Expand and simplify: (x - 7)(x+7)

Answers

Answer 1

Answer:

[tex]x^{2} -49[/tex]

Step-by-step explanation:

Answer 2

Answer:

[tex](x-7)(x+7) =x^2 -7^2 = x^2 -49[/tex]

Step-by-step explanation:


Related Questions

A bag of mixed nuts has 14 almonds, 12 cashews, and 18 peanuts. If one nut is selected, what is the probability that a peanut is chosen?

Provide the answer as a simplified fraction.

Answers

18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

Answer:

9 / 22

Step-by-step explanation:

combine 14, 12, and 18

=44

then, divide 18 by 44

then you get 9 / 22

Evaluate the following expression [(15+1)/2-4]*6

Answers

Answer:

24

Step-by-step explanation:

By BODMAS rule,

[ ( 15 + 1 ) / 2 - 4 ] * 6

= [ 16 / 2 - 4 ] * 6

= [ 8 - 4 ] * 6

= 4 * 6

= 24

Based on the information given, the value of the equation will be -48.

From the information given, the expression is given as:

= (15+1)/2-4]*6

We'll solve the bracket first.

= (15+1)/2-4]*6

= (16 / 2 - 4) × 6

= (16/-2) × 6

= -8 × 6

= -48

In conclusion, the value of the equation will be -48.

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MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.

b. How much cleaner is in the tank when the cleaning begins?

C. After how many minutes is the tank empty?

Answers

Answer:

a. Write an equation that represents the amount of cleaner in the tank after x minutes

y= -4x + 128

b. How much cleaner is in the tank when the cleaning begins?

128

c. After how many minutes is the tank empty?

The tank is empty in 32 minutes

12 tenths+ 9 tenths = tenths = ones = tenths

Answers

Explain: it’s equals to 20

Please help me ASAPPPPP

Answers

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)

What is Power rule, Product rule, Quotient rule and Chain rule? Detail please

Answers

Power Rule|
When raising an exponential expression to a new power multiply the exponents.

For and Example|
Simplify: 7a^4 b^6)2

Solution: Each factor within the parentheses should be raised to the 2nd power.
7a^4 b^6)2 = 7^2(a4)2(b^6)2

You then simplify using the power Rule of Exponents.

7a^4 b^6)2 = 7^2(a4)2(b^6)2 = 49a^8 b^12

The power rule states that this derivative is n times the function raised to the (n-1) the power times the derivative of the function.


Product Rule|
When multiplying exponential expressions that have the same base, add the exponents.

Example:
Multiply: 4x^3 • -6x^2

Solution:
Multiply coefficients: 4 • -6 = -24

Use the product rule to multiply variables.
X^3 • x^2 = x^3 + 2 = x^5
4x^3 • -6x^2 = -24x^5

The power of product rule is a method for simplifying exponents and it states that a term raised to a power is equal to the product of its factors raised to the same power.
The product of two or more numbers is the result of multiplying these numbers.


Quotient Rule|
When dividing exponential expressions that have the same base, subtract the exponents.

Example:
Simplify: 8x^6/2x^3 = 4x^3

Solution:
Divide coefficients:
8 /2 = 4

Use the Quotient rule to divide variables:
X^6/x^3 = x6 - 3 = x^3
8x^6/ 2x^3 = 4x^3

The Quotient of two numbers is the result of the division of the numbers.

Chain Rule|
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power.

((Hey I’m really tired so I hope this is good and helps you good luck!!))

Good Night fools!!!

Graph the line with slope -2 passing through the point (4, 1)

Answers

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.

Answers

We need slope/rate of the table

(3,2)(6,4)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

5/7=25/213/5=9/151/37/9 7/11=21/33

Option D is correct

Option

what ratio is equivelant to 5 : 4

Answers

Answer:

1.25 to 1

Step-by-step explanation:

5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1

Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9

Answers

Answer:

V=0

Step-by-step explanation:

9V + 19 =19

9V=19-19

9V=0

V=0

What is the next term of the AP √2, √8 , √18 ......?​

Answers

Given terms in an AP are √2,√8,√18

√8 = √(2×2×2) = 2√2

√18 = √(2×3×3) = 3√2

The AP : √2,2√2,3√2

next term = 4√2> √(4×4×2)

⇛ √32

The next term of the AP = √32.

also read similar questions: The next term of the AP root 8, root 18,root 32 is...........

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Which term of the AP:3, 8, 13, 18,...,is 78?

https://brainly.com/question/15380012?referrer

If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Answers

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

andrew bought a camera on sale at a 20% discount. it was marked down from its regular price of 120$ if there is an 8% sales tax on the sales price, how much did andrew pay for the camera?

