Answer:
a. 4 teachers b. 58 students c. 62 people
Step-by-step explanation:
multiply 80 by 0.05, you get 4.
Multiply 1160 by 0.05, you get 58.
Add 80 and 1160 together, you get 1240. Multiply 1240 by 0.05, you get 62.
Answer:
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Step-by-step explanation:
We have been given the equation y=ab^(x-h) +k and we have to state that how the value of k affect the graph.
We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.
In other words, the parent graph either get shifted upward or downward depends on the value of the constant.
Therefore, we have
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Answer:
1
Step-by-step explanation:
Hello,
2x – 1 = 1 – 2x
<=> 2x-1+2x=1
<=> 4x-1=1
<=> 4x = 1+1=2
<=> x = 2/4 = 1/2
Then there is only one solution.
Thanks
The answer is 14137.17 because to find the volume of the sphere, the equation is 4/3 times pi times the radius cubed.
The roots of the entire <em>polynomic</em> expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
<h3>How to solve a product of two polynomials </h3>
A value of <em>x</em> is said to be a root of the polynomial if and only if <em>r(x) =</em> 0. Let be <em>r(x) = p(x) · q(x)</em>, then we need to find the roots both for <em>p(x)</em> and <em>q(x)</em> by factoring each polynomial, the factoring is based on algebraic properties:
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x² + 5 · x - 6)
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x + 3) · (x + 2)
r(x) = x · (x + 2)² · (x + 3) · (x + 6)
By direct inspection, we conclude that the roots of the entire <em>polynomic</em> expression are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6. 
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910
