Which of the following is a solution of the equation x+ 2y 7?a) x=3 y=5b) x=3 y=-5c) x=3,y=2d) x=0.y=7

An exponential function can be equal to 1, but it would have to be a special case.

To determine this:

An exponential function has the form f(x) = ab^x, where a and b are constants. For the function to be equal to 1, the output value of the function must be 1 for all values of x. Therefore, we must have:

[tex]ab^x = 1[/tex]

In order for this equation to be true for all values of x, a and b must be chosen such that:

ab = 1

This means that a and b must be reciprocals of each other. For example, if a = 2, then b = 1/2. In this case, the function [tex]f(x) = 2(1/2)^x[/tex] would be equal to 1 for all values of x.

Another example would be if a = 1 and b = 1. In this case, the function [tex]f(x) = 1(1)^x[/tex] would be equal to 1 for all values of x.

It's important to note that while an exponential function can be equal to 1, it would only be in cases where a and b are reciprocals of each other and not with any other values.

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The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The exact volume of the solid is 963 2/3π cubic cm

From the question, we have the following parameters that can be used in our computation:

Shapes = Half-sphere and cylinder

A half-sphere is called a hemisphere, and the volume is calculated as

V₁ = (2/3)πr³

From the given figure (see attachment), we have

r = 14 cm/2

r = 7 cm

Substitute the known values in the above equation, so, we have the following representation

V₁ = (2/3)π * 7³

V₁ = 686/3π

Next, we have the volume of the cylinder to be

V₂ = πr²h

Where

r = 14 cm/2

r = 7 cm

And

h = 22 - 14/2 = 15

So, we have

V₂ = πr²h

Substitute the known values in the above equation, so, we have the following representation

V₂ = π * 7² * 15

V₂ = 735π

The volume of the solid is then calculated as

V = V₁ + V₂

So, we have

V = 686/3π + 735π

Evaluate the sum

V =  963 2/3π

Hence, the volume is 963 2/3π cubic cm

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The triangle Illustrated shows that the correct option is 4. No, not similar

According to the SAS criterion for triangle congruence, two triangles are considered congruent if they have two pairs of congruent sides and if the included angle (the angle between the congruent sides) in one triangle coincides with the included angle in the other.

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the other triangle.

In this case, the triangles are different. The correct option is 4.

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The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

A variable in Algebra is an alphabet used to represent an unknown number. It denotes the value. A variable is a quantity that can be altered in response to a mathematical problem. Many algebraic expressions and equations use the generic letters x, y, and z. A variable is, in other words, a symbol for a number whose value is unknown.

Given:

Each bracelet contains 8 grammes of gold, and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces.

According to the question,

Let x denote the number of bracelets and y the number of necklaces made by the jeweller.

The jeweller made a total of 13 bracelets, This means that

⇒ x + y = 13

It is assumed that each bracelet contains 8 grammes of gold and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces. That is to say,

⇒ 8x + 24y = 168

Thus, The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

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The expression that best represents the phrase below.

"the number of fish divided evenly among 5 aquariums" is

The expression that suits the phrase is derived by understanding the meaning of the phrase

The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.

Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence  we have

= the number of fishes ÷ divided by the number of aquarium

= f ÷ 5

hence option E is the correct one

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Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed below.

A statistically list is a collection of numbers that shows the outcomes of an analysis with numerous inputs. Data is arranged in columns and rows and consists of both descriptions and numbers. The table and also the patter of 10 are easy to recall. The numbers are in the following order: 7, 14, 21, 28,35, 42, 49, 56, 63, and 70. A method for illustrating the connections between different data pieces is value mapping. In any science subject, the values table might be helpful.

Here,

To relocate a formula, choose a cell that it is in.

(Or, click Ctrl + X.) Click Home > Cut. Select Transfer (or ctrl + V)

after choosing the cell in which you desire the formula to appear.

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed above.

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Answer:

this is my best awnser

Step-by-step explanation:

It represents a linear function and there will be 216 ants after 1 year

If the equation [tex]ax^2+2hxy+by^2+2gx+2fy+c=0[/tex]  describes a pair of straight lines, then the equations m1+m2=-2h/b and m1m2=a/b, where m1 and m2 are the slopes of the straight lines, apply.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

Determine the coordinates of two points along the line that you choose.

Find the difference between these two points' y-coordinates (rise).

Find the difference between these two points' x-coordinates (run).

Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

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Answer:

290 Miles

Step-by-step explanation:

Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.

A planar polygon is convex if it contains all of the line segments connecting any two of its points. Thus, a regular pentagon is convex (left picture), but an indented pentagon is not (right figure).

A pentagon is any five-sided polygon or 5-gon in geometry. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting. A pentagram is a self-intersecting regular pentagon. A pentagon is a five-sided polygon with five angles. The term "pentagon" is made up of two terms, Penta and Gonia, both of which signify five angles. All of the sides of a pentagon meet end to end to form a shape.

Here,

If a planar polygon has all of the line segments connecting any two of its points, it is convex. A normal pentagon, for example, is convex (left picture), but an indented pentagon is not (right figure).

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The expression for the total miles Mala walks her dog each day is : 3/4 x 3.