Answers

Answer:

$103.68

Step-by-step explanation:

20% 0f 120 is 24

120-24=96

8% of 96 is 7.68

96 + 7.68 = 103.68

Factor each product-
0.7√300
-0.125√192

Answers

Answer:

1. 7 to the square root of 3

2. negative square root of 3

Step-by-step explanation:

1. simplify 0.7 x 10 square of 3

2. Calculate: you get 7 to the square root of 3

1. simplify -0.125 x 8 to the square root of 3

2. Calcaute: you get negative square root of 3

The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

0.7√300 and -0.125√192

Simplify the expressions, then we have

0.7√300 and -0.125√192

7√3 and - √3

Factorize the expression, then we have

7 x √3 and - 1 x √3

More about the factorization link is given below.

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A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 48.2 feet tall. Which equation
could be used to find x, the average number of feet the tree grew each month?

Answers

Answer:

Use the equation for Average Rate of Change which will give you 2.7 feet per month

Step-by-step explanation:

The equation is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now insert your values:

[tex]\frac{48.2-5}{16-0}[/tex]

The answer is: 2.7 feet per month

Step-by-step explanation:

how much did it grow per month ?

well, it grew from 5 to 48.2 ft in 16 months.

that means it grew 48.2 - 5 = 43.2 ft.

per month that is 43.2/16 = 2.6875 ft per month.

so, the equation would look like

x = (48.2 - 5)/16

Math Algebra 1 Honors Unit 4 that's what it is ​

Answers

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

A) The speed of the parachute in feet per second is; 198 ft/s

B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft

We are given;

Speed of parachute during freefall = 60 m/s

A) We are told that 1 m = 3.3 ft

Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s

B) Speed is now 198 ft/s

Time is 15 seconds

Formula for distance is;

Distance = speed × time

Distance = 198 × 15

Distance = 2970 ft

Read more about distance, speed and time at; https://brainly.com/question/3267354

Write each verbal expression as an algebraic expression.

The product of a number, b, and nine =




​A number, x, raised to the fifth power =


​Twelve divided by the product of number, y, and three =


​Seven added to the difference of one and a number, k =

Answers

1. 9b
2.x^5
3.(3y)/12
4.(1-k)+7

PLEASSEEE HELPP!!!!!

Answers

Answer:

m

Step-by-step explanation:

Will give brainliest if you answer fast

What is the equation
y=____ x + ____

Fill in the missing number with the graph

Answers

The answer should be Y=1/2x-3

Which number is a factor of 14 but not a multiple of 7??

Answers

Answer:

2

Step-by-step explanation:

Write out all the factors for 14

Then write out the multiples of 7

Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples

PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!

Answers

Answer:

  (d)  a1 = 11

Step-by-step explanation:

Put the numbers in the given formula and solve for a1.

  a5 = 176 = a1(r^(5-1)) = a1·r^4

  a7 = 704 = a1(r^(7-1)) = a1·r^6

Dividing a7 by a5 gives ...

  a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4

Then a1 is ...

  a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11

The first term is 11.

Hi, mal :> hehehe

( its [tex]a_{1} = -11[/tex])

Your welcome..... ;]

True or False (See Image)

The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.

Answers

Answer: true

Step-by-step explanation:

Solve the following system of equations:

Answers

Answer:

The correct answer is option B: (-1, -1).

Step-by-step explanation:

The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.

Upon addition, we get:

9y = -9

If we solve the equation by dividing both sides by 9, we get:

y = -1

To find the x value, we can substitute this value back into either of our original equations.

6x + 4y = -10

6x - 4 = -10

To solve for x, we should isolate the variable, or get it alone on one side of the equation.

6x = -6

x = -1

Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.

?
58 62
28 27 13
13 15 12 11
6 7 8 4 7
4 2 5 3 1 6

Answers

Answer:

105

Step-by-step explanation:

First, adding two sequence numbers and that result become upper number

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

Answers

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so
3 = 135 degrees
angles in a circle = 360
360 - (135 x 2) = 90
90 / 2 = 45 so
2 and 4 are each 45 degrees

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

The table and graph both represent the same relationship. which equation also represents that relationship?

Answers

Answer:

I think it's y= 2x

Step-by-step explanation:

For every number in y, x increases by 2

Answer:

y=x2

Step-by-step explanation:

The first one because 2x2 is 4 .  

4x2 is 8

6x2 is 12

Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

Read more about transformation at

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Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. In complete sentences, explain why the fraction is less than 100%.

Answers

The fraction is 8/9

Lets find percentage

8/9(100)800/988.89%

Done!

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