Answer:
1,5
Step-by-step explanation:
first and last ones
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
<h3>How to determine the maximum height of the ball</h3>
Herein we have a <em>quadratic</em> equation that models the height of a ball in time and the <em>maximum</em> height represents the vertex of the parabola, hence we must use the <em>quadratic</em> formula for the following expression:
- 4.8 · t² + 19.9 · t + (55.3 - h) = 0
The height of the ball is a maximum when the discriminant is equal to zero:
19.9² - 4 · (- 4.8) · (55.3 - h) = 0
396.01 + 19.2 · (55.3 - h) = 0
19.2 · (55.3 - h) = -396.01
55.3 - h = -20.626
h = 55.3 + 20.626
h = 75.926 m
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
To learn more on quadratic equations: brainly.com/question/17177510
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Each girl started with 15 dollars.
4$ is the ending amount
x= the amount of money each girl received
4= 2x - 2(13)
Since there were two girls who both received x amount of money, x is multiplied by two. Since both the girls spent 13 dolars on lunch, their original amount is subtracted by 13 times two, since there are two lunches being bought. The end amount of money is four.
to solve:
4= 2x - 2(13)
4= 2x - 26 Simplify by combining like terms
30= 2x Isolate the variable by adding 26 to both sides
15=x Continue to isolate the variable by dividing both sides by two
Each girl started with 15 dolars. Each girl spent thirteen dolars on lunch and had two dolars left over. Each girls' two dolars left over adds up to four dollars.