Manifold is the fundamental definition of multiplicity.

For the stated question:

Total distance of 1 walk = 3/4 miles.

Total frequency = 3.

So,

Total distance = 3/4 x 3

Thus, the expression for the total miles Mala walks her dog each day is : 3/4 x 3 .

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The complete question is-

Mala walks her dog 3 times a day. Each walk 3/4 is mile. What expression tells how many miles Mala walks her dog each day?

The length of the other leg of the right triangle is √70. The result is obtained by using the concept of the Pythagoras theorem.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the squares of the other length sides. It can be expressed as

a² + b² = c²

Where

Base altitude is also called as legs of the right triangle.

A right triangle has a leg length of √11 and hypotenuse of 9. Find the length of the other leg!

Let's say

The length of other leg is b, the shorter side of hypotenuse.

By using the Pythagoras theorem, we get b.

a² + b² = c²

(√11)² + b² = 9²

11 + b² = 81

b² = 81 - 11

b² = 70

b = √70

Hence, the length of the other leg of the right triangle is √70.

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Answer:

n = 8.5

Step-by-step explanation:

[tex]\frac{10}{n}[/tex] = [tex]\frac{2}{1.7}[/tex] ( cross- multiply )

2n = 10 × 1.7 = 17 ( divide both sides by 2 )

n = 8.5

The least cost of making the chain would be = $114

Welding is defined as the process that can be used to join some hard materials such as chains which can be used for making of pieces of jewelry.

John's chain contain the following = 6 small chains

The number of links for each chain = 4 links

This means that for the totals chain there are 6× 4 = 24 links which is also the total number of links he wants to make.

The cost of 1 link = $1.25

The cost of welding = $3.50

The least amount of money that can be used can be calculated below as;

= (1.25 + 3.50)× 24

= ($4.75) × 24

= $114

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3x^{2}+5 is the area of rectangle .

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                 The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.

Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.

The answer is 3x^{2}+5

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To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints.

To find the coordinates of a triangle with midpoints, you first need to calculate the midpoints of each side of the triangle. To do this, take the two endpoints of the side and average their coordinates. For example, if the two endpoints are (x1, y1) and (x2, y2), then the midpoint would be ((x1+x2)/2, (y1+y2)/2). Once you have all the midpoints, you can use the midpoint formula to calculate the coordinates of the triangle. The midpoint formula states that the coordinates of the triangle can be found by taking the average of the midpoints of the three sides.

To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints. Then use the midpoint formula to take the average of the three midpoints to find the triangle's coordinates

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The required equation is 12.5n+7

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from basics such as the addition and subtraction of algebraic expressions.

Given: Let the fixed convenience fee be t and price per ticket be x then we have the following equations:

2x+t=32

3x+t=44.50

solving these two equations we get x=12.5 and t=7

Hence, the required equation is y=12.5n+7 where n is the number of tickets.

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At the end of the first year, Shota will have earned amount  \$400.00$400.00dollar sign, 400.00 in interest.

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).

At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.

At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.

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Graph of x=2+5t for -2 ≤ t ≤ 7 is attached below.

A graph is a kind of a chart where data are plotted as variables across the coordinate.

Given equation,

x=2+5t for -2 ≤ t ≤ 7

x on the vertical axis and t on the horizontal axis.

the graph of above equation is straight line.

Hence, following graph represents x=2+5t for -2 ≤ t ≤ 7.

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The Fundamental Theorem of Algebra asserts that this 2 n d degree polynomial must have precisely two roots.

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.

Here,

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots.

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According to the information, it can be inferred that of the next 99 packets of seeds sold, 27 will be pumpkin seeds.

To calculate how many packages of pumpkin will be sold in the next 99 sales we must carry out the following procedure: A rule of three.

According to the above, if of 77 packages we sold 21 of pumpkin, we can infer that 27 will be the packages of pumpkin seeds that we will sell in the next 99 sales.

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Answer: 3x, -2, 4y, -7, and x

Hope this helps :)

Step-by-step explanation:

Terms are all of the variables and/or numbers in an equation.

Answer:

B/6

Step-by-step explanation:

is this what you mean

B= ammount of candie

1/6= the piles she divided

so

[tex]\frac{b}{6}[/tex]

Answer:

a = 27

perimeter = 3a

= 3 * 27

= 81

Answer:

Infinity  solutions

Step-by-step explanation there are many solutions

The 3 different types of solutions in a system of equations are a unique solution, no solution and many solutions.

There are 3 types of systems of linear equations which are as follows:

Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.

Example:[tex]\left \{ {{-6x + 4y = 2} \atop {3x - 2y = -1 }} \right.[/tex]

The system has infinitely many solutions.

Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.

Example:[tex]\left \{ {{x - 3y = 7} \atop {3x - 3y = 15}} \right.[/tex]

The unique solution to the system is (4, -1)

Inconsistent: The system has no solution. The graphs of no-solution equations are parallel lines.

Example:[tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]

The system has no solution.

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The required length of the tangent PQ is given as 16.73 units.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,

PQ² = QS·RS
PQ = √[7 × 40]
PQ = 16.73

Thus, the required length of the tangent PQ is given as 16.73 units.

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