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An equation represents a represents only when there is a unique value of x for every value of y. when it represents u as a function of x.

i.e if we draw lines parallel to y axis and it cuts the curve two or more than two times at a particular value of x then it doesn't represent a function at all.

And as we can see in the given tables,

1.) 12.23 is the value of x for both 5.4 and 6.4

2.) 0.31 is the value of x for both 55 and 59

4.) 20 is the value of x for both 245 and 255

So, the only table representing y as a function of x is table 3.

Answer:

table 3 is correct i took the test

Step-by-step explanation:

Answer:

The answer is 7 for C.

Step-by-step explanation:

7+7=14 and 7x7=49

The diamond just asks for numbers that make up a pattern for the two given numbers.

Answer:

[tex]\mathrm{b = 2\frac{A}{h} - a}[/tex]

Translation:

Option C.

Answer:

6

Step-by-step explanation:

Possibly 6 but if not let me know

Answer:

6

Step-by-step explanation:

the h's cancel out

The solutions to the equation 10x⁴ + 30x³ + 35x² as required in the task content are; 0, (-3 + i√5)/2, and (-3 - i√5)/2.

It follows from the task content that the given equation is; 10x⁴ + 30x³ + 35x² = 0.

Hence, to find all the solutions of the equation, one must factorise the expression on the left hand side so as to obtain the factors as follows;

10x² (x² + 3x +3.5) = 0

Hence, we have;

10x² = 0; x = 0 OR

x² + 3x +3.5 = 0.

Hence, it follows from the quadratic formula that the roots/zeroes of x in the equation above can be evaluated as follows;

x = {-b±√(b²-4ac)}/2a

hence, by comparison, we have;

x = {-3±√(9-14)}/2

x = (-3 ± √-5)/2

x = (-3 ± i√5)/2

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Answer:

3×8 =24

24÷2=12

Area of triangle=12m²

Step-by-step explanation:

3×8 =24

24÷2=12

Answer:

$7.4

each bag of milk cost $7.4

Answer: $7.4

Step-by-step explanation: i did this and i remember it!

Answer:

$4,218.75

Step-by-step explanation:

The formula for computing simple interest I on a principal amount P for t years at an interest rate of R% is given by

I = Prt

The ending balance amount is found by adding the principal to the interest computed

Ending balance = P + I

Here r is the interest rate in % converted to a decimal. This is done by dividing by 100

r = R/100 = 2.75%/100 = 0.0275 per year

I = 2500 x 0.0275 x 25 = 1718.75

So interest I = $1718.75

Ending balance = $2,500 + $1718.75 = $4,218.75

Answer:

I could be wrong, but I think you got right in the beginning 107°, but go with your gut feeling. Wish you the very best <3

Answer: x=73 degrees, z=73 degrees, y=107 degrees

Step-by-step explanation:

y=107 degrees because y and 107 degrees are congruent angles

z=x because z and x are congruent angles

x+y=180 ==> x and y are supplementary angles that are placed on a straight line(the straight line is 180 degrees and is called a straight angle.)

x+107=180

x=73 degrees

z=x

z=73 degrees

Answer: x=-3-[tex]\sqrt{7}[/tex] or x=-3+[tex]\sqrt{7}[/tex]

Step-by-step explanation:

f(x)=x+1. g(x)=x+5

(f * g)(x)=

f(x)*g(x)=

(x+1)(x+5)=

x^2+5x+x+5=x^2+6x+5

x^2+6x+5=3

x^2+6x+9=7 ==> Add 4 on both sides of the equation

(x+3)^2=7

x+3=[tex]\sqrt{7}[/tex]

x=-3+[tex]\sqrt{7}[/tex]

x+3=-[tex]\sqrt{7}[/tex]

x=-3-[tex]\sqrt{7}[/tex]

The dimensions of floor is 500 cm by 212.5 cm

Multiply the width and length of each rectangle to find its area. The areas of each rectangle are then added up to determine the total area. In the event that your room is L-shaped, for instance, this can be split into two rectangles. Additionally, this method still works in a complicated room.

500 cm by 212.5 cm

Given :

The main arena hall has dimensions 200 m by 85 m.

On a large diagram on the office wall the scale is 1:40.

Length of arena hall = 200 m

Scale is 1:40

So, the length of the floor =

Since 1 m = 100 cm

So, 5 m = 100*5 = 500 cm

Width of arena hall  = 85 m

So, width of floor =[tex]\frac{85 * 1}{40}[/tex]  =  2.125m

Now 1 m = 100 cm

So, 2.125 m = 212.5 cm

Thus the dimensions of floor is 500 cm by 212.5 cm

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The equation of line which passes through (-2, 8) and perpendicular to the line conatining (0, 1) and (4, 5) is y = -x + 6 .

