Which choices are equivalent to the fraction below? Check all that apply.

Answer:

The equal is valid for x≤ 5/2

Step-by-step explanation:

sqrt(4x²-20x+25)=5-2x

Square both sides

(sqrt(4x²-20x+25))^2=(5-2x)^2

Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2

(4x²-20x+25)=25-20x+4x^2

The left side is equal to the right side

We need to check for extraneous solutions

The break point is 5-2x =0

5 =2x

x =5/2

Check x < 5/2

Let x=0

sqrt(4x²-20x+25)=5-2x

sqrt(25)=5

True

Check x=5/2

sqrt(4x²-20x+25)=5-2x

sqrt(4(25/4)-20*5/2+25)=5-2(5/2)

sqrt(25-50+25)=5-5

0=0

True

Check x>5/2

Let x=10

sqrt(4x²-20x+25)=5-2x

sqrt(4*100-20*10+25)=5-2*10

sqrt(400-200+25)=5-20

sqrt(225) = -15

15 does not equal -15

False

The equal is valid for x≤ 5/2

Answer:

So, the option (D) is the answer.

Step-by-step explanation:

A. The negative numbers are always less than positive numbers.

It is true.

For example, - 2 < + 2  

B. The sum of two negative numbers is always negative.

It is true.

For example, - 3 + (- 3) = - 6  

C. The difference between two negative numbers is sometimes positive.

It is true.

For example, (- 3) - (-4) = 1

D. The product of two negative numbers is always negative.

It is false.

For example, (-3)(-3) = 9  

E. The quotient of two negative numbers is always positive.

It is true.

For example, (-3)/(-1) = 3

Answer:

a. The sum of 2 and the quotient of 3 and y

Step-by-step explanation:

Answer:

equation: 14506.226(0.870)^x

answer: 1796.15

Step-by-step explanation:

Plugging in the tables into your calcuator

a= 14506.226

b= .870

y=ab^x

y= 14506.226(0.870)^x

= 1796.15

The equation of the exponential regression is [tex]\rm y = 14100 \ e^{-0.087x}[/tex]. And the value of a car after 15 years is $ 3,823.53.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.

The exponential regression equation will be given as

[tex]\rm y = A_o e^{kx}[/tex]

Where A₀ is the coefficient of exponential regression and k is the constant.

For x = 0, the value of y will be $ 14100. Then we have

[tex]\rm 14100= A_o e^{k*0}\\\\ A_o \ \ \ \ = 14100[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{kx}[/tex]

For x = 1, the value of y will be $12,929. Then we have

[tex]\rm 12929= 14100 e^{k*1}\\\\ e^k \ \ \ \ = 0.91695[/tex]

Taking ln both sides, then we have

[tex]\begin{aligned} \rm ln\ e^k &= ln \ 0.91695\\\\\rm k*ln \ e &= -0.087\\\\\rm k &= -0.087 \end{aligned}[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{-0.087x}[/tex]

Then after 15, the value of a car will be

[tex]\rm y = 14100 \ e^{-0.087*15}\\\\\rm y = 14100 * 0.2712\\\\\rm y = 3823.53[/tex]

More about the exponent link is given below.

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Answer: I asked my teacher, she said it is c

Step-by-step explanation:

Answer:

yes it's c

have a great day

Answer:

The answer is A. The team never scored exactly 2 goals in a single game.

Step-by-step explanation:

Edg 2021

The correct answer is Option A , The team never scored exactly 2 goals in a single game.

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

These types of charts are used to graphically depict certain data trends or groupings.

The team never scored exactly 2 goals in a single game.

It is Option A , because it says the team never scored exactly 2 goals in a single game

and the dot plot shows 0 dots in number 2 which means A. is the correct answer.

To know more about dot plot

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Answer:

the answer is 332

Step-by-step explanation:

quizlet

3600 meters 60 seconds would be 1440 traveled

and 1440 + 1440 + 720= 3600

Hope this helps :)

Answer:

True

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.

A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.

Answer:

nao sei ispoosksjjdkdddks

Answer:

54

Step-by-step explanation:

Split into 2 rectangles and 2 triangles and calculate area

Answer:

B.

Step-by-step explanation:

Using SOHCAHTOA,

sin 24 = 4/10

cos 24 = x/10

tan 24 = 4/x

Answer: B.

