Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Answer:

1. Calculate the sum of "a", "b" and "c".

2. The perimeter equation is:

Step-by-step explanation:

In this case, P denotes the triangle's perimeter while a, b, and c are the triangle's sides.

The definition states that the sum results from an addition operation. Thus, the statement "The perimeter P of a triangle equals the total of sides a, b, and c" means that the perimeter is determined by aggregating the lengths of the triangle's sides.

Consequently, you can express this in the following equation:

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

Let the number of adults be z.

Expressing this situation as an equation:

y = 5 x + 20 z

⇒Number of adults = z

       

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

To find a122 in the sequence beginning with 5, 8, 11, we recognize this series is arithmetic.

Answer:

A: With each additional procrastination day, the expected grade drops by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A linear equation can be expressed in slope-intercept form:

y = mx + b

Here, m represents the slope and b indicates the y-intercept.

The slope reveals the rate and direction of change in the graph as x varies.

<pif m="" is="" positive="" increases="" in="" x="" result="" y.="">

If m is negative, increases in x lead to decreases in y.

<pthe regression="" equation="" is:="">

ŷ = –3.64x + 96.5

Where:

x = number of procrastination days

ŷ = anticipated grade

<pthus the="" slope="" is="" m="-3.64." this="" indicates:="">

A: With each additional procrastination day, the expected grade drops by 3.64 points.

</pthus></pthe></pif>