. If the lesser of two consecutive even integers is five more than half the greater,
what are the two integers?

D. The solution of the quadratic equation using completing the square method is x = 7 ±√3.

Completing the square method is one of the methods to find the roots of the given quadratic equation.

In completing the square method, we have to convert the given equation into a perfect square.

The given quadratic equation;

x² - 14x + 46 = 0

collect similar terms together;

x² - 14x = -46

take half of coefficient of "x", square it and add it to both sides of the equation.

(x - 7)² = -46 + 49

(x - 7)² = 3

take square root of both sides

x - 7 = ±√3

add "7" to both sides of the equation

x = 7 ±√3

Thus, the solution of the quadratic equation using completing the square method is x = 7 ±√3.

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Answer:

[tex] \sf \large \: t<3[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

1<4−t

Step 1: Simplify both sides of the inequality.

1<−t+4

Step 2: Flip the equation.

−t+4>1

Step 3: Subtract 4 from both sides.

−t+4−4>1−4

−t>−3

Step 4: Divide both sides by -1.

−t/−1 > −3/−1

t<3

Answer: Zero product property

n = 0

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

Explanation:

The zero product property is the idea that if A*B = 0, then either A = 0 or B = 0 or both are zero.

This is because we cannot multiply nonzero values to get a result of zero.

In the equation 5*n*2 = 0, we have 5 and 2 as nonzero, which forces the variable n to be zero. So this is why n = 0 is the only solution here.

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

Extra info:

The zero product property is often used in factoring. For example, x^2+5x+6 = 0 factors to (x+3)(x+2) = 0. Then we set the pieces equal to zero and solve for x

x+3 = 0 leads to x = -3

x+2 = 0 leads to x = -2

The populace is the concrete produced by a certain procedure. This population is conceptual since the concrete won't exist until the sampling procedure has created it.

It is frequently crucial to ascertain the type of population we are working with when asked to perform a sample of it. Sometimes we want to learn more about a lot of different things, like people, apple trees, cereal boxes, etc. Physical things make up the majority of this population. But occasionally, we work with a population that is determined by how well a certain method works (like flipping a coin). We cannot influence that population, but we are aware of its behavior. The population is the broad category of topics about which we are interested in learning more. Since we are dealing with concrete objects that we can touch and interact with, it is more particularly a tangible population.

Similar to the bag of marbles, we have a 50/50 probability of seeing each result. The population does not yet exist with the coin, which is the problem. To get a result, we must flip a coin. Although it is only a notional population, we nonetheless regard "all of the coin flips" as the conceptual population.

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Answer:

[tex]{ \rm{ac = ab + bc}} \\ { \rm{(x + 3) = (2x - 11) + 8}} \\ { \rm{2x - x = 3 + 11 - 8}} \\ { \rm{x = 6}}[/tex]

Answer:

v = 72

Step-by-step explanation:

If the length of both the sides are 12, it means it is an Isosceles triangle which means 2 sides of a triangle are equal. If both sides are equal then both angles will be equal too.

54 and 54

54 + 54 + v = 180

108 + v = 180

v = 72

Nikola took 2 hours to finish the swimming part

Nikola took 4.5 hours to finish the running part

A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.

Calculations:

Assume,

[tex]t=time\;in\;hrs\;to\;complete\;swimming\;part[/tex]

[tex]6.5-t=time\;in\;hrs\;to\;complete\;running\;part[/tex]

[tex]d=distance\;in\;km\;that\;he\;swam[/tex]

[tex]73.5-d=distance\;in\;km\;that\;he\;ran[/tex]

Equation of swimming part,

[tex]d=3t[/tex]

Equation of running part.

[tex]73.5-d=15\times(6.5-t)[/tex]

Substitute the value of d in running part equation,

[tex]73.5-3t=15\times(6.5-t)[/tex]

[tex]73.5-3t=97.5-15t[/tex]

[tex]12t=24[/tex]

Therefore,

[tex]t=2[/tex]

[tex]Time\;to\;complete\;summing\;part=t[/tex]

[tex]Time\;to\;complete\;summing\;part=2\;hours[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-t[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-2[/tex]

[tex]Time\;to\;complete\;summing\;part=4.5\;hours[/tex]

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Answer:

B

Step-by-step explanation:

its the second one

hope this helps :)

Answer:

Please mark this answer as the brainliest, it would really mean a lot to me

Answer = 28 Degrees

Step-by-step explanation:

If the triangle has two sides that are the same, it is an isosceles triangle.

The rule for an isosceles triangle is "an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C."

So in this case, it would be FE = FG, and ∠E = ∠G.

Answer:

31.36m, 73.2m, 52.3m respectively

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When 7 and 14 are divided by their respective co-ratios, both quotients come out to 2.3333333333333. This means that D forms a porportion.

Answer:

Step-by-step explanation:

The answer is D because 7/14=0.5 and so does 3/6

What happens when x = 4 is that the graph is equal to zero when x = 4.

The information that we have is:

"The graph of y = -1/2x + 2 is  is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."

Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.

But we could also test it with the equation:

y = -(1/2)*x + 2

if we replace the x with 4.

y = -(1/2)*4 + 2 = -2 + 2 = 0.

Then our previous hypothesis was correct.

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Answer:

27

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation.