Let the equation of line passes through the point (-2, 8) be y = mx + b.

Where m is the slope of the line and b is the y intercept of the line.

According to the given question.

A line passes through the points (-2, 8).

And it is also perpendicular to the line containing (0, 1) and (4, 5).

Since, the line is perpendicualr to the line conatining (0, 1) and (4, 5).

So, the slope of the line whose equation is to be find is given by

m = -1/(5 - 1/4-0)

⇒ m = -1/4/4 = -1

Thereofre, the equation of line with slope -1 is

y = -1x + b

Also, it passes through (-2, 8)

So,

8 = -1(-2) + b

⇒ 8 - 2 = b

⇒ b = 6

Thereofore, the equation of line which passes through (-2, 8) and perpendicular to the line conatining (0, 1) and (4, 5) is y = -x + 6 .

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The value of x is -160.

An equation in which the power of any variable is not more than one is called a linear equation.

Here, we are given a linear equation as follows-

5 × x + 860 = 2 × x + 380

⇒ 5x + 860 = 2x + 380

Let us solve the given equation-

Subtracting 2x from both sides, we get

5x - 2x + 860 = 2x - 2x + 380

3x + 860 = 380

Subtracting 860 from both sides-

3x + 860 - 860 = 380 - 860

3x = -480

dividing both sides by 3,

3x/3 = -480/3

x = -160

Thus, the value of x comes out to be -160.

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Step-by-step explanation:

Results of the Assembly elections in five States are indeed a shot in the arm for the Bharatiya Janata Party (BJP), which won in all four States where it was in power. The Hindu editorial captures the broad trends that emerge out of these results. Prime Minister Narendra Modi has said these results have sealed the outcome of the 2024 Lok Sabha elections too in the BJP’s favour. He said people have rejected caste and dynastic politics.

b. The  number of successes in the Washington sample were 4740 .

The number of  failures in the Washington sample is 1,260

c. the 95% confidence interval for the true difference in population proportions between the people of Washington, DC, and the people of Atlanta who agree with the statement "Employers should be required to pay men and women the same salary for the same job" is 0.018 to 0.068.

(b) Number of successes and failures in the Washington sample:

Total number of respondents in the Washington sample: 6,000

Percentage who agreed with the statement: 79%

Number of successes = 79% of 6,000

= 0.79 * 6,000

= 4,740

Number of failures = Total - Number of successes

= 6,000 - 4,740

= 1,260

(c)

confidence interval = (p1 - p2) ± Z * √((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

p1 = Proportion of successes in the Washington sample

p2 = Proportion of successes in the Atlanta sample

n1 = Size of the Washington sample

n2 = Size of the Atlanta sample

Z = Z-score for the desired confidence level = 1.96

confidence interval = (0.79 - 0.74) ± 1.96 * √((0.79 * (1 - 0.79) / 6000) + (0.74 * (1 - 0.74) / 4800))

confidence interval = 0.05 ± 1.96 * √((0.79 * 0.21 / 6000) + (0.74 * 0.26 / 4800))

confidence interval = 0.05 ± 1.96 * √(0.00013815 + 0.0001244583)

confidence interval = 0.05 ± 1.96 * √(0.0002626083)

Lower bound of the confidence interval (DC - Atlanta)

= 0.05 - 0.0317226549

=  0.018

Upper bound of the confidence interval (DC - Atlanta)

= 0.05 + 0.0317226549

= 0.068

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Answer:

$ 850.25

Step-by-step explanation:

I will assume anything over 40 hours is 'overtime'

total pay will be

   regular pay    +   overtime pay

 17.90 * 40 hr    +   (17.90 * 1.5)(5hr) = $ 850.25

Answer:

True

Step-by-step explanation:

Because you never expect when something may show up once your doing something and forget about what you lost a while back. Sometimes it just pops up and we're like, "Oh that's where it was".

Can't say true or false because both can be answers in different cases, mathematically speaking you can select one thing from a set of similar things having similar chance to be selected. and again you can also select one thing at random from a set of things having different chance of being selected. in my perspective:)

and maybe the question has more chance to be false because if a statement is false at least in one case it is false.

Answer:

[tex](x-1)(x+4)[/tex]

Step-by-step explanation:

Given:

[tex]x^2+3x-4[/tex]

The best way to write a polynomial with three terms as a product of binomials is to FACTOR!

