Tamika had a 4 by 7 in. photograph enlarged. Both length and width were increased to 130% of the original size. Find the perimeter of the enlarged photograph.

Answers

Answer 1

Answer: 4*130%=5.2
7*130%=9.1
5.2*2+9.1*2=28.6 in

or You can just do
(4+7)*130%*2=28.6 in

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Solve this inequality: 3p – 16 < 20. A. p < –12
B. p < 12
C. p < 1/3
D. p < 11/3

Answers

3p - 16 < 20
3p < 20 + 16
3p < 36
p < 12

The answer is B.

3p - 16 < 20

3p < 20 + 16

3p < 36

p < 36/3

p < 12

Option B.

How many solutions does x^2 - 2x +1 = O have?

Answers

Answer:

Step-by-step explanation:

(X-1)(X-1) are your factors which only give you one solution of x=1

What are the solutions of x^2 - 5x+7 = 0 ?

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=(-b\pm√(b^2-4ac) )/(2a)$

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

Substitute [Quad Formula]: $x=(5\pm√((-5)^2-4(1)(7)) )/(2(1))$
Evaluate Exponents: $x=(5\pm√(25-4(1)(7)) )/(2(1))$
Evaluate Multiplication: $x=(5\pm√(25-28) )/(2)$
Evaluate Subtraction: $x=(5\pm√(-3) )/(2)$
Factor: $x=(5\pm√(-1) √(3) )/(2)$
Simplify: $x=(5\pm i√(3) )/(2)$

The solutions to the equation x² - 5x + 7 = 0 are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Option C is the correct answer.

We have,

To find the solutions of the quadraticequation x² - 5x + 7 = 0, we can use the quadraticformula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 1

b = -5

c = 7

Substituting these values into the quadraticformula,

x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))

Simplifying further:

x = (5 ± √(25 - 28)) / 2

x = (5 ± √(-3)) / 2

Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are norealsolutions to this quadratic equation.

The solutions exist in the complex number system.

So,

√-1 = i

x = (5 ± i√3) / 2

This can be written as,

x = (5 + i√3) / 2

and

x = (5 - i√3) / 2

Thus,

The solutions to the equation x² - 5x + 7 = 0 are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Learn more about solutionsofequations here:

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You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? (Hint: Write a system for the situation and solve)

Answers

After 8 weeks your accounts have the same balance.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

You have $22 in your bank account and deposit $11.50 each week.

And, At the same time your cousin has $218 but is withdrawing $13 each week.

Let after x weeks your accounts have the same balance.

Hence, We can formulate;

⇒ $22 + $11.50x = $218 - $13x

Solve for x as;

⇒ 22 + 11.50x = 218 - 13x

⇒ 13x + 11.50x = 218 - 22

⇒ 24.50x = 196

⇒ x = 196 / 24.50

⇒ x = 8

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You = 22 + 11.50w
Cousin = 218 - 13w

it wants to know what w equals when You = Cousin
or
22 + 11.50w = 218 - 13w

first we can add 13w to both sides
24.50w + 22 = 218

then we can subtract 22 from both sides
24.50w = 196

then we divide both sides by 24.50
so
w = 196 / 24.50 = 8

therefore it would take 8 weeks for the accounts to have the same balance

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. -4(x - 3)2 - 29; The maximum height of the water is 3 feet.
-4(x - 3)2 - 29; The maximum height of the water is 29feet.
-4(x - 3)2 + 7; The maximum height of the water is 7 feet.
-4(x - 3)2 + 7; The maximum height of the water is 3 feet.

Answers

yo don't need max height
yo use 'find vertex' equestion

since leading term is negative, this equation has a max

the vertex is the max
in the form
y=ax^2+bx+c
vertex=-b/2a

-4x^2+24x-29
a=-4
b=24

vertex=-24/(2*-4)=-24/-8=3

max height is 3 feet
dunno wat the compete square is

I can do that fo ou though
move -29 off to side and undistriute -4
-4(x^2-6x)-29
complete the square, take 1/2 of -6 an square it andadd 0
-4(x^2-6x+9-9)-29
complete square
-4((x-3)^2-9)-29
move the 9 out by distributing the -9 to the -4
36
-4(x-3)^2+36-29
-4(x-3)^2+7

answer is 3rd option

Answer: The correct answer for this question is option...

(C) −4(x − 3)2 + 7; The maximum height of the water is 7 feet.

Hope this helps :)

Have a great day!!

Which inequality is true?O A. > 1
O B. 51> 15
O C. 41-2<10
O D. 17+ 9 < 12