Point O is on line segment NP. Given N P = 4x + 10, NO = 4x, and
OP = x + 5, determine the numerical length of NP.

Answer:

it can't be simplified.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The value of two positive integers are 14 and 14.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Product of two positive integers are 196.

Sum of two positive integers are minimum.

Now,

Let two positive integers are x and y.

Since, Product of two positive integers are 196.

So, we can formulate;

xy = 196    ... (i)

And, Sum of two positive integers are minimum.

So, we can formulate;

s = x + y

From equation (i);

y = 196/x

Substitute in above equation, we get;

s = x + y

s = x + 196/x

Differentiate with respect to x as;

d/dx (s) = d/dx(x + 196/x)

ds/dx = 1 - 196/x² ... (ii)

Substitute ds/dx = 0, we get;

ds/dx = 1 - 196/x² = 0

1 - 196/x² = 0

1 = 196/x²

x² = 196

x = ± 14

Differentiate equation (ii) again;

d²s/dx² = 0 - (-2 × 196)/x³

d²s/dx² = 392/x³

At point x = 14,

d²s/dx² = 392/8³ > 0

Hence, At x = 14, the value is minimum.

So, we get;

xy = 196

at x = 14

y = 196/14

y = 14

Hence, The value of two positive integers are 14 and 14.

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Answer:

Hey there!

a)

10x-1=4x+2

6x-1=2

6x=3

x=1/2 cm.

10x-1=4 cm.

So the width of the rectangle is 10/4, or 2.5 cm.

b)

l=3w

2l+2w=24

2(3w)+2w=24

6w+2w=24

8w=24

w=3

l=9

The are is 27 units squared.

Let me know if this helps :)

The additive inverse of a number is just the opposite of the given number. For example; 2 and the additive inverse is -2.

If we apply this to the number we are given, we get 19.57

Best of Luck!

Answer:

Step-by-step explanation:

(-1 - 1)/(4 - 3)= -2/1= -2

y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 7

Answer:

-2

Step-by-step explanation:

-1 -1

4-3  

-2/1= -2

Answer:

Martin ended up buying less grapes by buying the bigger bag.

Step-by-step explanation:

5 ⅔ + 5 ⅔ = 10 4/6

4 ⅕ + 4 ⅕ + 4 ⅕ = 12 3/15

Answer:D

Step-by-step explanation: hope this helps

Answer:

249.64285714 minutes

Step-by-step explanation:

Let

The number of minutes you talk = t

C1 = Cost in dollars of the first plan

C2 = Cost in dollars of the second plan

First plan

The first plan charges a rate of 22 cents per minute

Converting cents to dollars

100 cents = 1 dollars

22 cents =

22/100 cents

=$ 0.22

C1 = $0.22 × t

C1 = 0.22t

Second Plan

The second plan charges a monthly fee of $34.95 plus 8 cents per minute.

Converting cents to dollars

100 cents = 1 dollars

8 cents =

8/100 cents

=$ 0.08

C2 = $34.95 + 0.08t

Find the number of talk minutes that would produce the same cost for both plans

We would Equate C1 to C2

C1 = C2

0.22t = $34.95 + 0.08t

Collect like terms

0.22t - 0.08t = $34.95

= 0.14t = $34.95

Divide both sides by 0.14

= t = $34.95/0.14

t = 249.64285714

Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.

Answer:

My answer to the question is 3.745kg.

Option B

The required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.

Given that,
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms is to be determined.

A kilogram is the standard unit of measurement of weight.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
1 kilogram = 1000 gram
1 gram = 1 / 1000 kilogram
Multiply both side by 3,745
3,745 gram = 3,745 / 1000 kilogram
3,745 gram = 3.745 kilogram

Thus, the required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.

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Answer:

x-2

best of luck!

Answer:

15

Step-by-step explanation:

4-(-2)+3(3)

4+2+9

15

Steps to solve:

a - b + 3c; a = 4, b = -2, c = 3

~Substitute

4 - (-2) + 3(3)

~Simplify

4 + 2 + 9

~Add

6 + 9

~Add

15

Best of Luck!

Answer:

  c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

  a. This quadratic equation has exactly one real solution.

  b. This quadratic equation has two real solutions.

  c. This quadratic equation has two complex solutions.

  d. This quadratic equation has no solutions.

The one that is true is c: two complex solutions.

