Answer:
Step-by-step explanation:
There are 6 solutions or zeros here because, according to the Fundamental Theorem of Algebra, the degree of the polynomial dictates how many zeros there are in the polynomial. If we had a 3rd degree polynomial, we would expect to find 3 zeros; if we had a 5th degree polynomial, we would have 5 zeros, etc. The easiest way to factor this is to do it initially by grouping:
then
then
We will factor each set of parenthesis now to get all the zeros. For the first set of parenthesis:
so
so
But since we can't have a negative under the square root, we have to offset it by using the imaginary number i. i-squared = -1, so
x = ±i√5
Those are the first 2 zeros out of 6. Now for the second set of parenthesis:
4x⁴ - 25 = 0. That is the difference between perfect squares, and that factors to this:
(2x² + 5)(2x² - 5)
The first set of parenthesis there:
2x² + 5 = 0 so
2x² = -5 so
x² = -5/2 so
x = ±
Those are the next 2 zeros. We found 4 so far, now we will find the last 2 in the second set of parenthesis above:
so
so
x = ±
In summary, the 6 zeros are as follows:
x = 
, -, , 
, , 
2.7 would be 2 7/10. Correct?
Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.
La ecuación de la altura es:
Con ella veremos que los arbustos miden 69cm cuando son vendidos.
<em>Veamos como resolver esto.</em>
h(t) es la función que modela la altura de las plantas.
Sabemos que:
Sí integramos, obtendremos:
donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:
Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.
La ecuación de la altura es entonces:
Esta ecuación nos da la altura en centimetros a tiempo t.
Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:
Es decir, los arbustos miden 69cm cuando son vendidos.
Sí quieres aprender más, puedes leer.
brainly.com/question/25180768
Hi there! For this question, you need to know the ratio of sine and cosine.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
Define A = angle
opposite and adjacent side changes only if we focus on another angle.
From the picture, if we focus on angle S, the opposite would be 36. But if we focus on angle R (flip to make RT as base), see that the opposite would be 14.
Answer
- sinS = 36/42 = 6/7
- sinR = 14/42 = 1/3
- cosS = 14/42 = 1/3
- cosR = 36/42 = 6/7
The bold one is simplest form while the non-bold is non-simplest.
Questions can be asked through comment.
Hope this helps, and Happy Learning ! :)
There is 48.5 grams of fat in the cheeseburger. We know 500= amount of protein + amount of fat which translate to 500= p x 7 + f x 9 where p = protein f= far and 7 and 9 are the calories for protein and fat. We know there are 9 grams of protein so we can add that in the equation. 500= 9 x 7 + f x 9. Which simplifies to 500= 63 + f x 9. We know the calories of protein in the cheeseburger is 63 so we subtract that from the total amount of calories. 500-63= 437. 437 is the total amount of calories in fat. To figure out grams of fat you continue. 437=f x 9. Then you divide 9 on both sides where you get 48.5=f where f is the grams of fat. There are 48.5 grams of fat in the cheeseburger.
