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Alika [10]
3 years ago
6

In the two diagrams, all the triangles weigh the same and all the squares weigh the same.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

1. A triangle weighs more than a square.

2. A triangle could weigh more than a circle.

3. A triangle cannot possibly weigh more than 4 squares and a circle.

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You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks
DochEvi [55]
Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d

pizza and drinks should only be equal to or less than the budget of $30.

$9p + $1d <u>< </u>$30

unit cost of pizza :          9 
unit cost of drinks :         1
total cost of set (p & d) 10

pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 =   3 total cost of drinks

27 ÷ 9 = 3 number of pizzas to order 
  3 ÷ 1 = 3 number of drinks to order

To check:

9p + 1d <u>< </u>30
9(3) + 1(3) <u>< </u>30
27 + 3 <u>< </u>30
30 <u>< </u>30
6 0
4 years ago
If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the e
natita [175]

Equations don't really have x intercepts, functions or curves do. They're also known as the zeros of the function.  When we set a function equal to zero we get an equation to solve, and the zeros of the function become the solutions or roots of the equation.

If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.

In this example our equation is something like 2(x+3)^2=0, or expanded

2x^2+12x + 18 = 0

The discriminant d=b^2-4ac here is

d = 12^2 - 4(2)(18) = 0 \quad\checkmark


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