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grandymaker [24]
3 years ago
13

Find the product of 2x4(4x2 + 3x + 1).

Mathematics
2 answers:
tresset_1 [31]3 years ago
4 0
2x^4(4x^2 + 3x + 1)=\\\\(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\\\\8x^6 + 6x^5+2x^4

The answer is A.
Bond [772]3 years ago
4 0

Answer:

The product of the 2x^{4}(4x^{2}+3x+1) is 8x^{6}+6x^{5}+2x^{4} .

Step-by-step explanation:

As given the expression in the question be

= 2x^{4}(4x^{2}+3x+1)

First open the bracket

= 2x^{4}\times 4x^{2}+2x^{4}\times 3x+2x^{4}\times 1

Now by using the property

x^{a}\times x^{b}=x^{a+b}

= 8x^{6}+6x^{5}+2x^{4}

Therefore the product of the 2x^{4}(4x^{2}+3x+1) is 8x^{6}+6x^{5}+2x^{4} .

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The Answer is a. –1.2
3 0
2 years ago
A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.
Sindrei [870]

Answer:

<h2>2400GH Cedis </h2>

Step-by-step explanation:

Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)}  \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis

8 0
3 years ago
George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

8 0
3 years ago
Find the axis of symmetry and vertex of the following y= -2x2-3x+2
Mnenie [13.5K]
Y= -2x²-3x+2, (form y = ax² +b .x + c

The parabola opens downward & hence it's Vertex is a MAXIMUM.

We know that the axis of symmetry is -b/2a ==>3/(-4) ==>
x= - 3/4 (axis of symmetry. At x=-3/4 , y = 25/8 = 3.125

Hence the axis of symmetry is x= - 3/4 & the vertex is at (-3/4, 25/8)
8 0
3 years ago
50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , inde
Maurinko [17]

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

\mu = np = 50 \times 0.5 \\ \\ \mu= 25

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, \mu = 25, \sigma = 3.536

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{30.5 - 25}{3.536}

z = \dfrac{5.5}{3.536}

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

7 0
3 years ago
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