Find the rule for the line that passes through each of these pairs of points. Use : y - y1 = m(x - x1).

(4, -8) and (0,4)

(3,1) and (-3, -1)

Answer:

Expression= 10 + 5x

45 dollars is money used for 7 gigabytes

Step-by-step explanation:

Money used = 10 + 5x

45 dollar is money used for 7 gigabytes

Answer:

y=5x+10

Step-by-step explanation:

the x axis is the amount of GB

the y axis is the money

if we have 5 dollars for every gb then its: y = 5x + 10

Minimum percentage: 96% of the data set lies between 50 and 100.

The value of k:

Mean – (k) (sd) = lower limit

75 – 5K - 50

75 – 50 = 5k

25 = 5k

K = 5

For the percentage, we are using:

1 – 1/k^2.

1 - 1/ 25 = 24/25 = 96%

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a) We can compare the functions about their transformations, there are some rules of translation/transformation:

*f(x)+b shifts the function b units upward

*f(x)-b shifts the function b units downward

f(x+b) shifts the function b units to the left

f(x-b) shifts the function b units to the right

-f(x) reflects the function in the x-axis.

By this, we can say that g(x) is 3 units upward f(x). h(x) is 4 units upward f(x).

k(x) is 1 unit downward f(x).

b) By the same rules, we can say that (x) is translated 2 units to the left.

s(x) is translated 4 units to the left.

q(x) is translated 2 units to the right.

Answer:

4.8888889

Step-by-step explanation:

44/9 is basically the same as 44 ÷ 9.

44 ÷ 9 = 4.8888889.

The 8 is terminating, and because I cannot add a line above the 8, I have placed multiple 8s.

Hope this helps!

Btw, could I get Brainliest? Thanks!

Answer:

4.88889

Step-by-step explanation:

Answer:

200 I think that is it. If not I'm not sure.

Answer:  (It could just be the first one you did not give enough information for your question so I wasn't sure)

[tex]\sqrt{\frac{x-2}{2} } , -\sqrt{\frac{x-2}{2} }[/tex]

Step-by-step explanation:

Replace y with x:

[tex]y=2x^{2} +2[/tex]   ⇒   [tex]x=2y^{2} +2[/tex]

Subract 2 from both sides:

[tex]x-2=2y^{2} +2 -2\\[/tex]   ⇒   [tex]x-2=2y^{2}[/tex]

Divide 2 from both sides:

[tex]\frac{x-2}{2} = \frac{2y^{2} }{2}[/tex]   ⇒   [tex]\frac{x-2}{2} =y^{2}[/tex]

Square root both sides:

[tex]\sqrt{\frac{x-2}{2} } =\sqrt{y^{2} }[/tex]    ⇒  [tex]y=\sqrt{\frac{x-2}{2} }[/tex]

I hope this helps you have a bright blessed day.

2025 cm² × 2025 cm² = 4100625cm^4

What is Square?

A number is multiplied by itself to form a square. To describe this operation, the term "to square" is employed. For example, the square of 3 can be expressed as 32, which is the number 9, because squaring is the same as raising to the power 2, and it is indicated by a superscript 2. The notations x2 (caret) or x**2 may be used in place of x2 when superscripts are not always an option, such as in programming languages or plain text files. Quadratic is the adjective that describes squaring.

So we have to simply multiply :

2025 cm² × 2025 cm²

By multiplying we get

2025 cm² × 2025 cm² = [tex]4100625cm^{4}[/tex]

Hence, 2025 cm² × 2025 cm² =  [tex]4100625cm^{4}[/tex]

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After a rotation of 180° counterclockwise about the origin, the image of the point will be (6, -2).

A rotation of 180° counterclockwise (or clockwise, is the same thing actually) always moves our point two quadrants, and it will only change the signs of the coordinates of the point.

In this case, we start with the point whose coordinates are (-6, 2), so it is on the second quadrant.

Then, after the rotation is applied, the new coordinates of our point will be on the fourth quadrant, so we will have a positive x-value and a negative y-value.

Then the new coordinates are:

(- (-6), -2) = (6, - 2)

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Janet can use an equation 60 = 420 / (4.5 + h) to predict the number of hours they will drive on the second day.

In this question, we have been given that the distance between Janet's college and Janet's home is 420 miles.

d = 420 miles

Janet and her parents plan to drive for 4.5 hours on the first day, then stop at a hotel for the night and complete the trip on the second day.

Let they drive for 'h' hours on the second day.

This means, total time = (4.5 + h) hours

They expect their average speed will be 60 miles per hour.

Using the formula of speed,

speed = distance / time

60 = 420 / (4.5 + h)

Janet can use above equation to predict the number of hours they will drive on the second day.

We need to find the value of h.