Step 2. Solve using PEMDAS

2 ( 6 + 3 ) - 2

2 ( 9 ) - 2

18 - 2

16

Based on the given parameters, the range of the function is -8 < y < -3

We have the following endpoints on the graph of the function;

(x, y) = (-5, -3)

(x, y) = (10, -8)

A diagonal curve connects both points

Remove the x values to determine the range

y = -3

y = -8

-8 is less than -3

So, the range can be represented as

-8 less than y less than -3

Express less than using the inequality <

So, we have

Range: -8 < y < -3

Hence, the range of the function is -8 < y < -3

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Answer: your answer should be  -8 < y < -3

Step-by-step explanation:

The statement that the product of an integer and a decimal number will never be an integer is false

The statement is given as

The product of an integer and a decimal number will never be an integer.

The above statement is false.

Take for instance, we have

2 x 2.5

2 is an integer and 2.5 is a decimal number

The product is

2 x 2.5 = 5

5 is an integer

Hence, the statement that the product of an integer and a decimal number will never be an integer is false

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The total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.

Given that, while visiting the zoo, Monika has budgeted $10 for lunch at the café.

To add decimals, write the numbers in a column, and make sure that the decimal points are aligned. To keep the decimal point in your sum, place a decimal point directly below the decimal points in the addends. Align the decimal point in the sum with the decimal point in the addends, and add a zero if necessary.

Cost of a Cheeseburger= $4.75

Cost of a french fries, a large = $1.90

Cost of a milkshake = $3.25.

Now, the total amount spent at the cafe =  Cost of a Cheeseburger + Cost of a french fries, a large + Cost of a milkshake

= (4.75+1.90)+3.25

=6.65 + 3.25

=$9.9

Therefore, the total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.

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"Your question is incomplete, probably the complete question/missing part is:"

While visiting the zoo, Monika has budgeted $10 for lunch at the café. Can she afford a bacon cheeseburger, large fries and milkshake? Explain.

The cost of food items available at cafe are listed below:

Sandwiches Sides Beverages

Hamburger $3.25

Bacon Cheeseburger $4.75

Chicken Fajita Taco $3.50

French Fries, Small $1.55

French Fries, Large $1.90

Onion Rings $2.40

Cole Slaw $1.45

Soft Drink, Small $1.30

Soft Drink, Large $1.65

Milkshake $3.25

Juice $1.80

Answer:

A. ≈65in

B. ≈68in

Step-by-step explanation:

Girls: 25 + 1.17h

Boys: 22.7 + 1.37h

A. 25 + 1.17(34) = 25 + 39.78 = 64.78in

B. 22.7 + 1.37(33) = 22.7 + 45.21 = 67.91in

Since it's asking for the nearest inch:

A. ≈65in

B. ≈68in

I hope this helps!

The factor of the given expression 8x³ - 800x is (A) 8x.

So, 8x³ - 800x:

As a result, (A) 8x is the expression's factor.

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The correct question is given below:
Question 7(Multiple Choice Worth 1 point)

(02.01 MC)

One of the factors of 8x3 - 800x is

A. 8x

B. x+10

C. x-10

D.All of the above

Answer:

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Answer: I got you!

The answer is below!

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.

Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.

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Answer:

Step-by-step explanation:

the answer is 8

8 shipping cost

8 + X = Y

After simplifying the given expression 9 p³ q¹ ( 3 p³ - 5 q ), we get 27 p⁶ q - 45 p³q².

We are given that:

9p³q¹(3p³ - 5q)

We need to simplify it:

So, we get that:

= ( 9 p³q¹  × 3 p³ ) - ( 9 p³q¹  ×  5 q )

Simplify:

= 27 p³⁺³q - 45 p³q¹⁺¹

Simplifying it, we get that:

= 27 p⁶ q - 45 p³q²

Therefore, after simplifying the expression 9 p³q¹ ( 3 p³ - 5q ), we get 27 p⁶ q - 45 p³ q².

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Answer:

IQR = 13

Step-by-step explanation:

first step is to find the median of the data set.

rearrange the data into ascending order. Then the median is the middle value.

1  ,  6  ,  7  ,  8  ,  12  ,   19  ,  30 ← in ascending order

                   ↑ middle

then median = 8

the interquartile range (IQR) is calculated as

IQR = Q₃ - Q₁ ( Q₃ is the upper quartile and Q₁ the lower quartile )

Q₃ is the middle value of the data to the right of the median

12  ,  19  ,  30

        ↑ middle

then Q₃ = 19

Q₁ is the middle value of the data to the left of the median

1  ,  6  ,  7

     ↑ middle

then Q₃ = 6

IQR = 19 - 6 = 13

17. The remainder is 11

I showed my work here

https://witeboard.com/537d7850-38f8-11ed-b5a9-6540cf185f3a

Answer:

17, remainder 11

____________

         [tex]Borrow\:6\:from\:the\:ones\:place\\=26\\= 26 - 15(15 \cdot 1)\\= 11\\Drop\:the\:borrowed\:6\\= 116\\= 116 - 105(15 \cdot 7)\\= 11\\\\Using\:the\:numbers\:we\:multiplied\:\:the\:divisor\:by,\\we\:got\:17.\:So\:our\:answer\:would\:be\:17\:with\:a\:remainder\:of\:11.[/tex]

____________

Follow the 3 steps:

➪ Hope this helps!

➪ Notify me of any concerns.

➪ Have a great day.

Answer: x=4

HJ=13

JK=5

Step-by-step explanation:

KH=HJ+JK

18=2x+5+3x-7

18=2x+3x+5-7

18=5x-2

5x=20

x=4

HJ=2x+5

HJ=2(4)+5

HJ=8+5

HJ=13

JK=3(4)-7

JK=12-7

JK=5

Step-by-step explanation:

answer=((a/(2× sqrt 2))+(b/(3× sqrt)))((a/(2× sqrt 2))-(b/(3× sqrt 2)))

method-difference of two squares

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= [tex]\frac{1.10+1.25+1.32}{3}[/tex]

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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