__

The discriminant of quadratic ax^2 +bx +c = 0 is ...

  d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

Answer:

1) $60

2) $45

3) 5 cupcakes ;; function for situation is 30(n)=3n+15

3A) No

3B) No

Step-by-step explanation:

the function is f(x)=3x+15 where x= cupcakes

To find total cost for 15 cupcakes, simply look at the graph or if you don't trust your eyeballing skills, you would calculate it by:

f(15)=3x+15 meaning plug 15 into the equation which equal $60

same for 10 cupcakes

f(10)=3(x)+15 equals $45

# of cupcake order for $30

using the graph we can see that for $30 we can purchase 5 cupcakes

the function for the situation is 30(n)=3n+15

A) No it would not make sense because after substituting 4 for the n, it does not equal to 30

B) Yes it would make sense because substituting 5.2 for n, it equal to $30.6 or $30

Answer:

6

Step-by-step explanation:

Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),

(-1.25, 0.25), and (1.25, 0.25)

The length L of the shape will be:

L = 0.25 - ( - 0.25 )

L = 0.25 + 0.25

L = 0.5

The width of the shape will be:

W = 1.25 - ( - 1.25)

W = 1.25 + 1.25

W = 2.5

Perimeter P = 2L + 2W

Substitute the Length and the width into the formula

P = 2(0.5) + 2(2.5)

P = 1 + 5

P = 6 metres

Therefore, the perimeter of the shape is 6 metres

Answer:

202 tickets for adults were sold and 70 tickets for children are sold.

Step-by-step explanation:

Solve this question using simultaneous linear equation.

•Let the number of tickets sold for adults be a

•Let the number of tickets sold for children be b

The question stated that 272 tickets were sold altogether. So:

[tex]a + b = 272[/tex]

Now, make sure that only one of the unknown values remain on the left hand side. For example:

[tex]a = 272 - b[/tex]

I will refer to the above equation as equation 1.

Now, the question also stated that the tickets sold $1694. This means that:

[tex]7a + 4b = 1694[/tex]

I will refer to this equation as equation 2.

Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:

[tex]7(272 - b) + 4b = 1694[/tex]

Then just solve the equation by finding the value of b.

[tex]7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70[/tex]

Lastly, find the value of a. Just take the value of b and then substitute into equation 1.

[tex]a = 272 - b \\ = 272 - 70 \\ a = 202[/tex]

Answer:

2. f(-7)= -3(-7)-2

     21-2

      =19

10. h(1)= | 1-7(1) |

     |-6|

     =6

11. h(-7) =|1-7(-7)|

    |1-49|

     |-48|

     =48

12. [23-h(9) =|1-7(-9)|]

      h(9) =|1-7(9)|

      |-62|

         23-62

              =39

Step-by-step explanation:

Answer:x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−3x=8−4x

4+−3x=8+−4x

−3x+4=−4x+8

Step 2: Add 4x to both sides.

−3x+4+4x=−4x+8+4x

x+4=8

Step 3: Subtract 4 from both sides.

x+4−4=8−4

x=4

Answer:

x=4

Step-by-step explanation:

4-3×=8-4x

4-8=-4x+3x

-4=-×

x=4

(both side have negative so you just cancel out the negative sign)

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

138 because take 6×8×.5×2 + 7×10×.5+ 7×8×.5 + 6×7×.5 to get 138 square neters

Answer:

  25, 31, 38

Step-by-step explanation:

The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.

Answer:

The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.

Answers: 25, 31

Hope that helps

Answer:

D

Step-by-step explanation:

Answer:

5x+56

Step-by-step explanation:

5x+8(5+2)

5x+8(7)

Answer:

-1/10

Step-by-step explanation:

Answer: m=  −1 /10

Step-by-step explanation:

2 m −5= 3 m +5  

2 m +−5= 3 m +5

Multiply all terms by m and cancel:

2+−5m=3+5m

−5m+2=5m+3(Simplify both sides of the equation)

−5m+2−5m=5m+3−5m(Subtract 5m from both sides)

−10m+2=3

−10m+2−2=3−2(Subtract 2 from both sides)

−10m=1

−10m

−10

=

1  −10

(Divide both sides by -10)

m=  −1  /10

Check answers. (Plug them in to make sure they work.)

m=

−1 /10

(Works in original equation)

m=  −1 /10

Answer:

Step-by-step explanation:

x^2 + 4x - 5 = 0

-4/2 + (sqrt(16 - 4(1)(-5)))/2

-2 + (sqrt(16+20)/2

-2 + (sqrt(36)/2

-2 + 6/2

-2 + 3

-2 + 3 = 1

-2 - 3 = -5

Answer:

x=5

Step-by-step explanation:

3(x−2)=9

Divide both sides by 3.

x-2=9/3

Divide 9 by 3 to get 3.

x−2=3

Add 2 to both sides.

x=3+2

Add 3 and 2 to get 5.

x=5

Answer:

5

Step-by-step explanation:

Answer:

18.19

Step-by-step explanation: hope this helps

Mean is when you sum up all the numbers in a data set and divide that sum with the total amount of numbers in the data set.

Median is the middle number of a data set.

Mode is the number that shows up the most in a data set.

Best of Luck!

Answer:

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers.

Step-by-step explanation:

i hope you get it.

Answer:

3.75

Step-by-step explanation:

Answer: 3.75

Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73