4.5 + h = 420 / 60

4.5 + h = 7

h = 2.5 hours

This means, they will drive for 2.5 hours on the second day.

Therefore, Janet can use an equation 60 = 420 / (4.5 + h) to predict the number of hours they will drive on the second day.

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The slope of line thorough point  (0,-2) and (2, 2) is 2.

A line's slope can be used to determine a line's direction and steepness. Without actually using a compass, determining the slope of lines in a coordinate plane can help infer whether the lines are parallel, perpendicular, or none at all.

Any line's slope can be calculated using just two clearly separated points along the path. The slope of a line formula compares the "vertical change" to the "horizontal change" in each case when two different points on a line are taken into account.

The slope of the line is given by the point-slope formula

[tex]m =\frac{y_2 -y_1 }{x_2 - x_1}[/tex]

we have (x1,y1) = (0,-2) and (x2,y2) = (2, 2)

Substituting the values we get

[tex]m =\frac{2 -(-2) }{2 - 0}[/tex]

m = 4/2

m = 2

Thus, The slope of line thorough point  (0,-2) and (2, 2) is 2.

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Segments that skew to segment VW are mentioned below.

A deviation from the symmetrical bell curve, or normal distribution, in a set of data is referred to as skewness. The curve is said to be skewed if it is displaced to the left or right. Skew lines are two lines in three-dimensional geometry that neither cross nor are parallel. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines. A distribution is said to be "skewed right" if the tail is to the right. A distribution is said to be "skewed left" if the tail is to the left. The histogram on top represents a right-skewed distribution.

Given,

Segments that skew to segment VW are:

UZ

TY

SX

ZY

XY

TU

ST

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There are different kinds of triangles. The options that could be used as part of the proof that B = C are;

≅ because of the Symmetric Property

≅ because of the definition of a midpoint

≅ because of the definition of an isosceles triangle

∠ ≅ ∠ because corresponding parts of congruent triangles are congruent.

Isosceles triangles is known to have at least two congruent sides and also at least two congruent angles.

The congruent sides is referred to as legs that create the vertex angle. The other two congruent angles are known to be the base angles.

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The fraction of the larger rectangle that is shaded is 4[tex]c^{-8}[/tex]

A rectangle is a two-dimensional shape that has four sides and four right angles. The opposite sides of a rectangle are parallel.

The area of a rectangle is the product of its width and its length. When multiplying numbers that have exponents, multiply the bases and add the exponents.

Area of a rectangle = length x width

Area of the larger rectangle = [tex]4c^{8}[/tex] x [tex]2c^{10}[/tex]

= (4 x 2)[tex]c^{10 + 8}[/tex]

8[tex]c^{18}[/tex]

Area of the smaller rectangle = 8c² x [tex]4c^{4}[/tex]

(8 x 4)[tex]c^{2 + 4}[/tex]

32[tex]c^{6}[/tex]

Fraction of the larger rectangle that is shaded = area of the smaller rectangle / area of the larger rectangle

32[tex]c^{6}[/tex] / 8[tex]c^{18}[/tex] = 4[tex]c^{-8}[/tex]

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The answers to all the subparts are shown:

(A) So, we know that: 1 liter = 10 decilitre

So, the consumption of the fuel = 60 - 34 = 26 litres.

(B) Cost of 60 liters of fuel if 1 liter is € 1.45:

(C) Liters of fuel he could buy from € 58:

Therefore, the answers to all the subparts are shown:

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The correct question is given below:
Giorgio fills up his car which is 60 liters. After a certain distance, 340 deciliters remained in the tank.

(A) How many liters did it consume?

(B) How much did you spend if 1-liter costs € 1.45?

(C) How many liters of petrol can you buy for € 58?

Answer:

(2i + 6) -4ix (3i - 5)

18 + 22i

What is cross-section slicing ?

As per the figure, cross-sectional slicing means the division of the three-dimension into half and they are divided into the 3D view thus forming a

rectangular prisms.

All the 3 dimension figures include the cone, rectangle, and triangle. The volume of space that the cross-section of the plane makes tells us about the figure.

A slice parallel to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 3cm x 4cm x 2cm.

A slice perpendicular to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 1.5cm x 4cm x 2cm.

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karl is baking a loaf of bread and needs 0.8kg of flour. he has 72g of flour. So he needs  728g of flour.

Simplification:

Karl has = 72g of flour

More flour needed for baking = 800 - 72 = 728 g

So, Karl needs 728g more flour for baking a loaf of bread.

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Using proportional relationships, it is found that it is $0.91 more expensive per pound to buy salmon at Store B.

In a proportional relationship, the output variable y is given by the multiplication of the constant of proportionality k and the input variable x as follows:

y = kx.

