Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.A number decreased by the sum of the number and four.

Answers

Answer 1

SOLUTION

We want to solve the question

A number decreased by the sum of the number and four.

Now we have been told let the number be x.

So we have

$\begin{gathered} sum\text{ of the number and 4 is } \\ (x+4) \\ decreasing\text{ we have } \\ x-(x+4) \end{gathered}$

solving that we have

$\begin{gathered} x-(x-4) \\ x-x+4 \\ 0+4 \\ =4 \end{gathered}$

simplifying, the answer is 4

Related Questions

The length of a rectangle is nine more than tripled the width if the perimeter is 146 inches find the dimensions

Answers

So here is the answer write it in your copy. thank you.

The length of a rectangle is nine more than tripled the width if the perimeter is 146 inches find the

Help pleaseeeeeeeeeeeeee

Answers

Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

$f(8)=\frac{750}{1 + 74e^{-0.734(8)} }$

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

$f(8)=\frac{750}{1 + 74e^{-5.872} }$

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

$f(8)=\frac{750}{1 + 74(0.002817) }$

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

$f(8)=\frac{750}{1 + 0.2084 }$

Now lets add 1 + 0.2084.... and you get 1.2084

$f(8)=\frac{750}{1.2084 }$

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Suppose that the functions fand g are defined as follows.
f(x)=(4+x)(6+x)
g(x) = 1+x

Find (f/g)(-5)
Find all values that are NOT in the domain of f/g

Answers

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Calculate the sector area: 16 in 90°

Answers

Therefore , the solution of the given problem of area comes out to be

r = 8.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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Help! The answers in the pic not right

Answers

Q = 1,3

R = 3,-3

S = 0,-2

T = -2,1

The tree in Juan's backyard is 7.7 m high. How high is it in centimeters?

Answers

Answer:

770 cm :)

Step-by-step explanation:

1m is 100cm so just multiply 7.7 by 100

Given:

The tree in Juan's backyard is 7.7 m high.

To Find:

How high is it in cm.

Conversion:

1 m = 100 cm

7 m = 7 × 100 = 700 cm

Solution:

7.7 m = ( 700 + 70 ) cm = 770 cm

Answer:

770 cm

Therefore, it is 770 cm high.

Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.

(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)

Answers

Answer:

Option 3

(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

$\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}$

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity: a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

= (3xy³)² - (5x²y⁴)²

= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)

Find the surface area of the pyramid.

Answers

Answer:

Step-by-step explanation:

A=bh 18*18=324

Triangle is A=1/2bh 18*17=306 =153

153*4=612

612+324=936sq in

What is the constant term in the expression 4xy + 8x +5?

Answers

Answer:

Step-by-step explanation:

The constant term is the one that has no variables :)

What is the solution of -28=22-5x?

Answers

Answer:

10=x

Step-by-step explanation:

google

Answer:

x=10

Step-by-step explanation:

Use Symbolab.com

Solve for m∠PNM.
58
186
97
87

Answers

The calculated measure of m∠PNM is 87 degrees

How to calculate the meausre of m∠PNM.

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

Answers

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

f(t) = p2 + 6r
f(r)
-4
-3
-2
-1

Answers

f= p2−10

over −6r2+t

The answer to this is -4

need help with this

Answers

Answer:

Step-by-step explanation:

1 is the number in which its reciprocal is its own because 1 has both the same numerator and denominator which means the reciprocal is the same. For example, 1/1 is equal to 1 and the reciprocal of 1/1 is 1/1

2/2 is equal to 1 and the reciprocal of 2/2 is 2/2

This can keep going on and on.

Hope this helps!

what will be the appropriate scale to represent the below table

Answers

We can write the scale factor for the table as {K} = y/x.

What is scaling?Scaling is a procedure through which we draw an object that is proportional to the actual size of the object. Scaling in geometry means that we are either enlarging or shrinking figures so that they retain their basic shape.

Given is to determine the scale for the given table.

Since the table is not given, we can learn how to find the scale for the table. A table will be consisting of {x} and {y} coordinates.So, we can write the scale factor as : {K} = y/x

Therefore, we can write the scale factor for the table as {K} = y/x.

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the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)

Answers

To find the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5), we can follow these steps:

1. Find the midpoint of the segment using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)

2. Use the midpoint and the slope to find the equation of the line in point-slope form. The point-slope form is given by:
y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.

Substituting the values:
y - 1 = (9/7)(x - (-2))
y - 1 = (9/7)(x + 2)
y - 1 = (9/7)x + (18/7)

3. Simplify the equation to obtain the slope-intercept form:
y = (9/7)x + (18/7) + 1
y = (9/7)x + (18/7) + (7/7)
y = (9/7)x + (25/7)

So, the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5) is y = (9/7)x + (25/7).

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?

