what is the range of y=2x^(2)+12x-13?

The percentage of melon in Salma's and Luke's fruit salads will be roughly 57% and 58%, respectively. Luke's fruit salad will consequently taste more melon-like.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

According to our question-

Out of the 7 cups of fruit, Salma uses 4 cups of melons. 4/7 is around 57%.

Out of the 12 cups of fruit, Luke uses 7 cups of melons. Around 58 percent is 7/12.

Hence, The percentage of melon in Salma's and Luke's fruit salads will be roughly 57% and 58%, respectively. Luke's fruit salad will consequently taste more melon-like.

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Answer: 6

Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)

Answer:

x² +y² = 73

Step-by-step explanation:

x - y = 5    ; xy = 24

      [tex]\sf \boxed{\bf x^2 + y^2 = (x -y)^2 + 2xy}[/tex]

                     = 5² + 2*24

                     = 25 + 48

                     = 73

Reason:    

x² + y² = (x - y)² + 2xy

          = x² + y² - 2xy + 2xy   {(x - y)² = x² +y² - 2xy}

          = x² + y²

The required expression would be 25/4 for the given expression (2/5)⁻².

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

(2/5)⁻²

We have to rewrite [tex](2/5)^{-2}[/tex] without an exponent.

As per the question, we have

(2/5)⁻²

This can be also rewritten as:

1/(2/5)²

1/[(2/5)×(2/5)]

1/(4/25)

Reciprocal the term in the denominator, and we get

25/4

Thus, the required expression would be 25/4.

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By trigonometry x is equal to 2 radian. An area of mathematics that researches connections between triangle side lengths and angles.

The Greek mathematician Hipparchus created the first chord chart sometime around 140 BC. Hipparchus is said to have authored twelve books of chord tables, yet none of these tables have survived. Thus, Hipparchus is credited as the discovery of trigonometry. A subfield of mathematics known as trigonometry studies how angles and length ratios relate to one another. Applications of geometry to astronomical research led to the field's emergence in the Hellenistic civilization during the third century BC.

tanx = 29/14

tanx = 0.036

x= tan¯1(0.036)

x = 2

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Approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given exponential function is f(x)=500(0.67)ˣ.

Part A: To complete table

Put x=0

f(0)=500(0.67)⁰

f(0)=500

Put x=1

f(1)=500(0.67)¹

f(1)=335

Put x=2

f(2)=500(0.67)²

f(2)=224.45

Put x=3

f(3)=500(0.67)³

f(3)=150.3815

Part B:

Percentage of the bugs are eaten

= 335/500 ×100

= 335/5

= 67%

Part C:

Percentage of the bugs are remain 33%

Part D: Number of days after there will be fewer than 40 bugs remaining at the farm.

40=500(0.67)ˣ

(0.67)ˣ =40/500

(0.67)ˣ =0.08

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form: ln (0.08)/ln(0.67)

x=6.306

x≈6

Therefore, approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

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For monthly use of phone calls more than 170 minutes, plan a will cost more than plan b.

In plan a, the customer pays 7 cents per minute of use with no monthly fee.

So, the cost of x minutes call is given by, y = 0.07x ............. (1)

Again, in plan b, there is a charge of 5 cents per minute of use and in addition, the customer pays a monthly fee of 3.40.

So, the cost for x minutes call is given by, y = 3.4 + 0.05x  ........... (2)

Now, we have to find the value of x for which plan a costs plan b will be

0.07x > 3.4 + 0.05x

⇒ 0.02x > 3.4

⇒ x > 170 minutes.

So, for monthly use of phone calls more than 170 minutes, plan a will cost more than plan b.

The complete question is,|
A phone company offers two monthly charge plans. In plan a, there is no monthly fee, but the customer pays 7 cents per minute of use. In plan b, the customer pays a monthly fee of 3.40 and then an additional 5 cents per minute of use. For what amounts of monthly phone use will plan a cost more than plan b

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A. Another method for finding the slope of the linear function is by using the formula, slope = (y2-y1)/(x2-x1).

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

The slope of a linear function that can be determined using the formula:

Slope = (y2-y1)/(x2-x1)

Where (x1, y1) and (x2, y2) are two points on the line

A. Another method for finding the slope of the linear function is by using the formula above.

x1 = 4, y1 = 22 and x2 = 12 , y2 = 66

Slope = (66-22)/(12-4) = 44/8 = 11/2

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

Example:

x y

2 5

3 9

Sarah's method:

slope = 5/2 = 2.5 or slope = 9/3 = 3.

This will not work because the values of y/x are not the same.

Using the formula:

x1 = 2, y1 = 5 and x2 = 3 , y2 = 9

Slope = (9-5)/(3-2) = 4/1 = 4

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Answer: ok what do you need help with

Step-by-step explanation:

i need the material to help you

Answer:

Step-by-step explanation:

i got you step 1 step 2 step 3 step 4 answer is c

The number of boys who should be at camp with 20 counselors will be 250 boys.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At Laura's summer camp, there were 200 boys and 16 counselors. Then the rate is given as,

Rate = 200 / 16

Rate = 12.5 boys per counselor

At this rate, the number of boys should be at camp with 20 counselors will be given as,

⇒ 12.5 x 20

⇒ 250 boys

The number of boys is 250 boys.

