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Andru [333]
3 years ago
14

How do you write a quadratic equation in standard form?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

  • Powers of the variable descending left to right
  • right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

  • Powers of the variable are descending
  • All of the non-zero terms are on the left side of the equal sign
  • Like terms are combined

_____

* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

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The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.
Arisa [49]

Answer:

12; 8

Step-by-step explanation:

length-x

breadth-2/3x

2(x+2/3 x)=40

2×5/3x=40

10/3x=40

x=40÷10/3

x=40×3/10

x=12 (cm) length

2/3×12=8 (cm) breadth

6 0
3 years ago
Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probabi
CaHeK987 [17]

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

3 0
3 years ago
Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
denis-greek [22]

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B.  Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

#SPJ1

6 0
1 year ago
All help is much appreciated please and thank you
scoundrel [369]
Anddd Similar traingles for one more time.

Here,
RQ/RP = RS/RT = QS/PT = 1/2


Using the values of QS and PT will give,

\frac{y}{y + 46}  =  \frac{1}{2} \\  \\  2y =y + 46 \\  \\  y = 46


Therefore y= 46 units.
6 0
3 years ago
1 inch on a map represents 2 miles what is the scale ratio
bazaltina [42]

Answer:

1 inch

______

2 miles

7 0
3 years ago
Read 2 more answers
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