According to the statements provided, name the lines that are parallel to each other. If there is notenough information to conclude parallel, write "not enough info" and explain why.

To find if a relation is a function, identify if there is more that one value of y for the same value of x (if there are more than one value for one value of x is not a function)

Ordered pairs (x,y)

1.

x y

1 -2

-2 0

-1 2

1 3

2.

x y

1 1

2 2

3 5

4 10

5 15

Given:

ABCD is a parallelogram.

To prove:

Proof:

Hence proved.

We are given the following information.

We also know that the general equation of a line is given by

Where m is the slope of the line and b is the point at which it crosses the y axis.

Since the line given goes through (0,0), b=0. Now we just need to find m.

This can be done via the formula

In this case

And so, the equation of the line given is

Now we simply need to see which of the options fit this equation. We can do this easily, because x and y are equal except for their sign.

As such, the point of the terminal side of 135° is (-1,1).

Answer: 45+x = 45x

Step-by-step explanation:

Answer: 361000

Step-by-step explanation:

13+v+2v=v+3+4

Combine like terms

13+3v=v+7

Move letters to the left

13+3v-v =7

13+2v=7

Subtract constant

2v=7-13

2v=-6

divide both side by 2

2v/2 = -6/2

v = -3

The answer will be [tex]4^{30}[/tex]  different ways can the question be answered using permutation.

What is permutation?

A permutation is both an ordered combination and an ordered arrangement of results. For instance, 3 people are to sit in each of the 5 chairs. The first person can be seated in five different ways, the second person in four different ways, and the third person in three different ways. Accordingly, generalising this, we obtain n alternatives to fill the first chair, n-1 options to fill the second, and n-2 options to fill the third chair. As a result, nPr = n! / (n - r)! can be used to represent how many different permutations (arrangements) there are when there are r individuals and n chairs.

Each question has four choices. So, the total number of ways in which the questions can be attempted is [tex]4^{30}[/tex]

Hence the number of ways the question be answered is  [tex]4^{30}[/tex].

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Answer:

There are 55 grams of sugar in a 20-ounce bottle of soda.

Step-by-step explanation:

So if your looking for a 68 ounce bottle of soda we know there would be about 165 grams of sugar just in 60 ounces. as then you would find the amount of 8 grams of sugar.

The expression is given to be:

Recall the rule of logarithms:

Thus the expression becomes:

Recall the rule:

Hence, we have the expression to be:

The answer is 86.

Answer:

a) 18 and b)1:2

Step-by-step explanation:

for a i divided 24 by 4 (24:4) and got 6 the i multiplied 3 by 6 and got 18. also you could do a proportion and fruit scones would be x so you have to calculate x. if you don't know how to do proportions you can ask me i can explain.

for b since i got the count was 18:24. i took away those six from 18 and got with the ratio 12:24. i divided both sides by twelve and got 1:2

Answer:

a) 18 fruit scones

b) 6:8

Step-by-step explanation:

a) The ratio is 3:4 given that there 3 fruit scones to 4 cheese scones so if there are 24 cheese scones, 24/4=6, 3*6=18 so there 18 fruit scones.

b)  The ratio is 3:4 given that there 3 fruit scones to 4 cheese scones so if there are 6 fruit scones, 6/3=2, 2*4=8 so there are 8 cheese scones. The new ratio would be 6:8

y = 2x - 3

Put x = 0 and solve

y = 2(0) - 3

y = 3

We have a point (0, 3)

Put y = 0 and solve for x

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

The second point is (1.5, 0)

Below is the graph

The equation represent the given situation is y=3x+10.

What is equation?

   A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take the values of time and amount as x and y. Then take any two points ,

[tex](x_1,y_1)=(3,19)\\(x_2,y_2)=(6,28)[/tex]

Now using slope formula,

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

=> slope m = 9/3 = 3

Now using equation formula ,

=> [tex]y-y_1=m(x-x_1)[/tex]

=> y-19=3(x-3)

=>y-19=3x-9

=>y=3x-9+19

=>y=3x+10

Hence the correct option is A)y=3x+10.

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If linear function can be modeled using the equation 2x-y=2. Then x=1 is the Zero of this function

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

2x-y=2

We need to write this in slope intercept form

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

y=2x-2

m=2 and y intercept is -2

Now take the values of x and y

x       0       1         2         3

y       -2      0         2         4

Hence the zero of this function is x=1

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The congruent statement for the triangle is ΔVXW ≅ ΔRPQ

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, for the two triangles the to be congruent the corresponding sides are and the angles are equals also.

Hence,

∠V ≅ ∠R

∠W ≅ ∠Q

∠X ≅ ∠P

Therefore, ΔVXW ≅ ΔRPQ

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The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.

A quadratic function has the generic form f(x)=ax²+bx+c. A parabola, a kind of two-dimensional curve, is the graph of a quadratic function. A polynomial function of degree two in one or more variables is known in algebra as a quadratic function, quadratic polynomial, polynomial of degree 2, or simply a quadratic. The phrase "quadratic" in mathematics refers to something that has to do with squares, the squaring operation, terms of the second degree, or equations or formulas that contain such terms. Latin's word for square is quadratus.