The middle number is 3 and the last number is -4.

Factoring means we want something like

[tex](x+?)(x+?)[/tex]

We need two numbers that...

ADD together to get 3 and

MULTIPLY together to get -4

Test the numbers -1 and 4:

[tex]-1+4=3\\(-1)4=-4[/tex]

These are the right numbers! Now, I can write them as factored binomials!

[tex](x-1)(x+4)[/tex]

Answer:

172 kilowatts.

Step-by-step explanation:

Energy : 237.188 billion = 237,188,000,000 = 2.37188 × 10¹¹

People : 1.379 billion = 1,379,000,000 = 1.379 × 10⁹

Divide both values : 2.37188 ÷ 1.379 = 1.72; 10¹¹ ÷ 10⁹ = 10² ⇒ 1.72 × 10² or 172 kilowatts.

Answer:

x = 23

Step-by-step explanation:

The two angles are supplementary angles.

Supplementary angles sum 180°

(6x+4) + 38 = 180

6x + 42 = 180

6x = 180 - 42

6x = 138

x = 138/6

x = 23

Check:

6*23  + 4 + 38 = 180

138 + 42 = 180

Answer:

Step-by-step explanation:

We know that the sum of angles of a linear pair is always equal to 180°. These angles are also known as supplementary angles.

[tex]\bf 6x+4+38^o=180^o[/tex] (Add numbers)

[tex]\bf 6x+42=180[/tex] (Simplify)

[tex]\bf 6x+42-42=180-42[/tex](Subtract both sides by 42)

[tex]\bf 6x=138[/tex] (Simplify)

[tex]\bf \cfrac{6x}{6}=\cfrac{138}{6}[/tex] (Divide both sides by 6)

[tex]\bf x=23[/tex]

Therefore, x = 23.

_____________________

Hope this helps!

Have a great day!

Answer:

5/3 + 15/4 are the fractions

The fraction that is greater is 36/104 since 34.62% is greater than 32.11%

Fractions are written as the ratio of two integers. For instance a/b is a fraction.

In order to determine which of the fractions is greater, we will express them as percentage as shown:

35/109 * 100

3500/109

32.11%

Similarly;

36/104 * 100

3600/104

34.62%

Hence the fraction that is greater is 36/104 since 34.62% is greater than 32.11%

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Answer:

2^2×3×5

Step-by-step explanation:

hope this works :)

Answer:

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

y is greater by 100 times

Answer:

1/81

Step-by-step explanation:

[tex](3^2)^{-2}=3^{-4}=\frac{1}{3^4}=\frac{1}{81}[/tex]

Answer:

7/10 = 0.7 = 70%

25/100 = 0.25 = 25%

56/100 = 0.56 = 56%

Step-by-step explanation:

Answer:

[tex]1cm = 20 \times 100 \\ = 2000cm \\ 1cm = 2000cm[/tex]

Main Answer:1) (x + 2)

                     2) The numbers are 19 and 21.

Concept and definitions should be there:

An odd integer n is an integer which is not a multiple of 2 (or equivalently one more than a multiple of 2). The odd integers are ..., -5, -3, -1, 1, 3, 5, ... Every odd integer can be written in the form 2k + 1 for some unique integer k.

The product of any two odd integers is odd and the result of a division where both the dividend and the divisor are odd is odd. But the sum and difference of any two odd integers are even.

The sum and difference of an even integer and odd integer are odd. Besides 2, all prime numbers are odd. Also, odd integers are really cool

This article is a stub. Help us out by expanding it.

Given data:

1) We have two consecutive odd integers.

Solving part:

Remember that the distance between any two consecutive odd numbers is 2.

5 - 3 = 2

7 - 5 = 2

13 - 11 = 2

etc.

So if the smaller of the two odd numbers is x, then the larger one will be (x + 2).

Given that:

2) We have two consecutive odd numbers, let's write them as:

Solving part:

(2*n + 1) and (2*n + 3)

Where n is an integer number.

We know that the smaller one is 12 more than one third of the larger one, so we have:

(2*n + 1) = 12 + (2*n + 3)/3

Now we can solve this for n

2*n + 1 = 12 + (2/3)*n + 1

2*n - (2/3)*n = 12 + 1 - 1

(4/3)*n = 12

n = (3/4)*12 = 9

n = 9

Then the two consecutive odd integers are:

(2*n + 1) = (2*9 + 1) = 19

(2*n + 3) = (2*9 + 3) = 21

Final Answer:1) (x + 2)

                      2) The numbers are 19 and 21.

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