3x+1=43 but you have to regroup/ divide the number next to x

Answer:

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

Hence the amount Mr Noel originally borrow is $400

Answer:

-1

Step-by-step explanation:

If i = √-1, then i^2 = -1.

Answer:

3x + 8

Step-by-step explanation:

Number: x

Three times a number: 3x

Eight increased by three times a number: 3x + 8

Answer:

[tex]\huge\boxed{ 8 + 3x}[/tex]

Step-by-step explanation:

Let the number be x

So, three times x will be => 3x

Increases by 8 means adding 8 So, the final expression will be:

=> 8 + 3x

Answer:

The similarities are;

1) The tangent slope of the tangent graph and the cotangent graph are always the same sign through out

2) The period of each trigonometric ratio cot and tan is π/2

The differences are;

1) The sign of tangent function always positive while that of the cotangent function always negative

2) Where the value of cot x ranges from undefined to 0, the value of tan x ranges from 0 to undefined in the same domain

Step-by-step explanation:

Answer: p= 1/7

Step-by-step explanation:

5/7=p+4/7

-p=4/7-5/7

-p=-1/7

P=1/7

Answer:

Commutative Property

Step-by-step explanation:

-8+8 = 0

0 = 0

Answer:

Step-by-step explanation:

3x - 5 is f^(-1) (x) = (1 / 3) x + (5 / 3), which is a linear expression.

Answer:

10 times

Step-by-step explanation:

Since the leftmost value is called ones place.

the second leftmost value is called tens place.

the third leftmost value is called a hundred place.

the fourth leftmost value is called a thousand place and so on.

So, The value of 4 in 4,735 is 4 thousand = 4,000

and the value of 4 in 6,412 is 4 hundred = 400.

Hence, the value of the 4 in 4,735 is 10 times the value of the 4 in 6,412.

Answer:

10 times greater.

Step-by-step explanation:

4 in 4735 has a values of 4000.

In 6412 it has a values of 400.

Answer:

3h+7/h

Step-by-step explanation:

the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.

so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!

then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!

Answer:

x > 11

Step-by-step explanation:

15 < 4 + x

Subtracting 4 from both sides (to get rid of the 4 on the right side) gives us:

15 - 4 < 4 + x - 4

11 < x

Answer:

x>11

Step-by-step explanation:

15<4+x

Simplify both sides of the inequality.

15<x+4

Flip the equation.

x+4>15

Subtract 4 from both sides.

x+4−4>15−4

x>11

Answer:

It helps because it gets you thinking. Personally, it would motivate me because that process itself is very helpful. Brainstorm will get you your idea, you can decide if you want to do it or not, then you work on it, and because you have the right attitude towards whatever you are working on, you'll enjoy it!

Answer:

Total income = 27 [tex]\times[/tex] 25 + 14% of $1000= $815

Step-by-step explanation:

Number of hours for which Johnathan worked = 25

Salary for each hour = $27

So, income for 25 hours = 25 [tex]\times[/tex] 27 = $675

Now, it is given that he has sold 25 items.

Sales made beyond the 20 items = $1000

Additional income for additional sales = 14% on each set of 5 items

He has sold exactly 5 additional items that means 1 set of 5 additional items.

So, Additional income for additional sales = 14% [tex]\times[/tex] 1000 = $140

Therefore, total income of this week = Income for 25 hours + Income due to additional sales of 5 items

Therefore Total income = 27 [tex]\times[/tex] 25 + 14% of $1000= $815

Answer:

13 th and 14 th

Step-by-step explanation:

Since the line divides the cup into one - eighth

Thus a measurement of 1 3/4

The number of 1/8th's obtainable from 1 3/4 :

1 3/4 = 7/4

7/4 divided by 1/8th

7/4 ÷ 1/8

7/4 × 8/1

= 56/4 = 14

14 gives the upper limit of the line starting from the bottom, Therefore, a measurement of 1 3/4 should be between the 13 th and 14 th line. Since the bottom of the cup will have no line.

