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2 years ago

Choose the correct simplification of (3x3 + 2x2 − 5x) − (8x3 − 2x2)

Mathematics

2 answers:

lys-0071 [83]2 years ago

6 0

Answe

-5x³ + 4x² - 5x

Step-by-step explanation:

got it right on the quiz

zmey [24]2 years ago

5 0

(3x³ + 2x² - 5x) - (8x³ - 2x²) =
3x³ + 2x² - 5x - 8x³ + 2x² =
-5x³ + 4x² - 5x

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O find the minimum value of the quadratic expression −4x2+8x−25,

fredd [130]

Answer:

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

Step-by-step explanation:

we have

$-4x^{2}+8x-25$

This is a vertical parabola open downward

The vertex is a maximum

Find the vertex

step 1

Factor the leading coefficient -4

$-4(x^{2}-2x)-25$

step 2

Complete the square

$-4(x^{2}-2x+1-1)-25$

step 3

$-4(x^{2}-2x+1)-25+4$

$-4(x^{2}-2x+1)-21$

step 4

Rewrite as perfect squares

$-4(x-1)^{2}-21$

the vertex is the point (1,-21)

The maximum value of the quadratic equation is (1,-21)

therefore

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

5 0

2 years ago

A system of equations is given below:

algol [13]

The given system of equations is:

y = 4x − 3 ...(1)

2x + 7y = 41 ...(2)

Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.

So, if we will substitute y=4x-3 in equation (2) then we will get,

2x+7(4x-3)=41

Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.

4 0

2 years ago

Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a)

rjkz [21]

Answer:

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.

3 0

2 years ago

Consider the set A, of all integers from 1 to 10 inclusive (that means the 1 and the 10 are included in this set) Give a set B t

Mademuasel [1]

Answer:

$C^{I}$ = {2, 4, 10}

Step-by-step explanation:

A set is a collection of objects called elements. These element are refered to as members of the set.

Set A contains all integers from 1 to 10 inclusive;

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A subset of a given set implies that every element of the subset are also elements of the given set. Set B is a subset of A;

B = {1, 3, 5, 6, 7, 8, 9}

Complement of a given set refers to elements not in the general set. Set C is the complement of B;

$C^{I}$ = {2, 4, 10}

3 0

2 years ago

Which ordered pairs in the form (x, y) are solutions to the equation 3x – 4y = 21? Choose all answers that are correct.

bekas [8.4K]

A. (−3, 3)
3x – 4y = 21
3(-3) - 4(3) = 21
-21 = 21 >>>>> not equal

B. (−1, −6)
3(-1) - 4(-6) = 21
21 = 21 >>>>>>>>>>Equal

C. (7, 0)
3(7) - 4(0) = 21
21 = 21>>>>>>>>>>equal

D. (11, 3)
3(11) - 4(3) = 21
21 = 21 >>>>>>>>>equal

5 0

2 years ago

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