Function:

2x² + 4x + 7 = 0

ax² + bx + c = 0

x = [tex]\frac{-b +-\sqrt{}b^{2}- 4ac }{2a}[/tex]

a = 2

b = 4

c = 7

Using quadratic function,

x = [tex]\frac{-4\sqrt{} 4^{2} -4(2)(7)}{2(2)}[/tex]

x = [tex]\frac{-4+-\sqrt{-40} }{4}[/tex]

So,

i = √-1

x = [tex]\frac{-4+-2i\sqrt{10} }{4}[/tex]

Simplifying,

x = -1 +-√10/2

Roots are:

x = -1 + i√10/2

x = -1 - i√10/2

The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.

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The number in the word problem is 2

let the number be x

from the question it is deduced that

If a number is tripled and then subtracted from 15 = 15 - 3x

5 more than twice the number = 2x + 5

equating both sides

15 - 3x = 2x + 5

collecting like terms

15 - 5 = 2x + 3x

10 = 5x

x = 2

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To solve this problem, multiply Donna's earnings per hour by the number of hours of work. This is $10.50 times 15.75.

She makes $165.38 for 15.75 hours of work.

The indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

Let Ln denote the left-endpoint sum using n sub intervals.

We are given that

[tex]f(x) = \frac{1}{x-1}[/tex]  [3,4]

We have to find L4

It means n = 4

x = [tex]\frac{b-a}{n} = \frac{4-3}{4} = \frac{1}{4}[/tex] = 0.25

Now, intervals are

[3, 3.25], [3.25, 3.50], [3.5, 3.75], [3.75, 4]

Now,

[tex]L_{4} = f(x_{0}) \triangle x+f(x_{1})\triangle x +f(x_{2})\triangle x+f(x_{3})\triangle x\\ \\ L_{4} = \frac{1}{3-1} (0.25)+\frac{1}{3.25-1}(0.25)+\frac{1}{3.5-1}(0.25)+\frac{1}{3.75-1}(0.25)\\ \\ L_{4} = 0.7595[/tex]

Hence the answer is the indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

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Answer:11n^3/9-2n^2/3+44n/3-8Step-by-step explanation:

Step-by-step explanation:

The coordinates of R are (7, -3).

Therefore,

R are (7, -3)

P are (4,-3)

Q are (4,4)

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The ordered pair (0, 3) does not lie onto any of the four quadrants.

We know in the cartesian plane there are four quadrants.

In the first quadrant (x, y).

In the second quadrant (- x, y).

In the third quadrant (- x, - y).

In the fourth quadrant (x, - y).

Given are some ordered pairs. We know when x = 0 the point lies onto the x-axis and when y = 0 the point lies onto the x-axis.

Out of the given ordered pairs (0, 3) does not belong to any quadrant as it lies onto the y-axis only at 3.

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9=4/t

To solve for t

multiply both-side of the equation by t

That is;

9t = 4

divide both-side of the equation by 9

That is;

Answer: Width = 5.7 feet, Length = 10.5 feet

Step-by-step explanation:

Let the width be w. Then, the length is 2w-0.9.

[tex]w(2w-0.9)=59.85\\\\2w^2 -0.9w-59.85=0\\\\w =\frac{-(-0.9) \pm \sqrt{(-0.9)^2 -4(2)(-59.85)}}{2(2)}\\\\w =5.7\\\\\implies 2w-0.9=10.5[/tex]

Answer:

x = 0 x = 1/3

For the given parallelogram, the diagonals AC and BD intersect at point E. That means;

Substitute for the given values and we'll have;

Divide both sides by -3 and you'll have;

Note that line segment BD is made up of;

Therefore, the answer is option B

1/6 (-3/7)

Answer:

-1 /14

He can buy 5 candy at most with this inequality 2c-3<9 as the inequality will result in c<6 as the definition of inequality says, "In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another".

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another. The equation-like form of the expression 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3. The greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols. Take the same amount away from both sides. Add the same positive number to both sides. Subtract the same positive number from both sides. Reverse the sign and multiply both sides by the same negative number.

Here,

2c-3<9

add 3 both side,

2c-3+3<9+3

2c<12

divide both side by 2,

c<6

According to the definition of inequality, "In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another," he can only purchase a maximum of 5 candies with the inequality 2c-3<9.

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The amount of string that can be stretched by 3 kg weight is 5/ 4× 3

= 15 / 4 = 3.75 cm

Given ; The string is attached to a weigh whose weight is 8 kg

the length of the string which is being stretched is 10 cm

The amount of string that can be stretched by 3 kg weight can be calculated by unitary method

According to the unitary method ;

the string when attached to a 1 kg weight the length will be = 10 / 8 = 5 /4

Thus the amount of string that can be stretched by 3 kg weight is 5/ 4× 3

= 15 / 4 = 3.75 cm

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Answer:

201.06 square centimeters.

Explanation:

The formula for finding the area of a circle is:

Given that the diameter = 16 cm

Next, substitute r=8cm into the formula for area.

The area of the circle is 201.06 square centimeters.

The demand equation is given to be:

where p is the price and x is the number of units sold.

If the price per unit is $14.75, the number of units will be calculated as follows:

Subtracting 32 from both sides, we have:

Multiply both sides by -1:

Square both sides:

Subtract 1 from both sides:

Divide both sides by 0.0001:

The number of units sold will be 2,965,625 units.