Answer:

Step-by-step explanation:

[tex] \mathsf{2 \frac{3}{8} }[/tex]

Convert mixed fraction to improper fraction

⇒[tex] \mathsf{ \frac{2 \times 8 + 3}{8} }[/tex]

⇒[tex] \mathsf{ \frac{16 + 3}{8} }[/tex]

⇒[tex] \mathsf{ \frac{19}{8}} [/tex]

Calculate

⇒[tex] \mathsf{2.375}[/tex]

Learn more:

How to convert mixed fraction into improper fraction?

https://brainly.com/question/11500334

Hope I helped!

Best regards!

Answer:

no solution

Step-by-step explanation:

|m|/2 -1=-3

step 1= |m|/2=-3+1

step 2=|m|/2=-2

Step 3: Solve Absolute Value.

  |m|=−4

No solutions. (Absolute value cannot be less than 0.)

Greetings,

I hope you and your family are staying safe and healthy!

Answer: No Solution

Step-by-step explanation:

[tex]\frac{|m|}{2} - 1 = -3\\\\\frac{|m|-2}{2} = -3\\\\[/tex]

Alternate forms assuming m > 0

[tex]\frac{m}{2} -1 = -3\\\\\frac{m-2}{2} = -2[/tex]

[tex]\frac{\sqrt{m^2} }{2} - 1 = -3[/tex]

Therefore,

No solutions exist.

I guaranteed correct answers only. Please kindly rate my answer and press the heart. Thanks!

Answer:

Hey there!

3x-9=12

3x=21

x=7

Let me know if this helps :)

Answer:

Step-by-step explanation:

[tex]3x - 9 = 12 \\ collect \: like \: terms \\ 3x = 12 + 9 \\ 3x = 21 \\ divide \: both \: sides \: by \: 3[/tex]

[tex] \frac{3x}{3} = \frac{21}{7} \\ x = 7[/tex]

Answer:

y ≥ 2

Step-by-step explanation:

The range is all of the values that f(x) can have. In order to find the range, let's first find the vertex. That's pretty easy to do since f(x) is already written in vertex notation (vertex notation is f(x) = a(x - c)² + d where (c, d) is the vertex). Since c = -5 and d = 2, the vertex is (-5, 2). Because the value of a is positive (a = 3 in this case, which is positive) we know that the parabola opens upward, therefore the vertex is the minimum. This means that the y-coordinate of the vertex is the smallest possible y-value of the function, therefore, since the y-coordinate of the vertex is 2, the range is y ≥ 2. Note that we use ≥ and not >, this is because y can be 2, therefore, it is included in the solution set.

Answer:

Hey there!

First, we must understand what range is. Range is just another word for all the possible y values of the equation.

This equation, f(x) = 3(x+5)² +2 is in vertex form. We see that this creates a parabola with a vertex at (-5, 2) and opens up.

Thus, the range of this graph would be: [2,∞) in interval notation. Note, the [ is used for greater than or equal to, or less than or equal to, and the ")" is used for less than or greater than.

We use ) for ∞, because ∞ is just a concept, not a real number.

Finally, all functions are defined for all values of x means that this is an f(x) function, and the f(x) is equal to something that can be written in terms of x.

Let me know if this helps :)

Answer:

The point is NOT on the line.

Step-by-step explanation:

Step 1: Write out equation

y = -x + 3

Step 2: Define point

A(6, 3)

x = 6, y = 3

Step 3: Plug in coordinates

3 = -(6) + 3

3 = -6 + 3

3 ≠ -3

Answer:

(6, 3 ) is not on the line

Step-by-step explanation:

Substitute x = 6 into the right side of the equation and if the value is equal to the y- coordinate of the point, then it is on the line

y = - 6 + 3 = - 3 ≠ 3

Thus (6, 3 ) is not on the line

Answer:

A kite

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral are;

A(2, 3), B(4, 6), C(8, 9), and D(5, 5), therefore,  the length of the sides of the quadrilateral can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

(x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints on the side

For side AB, we have;

[tex]l_{AB} = \sqrt{\left (6 - 3 \right )^{2}+\left (4-2 \right )^{2}} = \sqrt{13}[/tex]

The slope = 1.5

For side BC, we have;

