ANSWER
EXPLANATION
The vertex of the graph is at
The equation of the graph in vertex form is given by the formula,
The above graph has a minimum point, hence
When we put these values into the equation we obtain,
This implies that,
The point (-2,0) lies on the line.
The correct answer is D.
The first two numbers between 100 and 150 that have a HCF of 22 are 110 and 132
<h3>Highest common factors</h3>
The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
According to the question, we are to find two numbers between 100 and
150 that have a HCF of 22.
In order to do that we will<u> multiply 22 by the values 5 and 6</u>
First number = 22 * 5 = 10
Second number = 22 * 6 = 132
Hence the first two numbers between 100 and 150 that have a HCF of 22 are 110 and 132
Learn more on HCF here; brainly.com/question/21504246
#SPJ1
Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1
The z score of 
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:
The margin of error (e) = 
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
Answer:
(c)=81°, a=9.1, b=12.
Step-by-step explanation:
m<A=40°, m<B=59
m<C=180-(40+59)=81
c=14
Answer:
$4250
Step-by-step explanation:
i = prt
or
p = i / rt
where,
i = $1,785
r = 6% = 0.06
t = 7 years
So, we can calculate initial vale by putting the values in above equation;
p = $1,785 / (0.06 x 7)
p = $1,785 / 0.42
p = $4,250
Hence the initial value will be $4250
