. To calculate it, we can multiply by 4 the price of one book:

480 * 4 = 1920

So we know it wouldd cost 1920 rp to buy four.

Answer:

C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Step-by-step explanation:

Data Set 1

\(\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3\)

\(S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}\)

\(\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67\)

Data Set 2

\(\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3\)

\(\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89\)

0.89 X 2=1.78 which is close to 1.67

Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

Answer:

w = 7 inches

Step-by-step explanation:

length = n

width = n/2

Perimeter = 2n + 2(n/2)

42 = 2n + n

42 = 3n

n = 14

width = 14/2 = 7

Answer:

Rewrite in slope-intercept form.

y = 5/4x + 4

Using the slope-intercept form, the y-intercept is b=4

Step-by-step explanation:

Answer:

cosC = \(\frac{7}{25}\)

Step-by-step explanation:

cosC = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{7}{25}\)

The equation is 1.67 + 24x = 31.19.

thanks, this is a answer (:

Answer:

7 books

$27

Step-by-step explanation:

3x + 6= 5x - 8

3x - 5x = -14

-2x= -14

x= 7 books

he has (3×7)+6= $27

Let comics be c and mystery be m

Cost be y

c=m

The equations are

Solve for m

He has

The measure of angle 6 is 38°.

What are vertically opposite angles?

Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.

When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.

We know that, if two lies are parallel and a transversal cuts the lines.

then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.

similarly, In the give figure,

we ca see that angle 6 ad angle 38 are vertically opposites angle.

so, angle 6 = 38°

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Answer:

40

Step-by-step explanation:

1. List all the multiples

10,20,30,40

8,16,24,32,40

1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 =  ⁷/₉(x + 4)

1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0

Thus, let us rearrange to find the slope.

7x − 9y − 8 = 0

⇒ 9y = 7x - 8

⇒ y = ⁷/₉x - ⁸/₉

Slope; m = ⁷/₉

Now,  the point slope formula is;

y − y₁ = m(x − x₁)

where;

y₁ is the y-coordinate

x₁ is the x-coordinate

m is the slope

Thus the line Passing through (−4,4) is;

y - 4 =  ⁷/₉(x + 4)

2) The equation in general form is;

y = 4 + ⁷/₉x + ²⁸/₉

y = ⁷/₉x + ⁶⁴/₉

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Answer:

s (t) = 12 - 0.75t

Step-by-step explanation:

Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours  after the storm ended, after the storm ended, the depth of snow was down to 9 inches.

Snow melted in 4 hours =

Initial depth of snow = 9 + 3 inches = 12 inches.

Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)

Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.