Answer:
This question is a rather easy one which can be answered by simply solving the embedded quadratic equation.
f(x) = -
+ 6x + 16
To make our solving easier, what we do is multiply the whole equation by -1. By so doing, we make "x" positive. Then, we have
f(x) =
- 6x - 16
Solving this equation quadratically, we have
+ 2x - 8x - 16 = and when we factorize this expression, we have
x(x + 2) -8(x + 2) =
(x - 8) (x + 2) = 0
x - 8 = 0, x + 2 = 0
x = 8, or x = -2
Since distance can not be in negative(minus), we then have our x to be 8 meters.
Another example on factorization can be seen here brainly.com/question/13813750
Answer:
About 41.5%
Step-by-step explanation:
<em>Given:</em>
<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>
<em>To Find:</em>
<em>What is the probability that both grapes are red?</em>
<em>Answer choices:</em>
<em>about 39.7%</em>
<em>about 41.5%</em>
<em>about 42.5%</em>
<em>about 44.5%</em>
<em>Solution:</em>
<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>
<em>As the red grapes are 15..</em>
<em>Thus,</em>
<em>The probability of choosing a red grape the first time is 15/23.</em>
<em>Because out of the total 23 grapes only 15 were red grape.</em>
<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>
<em>Hence, the probability of choosing or eating two red grapes will be :</em>
<em>15/23×14/22</em>
<em>=105/253</em>
<em>=0.415</em>
<em>= 41.5%</em>
<em>Therefore, the probability that both grapes are red is about 41.5%</em>
Answer:
20
Step-by-step explanation:
The two given and marked angles add up to 90.
A = x
B = 3x + 10
A + B = 90 Substitute for A and B. A and B are just letters I gave things.
x + 3x + 10 = 90 Combine the left
4x + 10 = 90 Subtract 10 from both sides.
4x +10-10 = 90-10 Combine
4x = 80 Divide by 4
4x/4=80/4
x = 20
Can you give me an example? Thank you