translating verbal expressions: 3 less than the square of a number p​

Answer:

[tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]

Step-by-step explanation:

We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).

Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

However we can solve for " b " instead, using c. Take a look at another major formula below,

c^2 = a^2 - b^2,

(3)^2 = (5)^2 - b^2,

9 = 25 - b^2,

- b^2 = 16,

b = 4 = - 4

Whether b = - 4 or b = 4, or equation will be the same.

(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,

x^2 / 25 + y^2 / 16 = 1

Our solution is hence option number 1 : [tex]\frac{x^2}{25}+\frac{y^2}{16}=1[/tex]

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Answer:

x=1

Step-by-step explanation:

First you distribute the 3 to 5x and 1 to get 15x+3=18x

Then you subtract 15x from 18x and get 3x

Lastly you divide 3 by 3 to separate the 3 and x and get x=1.

Answer:

x=30

Step-by-step explanation:

          3

Simplify   —

           5

 3          

 (— • x) -  18  = 0  

  5          

STEP

  Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         18     18 • 5

   18 =  ——  =  ——————

         1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 5)     3x - 90

—————————————  =  ———————

      5              5  

Pull out like factors :

  3x - 90  =   3 • (x - 30)

 3 • (x - 30)

 ————————————  = 0  

      5      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-30)

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-30)  = 0

Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

  Solve  :    x-30 = 0  

Add  30  to both sides of the equation :  

                     x = 30

One solution was found :

x = 30

Answer:

(z-9)(z+9)

Step-by-step explanation:

z²-81

(z-9)(z+9)

Answer: actually I'm a 13 year old child but still I will answer right. so lets start okay. first step for me is to add 1/4+1/3 = lcm of 1/4+1/3is 12 so then total will be 7/12 then we will. 7/12of18 maybe and answer is 21/2

Answer:

If half the students scored 42 and some scored 53, the median must be (53 + 42)/2 = 47.5.

If the other half all scored 53, the mean would be the same, but the few 78s is going to raise the mean.

The mode is 42.

i hope it helps you

The mean is greater than the median. Then the correct option is B.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

In a mathematics class, half of the students scored 42 on an achievement test.

With the exception of a few students who scored 78, the remaining students scored 53.

We know that if the half of data is the same and the remaining data is greater than that data.

Then the mean is greater than the median.

Then the correct option is B.

The complete options of the question is attached below.

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Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Answer:

$3.07

Step-by-step explanation:

Ms. Gantt has a $15 gift card to Starbucks.

She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3

2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58

and a juice for $3.05. = 1 × 3.05 = $3.05

Now,

$15 - $5.3 - $3.58 - $3.05 = $3.07

Thus, $3.07 remains on her gift card

Answer:

21

Step-by-step explanation:

21_++_+_+

Answer:

21

Step-by-step explanation:

Answer:

[tex]12^{12}[/tex]

Step-by-step explanation:

Using exponent rules, we know that:

[tex]x^a \div x^b = x^{a-b}[/tex].

Since we are dividing [tex]12^{16}[/tex] by [tex]12^4[/tex], then simplified, this totals out to [tex]12^{16-4}[/tex] or [tex]12^{12}[/tex].

Hope this helped!

Answer:

[tex]12^{12}[/tex]

Step-by-step explanation:

[tex]\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

Answer:

x=4

Step-by-step explanation:

x-8= x/2 -x-6/3

x-8=x/2-x-2

x-8=-x/2-2

1.5x-8=-2

1.5x=6

x=4

Answer

D) the state

I took on Test:))))))

In a communist command economy, workers are employed by the state. Hence, option D is correct.

A command system, usually referred to as communism, is an economic system in which the government controls the majority of the factors of production, decides how resources will be distributed, and determines what goods and services will be offered. Karl Marx and Frederick Engels were the principal architects of communist theory.

A communist political system includes a command economy, whereas capitalist countries have a free market. A command economy might take the form of socialism or communism. In all three, the government is in charge of the nation's enterprises, resources, and economic activities.

Thus, option D is correct.

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Answer: 29 d + 39

Step-by-step explanation:

Given :  The deli sold, 13d+25 of the Turkey Waldorf Wraps and 16d+14 of the Triple-Decker Chicken Wraps.

Then, the total amount of wraps sold will be

13d+25 + 16d+14

Simplify

13d+16d+25+14   [add like terms]

= 29 d + 39

Hence, the polynomial expression that represents the total amount of wraps sold is  29 d + 39.

Answer: 200 literes will be used in an hour

Step-by-step explanation:

1. 150 divided by 45 mins = 3.3 recurring

2. 3.3 recurring times 60 ( 60 mins in an hour) = 200

The amount of the petrol will be consumed in one hour will be 200 liters.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A car uses 150 liters of petrol in 45 minutes.

