Suppose that the function g is defined, for all real numbers, as follows.
find g(-3) ,g(-1), g(1)

Answer:

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Step-by-step explanation:

Answer:

GCF: (x + 2)(9x + 6)

Step-by-step explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)  

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given:  9x(x + 2) + 6(x + 2)  

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12    ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).  

The amount in the account after 1 year is $2,040.00

The amount in the account after 2 years is $2,080.80

What is future value of a single cash flow?

The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.

The future value in this case can be determined as shown thus:

FV=PV*(1+r)^N

FV=unknown future value

PV=initial investment=$2000

r=interest rate=2%

N=years of investment , 1 and 2 years respectively

FV after one year:

FV=$2000*(1+2%)^1

FV=$2,040.00

FV after  two years:

FV=$2000*(1+2%)^2

FV=$2,080.80

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Full question:

Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.

Find the amount after one year. Find the amount after two years

Answer:  See below.

Step-by-step explanation:

We'll assume the top and bottom lines are parallel.  That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line.  The sum of angles 1 and 2 is also 90°.  The interior angles of a triangle must add to 180°. So far we have two:  90° and 60°.  The third must therefore be 30°(angle 2).  Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other.  Angle 1 must be (90°- angle 2), which makes it 60°.  

1.  60°

2. 30°

3.  120°

4.  60°

5.  90°

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

Answer:

A

-by-step explanation:

i have that exact question

Answer:

( -7, ∞)

Step-by-step explanation:

2(4x - 3) ≥ 5x - 27

8x - 6 ≥ 5x - 27

3x - 6  ≥ -27

3x ≥ -27 +6

3x ≥ -21

x ≥ -7

All numbers great than -7

Answer:

15/2= 7 1/2 =7.5

Step by step

Step 1 of 2: Add.

Add

5 and 2 over 165

2

16

+ 2 and 3 over 82

3

8

= 120 over 16

120

16

Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

5 and 2 over 165

2

16

= ( 5 × 16 ) over 16

5 × 16

16

+ 2 over 16

2

16

= ( 80 + 2 ) over 16

80 + 2

16

= 82 over 16

82

16

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 3 over 82

3

8

= ( 2 × 8 ) over 8

2 × 8

8

+ 3 over 8

3

8

= ( 16 + 3 ) over 8

16 + 3

8

= 19 over 8

19

8

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

82 over 16

82

16

+ 19 over 8

19

8

= ( 82 × 1 ) over ( 16 × 1 )

82 × 1

16 × 1

+ ( 19 × 2 ) over ( 8 × 2 )

19 × 2

8 × 2

= 82 over 16

82

16

+ 38 over 16

38

16

16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

82 over 16

82

16

+ 38 over 16

38

16

= ( 82 + 38 ) over 16

82 + 38

16

= 120 over 16

120

16

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

120 over 16

120

16

= 15 over 2

15

2

= 7 and 1 over 27

1

2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

120 over 16

120

16

= ( 120 ÷ 8 ) over ( 16 ÷ 8 )

120 ÷ 8

16 ÷ 8

= 15 over 2

15

2

8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

15 over 2

15

2

= 7 and 1 over 27

1

2

15 ÷ 2 = 7 remainder 1

Answer:

The answer is A.......

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.02 = _____ hundredths

Answer:

  1150 ft W 52° N

Step-by-step explanation:

There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.

Using West as the reference for angles measured clockwise (toward north), the final position is ...

  1000∠45° +200∠90° = 1150.149∠52.063°

__

You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).

  c² = a² +b² -2ab·cos(C)

  c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7

  c ≈ √1322842.7 ≈ 1150.149

The angle difference from 45°N can be found using the Law of Sines.

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°

This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.

Caroline's final position is 1150 W 52° N in relation to her home.

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 : -2/3

c = 16 . 3/-2

c = 8 . 3/-1

c = 8 . -3

c = -24

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 * 3/-2

c = -8 * 3

c = -24

The statement that is true about a rhombus that is not true about all parallelograms are as follows;

Diagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.

This is not true for parallelograms. The diagonal only bisects each other.

All sides are congruent for a rhombus .

This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.

The diagonal bisect the vertex angles of the rhombus.

This is not true for a parallelogram.

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Answer:

there is no y axis because the term is kept in second of y and if that is negative then only y axis will there otherwise there will no y axis

The ordered pair represents the reflection of the point (−2,3) over the y-axis is (2, 3)

A reflection of a point in the axes involved reflecting the image over the axes to create a mirror image.

Given that, a point is (-2,3) is being reflected over y-axis,

Rule of reflection over y-axis is, A(x, y) ↔ A'(-x, y)

Therefore, applying the rule to (-2,3):

(-2,3) ↔ (2, 3)

Hence, the reflected point is (2, 3)

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Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

3x+15-3=6x+2-3x

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Answer:

23/25

Step-by-step explanation:

(25x+20)/25x+3x/25x

20+3/25=23/25

28x+20

Step-by-step explanation:

[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]

Answer:

(x+1) (7x - 4)

Step-by-step explanation:

7x² + 3x - 4

Use the diamond...

7 times -4 equals -28 and 7 plus -4 = 3

Use factor by grouping b/c a does not equal 1

7x² + 7x - 4x - 4

7x(x + 1) -4(x + 1)

(x+1) (7x - 4)

Answer:

24

Step-by-step explanation:

75 x .32 = 24

Answer:

32 percent of 75 is 24

Answer: x/9

Step-by-step explanation: quotient means to divide. X is the unknown number and we divide this by 9.

Answer:

Median: 9

Mode: 10

Range: 4

Step-by-step explanation:

Median

Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9

Mode

it's the number that occurs the most number of times, which is 10.

Range

Range is 10-6, so it's 4.

A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean, median and range of the given data set 6, 8, 10, 10 is,

Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.

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Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

[tex]f(g(x))=\sqrt{(7x+b)}[/tex]

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]

Therefore, the value of b is equal to 8.

Answer:

Step-by-step explanation:

The graph increasing over the given entire interval: -3 < x < 0.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=2x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

Here, we have,

For the given example: m=2 and b=5.

A function can be classified as:

  increasing - when the values of y increase with the increasing of x-values

  decreasing - when the values of y decrease with the increasing of x-values

The question gives the entire interval where the function increases. Thus, from the graph is possible to see that the function increases when x is between –3 and 0 because the values of y increase with the increasing of x-values.

Hence, The graph increasing over the given entire interval: -3 < x < 0.

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complete question:

This shows a graph.

For which choice is the graph increasing over the entire interval?

0 < x < 2

2 < x < 4

-3 < x < 0

-3 < x < 4

For which choice is the graph increasing over the entire interval?

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

Answer:

NG≅GF

Step-by-step explanation:

Since the side has to be in between the two angles so it from a ASA

The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

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