what number can equal 2x² -50=

Answers

Answer 1

The number that can be equal to 2x² -50 =  2(x + 5)(x - 5).

What is defined as the quadratic equation?A quadratic equation has a single factor of degree two. It has the general form ax² + bx + c = 0,, at which x is the variable, a, b, and c are constants, and a = 0.This same standard form of a quadratic equation is given to us in the question as - ax² + bx + c = 0,When we compare the statement in the question to the definition discussed above, we can conclude that the given statement is correct. The standard form of the a quadratic equation is ax² + bx + c = 0,, where a, b, and c are constant real numbers. The constant 'a' cannot be zero as it will indeed reduce the degree of the equation to one.

For the given equation;

= 2x² -50

Take 2 common;

= 2(x² - 25)

This could be written as;

= 2(x² - 5²)

Now use per the property of (a² - b²)  = (a + b)(a - b).

= 2(x + 5)(x - 5)

Thus, the given expression 2x² -50 can be represented as 2(x + 5)(x - 5).

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Related Questions

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 19 ​minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 21 minutes?

Answers

The distance is  mathematically given as

D=1066.66667

What is the time function?

The TIME function is included as part of Excel's Date and Time features. With the assistance of TIME, we are able to create a time by employing various components for the hours, minutes, and seconds.

While conducting financial analysis, it's possible that we'll need to date a report. Under these conditions, the TIME function may be used to convert a text string into a format that presents the time as a decimal representation of the seconds, minutes, and hours. Additionally, the function's capabilities include the ability to merge several values into a single time value.

formula= TIME (hour, minute, second)

distance = rate X time

D = RT

T = D/R

20 feet per second = 1200 feet per minute

16 feet per second = 960 feet per minute

(D/R) + 19 + (D/R) = 21

(D/R) + 19 + (D/R) = 21

(D/1200) + 19 + (D/960) = 21,

This is the equation we can use to find the distance from the flowerbed to the​ hive.

(D/1200) + (D/960) = 2

(D(1200)(960))/1200 + (D(1200)(960))/960 = 2(1200)960

960D + 1200D = 5(1200)960

2,160D = 2304000

D=1066.66667

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Round your answer to the nearest hundredth B C 7 A 65°

Answers

The value of BC the nearest hundredth is 15.01 .

Trigonometric Ratios area unit outlined because the values of all the pure mathematics functions supported the worth of the quantitative relation of sides in an exceedingly trilateral. The ratios of sides of a trilateral with relation to any of its acute angles area unit referred to as the pure mathematics ratios of that exact angle.The 3 sides of the correct triangle are:Hypotenuse (the longest side)Perpendicular (opposite aspect to the angle)Base (Adjacent aspect to the angle)

From the image , we are able to see that CA = seven and angle A = 65°

Using ,Trigonometric Ratios , we get

Tan A = Perpendicular / Base

Tan 65° = BC / CA

2.144 =BC / 7

2.144 ×7 = BC

15.011 = BC

On rounding off to the closest hundredth , we have a tendency to get BC = 15.01

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2+2 (free easy answer)

Answers

Answer:

5-1, known colloquially as four, 4, or 1+3.

Step-by-step explanation:

2+2=4, the same as 5-1 or as 3+1

A water tank holds 18,000. How long will it take for the water level to reach 6000 gallons if the water used at an average rate of 450 gallons per day?

Answers

Answer:

You start with 18.000 gallons and want to know when you reach 6.000 gallons, with a daily use of 450 gallons. This means you need to know how many days it take to use 18.000 - 6.000 = 12.000 gallons. This can simply be calculated with 12.000/450, which gives 26 2/3 day

Step-by-step explanation:

how many quarts of soil are used to fill 2 flower pots

Answers

Answer: 20 quarts for two "standard" sized pots.

Step-by-step explanation:

Simplify the expression where possible

Is the answer 6^-9 or -54

Answers

The given expression can be rewritten as  [tex]6 ^{-9}=\frac{1}{6^9}[/tex].

Power Rules

There are different power rules, as presented below:

Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents.Power. For this rule, you should repeat the base and multiply the exponents.Zero Exponent. When you have an exponent equals to zero, the result must be 1.

For solving this exercise, you should identify the power rules you will apply. For this question, you can apply the following rule:

"Power -  repeat the base and multiply the exponents."

Lilke the base is 6 and the exponents are 3 and -3, then you can rewrite the expression as:

[tex](6^3) ^{-3}=6 ^{-9}=\frac{1}{6^9}[/tex]

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Find the distance between each pair of points.

Answers

Your first point is at (1,-2) and your second point is at (-5,5) the distance between the x axis’ is 6 and the y axis’ is 7

Take the square of 6 (36) and the square 7 (49) and add them together to make the sqrt of 85

This is simplest form


Simplify each expression.
ln 1

Answers

ln (1) = 0, by properties of logarithms.

What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Now,

ln (1) = [tex]log_e(1)[/tex]

By properties of logarithms, we get that: [tex]log_b(1) = 0[/tex], for any value of b.

Hence, ln (1) = 0, by properties of logarithms.