Then the rate at which the amount of petrol is consumed in liters per minutes will be

⇒ 150 / 45

⇒ 10 / 3  Liters per minutes

We know that there are 60 minutes in one hour.

Then the amount of the petrol will be consumed in one hour will be

⇒ (10 / 3) x 60

⇒ 10 x 20

⇒ 200 liters

Thus, the amount of the petrol will be consumed in one hour will be 200 liters.

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Answer:

2 is scalene

3 is obtuse

4 is isosceles

Step-by-step explanation:

Answer:

Hey there!

(2, 2) and (4, 4) represent a proportional relationship.

Let me know if this helps :)

Answer:

2700 square inches

Step-by-step explanation:

Given a rectangular barn door with dimensions:

The area of front side of the door is:

Answer:  B and C.

Step-by-step explanation:

A function will have an inverse, only and only if every value of y can be linked to only one value x.

A) Here we have an absolute value:

We know that for example:

I5I = 5 and I-5I = 5.

Then an absolute value function can not have an inverse function.

B) one way of having a function that is invertible or not, is see if the function is increasing or decreasing.

If a function is, for example, increasing, then as the value of x increases, also does the value of y.

Then we will never see that a single value of y is related to two or more different values of x.

Then an exponential function, which is an increasing function, will have an inverse that is also a function.

C) A cubic function that has a root in (0,0)

The cubic function that has only one root at x = 0 is the function:

f(x) = a*x^3 + b*x

where a and b are real numbers of the same sign.

Now, we can see at the first derivate of f(x) to see if it is strictly increasing or strictly decreasing.

f'(x) = 3*a*x^2 + b

Ok, as x^2 is always positive, we can know that the sign of f'(x) will always be the same, so this function is strictly increasing or strictly decreasing (it depends on the signs of a and b).

Then this function has an inverse that is also a function.

Answer:

b and c

Step-by-step explanation:

got a 100 on edge2020. I hope this helped!

Answer:

A and D

Step-by-step explanation:

You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.

Answer:

s = 5/6, s = 3

Step-by-step explanation:

(6s - 5)(s - 3) = 0

Solving for s:

1. ...........

2. ...........

Answer:

x=7

Step-by-step explanation:

3/4(x+21)=10 1/2

3/4x+63/4 = 21/2

3/4x= 21/2-63/4

3/4x= -21/4

x= (-21/4)/(3/4)

x= (-21/4)x(4/3)

x= -84/12

x=-7

The equation for x is -7 .

To find the equation for x.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

The equation are

3/4(x+21)=10 1/2

3/4x+63/4 = 21/2

3/4x= 21/2-63/4

3/4x= -21/4

By cross multiplication

x= (-21/4)/(3/4)

Reverse the numerator and denominator

x= (-21/4)x(4/3)

x= -84/12

x=-7

So, the equation for x is -7 .

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Answer:

If you mean only one rational solution, the answer is

[tex]k_1 = 8, k_2 = -8[/tex]

If you mean at least 1 rational solution, the answer is

[tex]k\in (-\infty, -8]\cup[8, \infty)[/tex]

Step-by-step explanation:

[tex]4x^2 + kx + 4 = 0[/tex]

Let's calculate the discriminant.

[tex]\Delta = b^2 - 4ac[/tex]

[tex]\Delta = k^2 -4 \cdot 4 \cdot 4[/tex]

[tex]\Delta = k^2 -64[/tex]

Now, remember that:

[tex]\text{If } \Delta > 0 : \text{2 Real solutions}[/tex]

[tex]\text{If } \Delta = 0 : \text{1 Real solution}[/tex]

[tex]\text{If } \Delta < 0 : \text{No Real solution}[/tex]

Therefore, I will just consider the first two cases.

[tex]k^2 - 64 > 0[/tex]

and

[tex]k^2 -64 = 0[/tex]

[tex]\boxed{\text{For } k^2 - 64 > 0}[/tex]

[tex]k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64} \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)[/tex]

[tex]\boxed{\text{For } k^2 - 64 = 0}[/tex]

[tex]k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8[/tex]

Answer:

3.5

Step-by-step explanation:

b divided by 10 is A

35 divided by 10 is 3.5

Answer:

We are to find x and y in this equation.

5x+4y= -20.

- 5x+12y= -10.

which is y=5/4 or 1.25.

then substitute y=1.25 into eqtn I.

5x+4(1.25)=-20.

5x+5= -20.

5x=-20-5.

5x= -25.

x= -5.

Answer:

8: when they added -4x and 8x they didn't carry the negative

9: You add -18x and 5x              -13x - 12 = 1

Answer: 4°F

Step-by-step explanation:

8-4=4