We are given that:
vi, initial velocity = 24 m/s
v, final velocity = 15 m/s
t, time = 12 s
The formula for acceleration is:
a = (v – vi) / t
a = (15 – 24) / 12
<span>a = - 0.75 m/s^2 (deceleration)</span>
The vector sum of two vectors as (7,5) and (13,-5) is given by 
which can be written in point form as (20,0) .
<u>Step-by-step explanation:</u>
Here we have , two vectors as (7,5) and (13,-5) Which are represented as :
Addition of vector is as same as normal addition of integers as :
⇒ 
⇒ 
⇒ ,
where i & j are the unit vectors in direction x-axis and y-axis respectively.
The vector sum of two vectors as (7,5) and (13,-5) is given by which can be written in point form as (20,0) .
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
<h3>What is a polynomial function?</h3>
A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
To know more about polynomial function, visit:
brainly.com/question/12976257
#SPJ1
Answer:
given,
Amount borrowed = $71500
Time = 200 days
interest rate = 7.5 %
ordinary interest rate for year = 
= $5362.5
exact interest rate for the year = 
= $2938.35
hence, the exact interest rate is less than the ordinary interest rate which means you should choose exact interest rate.
Answer:
1.8 and 14.3
Step-by-step explanation:
Our equation is a quadratic equation so we will use the dicriminant method
- Let Δ be our dicriminant
- a=1
- b= -16
- c= 25
- Δ= (-16)²-4*25*1=156≥0
- so we have two solutions : x and y
- x= (16-
)/2= 1.7555≈ 1.8 - y=(16+)/2=14.244≈ 14.3
