Expand 3(c + 3).
3(c + 3) =

Answer:

y = square root x2 - 5

Step-by-step explanation:

y=[tex]\sqrt{x} -5[/tex]

(the top option)

Answer:

The picture is the answer

Step-by-step explanation:

Answer:

y-acis

Step-by-step explanation:

the function graph is symmetric about

- y-axis when it is an even function

-the origin ehen it is an even function

A symmetrical graph about the x-axis is not a function graph

f(×) is a even if and only if f(×) =f(×)

f(×) is a odd if and only f(×)=f(×)

We have the function r(0) = 4cos (50)

(only symmetry about the y-acis or about the origin)

Check r(-0)

r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)

Used cos (-× = cos ×

We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.

Answer:

[tex]\frac{x}{x-1}[/tex]

Step-by-step explanation:

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

[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex]                        [tex][\ Taking \ LCM \ ][/tex]

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

Finding LCM :

Example :

                 [tex]\frac{1}{6} + \frac{1}{3}[/tex]

6 = 2  x   3

3 = 1   x   3

                [tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 [tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       [tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]

Answer:

Problem 1: 25

Problem 2: 693

Step-by-step explanation:

Problem 1:

f(x) = -5n + 1

g(x) = -6n + 2

(f + g)(-2) = f(-2) + g(-2)

f(-2) = -5(-2) + 1

f(-2) = 10 + 1

f(-2) = 11

g(-2) = -6(-2) + 2

g(-2) = 12 + 2

g(-2) = 14

(f + g)(-2) = 11 + 14

(f + g)(-2) = 25

Problem 2:

f(x) = 7 + 2x

g(x) = 5x - 2

fg(7) = f(7) × g(7)

f(7) = 7 + 2(7)

f(7) = 7 + 14

f(7) = 21

g(x) = 5(7) - 2

g(x) = 35 - 2

g(x) = 33

Therefore:

fg(7) = 21 × 33

fg(7) = 693

Answer:

It will still be 9.  y=9 is a horizontal line.  No matter the x value, the answer will be the same.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

"must be used first" is a very hard phrasing. multiplication is commutative.

and I am not sure that the problem is stated correctly.

I read here

(i×y²) to the power of 1/3.

i is the imaginary constant sqrt(-1) ?

exponents brought themselves to the power of something else multiply.

e.g.

[tex]({2}^{3})^{4} = {2}^{12} [/tex]

exponents in multimedia expressions of the same base simply add up.

e.g.

[tex] {2}^{3} \times {2}^{4} = {2}^{7} [/tex]

a negative exponent means that the expression with the same positive exponent is just at the bottom of a division.

e.g.

[tex] {2}^{ - 3} = 1 \div {2}^{3} [/tex]

and a fraction as exponent specifies a root to be taken.

e.g

[tex] {2}^{1 \div 3} = \sqrt[3]{2} [/tex]

so, I would do all the exponent multiplications to simplify the expression.

[tex] \sqrt[3]{i \times {y}^{2} } = ({i \times {y}^{2} })^{1 \div 3} = [/tex]

[tex] = ( { - 1}^{1 \div 2} \times {y}^{2} ) ^{1 \div 3} [/tex]

1/2 × 1/3 = 1/6

2 × 1/3 = 2/3

[tex] = { - 1}^{1 \div 6} \times {y}^{2 \div 3} = \sqrt[6]{ - 1} \times \sqrt[3]{ {y}^{2} } [/tex]

so, as we can see, we can move freely from multiplying the fraction exponents to converting them into root expressions and vice versa.

Answer:

1)

[tex]808.48 \: cubic \: meter[/tex]

2)

[tex]104 \: shiling[/tex]

3)

[tex]14cm[/tex]

Step-by-step explanation:

Length = 16.3m

breadth = 8m

height = 6.2m

volume= Lbh

=(16.3×8×6.2)m

= 808.48 cubic meter

Answer:

measure of angle GEO.....