Option B. is correct. Using cosine formula the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

The ratio of the "adjacent side of a right angle triangle to the hypotenuse" is called cosine and given by the symbol 'cos'.

According to the question,

Angle of Right angle triangle is 24°

Adjacent = x

Opposite = 4

Hypotenuse = 10

In order to value of 'x' only if using cosine formula.

Formula for cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]

= [tex]\frac{x}{10}[/tex]

Hence, the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

Learn more about cosine here

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Answer:

113º

Step-by-step explanation:

(x + 14) + (180 - 83) + x + 90 + x = 540

3x + 201 = 540

3x = 339

x = 113

[tex] \huge\frak{Answer:-}[/tex]

[tex] \rm{cot \: x = cos \: x \: sin \: x}[/tex]

[tex]\huge \mathtt \purple{Answer:-}[/tex]

[tex] \sf \red{cot \: x \: = \: cos \: x \: sin \: x}[/tex]

Answer:

456

Step-by-step explanation:

It is shared by 3 people so it will be multiplied by 3.

Answer:

5472

Step-by-step explanation:

If the mean between three people is 152 kilometers per month, the distance travelled in a month is 152 * 3 = 456.

Then we multiply 456 by 12 to get the number of km travelled in a year.

456 * 12 = 5472

Answer:

Last week

Step-by-step explanation:

last week because, the class that week was only 1 hour and last weeks was 3/2 an hour

Answer:

1) The smallest is 1000, and the greatest is 9998.

2) The smallest is 1001 and the greatest is 9999.

Step-by-step explanation:

Four digit numbers:

The set of four digit numbers is: {1000, 1001, ...., 9998, 9999}

Even numbers:

End in 0, 2, 4, 6, 8

Odd numbers:

End in 1, 3, 5, 7, 9

1) the number is an even number

The smallest is 1000, and the greatest is 9998.

2)the number is an odd number​

The smallest is 1001 and the greatest is 9999.

Answer:

x=10.75 in

Step-by-step explanation:

A = 390 = x(3x+4)

3x²+4x-390 =0

ax²+bx+c=0

x= (-b±√b²-4ac)/2a

x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3

We will consider only the x that gives us a positive answer because the dimensions cannot be negative.

x= (-2+√1174)/3 = 10.75456113≈ 10.75

Answer:

Step-by-step explanation:

The new equation will be

y = abs(x) + 3

I have made a graph to show you this.

The red graph is y = abs(x)

The blue graph is y = abs(x) + 3

You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)

Answer:

b=69(alternate angle)

b=37(alternate angle)

Answer:

[tex]x=99^{\circ},\\y=81^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is [tex]180(n-2)[/tex]. Since the shape in the figure has 5 sides, the sum of its interior angles is [tex]180(5-2)=180\cdot 2=540^{\circ}[/tex].

Therefore, we can set up the following equation:

[tex]95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}[/tex]

Since [tex]\angle x[/tex] and [tex]\angle y[/tex] make up one side of a line, they are supplementary, as each side of a line is [tex]180^{\circ}[/tex].

Thus, we have:

[tex]x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}[/tex]

Answer:

sin ( 300 - 45 )

Step-by-step explanation:

sin (300 - 45 )

= - 0. 965

= - 0. 97

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

to get more about parallelograms visit:

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Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

Answer: 7 kg

Step-by-step explanation:

Answer:

1)     (2,4)

2)    (5,-2)

Step-by-step explanation:

those are the points at which the lines cross making them the solutions to the equations

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]

Answer:

in the 4th quadrant

Answer:

[tex](8 \div 6) + 3[/tex]

Step-by-step explanation:

Required

The equivalent expression

To do this, we take it one step at a time.

First, the quotient of 8 divided by 6;

This means 8 divided by 6: [tex](8 \div 6)[/tex]

3 added to it;

The expression becomes: [tex](8 \div 6) + 3[/tex]

Answer:

50

Step-by-step explanation:

The formula for the area of a trapezoid is a+b/2h. a is the top of the trapezoid (5). b is the bottom of the trapezoid(15). h is the height of the trapezoid(5). First you add 5 and 15 together to get 20. Then you divide by 2 to get 10. Now you do 10 x 5 to get 50 as your answer. 5+15/2 = 10(5) = 50