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2 years ago

What are the two solutions of x2 – 2x – 4 = –3x + 9?

Mathematics

2 answers:

sleet_krkn [62]2 years ago

7 0

Answer: the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Step-by-step explanation:

Gwar [14]2 years ago

4 0

Answer:

The answer would have to be D

Step-by-step explanation:

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Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference fo

MAVERICK [17]

Answer:

The Null hypothesis represented as

$H_0: \mu_1 - \mu_2 = 0$

The Alternative hypothesis represented as

$H_a: \mu_1 - \mu_2 < 0$

p-value = P(Z < -3.37 ) = 0.000376

There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

Step-by-step explanation:

From the question we are told that

The population size is $n= 650$

The sample size for graduates is $n_1 = 300$

The sample mean for graduates is $\= x _1 = 148$

The sample standard deviation for graduates is $\sigma_1 = 16$

The sample size for under-graduates is $n _2 = 350$

The sample mean for under-graduates is $\= x _2 = 153$

The sample standard deviation for graduates is $\sigma_2 = 21$

The Null hypothesis represented as

$H_0: \mu_1 - \mu_2 = 0$

The Alternative hypothesis represented as

$H_a: \mu_1 - \mu_2 < 0$

Where $\mu_1 \ and \ \mu_2$ are the population mean

Now the test statistic is mathematically represented as

$t = \frac{(\= x_1 - \= x_2 ) }{ \sqrt{ \frac{ (n_1 - 1 )\sigma_1 ^2 + (n_2 - 1)\sigma_2^2}{n_1 +n_2 -2} } * \sqrt{ \frac{1}{n_1} + \frac{1}{n_2} } }$

substituting values

$t = \frac{(148 - 153 ) }{ \sqrt{ \frac{ (300- 1 )16 ^2 + (350 - 1) 21^2}{300 +350 -2} } * \sqrt{ \frac{1}{300} + \frac{1}{350} } }$

$t = -3.37$

The p-values is mathematically evaluated as

p-value = P(Z < -3.37 ) = 0.000376

The above answer is gotten using a p-value calculator at (0.05) level of significance

Looking the p-value we see that it is less than the level of significance (0.05) so Null hypothesis is rejected

Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students

6 0

2 years ago

The scale factor of the dimensions of two similar wood floors is 4:3. It costs $216 to refinish the smaller wood floor. At this

Ipatiy [6.2K]

In order to know the answer, we are going to solve this using proportion.
Given that 4 is the larger wood and 3 is the smaller wood, the cost of the smaller wood is 216 now we are going to find how much is for the larger wood.
Let us represent it this way:
4:3 = x : 216 Let x be the cost of the larger wood.
Just cross multiply and divide
4 x 216 divided by 3 and we get 288. Therefore, the cost is $288. Hope this answer helps.

5 0

2 years ago

Alicia sews costumesfor a school play.She takes an average of 86 minutes to sew each costume.How long would she take to sew 16 o

Goryan [66]

Answer:

1376 minutes

Step-by-step explanation:

Alicia sews costumes for schools

She takes 86 minutes to sew one costume

Therefore the time taken to sew 16 costumes can be calculated as follows

86 mins= 1 costume

x= 16 costume

Cross multiply

x= 86×16

= 1376 minutes

3 0

2 years ago

Which shows a recursive and an explicit formula for a sequence whose initial term is 14 and whose common difference is −4? A. A(

liberstina [14]

Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)

Step-by-step explanation:

Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.

For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,

a, a+d, a+3d, a+4d...

Notice that each new term keep increasing by a common difference 'd'

The nth term of the sequence Tn will therefore give Tn = a+(n-1)d

If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;

Tn = 14+(n-1)-4 (which gives the required answer)

Tn = 14-4n+4

Tn = 18-4n

5 0

2 years ago

Read 2 more answers

Number of dinners = 125 Individual portion = 8 oz. Size of can = 32 oz.

Alona [7]

They would have to buy 32 cans and would have 24 ounces left.
$125 \times 8 = 1000 \div 32 = 31.25$

7 0

2 years ago