Answer:

3.0019009e+15

Step-by-step explanation:

the word and is multiplication so multiply the two numbers

Answer:

3.001900896*10^15 is the answer

Answer:

Step-by-step explanation:

[tex]6\sqrt{20} + 8\sqrt{5} -5\sqrt{45}[/tex]

[tex]12\sqrt{5} + 8\sqrt{5} -15\sqrt{5}[/tex]

[tex]5\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

I imagine that you are simplifying this, since there is nothing else you can do with it. You are in the section in algebra where you're learning how to simplify radicals. ALWAYS think prime factorization when it comes to numbers. For example, the square root of 5...the prime factorization of 5 is simply 5 * 1. So we know that √5 is as simple as it can be. It would benefit us if we could simplify either of the other 2 radicals down to the same radicand so we could add or subtract them.

The prime factorization of 20 is

20--> 5   *   4

                  4--> perfect square (2×2). So the simplification of 6√20 is 6×2√5 which is 12√5.

The prime factorization of 45 is

45--> 5   *   9

                   9--> perfect square (3×3). So the simplification of 5√45 is 5×3√5 which is 15√5.

Put it all together to get

12√5 + 8√5 -15√5 which simplifies to

5√5

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

Answer:

Graph the system on linear equations.

Step-by-step explanation:

(-4, 4) & (-4, -6)

Step-by-step explanation:

by referring to the diagram,

a = 8

Answer:

Options (3) and (5)

Step-by-step explanation:

Option (1)

f(x) = x² + 7x - 2

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 2

     = (x + 3.5)² - 14.25

Therefore, vertex of the graph → (-3.5, -14.25)

And the graph will open upwards.

Range of the function → [-14.25, ∞)

Option (2)

f(x) = -(x + 1)² - 4

Since, leading coefficient is negative, curve of the function will open downwards.

Vertex → (-1, -4)

Range of the function → [-4, -∞)

Option (3)

f(x) = -4x + 11

This function is defined for all real values of x.

Range of the function → (-∞, ∞)

Option (4)

f(x) = [tex]2^{x+3}[/tex]

Range of this exponential function → (0, ∞)

Option (5)

f(x) = [tex]\frac{2}{3}x-8[/tex]

Function is defined for all real values of x.

Range of the function will be (-∞, ∞)

Therefore, Options (3) and (5) are the correct options.

Answer:

16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940

Step-by-step explanation:

Answer:

Option B:10 glasses of lemon juice and 5 glasses of water

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

Answer:

$34,341

Step-by-step explanation:

Given :

Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%

To obtain the best value for the mean salary ; we obtain the weighted average ;

Σ(salary * weight factor) / Σ weight

[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)

= 34341.34 / 1

Average salary = 34341.34

= $34,341 ( nearest dollar)

Answer:

y >= x/2 - 1

Step-by-step explanation:

the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form

y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.

Answer:

integers are { 3 , 4 , 5 }

Step-by-step explanation:

- 1 < 2x - 5 ≤ 5

- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5                           [ adding by 5 ]

4 < 2x + 0 ≤ 10

4 < 2x ≤ 10

2 < x ≤ 5                                                     { divide by 2 ]

Therefore, integers are { 3 , 4 , 5 }

Answer:

stars: triangles

3  : 1

Step-by-step explanation:

There are 3 starts and 1 triangle

stars: triangles

3  : 1

Answer:

3:1

Step-by-step explanation:

3 Stars and 1 Triangle

From the graph it seems to be around the area of 10%.

So,

18,000 * 0.10 = $1,800

Answer:

The range of the following relation is(-5,2,-4)

Answer:

Hence, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above. So after the 2 moves, he is up by [tex]4\frac{1}{4}[/tex] meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and  "positive" as climbing up. Here we need to find the change in elevation.

Now we have:  

[tex]=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}[/tex]

Answer:

b

Step-by-step explanation: