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Ket [755]
3 years ago
7

Solve for xxx. Write the smaller solution first, and the larger solution second.

Mathematics
2 answers:
____ [38]3 years ago
4 0

Answer:

x=-5\text{ or }x=2

Step-by-step explanation:

We have been given an equation x^2+3x-10=0. We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is -10 and whose sum is 3.

We know that such two numbers are 5\text{ and }-2.

x^2+5x-2x-10=0

(x^2+5x)+(-2x-10)=0

x(x+5)-2(x+5)=0

(x+5)(x-2)=0

Using zero product property, we will get:

(x+5)=0\text{ or }(x-2)=0

x+5=0\text{ or }x-2=0

x=-5\text{ or }x=2

Therefore, the solutions for our given equation are x=-5\text{ or }x=2.

S_A_V [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The real answers are x=2 and x=3

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The play director spent 190 190190 hours preparing for a play. That time included attending 35 3535 rehearsals that took varying
sineoko [7]

Answer:

The equation 35x+93\frac{3}{4}=190 gives average time spent on 35 rehearsals.

Step-by-step explanation:

Please consider the complete question.

The play director spent 190 hours preparing for a play. That time included attending 35 rehearsals that took varying amounts of time and spending 93\frac{3}{4} hours on other responsibilities related to the play. What question does the equation 35x+93\frac{3}{4}=190 help answer?    

Since time spent on each rehearsal is 35 hours, so time spent on 35 rehearsals would be 35x.

93\frac{3}{4} hours is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

35x+\frac{375}{4}=190

35x=190-\frac{375}{4}

35x=\frac{760}{4}-\frac{375}{4}

35x=\frac{760-375}{4}

35x=\frac{385}{4}

35x=96.25

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

Therefore, equation 35x+93\frac{3}{4}=190 gives average time spent on 35 rehearsals.

8 0
3 years ago
Jay arranges 18 feet of fencing into a rectangle that is 5 feet long and 4 feet wide. Show that he could make a larger area by a
lara [203]
If Jay arranged the fence into a square each side would be 4.5 ft .
6 0
3 years ago
(Power and Energy) If electricity costs $0.09 per kilowatt hour, find the cost (in dollars) of running each of the following ele
Dmitriy789 [7]

Answer:

a) $0.97

b) $0.16

c) $24.30

Step-by-step explanation:

$0.09 per kilowatt hour = $0.09/kWh

6h/day 30 days = 180h

a) 60W*180h = 10800 Wh = 10.8kWh

10.8kWh * $0.09/kWh = $0.97

b) P = V*I

V = 120V

I = 80mA = 80/1000 = 0.08A

P = 120*0.08 = 9.6W

9.6W*180h = 1728 Wh = 1.728kWh

1.728kWh * $0.09/kWh = $0.16

c) 1500W*180h = 270000 Wh = 270kWh

270kWh * $0.09/kWh = $24.30

5 0
3 years ago
3.6399; thousandths round it ​
shepuryov [24]

Answer:

3.6399 = 3.640

Step-by-step explanation:

3.6399\\1\:2\:3

Rounding to nearest thousandth means rounding to 3 decimal place

(0 to 4) =round down

(5 to 9)= round up

3 0
3 years ago
Television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a q
kobusy [5.1K]

Answer:

Option d

Step-by-step explanation:

Given that television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a question concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question.

Observed data is

Poll              Scien      Online total

   

approve    339   385      724

disapprove 780        573     1363

                 1119        958     2087

H_0: Both scientific and online are consistent\\H_a: not consistent

(Two tailed chi square test)

Let us find out expected and chi square

Expected = row total x column total/grand total

The cell count expected in the online poll for those who approve

=\frac{724*968}{2087} \\=333.94

chi square = 7.81

Hence option d is right.

4 0
3 years ago
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