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Ranger wants to verify that the expression

8x - 20 is the correct simplified expression for 4(2x - 5) Explain how to verify the simplified expression.

Answers

Answer: It is correct.

The first step here is to distribute the numbers

4 times 2x is 8x

4 times -5 is -20

Therefore, you're left with 8x-20

I hope this helps!

hi, can anyone help me with this problem?

Answers

The transversal would be QLP

35° 91° 65° 28 What anglemeasures is this?

Answers

The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

How to identify each of the angle measures?

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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Complete question

What angle measure is this? 35° 91° 65° 28°

acute, right, obtuse, straight, or reflex

describe fully the single transformation that takes shape a to shape b

Answers

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

What is transformation?

Transformation involves changing the position and size of a shape.

How to determine the transformation of the shapes?

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.

So, the scale of dilation from shape A to B is:

Scale = 1/2

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

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Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65 and costs an additional $0.30 per mile driven. The
second plan has no initial fee but costs $0.80 per mile driven. How many miles would Sam need to drive for the two plans to cost the same?

Answers

Sam would need to drive for the two plans to cost the same is 130 miles.

Let, x = Number of miles driven

      y = Total cost

The first plan:

Initial fee = $65

Cost of 1 mile = $0.3

Cost of drive x mile = $0.3x

In total, you will pay

y = 0.3x + 65 for the first plan.

The second plan:

There are no initial costs, but

Cost of 1 mile = $0.80

y = 0.80x

Now we have two equations

y = 0.3x + 65

y = 0.80x

As we know that y is equal to both 0.3x + 65 and 0.80x, this means we can equate the right hand sides and solve for x.

    0.3x + 65 = 0.80x

0.80x - 0.3x = 65

            0.5x = 65

                 x =  65÷0.5

                 x =  130

The cost of two plans will be same when Sam drive 130 miles.

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help please 3 2/5 ⋅ 2 1/3

Answers

Answer:

7 14/15

Step-by-step explanation:

The formula for the area A of a trapezoid
A = 1/2 (b + b,)h. Solve for b

Answers

[Mathematical Situation]

Solve for  [tex]b_1[/tex];  [tex]A=\frac{1}{2} (b_{1} + b_2)h[/tex]

Solution:

[tex]b_1=\frac{2a}{h}-b_2[/tex]

Hope this helps!

15. Given the following relation {(2, 1), (-4,5), (1,7), (2, -3), (-1,2)), determine if it is a function.

Answers

We get that the relation  { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

We are given a relation as:

{ ( 2 , 1 ) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) }

We need to find that whether it is a function or not.

A relation is a set that shows a relationship between two values. A function  is from a set X to a set Y assigns to each element of X exactly one element of Y.

Here, we can see that it is a function as one value of x only has one image in the set y.

Therefore, we get that the relation  { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

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40PTS. When you are getting dressed, you put your socks on first and then your shoes on second. But to undo this, you take your shoes off first and your socks off second. Why do you have to reverse the order? Use this scenario to help you explain why it is helpful to work backward when solving equations.

Answers

Jbeineineibei e h in


Simplify each expression. x³/₅ / x³/₁₀

Answers

The result of simplifying the expression  x³/₅ / x³/₁₀  using the exponent rules is [tex]\sqrt[10]{}[/tex](x³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

[(x)³/₅ ] /  [(x)³/₁₀]

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

x⁽³/⁵ ⁻³/¹⁰⁾

(x)⁽⁶⁻³⁾/¹⁰

(x)³/¹⁰

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt[10]{}[/tex](x³)

What is an exponent?

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Amari and ethan planned an end-of-season soccer party. they purchased 45 hot dogs and 30 individual bags of chips.

Answers

15 is the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

How to solve for the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

The greatest common factor of 45 and 30 is 15

using ratio

45 : 30

3 : 2

This means that one person will receive 3 hotdogs in 2 bags. Also 15 people will get the equal amount without left overs

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complete question

Amari and Ethan planned an end of season soccer party to purchase 45 hotdogs in 30 individual bags of chips which person will receive the same amount of food what is the greatest number of people they can be without having any leftovers


Complete the following angle identities. tan (A+B)=

Answers

Answer:

tan A +tanb

Step-by-step explanation:

1-tan a tan b

i think so

1-(r+2)=9 (pls help, I'm not the smartest person)

Answers

Answer:

r = -10

Step-by-step explanation:

1. Distribute

1-(r+2)=9

1-r-2=9

2. Subtract the numbers

1-r-2=9

-1-r=9

3. Rearrange the terms

-1-r=9

-r-1=9

Solution: r = -10

Please answer!!!!!!!!
Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).
A dilation with a scale factor of 3 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of (−6, 12)?

E′

F′

G′

H′

Answers

The vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

It is given that:

The coordinates are:

Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).

After applying dilation with a scale factor of 3:

E(−3, 4) → E'(-3x3, 4x3) = E'(-9, 12)

Similarly,

F(−2, 4) → F'(-6, 12)

G(−2, −2) → G'(-6, -6)

H(−3, −2) → H'(-9, -6)

Thus, the vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

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400 students were surveyed about their favorite school lunch. Exactly how many students chose pizza as their favorite school lunch based upon the data in the circle graph above?

