MATHEMATICS HIGH SCHOOL

Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.y = 12x + 3

y = 8x + 23

How many shirts would you have to purchase for the total cost to be the same at both companies?

Answers

Answer 1
Answer:

Answer:

5 shirts

Step-by-step explanation:

Y=12x+3 equation 1

y=8x+23 equation 2

12x+3=8x+23 substituting y value will cause equations to equal

4x=20

x=5 shirts

check answer

y=12x+3

y=12(5)+3

y=60+3

y=63

y=8x+23

y=8(5)+23

y=40+23

y=63

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The price of an item increased by 25%. If the price of the item after the increase is $2, find the original price.a) $1.50, b) $1.60, c) $1.75, d) $2.50, e) $3.20

Answers

25 % = 25/100 = 0.25

x ⇒ original price

x + 0.25x = 2 \n 1.25x = 2 \n x = 2/1.25 \n x = 1.6

The original price was $1.6
x+0.25x=2\n 1.25x=2\n x=\$1.6\Rightarrow B

Find x and y of this triangle.

Answers

Question

Find x and y of this triangle.


Answer:

x = 52°

y = 23°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

from the picture you have 90°, 67° and y in one triangle

and 90°, 38° and x in the other.

triangle with y:

180 - 90 - 67 = 23°

triangle with x

180 - 90 - 38 = 52°

Keshawn is asked to compare and contrast the domain and range for the two functions.f(x) = 5x
g(x) = 5^x
Which statements could he include in his explanation? Check all that apply.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of both functions is y > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answers

Answer:

Hence, option 1 is correct.

Hence, last option is correct.

Step-by-step explanation:

We have given two function

f(x)=5x  and g(x)=5^x

Domain is the values x can take and

And range is the values y can take

Hence, x can take any real value in both the functions in f(x) and g(x)

Hence, option 1 is correct

Now, for range

range of f(x) can be any real number

But range of g(x) can be positive number

Hence, last option is correct.

Rest all options are incorrect.
He could include two statements:
-  The domain of both functions is all real numbers.
-  The range of g ( x ) is y > 0 

How many solutions will the following equation have: x squared -49=0

Answers

Xsquere-49=0
Xsquere=49
X=√49 (squere root of 49 is 7)
i.e  X=7
If u use factoring then x can be 7 or -7

Karen will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $49 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $38 and costs an additional $0.17 per mile driven.

Answers

Is there more to the question?

What are the dimensions of the matrix?[9 -4 19 41 0]
[11 6 -2 25 13]
1.) 1x10
2.) 2x5
3.) 10x1
4.) 5x2

Answers

the dimension of a matrix is the no of rows by the no of columns.

Here there are two rows and  five column. So the dimensions of the matrix is 2 x 5
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