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Tanya [424]
3 years ago
12

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi

dth of 2x feet and a
Hength of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following
functions will give the area, fx), of the quilt in square feet?
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

Area = f(x)=10x^2 + 31x + 15

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15

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Which graph shows the solution to the inequality <br> |x+3| ≥ 2?
KIM [24]

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

  • we take the point x = -a
  • then we go b units in both directions (left and right)
  • start from those 2 points and draw arrows in both directions (left & right)

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

<em>looking at the choices, </em><em>we see 2nd answer choices (graph) portrays it correctly.</em>

4 0
2 years ago
image Find the area of the kite with diagonals a = 12 and b = 9. Question 5 options: A) 108 B) 72 C) 54 D) 30
FromTheMoon [43]

Answer:

108

Step-by-step explanation:

Because the area formula is a*b and 12*9 is 180

So the answer is 180 which is A

I hope this helps :)

3 0
3 years ago
Can someone pleaseeeeee help on either question pleaseeeee 100000000 points
SIZIF [17.4K]
Number 3 is gonna be 2 and Number 4 will be 294 I hope this would help u a little bit I will figure out the Other questions



4 0
3 years ago
Read 2 more answers
Write the converse of this statement.if two angles are both obtuse, the two angles are equal.
Aliun [14]

To form the <u>converse</u> of the <u>conditional statement</u>, interchange the <u>hypothesis</u> and the <u>conclusion</u>.

Given conditional statement: "if two angles are both obtuse, the two angles are equal".

Here,

  • hypotesis is:  two angles are both obtuse,
  • conclusion is:  two angles are equal.

Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".

8 0
3 years ago
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Select the expression that represents the simplified difference.
Setler79 [48]

The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.

<h3>What is an expression?</h3>

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,

E = 2f(x) – h(x)

E =  2( x + 2 ) - ( 1 / x-1)

E = 2x + 4 - (1/x-1)

To know more about an expression follow

brainly.com/question/29008655

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8 0
1 year ago
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