In this problem, in each store, the price of the salmon per pound is given by the constant of proportionality of the relation.

At Store B, the price is given as follows:

k = 21.36/2 = $10.68 per pound.

At Store A, the price is given as follows:

k = 97.70/10 = $9.77 per pound.

The difference in prices is given as follows:

10.68  - 9.77 = $0.91 per pound.

The graph for the prices at Store A is given by the image at the end of the answer.

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We will investigate the number of calories in ice cream and pie. We will define the variables as such:

From the given data a relationhsip between the number of calories in a pie ( x ) and the number of calories in an ice-cream scoop are given by the following statement:

" The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. "

We will go ahead and decrypt the above given statement and express it mathematically in terms of declared variables ( x and y ) as follows:

The next statement gives us the combined calories in both ice-cream scoop and a pie:

" The pie and ice cream together have 500 calories. "

We will go ahead and decrypt the above given statement and express it mathematically in terms of declared variables ( x and y ) as follows:

We have two equations ( derived ) and two variables ( x and y ):

We will solve the two equations ( Eq1 and Eq2 ) simultaneously using elimation method as follows:

We first multiplied the ( Eq1 ) by ( -1 ) then added the modified ( Eq1 ) to ( Eq2 ) whilst eliminating ( x ) and solved for the number of calories in an ice-cream scoop ( y ) i.e 130 calories.

Then we will back substitute the value of ( y ) into ( Eq2 ) and solve for ( x ):

Therefore, the number of calories in each confectionary is as such:

Answer: The slope is 9.

Step-by-step explanation:

(y2 - y1)/(x2 - x1)

(-10 - -1)/(2 - 3)

-9/-1

9

Answer:

A= πr²

where pi = 3

and r = 3

A = 3 x 3²

3 x 9

area = 27 ft²

On observing the given line graph, we found that the value of y when x = -1 is 3.

What is a line graph?

A line graph is frequently used to display data that varies over time. It can be seen using a series of points connected by straight lines. The x-axis and the y-axis are two of its axes. The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. It reflects the change in a quantity with regard to another quantity.

We are given a line graph which shows the relation between the x and y variables.

We are asked to find the value of y when x = -1.

Since it is a line graph, we can find the value just by looking into the graph as it is continuous.

So on observing the graph, x = -1 is the line between 0 and -2.

When x = -1, the corresponding y value is the point between 2 and 4 between the y-axis, which is 3.

Since each unit on the x and y axes have a value of 2, the line midway between a single unit has a value of 1.

Therefore from the line graph the value of y when x = -1 is 3.

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Answer:

the product of h(x) and g(x) = 2x²+13x+20

Step-by-step explanation:

to do the product of functions you have to multiply all the values of the function by themselves with parentheses . so g(x)×h(x)= (2x+5)(x+4)

because there are parentheses being used you need to foil and thus you will get

2x(x+4)+5(x+4)

simplify and get

2x²+8x+5x+20

continue to simplify and get

2x²+13x+20

this is your answer because it is already in standard quadratic form of ax²+bx+c.

The image of the function after the translation is g(x) = log(x + 1) + 4

From the graph, the given parameters are:

f(x) = log(x)

From the graph, we can see that:

This transformation is given as

g(x) = f(x + 1) + 4

Mathematically, this transformation can be represented as

(x, y) = (x + 1, y + 4)

When represented as a function, we have

g(x) = f(x + 1) + 4

Substitute the equation f(x) = log(x)

f(x + 1) = log(x + 1) + 4

So, we have the following equation

g(x) = log(x + 1) + 4

Hence, the equation of g(x) is g(x) = log(x + 1) + 4

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The consecutive even numbers which are as described in the task content are; 12 and 14.

It follows from the task content that the numbers which are as described are to be determined.

Let the consecutive even integers in discuss be; x and x+2.

Therefore, since the sum of their squares is; 340; we have;

x² + (x +2)² = 340

2x² + 4x + 4 = 340.

2x² + 4x -336 = 0.

Divide through by 2;

x² + 2x - 168 = 0

By solving quadratically, we have;

(x +14) (x -12) = 0

Therefore, x = -14 or x = 12.

And also, the second number, (x +2) is; -12 or 14.

Therefore, by choosing the positive pair, the required consecutive even integers are; 12 and 14.

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f(x) represents the total savings for x months. If the number of months is 3, then x = 3.

f(x) = 2x - 1
f(3) = 2(3) - 1
= 6 - 1
f(3) = 5

Answer:

3 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{3} *\sqrt{6}[/tex]

Multiply together

[tex]\sqrt{3*6}[/tex]

Rewriting

[tex]\sqrt{9 *2}[/tex]

[tex]\sqrt{9} \sqrt{2}[/tex]

3 [tex]\sqrt{2}[/tex]