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Blababa
1 day ago
5

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

x – 3 What possible changes can Martha make to correct her homework assignment? Select two options. The first term, 5x3, can be eliminated. The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2. The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3. The constant, –3, can be changed to a variable. The 7x can be eliminated.
Mathematics
2 answers:
AnnZ [3.9K]1 day ago
8 0

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)

Leona [4.1K]1 day ago
4 0

Response: Options A and B for edg 2020

Detailed explanation:

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Response:

45.54m

Step-by-step breakdown:

See the provided figure

Scarlett's height is represented as AB = 1.65 meters

She stands 90 meters away from the dam, so BE = AC = 90 m

Scarlett measures the angle of elevation to the dam's summit at 26º, which is ∠DBE = 26°

Height of the Dam = DC = EC+DE

AB = EC = 1.65

In triangle BDE

Tan \theta = \frac{Perpendicular}{Base}

Tan 26^{\circ} = \frac{DE}{BE}

Tan 26^{\circ} = \frac{DE}{90}

0.48773 \times 90=DE

43.89=DE

Height of the Dam = DC = 1.65 + 43.89 = 45.54 m

Therefore, the dam's height is 45.54 m.

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6 days ago
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A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
babunello [3666]

Step-by-step explanation:

The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:

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13 days ago
22.Island A is 160 miles from island B. A ship captain travels 170 miles from island A and then finds that he is off course and
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We can summarize that

By applying the law of cosines: 


c² = a² + b² - 2abcos(C) 

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a,b, and c represent the triangle's sides and C denotes the angle opposing side c.

Let us assign:

a=170 miles

b=200 miles

c=160 miles

Thus, we establish: 

160² = 170² + 200² - 2(170)(200)cos(C).


We now aim to solve for C.


25,600 = 28,900 + 40,000 - 68,000cos(C).

25,600 - 28,900 - 40,000 = -68,000cos(C).

-43,300=-68,000cos(C).

Thus, cos(C)=0.6367.

C=arc cos(0.6367)--------> C=50.45°.


Consequently, the captain should adjust toward island B by

180 - 50.45 = 129.55 degrees.


The final answer is

129.55 degrees

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5 days ago
the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​
babunello [3666]

Response:

Detailed explanation:

The length of the pool is longer than its width by 8 meters.

If we designate L as length and W as width, we can express this as:

L = 8 + W

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Note:

Area of a Rectangle = Length x Width

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To adjust the equation, subtract 105 from both sides:

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15 days ago
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Answer:

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Given:

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We need to determine the cost per kg of the salami.

Solution:

We will use the unitary method to find the cost for one kilogram of salami.

If 1\frac{3}{7} kg of salami costs $13

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When dividing mixed numbers, we convert them to fractions.

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