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ValentinkaMS [17]

3 years ago

13

Find the real solutions of the equation by graphing. 6x=9+x^2

2 answers:

Degger [83]3 years ago

3 0

The solution of the equation is 3.

seropon [69]3 years ago

3 0

Answer:

(3,0) is the real solution.

Step-by-step explanation:

we have been given the equation:

$6x=9+x^2$

We have to first write the given equation in standard form which is:

$x^2-6x+9$

We will factorize the given quadratic equation by middle term splitting:

$x^2-3x-3x+9$

$\Rightarrow x(x-3)-3(x-3)$

$\Rightarrow (x-3)(x-3)$

Hence, x=3,3 are the real solutions of the given equation

Please look at the attachment for the graphing.

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39+40+41+42+...+133+134 find the sum

SVETLANKA909090 [29]

Answer:

429

Step-by-step explanation:

39+40+41+42+133+134=429

5 0

3 years ago

ivan earns 8$ each time he walks his neighbors dog. He already walked the dog 5 times. how many more times does he need to walkt

Pie

He has already earned $8 5 times, so we know that he has 8×5=$40. 88-40=48, so he needs $48 more. 48÷8=6, so he needs to walk the neighbour's dog 6 more times to earn that extra $48

8 0

3 years ago

Read 2 more answers

Explain why there ia 1/3cup of fruit in half a smoothie

Eddi Din [679]

Well, I think that there is 1/3 cup of fruit in 1/2 a smoothie because the other half is used on the base solution

3 0

3 years ago

An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

n200080 [17]

Answer:

(a)

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

(b)

$P(3 \le x \le 6) = 0.30$

$P(4 \le x)=0.60$

Step-by-step explanation:

Given

$F(x) = \left[\begin{array}{ccc}0& x$

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

The calculation is as follows:

$0.30 - 0 = 0.30$

$0.40 - 0.30 = 0.10$

$0.45 - 0.40 = 0.05$

$0.60 - 0.45 = 0.15$

$1 - 0.60 = 0.40$

The x values are gotten by considering where the equality sign is in each range.

$1 \le x < 3$ means $x = 1$

$3 \le x < 4$ means $x = 3$

$4 \le x < 6$ means $x=4$

$6 \le x < 12$ means $x = 6$

$12 \le x$ means $x = 12$

Solving (b):

$(i)\ P(3 \le x \le 6)$

This is calculated as:

$P(3 \le x \le 6) = F(6) - F(3-)$

From the given function

$F(6)= 0.60$

$F(3-) = F(1) = 0.30$

So:

$P(3 \le x \le 6) = 0.60 - 0.30$

$P(3 \le x \le 6) = 0.30$

$(ii)\ P(4 \le x)$

This is calculated as:

$P(4 \le x)=1 - F(4-)$

$P(4 \le x)=1 - F(3)$

$P(4 \le x)=1 - 0.40$

$P(4 \le x)=0.60$

8 0

3 years ago

. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If so

kherson [118]

Answer:

B-14

Step-by-step explanation:

Divide 220.50 by 15.75 and you will get 14

Hope it can help you lovelots

4 0

3 years ago

Read 2 more answers