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HACTEHA
1 month ago
12

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel

ow.
(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)

Which is the simplified product?

2x3 + 6x2 – x – 6
2x3 + x2 – x – 6
2x3 + 5x2 – x – 6
2x3 – x2 – 7x – 6
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0
the accurate answer is option C. Step-by-step interpretation: The distributive property indicates that. Given that Marta multiplied the binomial (2x + 3) by the trinomial. This requires first distributing the first term of the binomial and then the second term across the trinomial expression. Implement the distributive property: Simplify the resulting expression, combining like terms accordingly. Consequently, the simplified outcome is:
Inessa [12.5K]1 month ago
3 0
Marta arrived at the expression. First, observe that. Then, combine like terms that share the same degree. Finally, the correct option is C.
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Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An a
AnnZ [12381]
We determine that the true average calorie content as estimated in the sampled population surpasses the actual calorie content. Step-by-step explanation: An article discussed a pilot study where each of the 58 participants was asked to estimate the calorie count of a 12 oz beer known to have 153 calories. The observed sample mean of calorie estimation was 193, with a sample standard deviation of 88. Let \mu = true average estimated calorie level within the sampled population. Thus, Null Hypothesis, : \mu 153 calories {indicating that the true average estimated calorie content does not exceed the actual amount}. Alternative Hypothesis, H_A: \mu > 153 calories {indicating the true average estimation exceeds the actual}. The appropriate test statistic would be a one-sample t-test statistic, as we lack knowledge of the population standard deviation; Test Statistic = ~t = t_n_-_1

where, sample mean estimated calorie level = 193 calories, s = sample standard deviation = 88, and n = sample size = 58. Therefore, the test statistic = ~t = 3.462. The t-table indicates a critical value of 1.6725 for 57 degrees of freedom at a 0.05 significance level. Since our test statistic of 3.462 > 1.6725, we have sufficient evidence to reject the null hypothesis; thus, affirming that the true average estimated calorie content in the sampled population exceeds the real content.

8 0
1 month ago
if a student scored 78 points on a test where the mean score was 84.5 and the standard deviation was 3.1. the student's z score
Inessa [12570]

Answer:

(value - mean)/standard deviation.

Now substitute 78 for the value, 84.5 for the mean, and 3.1 for the standard deviation.

Step-by-step explanation:

5 0
2 months ago
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
tester [12383]

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

2. 5 0 x + 3. 5 0 y \leq 3 0

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

x

x

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.

4 0
2 months ago
Read 2 more answers
Simplify the expression: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
lawyer [12517]

3x4-2x3-2x2+4x-10

Explication étape par étape:

Il suffit de regrouper les termes similaires.

7 0
1 month ago
The Homerun Hitter’s Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollar
AnnZ [12381]

Response:

the result is 6789

Detailed breakdown:

hope this assists❤️

can I get brainliest?❤️

3 0
1 month ago
Read 2 more answers
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