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The linear equation 5x - y = -5 have x - intercept is at x = -1 and y - intercept is at y = 5.

The x-intercept of a linear equation is the point at which the line crosses the x-axis. It can be found by setting y equal to 0 and solving for x. The y-intercept of a linear equation is the point at which the line crosses the y-axis. It can be found by setting x equal to 0 and solving for y.

x - intercept is when y = 0 and;

5x - 0 = -5

5x = -5

x = -5/5 {divide through by 5}

x = -1

y - intercept is when x = 0 and;

5(0) - y = -5

-y = -5

y = -5/-1 {divide through by -1}

y = 5

Therefore, the linear equation 5x - y = -5 have x - intercept is at x = -1 and y - intercept is at y = 5.

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The linear regression model is the model that you would have to use when analyzing the data in a scatter plot.

A scatterplot is a graphical representation of two sets of numerical data, where the values of one set are plotted on the x-axis and the values of the other set are plotted on the y-axis.

Each point on the plot represents a pair of (x, y) values. Scatterplots are often used to visualize the relationship between two variables and to identify any patterns or trends in the data.

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The value of x in the quadrilateral is 23.

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of external angles of any polygon, irrespective of the number of sides is 360∘.

Therefore, the value of x of the quadrilateral can be found as follows:

6x + x + 16 + 3x - 1 + 5x = 360

combine like terms

6x + x + 3x + 5x + 16 - 1 = 360

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

Therefore, the value of x is 23.

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A substitution is a mathematical strategy where alphabets in a formula are replaced by numbers.

We know that the substitution is a method or strategy for solving systems of equations.

In this method we solve for one variable and using that solution to find the other variable.

When letters (or alphabets) in a formula are replaced by numbers, it is known as substitution.

As we know the formula is a rule or principle written with mathematical symbols.

A substitution in formula is nothing but we replace the variables in the formula by its value (numerical value)

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The graph is shown below.

===================================================

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

-----------------------------

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

-----------------------------

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

And so on.

The range is [tex]\text{y} \ge -2.5[/tex] since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

The population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

What is rate of decrease in population?

The rate of decrease calculates a decline as a percentage of the initial sum. To determine how quickly a population is dwindling or how much money is being lost on an investment, you may want to know the rate of decrease . Knowing the initial and final amounts is necessary to compute the rate of decrease.

Here the initial population of the town is [tex]P_0[/tex] = 53800.

Population shrink rate R = 2.5%

Number of years = 3.

Now using decrease in population formula then,

P = [tex]P_0(1-\frac{R}{100})^n[/tex]

=> P = 53800 [tex](1-\frac{2.5}{100})^3[/tex]

=> P = 53800(0.975×0.975×0.975)

=> P = 49865.

Hence the population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

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The length of CE is 22. The measurement of ∠EAD = 34°.

What is a diagonal?

The diagonal is the line that runs through the centre of the figure from one corner of the square or rectangle to the opposite corner. Any square with two diagonals that are the same length.

Given that AE = 2x+2 and BD=3x+14, ∠BEC=112°.

The diagonals of a rectangle equal and bisect each other.

Thus BD = AC.....(i)

The diagonal AC bisect at E.

AE = EC = 1/2 AC

Rewrite equation:

BD = 2AE

3x+14 = 2(2x+2)

3x+14 = 4x+4

4x-3x = 14-4

x = 10

Putting x=10 in AE = EC :

EC = 2(10)+2

EC = 22

Vertical angle theorem: The Vertical opposite angles are equal.

∠AED = ∠BEC =112° (vertical opposite angles)

Consider △ADE:

Since AE = ED, thus ∠EAD = ∠EDC.

The sum all interior angle of a traingle is 180°

∠EAD + ∠EDC + ∠AED = 180°

2∠EAD + ∠AED = 180°

2∠EAD + 112° = 180°

2∠EAD  = 180° - 112°

2∠EAD  = 68°

∠EAD  = 34°

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The perimeter of the square is 16√5 inches.

A square is a quadrilateral with 4 sides equal to each other. The opposite sides of a square is parallel to each other.

The perimeter of a square is the sum of the whole sides of the square.

Let's find the length of the square using the length of the diagonal.

Using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

x² + x² = (4√10)²

2x² = 160

x² = 160 / 2

x = √80

Hence,

perimeter of a square = 4l

where

perimeter of the square = 4 × √80

perimeter of the square = 4 × 4√5

perimeter of the square = 16√5 inches

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The length of each leg from the given triangle is  13 [tex]\sqrt{2}[/tex], 13 [tex]\sqrt{2}[/tex]  respectively.

What is triangle ?

triangle can be defined as figure which contains three sides and three angles and the sum of three angles could be 180 degrees.

