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IceJOKER [234]
3 years ago
8

Solve this quadratic equation using the quadratic formula x^2 + 8x - 5 = 0

Mathematics
1 answer:
kompoz [17]3 years ago
3 0

Answer:

x =  − 4 ± √ 21

Step-by-step explanation:

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Which number is a factor of the prime factorization of 60?<br> 15<br> 6<br> 3<br> 9
patriot [66]

Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

3 0
2 years ago
Read 2 more answers
Find the roots.<br>x^2-8x+7=0​
AfilCa [17]
Answer is : X1=1,x2=7
8 0
3 years ago
I really need help I would appreciate it if someone could help me
sleet_krkn [62]

Answer:

a) The vertex of the graph is (h,k) = (0, 31), b) a = -16, c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is (h,k) = (0, 31).

b) If we know that (h,k) = (0, 31), f(t) = a\cdot (t-h)^{2} + k and (t,f(t)) = (1,15), then the value of a is:

f(t) = a\cdot (t-h)^{2} + k

15 = a\cdot (1-0)^{2}+31

15 = a\cdot 1 + 31

a = 15-31

a = -16

c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

4 0
3 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
Thus, the population will be 138 million in 2014

8 0
3 years ago
Please help me with this answer
olga_2 [115]
73. Area- 55 Perimeter-32


75. Area-30 Perimeter-30
7 0
3 years ago
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