Answer:
The required equation is : 5 · 4000 = 20,000
Step-by-step explanation:
We have to use multiple of 10 for at least one factor.
So, in order to form our equation, we take one factor as 4000 which is a multiple of 10 (10 × 400 = 4000)
And the other condition to form the equation is given that the product should contain 4 zeros, so we need to multiply the first factor 4000 by some number such that the product contains 4 zeros.
Therefore, if we multiply 4000 by 5 we get the product as 20000 which contains 4 zeros.
Hence, 5 × 4000 = 20,000 is our required equation.
Answer: Alvin = 42 yrs , Elga = 21 yrs
Step-by-step explanation:
Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then
Alvin's age = 2x , that is
y = 2x ............... equation 1
The sum of their ages is 63 implies
x + y = 63 .............. equation 2
Solving the resulting linear equations by substitution method.
Substitute equation 1 into equation 2 , we have
x + 2x = 63
3x = 63
x = 63/3
x = 21
Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42
<span>The correct answer is The original height of the plant was 4 mm.</span>
The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
<h3>How to rewrite in vertex form?</h3>
The equation is given as:
f(x) = x^2 + 12x + 6
Rewrite as:
x^2 + 12x + 6 = 0
Subtract 6 from both sides
x^2 + 12x = -6
Take the coefficient of x
k = 12
Divide by 2
k/2 = 6
Square both sides
(k/2)^2 = 36
Add 36 to both sides of x^2 + 12x = -6
x^2 + 12x + 36= -6 + 36
Evaluate the sum
x^2 + 12x + 36= 30
Express as perfect square
(x + 6)^2 = 30
Subtract 30 from both sides
(x + 6)^2 -30 = 0
So, the equation f(x) = x^2 + 12x + 6 becomes
f(x) = (x + 6)^2 -30
A quadratic equation in vertex form is represented as:
f(x) = a(x - h)^2 + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-6,-30)
Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
Read more about quadratic functions at:
brainly.com/question/1214333
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This is called scientific notation. To simplify, just do 10 to the 7th (1 with 7 zero's behind it) to get 10,000,000 (10 million) then multiply that by 2.6 to get your final answer:
26 million or 26,000,000
Just so you know, picking a brainliest answer gives YOU back points, and I kind of need the rank upgrade, as it's kind of embarrassing being Ambitious with more than 9 times the amount of points needed and around 7 times the number of brainliest answers.