Answers

The students chose pizza as their favorite school lunch based upon the data will be 130 students.

How to illustrate the information?

Let the assumed fraction for those who choose pizza be 3/10.

From the information, 400 students were surveyed about their favorite school lunch.

Therefore, the students chose pizza as their favorite school lunch based upon the data will be:

= Fraction for pizza × Total students

= 3/10 × 400

= 120 students

Note that an overview was given as the graph wasn't found.

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Banana Boat sunscreen sells for $12 for a 20 fluid ounce bottle. What is the cost per ounce for the sunscreen?​

Answers

Answer: 20/12

Step-by-step explanation:


Find each composition of functions. Simplify your answer.
Let f(x)=2 x-3 . Find f(1+h)-f(1) / h, h≠0

Answers

A composite function exists as a function that depends on another function. The value for (f(1+h)-f(1)) / h = 2

What is meant by composition function?

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the function be f(x) = 2x - 3

f(1+h) = 2 (1+h) -3 = 2h - 1

f(1) = 2(1) - 3 = -1

(f(1+h)-f(1)) = (2h - 1 ) + ( -1) = 2h

simplifying the equation, we get

(f(1+h)-f(1)) / h = 2h/ h

(f(1+h)-f(1))/h = 2

Therefore, the value of (f(1+h)-f(1))/h = 2.

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PLS HELP
Look at the picture I attached, please help!

Answers

The expression which models the maximum number of days in which she can rent the car is 20x + 10 ≤ 80

How to illustrate the information?

The maximum amount to spend = 80

Fixed charge per day $20

Charge per mile = $0.10

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤ 80

20x + 0.10 × 100 ≤ 300

20x + 10 ≤ 300

Hence, the required inequality expression is 20x + 10 ≤ 80.

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Multiply. (3+√2)(4+√2)

Answers

The multiplication of the expression ( 3 + √2)( 4 +√2 ) is 14 + 7√2.

Multiplication in elementary algebra is the process of figuring out the outcome of multiplying a number by a number b. The product of a and b is the outcome of multiplication, and each of the integers a and b is referred to as a factor of the product ab.

Consider the expression,

y = ( 3 + √2)( 4 +√2 )

Using the distributive property,

a( b + c ) = ab + ac

y = ( 3 + √2)( 4 +√2 )

y = 3( 4 + √2 ) + √2( 4 + √2 )

y = 3 × 4 + 3 × √2 + √2 × 4 + ( √2 )²

y = 12 + 3√2 + 4√2 + 2

y = 14 + √2( 3 + 4 )

y = 14 + 7√2

The value of the expression ( 3 + √2)( 4 +√2 ) when simplified is 14 + 7√2.

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The results of a survey of customers at a pet supply store showed that 33 owned dogs, 42 owned parrots, and 20 owned both dogs and parrots. How many owned either a dog or a parrot?
of the customers surveyed, owned either a dog or a parrot
(Type an integer or a decimal.)

Answers

Based on the number of customers who owned parrots, dogs and parrots, and dogs, the number who owned either a dog or a parrot were 55 customers

How to find the number who owned either a dog or parrot?

The number of people who owned a parrot was 42. 33 people also owned a dog. Some of these people owned both a dog and a parrot and they numbered 20.

To find the number of customers who owned either a dog or a parrot, the formula is:
= Number of customers who owned a dog + Number of customers who owned a parrot - Number of customers who owned both a dog and parrot

= 33 + 42 - 20

= 75 - 20

= 55 customers

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Can I please have answers to this question

Answers

Answer:

6.  Slope = 2

7.  y-intercept = 5

8.  Equation:  y = 2x + 5

Step-by-step explanation:

Question 6

To find the slope of a line, define two points on the line:

(x₁, y₁) = (0, 5)(x₂, y₂) = (1, 7)

Substitute these values into the slope formula and solve for m:

[tex]\implies \textsf{slope}\:(m)=\dfrac{7-5}{1-0}= \dfrac{2}{1}=2[/tex]

Therefore, the slope of the graph is [tex]\boxed{2}[/tex].

Question 7

The y-intercept is the y-value of the point at which the line crosses the y-axis.

From inspection of the given graph, the y-intercept is [tex]\boxed{5}[/tex].

Question 8

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

Where:

m = slopeb = y-intercept

Substitute the found slope and found y-intercept into the formula to create an equation for the line:

[tex]\boxed{y=2x+5}[/tex]

A laptop has a listed price of $887.99 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included.

Answers

The total cost of the laptop, including the sales tax, is $974.57.

How is the total cost determined?

The total cost of the laptop is the addition of the listed price and the sales tax (dollars).

The listed price refers to the retailer's (seller's) price before the addition of the sales tax.

After adding the sales tax to the listed price, the total cost is obtained.

Therefore, sales tax, which is a proportional tax, increases the cost of goods and services to consumers.

Data and Calculations:

Listed price before tax = $887.99

Sales tax rate = 9.75%

Total cost after tax = $974.57 ($887.99 x 1.0975)

Thus, the total cost of the laptop after factoring in the sales tax is $974.57.

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