[tex]l_{BC} = \sqrt{\left (9 - 6 \right )^{2}+\left (8-4 \right )^{2}} = 5[/tex]

The slope = 3/4

For side CD, we have;

[tex]l_{CD} = \sqrt{\left (5 - 9 \right )^{2}+\left (5-8 \right )^{2}} = 5[/tex]

The slope = 4/3

For side DA, we have;

[tex]l_{DA} = \sqrt{\left (3 - 5 \right )^{2}+\left (2-5 \right )^{2}} = \sqrt{13}[/tex]

The slope = 2/3

Angle ADC = Actan (2/3 - 4/3)/(1 + 2/3*4/3) = -19.44 = 180-19.44 = 160.55°

Angle ABC = Actan (0.75 - 1.5)/(1 + 0.75*1.5) = -19.44 = 180-19.44 = 160.55°

Therefore, given that the quadrilateral has two pairs of equal adjacent sides and the angles are equal at the meeting point of the two squares, it is best described as a kite.

Answer:

The correct option is;

d. 130·(60·h)+2000 = 43000

Step-by-step explanation:

The volume of water held by a pool at Sapphire island = 43,000 gallons

The volume of water the pool currently holds = 20,000 gallons

The rate at which the pool is being filled = 130 gallons/minute

The equation to find h, the number of hours it will take to fill the pool from its current level can be written as follows;

The rate at which the pool is being filled in gallons per hour = 130 × 60 gallons/hour = 7800 gallons/hour

We have;

The volume of water pumped in h hours = (130×60) gallon/hour × h hour =  130×60×h gallons

Whereby we want the total volume of water in the pool to be 43,000 gallons, we add the volume of water obtained from pumping for hours to the volume of water already in the pool, to get 43,000 gallons as follows;

130×60×h gallons + 20,000 gallons = 43,000 gallons

Therefore, the correct option is 130·(60·h)+2000 = 43000.

Answer:

Y' = -xsin(2x) + 2cos(2x)

Step-by-step explanation:

For this problem, we will need to use the product rule since you have two terms that contain the variable x.

The product rule is simply as follows:

The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.

Note the derivative of 2x with respect to x, is 2.

Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).

With this in mind, let's find the derivative of our function with respect to x.

Y = 2xcos2x

Y = 2x * cos(2x)

Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)

Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)

Y' = (-x)sin(2x) + 2cos(2x)

So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.

Cheers.

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

I'm sure you meant "percent," not "present."

If 25% of the square is shaded, then the percent that is not shaded is 75%.

Answer:

1:4

Step-by-step explanation:

Find the ratio of corresponding sides

[tex]\frac{10}{40}=\frac{1}{4}\\\\\\\frac{11}{44}=\frac{1}{4}\\\\\\\frac{18}{72}=\frac{1}{4}\\\\\[/tex]

Scale factor:

1:4

Answer:

4
To find the scale factor, we need to know what number we multiply each side length in Figure AAA by to get the corresponding side length in Figure BBB.

Let's see how the corresponding sides relate:

10×4

11×4

18×4

​

=40

=44

=72

​

5 / 4 =1.25PER LB

1.25 x 6 =7.5

Answer:

Step-by-step explanation:

An absolute value function f when stretched or shrink vertically,

1). If a function f(x) = |x| is stretched vertically by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where k > 1]

2). If the same function is vertically compressed by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where 0 < k < 1]

Following these rules we can define a vertical stretch or compression of any function.

Answer:

C. 65

Step-by-step explanation:

By the property of intersecting chords inside a circle.

[tex] TW\times WU = CW\times WV[/tex]

[tex] 14\times (2x + 2)= 12\times (2x + 5)[/tex]

[tex] 28x + 28= 24x + 60[/tex]

[tex] 28x - 24x =60-28[/tex]

[tex] 4x =32[/tex]

[tex] x =\frac{32}{4}[/tex]

[tex] x =8[/tex]

UT = 14+ 2x + 2

CV = 12+2x+5

UT + CV = 14 + 2x + 2 + 12 + 2x + 5

UT + CV = 4x + 33

UT + CV = 4*8+ 33 = 32 + 33 = 65

UT + CV = 65