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4vir4ik [10]
2 years ago
10

Awnser fast to get prize solve -6+9.8x=33 1/5

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0
-6+9.8x=33 1/5
9.8x=39 1/5
x=4
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Function 2
balandron [24]

Answer:

Function 2 has larger max value.

Step-by-step explanation:

We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.

But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.

\large{f(x) =  -  {x}^{2}  + 4x + 1}

It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.

\large \boxed{y =  \frac{4ac -  {b}^{2} }{4a} }

As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c

Substitute our a, b and c in the formula.

\large{y =  \frac{4( - 1)(1) -  {(4)}^{2} }{4( - 1)} } \\ \large{y =  \frac{ - 4 - 16}{ - 4} } \\ \large{y =  \frac{ - 20}{ - 4}  = 5}

Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.

5 0
2 years ago
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The di
babunello [35]

Solution:

Z score =\frac{X-\sigma}{\mu}

1. For Best Actor

X_{1}= 59 years

\sigma=7.3, \mu=42.0

Z, Score for best actor named, Z_{1}

Z_{1}=\frac{59-7.3}{42}\\\\Z_{1}= \frac{51.7}{42}\\\\Z_{1}=1.23095\\\\ Z_{1}=1.24

Z-Score for best actor = 1.24

2. Z , Score for best supporting actor , called Z_{2}

X_{2}=49 years

\sigma=15, \mu=49.0

 Z_{2}=\frac{49-15}{49}\\\\Z_{2}= \frac{34}{49}\\\\Z_{2}=0.6938\\\\ Z_{2}=0.70      

Z-Score for best supporting actor = 0.70

Z-Score is usually , the number of standard deviations from the mean a point in the data set is.

3. As, Z_{1}=1.24

So, we can say that,Option (B) The Best Actor was more than 1 standard deviation above is not unusual.

4.As, Z_{2}=0.70

So, we can say that,Option(A) The Best Supporting Actor was less than 1 standard deviation below, is not unusual.

8 0
2 years ago
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
ANEK [815]

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

4 0
2 years ago
Wilma can mow a lawn in 3 hours. If Kyle helps her with another mower, the lawn can be mowed in 2 hours. how long would it take
KatRina [158]
It would be 6 hours is Kyle worked alone

7 0
2 years ago
Let f(x)=-5x-4 and g(x)=6x-7. find f(x) + g(x)
DIA [1.3K]
F(x) = -5x - 4

g(x) = 6x - 7

f(x) + g(x) = (-5x-4) + (6x-7)

f(x) + g(x) = x - 11
3 0
3 years ago
Read 2 more answers
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