Answers

Answer:

28000

Step-by-step explanation:

Answer:

1400 is 5 percent. So 28000 is the price of the car

Step-by-step explanation:

5 percent times 20 is 100 percent

the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?

Answers

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear

Answers

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

B. Positive linear association

zoom in if beaded and pls help pronto

Answers

Answer is G. It won’t let me post answer unless it has 20 characters lol

Answer:

F. six times a number less 9

Step-by-step explanation:

The statement doesn't make sense.

it would make sense if it was:

six times a number less than 9

9 - 6x

Others would make sense:

8(6/3)

x - 12

5x = 30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Let f ( x ) = x 2 − 2 x f ( x ) = x 2 - 2 x . Round all answers to 2 decimal places. a . a . Find the slope of the secant line joining ( 2 , f ( 2 ) ( 2 , f ( 2 ) and ( 8 , f ( 8 ) ) ( 8 , f ( 8 ) ) .

Answers

Answer:

The slope of the secant line joining (2, 0) and (8, 48) is 8.

Step-by-step explanation:

Let $f(x) = x^{2}-2\cdot x$, from Analytical Geometry we remember that slope of a secant line is defined by:

$m_{sec} = \frac{f(x_{B})-f(x_{A})}{x_{B}-x_{A}}$ (Eq. 1)

Where:

$x_{A}$, $x_{B}$ - Initial and final independent variables, dimensionless.

$f(x_{A})$, $f(x_{B})$ - Initial and final dependent variables, dimensionless.

Now we proceed to find the values of each dependent variable:

$x_{A} = 2$

$f(x_{A}) = 2^{2}-2\cdot (2)$

$f(x_{A}) = 0$

$x_{B} = 8$

$f(x_{B}) = 8^{2}-2\cdot (8)$

$f(x_{B}) = 48$

And slope of the secant slope is determined after replacing every variable:

$m_{sec} = \frac{48-0}{8-2}$

$m_{sec} = 8$

The slope of the secant line joining (2, 0) and (8, 48) is 8.

In the circle below, the measure of arc QT is 50 and the measure of angle P is 55,

What is the measure of arc RS?

Answers

Answer:

C. 160degrees

Step-by-step explanation:

Find the diagram attached

From the diagram;

<P = 1/2(arcRS - arcQT)

Given the following

arcQT = 50degrees

<P = 55 degrees

Required

arcRS

55 = 1/2(arcRS - 50)

2*55 = arcRS - 50

110 = arcRS - 50

arcRS = 110 + 50

arcRS = 160degrees

Hence the measure of arcRS is 160degrees

In the circle below, the measure of arc QT is 50 and the measure of angle P is 55,What is the measure

Which statement correctly relates the dilation of a circle with its new area?

Answers

Answer:

When a circle is dilated about its center by a scale factor of 3/2, its area is multiplied by a scale factor of 9/4.

Step-by-step explanation:

Scale factor = 3/2

The ratio of the areas is the scale factor squared. Therefore, the ratio of the areas is (3/2)² = 9/4

Anne invested $1000 in an account with a 3% annual interest rate. She made no deposits or
withdrawals on the account for 2 years. If interest was compounded annually, which equation
represents the balance in the account after the 2 years?

Answers

for this problem you find 3 percent of $1000 to calculate the first year of interest which is 30 and then add it to your balance to get $1030 then you find 3 percent of that which is 30.9 and add it to your balance to get a total of $1060.9

Sally and Lucy had an equal amount of money each. After Sally spent $15 and Lucy spent $24, the ratio of Sally’s money to Lucy’s money was 4:3. How much money did each girl have at first?

Answers

Answer:

Step-by-step explanation

Sally = 4 x 3 = 12(left) + 15(spent) = 27

Lucy = 24(spent) + 3(left) = 27 (we dont multiply this part bc Lucy spent 9 more dollars than Sally, 3 x 3 is 9 which equals the difference)

Two parallel lines are crossed by a transversal.
What is the value of d?

Answers

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

What is a Transversal?

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Two parallel lines are crossed by a transversal.What is the value of d?

-3x + 6 = 4 - 6x

I kept getting 1.5 But it's not correct. ???

Answers

Answer:

-2/3 or -0.6666

Step-by-step explanation:

-3x + 6 = 4 -6x

Let's move the x to one side

-3x +6x=4-6

Combine like terms

3x = -2

Divide both sides by 3

-2/3=x

or -0.666666

Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?

Can anyone help me thank you

Answers

Riley planted 4,820 pumpkins

HELPP!!!
The area of the figure is ____ square units.

Answers

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

7.Lin wants to empty her hot tub to clean it. She has a 300 gallon hot tub and
empties it at a rate of 20 gallons each minute. Which equation(s) represent this
situation. Check all that apply.
y=300-20%
y=20x+300
y=-20x300
y=-20x-300

Answers

the answer is y=-20x-300

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