Given triangle is right angled triangle,

with given hypothenuse 26.

let other two sides be x and y.

so,

tan45 = x/y

1= x/y

x = y.

from the figure we can say that ,

[tex]\sqrt{ x^{2} + y^{2} }[/tex] =  26

[tex]\sqrt{x^{2} +x^{2}}[/tex]  = 26

2[tex]x^{2}[/tex] = 26*26

[tex]x^{2}[/tex] = 13*13*2

x = 13 [tex]\sqrt{2}[/tex]

Hence the other two sides be 13 [tex]\sqrt{2}[/tex], 13 [tex]\sqrt{2}[/tex] respectively .

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The 7th term of the sequence is 48.

Sequence is an ordered arrangement of elements. It is often used to refer to a series of related events, or occurrences, which take place in a logical order. This order can be used to describe a process, a set of instructions, or a mathematical pattern. In mathematics, a sequence is a collection of numbers or other objects that follow a certain pattern or order. Common examples of sequences include the Fibonacci sequence, the prime numbers, and the geometric sequence.

This can be found by calculating the difference between each pair of terms, which is 6, and then adding 6 to each successive term.

Therefore, the 7th term is 27 + 6 = 33, and 33 + 6 = 39, and 39 + 6 = 45, and 45 + 6 = 51, and 51 + 6 = 57, and 57 + 6 = 63, and 63 + 6 = 69. Rounded to the nearest integer, the 7th term is 48.

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The college graduate's new net worth is $12,057. The Option A is correct.

The net worth of an entity (i.e company or person) is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts (liability) of the person.

The assets of the student are given as follows:

Signing bonus: $10,000.

Furniture: $3,865.

Savings Account Balance: $571.

Car Value: $19,250.

Electronic: $2,160.

Total = $35,846

The liabilities of the student are given as follows:

Car Loan: $12,500.

Credit Card Balances: $2,468.

Student Loans: $33,821 - $25,000 = $8821.

Total = $23,789

The student's net worth is calculated as follows:

= $35,846 - $23,789

= $12,057.

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"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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Answer:

[tex]t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} [/tex]

A mirror is a surface that virtually always reflects the incident light that strikes it. Both flat and curved surfaces are possible for mirrors. The terms "plane mirror" and "spherical mirror" are used to describe mirrors with flat surfaces and curved surfaces, respectively.

An image is either produced in real time or virtually in a mirror, which is a reflecting surface that reflects light. An object's reflection may be seen in a mirror when it is positioned in front of one. The incident rays are coming from the item, and the reflected rays are what create the image. The classification of the pictures as real or virtual depends on where the light beams cross. Real images happen when light rays truly cross, but virtual images happen when rays of light from a point appear to diverge.

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The meaning of the term 2² is number 2 is squared:

2*2 = 4.

Examples:

1 * 1 = 1.

One is a square number therefore.

2 * 2 = 4.

Four is the following square number, so. You can probably guess how to determine the following square number.

Let's multiply 3 by itself:.

3 * 3 = 9.

and so on.

Thus, for the stated question:

The number 2 is squared.

= 2*2 = 4.

Therefore, the result of the expression comes as 4.

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The coordinates of the triangle after dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Assume that the dilation is about the origin.

When a point (x, y) is dilated with k, then new coordinates are (kx, ky).

A(4, 6) after dilation become (4 × 12, 6 × 12) = A'(48, 72)

B(4, 12) after dilation become (4 × 12, 12 × 12) = B'(48, 144)

C(8, 6) after dilation become (8 × 12, 6 × 12) = C'(96, 72)

Hence the coordinates after undergone dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

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To find the distance between two points in a plane, you can use the distance formula. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between the points.

For example, if you have two points (3, 4) and (7, 10), you can use the distance formula to find the distance between them:

d = √((7 - 3)^2 + (10 - 4)^2)

d = √((4)^2 + (6)^2)

d = √(16 + 36)

d = √52

d = 2√13

To find the midpoint of two points, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if you have two points (3, 4) and (7, 10), you can use the midpoint formula to find their midpoint of them:

(x,y) = ((3 + 7) / 2, (4 + 10) / 2)

(x,y) = (5, 7)

The midpoint of points (3,4) and (7,10) is (5,7).

It's worth noting that both distance and midpoint formulas can be adapted for three-dimensional points, where the distance formula would be:

d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

and the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Answer:

The answer would be g(x) = -4|x| - 3

Step-by-step explanation:

With transformations involving translating an absolute value function down, the translation would be outside the absolute value and is negative (since we're moving the entire graph down). As the transformation occurs after the graph is already reflected, the translation will not be affected by the reflection.

The correct option is B) definition of a right angle.

A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other words, it can be said that any closed figure with three sides and the sum of all the three internal angles is equal to 180°.

Given here:

Angle B is a right angle and a right angle is always equal to 90

Hence, The correct option is B) definition of a right angle.

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Answer:

b! hope this helps

Step-by-step explanation: