simultaneous equation
2x+y=7
x-y=2
answer?

Answer:

  a) 9^2

  b) 9^(1/2)

  c) 9^(3/2)

Step-by-step explanation:

It is perhaps easier to start by using 3^n.

  3 = 3^1

  27 = 3^3

  81 = 3^4

Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).

a) 81 = (9^(1/2))^4 = 9^2

b) 3 = 9^(1/2)

c) 27 = (9^(1/2))^3 = 9^(3/2)

Answer:

(a) 9^2

(b) 9^0.5

(c) 9^1.5

Step-by-step explanation:

We need to find n such that 9^n = value indicated.

Recall that n=2 is a square, so

(a) 9^2=9*9=81

Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so

(b) 9^0.5 = 3, because 3*3 = 9

Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).

Therefore,

(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

Answer:

The answer is "a disproportionate number of male leaders".

Step-by-step explanation:

Inside the event of study on styles of leadership within upper management, this excess of males threatens objectivity as a consequence of the random sample of typical US companies. This disproportion number of men were. The one method we can solve this issue is by randomly specific release to conditions. So we may divide our hundred people into 2 categories and claim.

Answer:

Step-by-step explanation:

Looking at the tables, we observe that:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

38.6 sq ft

Step-by-step explanation:

This composite figure consists of a trapezoid and a triangle on top

A(trapezoid) = 1/2h(sum of bases)

= 1/2(3.6)(7+9)

= 8(3.6)

= 28.8

A(triangle) = 1/2bh

base = 7

height = 6.4-3.6 which is 2.8

A = 1/2(7)(2.8)

= 3.5(2.8)

= 9.8

28.8 + 9.8 = 38.6

Answer:

C' (- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (3, 2 ) → C' (- 3, 2 )

Answer:

a is -1

b is 31

c is 7

Step-by-step explanation:

-x^2+31x+1=0

ax^2+bx+c=0

Answer:

solved graphically,

it's just the point where the two lines intersect

Answer:

x = -8, y = 6

Step-by-step explanation:

x + 2y = 4 ------(1)

x + y = - 2

y = - x - 2 ----------(2)

Substitute y in (1)

x + 2(- x - 2) = 4

x - 2x - 4 = 4

- x = 4 + 4

x = -8

Substitute x in (2)

y = - (- 8) - 2 = 8 - 2 = 6

Answer:

the temperature is above zero

Step-by-step explanation:

hope it helps

Answer:2x>3

Step-by-step explanation:

2

>

3

3

+

6

<

1

2

4

2

>

1

2

Answer:

may be the answer is g(4a)

Step-by-step explanation:

g(4a) = 2/(4a +3)

't' is replaced by '4a'.

(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is d

b/c when you see the parabola lie in -3<x>1

it is down ward because the function is negative

Answer:

.7 or 7/10

Step-by-step explanation:

buddy+teddy:2.9

socko+peanut:2.2

2.9-2.2=.7

Answer:

A. AB≈ DE

is the answer to this question

Answer:

200

Step-by-step explanation:

Answer:

The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].

Step-by-step explanation:

The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:

[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)

Where:

[tex]a_{o}[/tex] - Initial output.

[tex]x_{o}[/tex] - Initial input.

[tex]x[/tex] - Input

[tex]f(x)[/tex] - Output

If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:

[tex]f(x) = 15\cdot 2^{x+1}[/tex]

Answer:15

Step-by-step explanation:

Answer:

A = 388.58 cm^2

Step-by-step explanation:

For a cone whose base has a radius R, and a hypotenuse S, the area is:

A = pi*R^2 + pi*R*S

Where pi = 3.14

In this case, we can see that the diameter is: 15cm

Then the radius, half of the diameter, is:

R = 15cm/2 = 7.5cm

The hypotenuse is 9cm, then S = 9cm

A = 3.14*(7.5cm)^2 + 3.14*(9cm)*(7.5cm) = 388.575 cm^2

Rounding to two decimal places, we need to look at the third one, which is a five, so we need to round up:

A = 388.58 cm^2

Step-by-step explanation:

a) the ratio between their altitudes = 3:5

b) the ratio between their base areas = 9:25

c) the ratio between their lateral edges = 3:5

d) the ratio between their volumes = 27:125

e) the ratio between their lateral areas =9:25

Given:

Consider the below figure attached with this question.

To find:

The conclusion that can be determined from the dot plot.

Solution:

The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.

The data set represented by the dot plot is:

2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6

Number of observations is 15, which is an odd number. So, the median of the data set is:

[tex]Median=\dfrac{15+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{16}{2}\text{th term}[/tex]

[tex]Median=8\text{th term}[/tex]

[tex]Median=4[/tex]

The median of the data set is 4. So, option A is incorrect.

Mean of the data set is:

[tex]Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]

[tex]Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}[/tex]

[tex]Mean=\dfrac{60}{15}[/tex]

[tex]Mean=4[/tex]

The mean of the data set is 4. So, option B is incorrect.

The range of the data set is:

[tex]Range = Maximum - Minimum[/tex]

[tex]Range = 6-2[/tex]

[tex]Range = 4[/tex]

The range of the data set is 4. So, option C is incorrect.

Therefore, the correct option is D.

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]  = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{7}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 44.42° ( to the nearest hundredth )

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

Answer:

[tex] {5}^{2x + 1} \div 25 = 125[/tex]

[tex] {5}^{2x + 1} \div 5² = 5³[/tex]

doing crisscrossed multiplication

[tex] {5}^{2x + 1}=5³×5²[/tex]

In multiplication common numbers is added

[tex] {5}^{2x + 1}=5^{3+2}[/tex]

If there is a same term than it can be add ,subtract .

;.

2x+1=5

2x=5-1

x=[tex] 4\div 2 [/tex]

x=2 is a required answer.

Answer:

last set

Step-by-step explanation:

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

Answer The last set

:

Step-by-step explanation:

Answer:

B, B, C, and im not sure about the last one

Step-by-step explanation:

Answer:

yes  The area of a triangle is b x h / 2 (base times height divided by 2)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{\frac{b*h}{2}}[/tex]

You should be correct.  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a triangle:}}\\\\A = \frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\rightarrow \text{B - Base}\\\\\rightarrow \text{H - Height}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.