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Mars2501 [29]
3 years ago
5

Multiply (x-6)(4x + 3) A. 47-32-18 B. 4) - 24%-18 C. 47 - 21%-18 D. 4/2 - 18

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

4x² - 21x - 18

Step-by-step explanation:

Use FOIL.

(x-6)(4x+3)\\\\x*4x = 4x^2\\\\x * 3 = 3x\\\\-6 * 4x= -24x\\\\-6 * 3 = -18\\\\\\4x^2+3x-24x-18\\\\\boxed{4x^2-21x-18}

Hope this helps.

NeTakaya3 years ago
5 0

Answer:

4x² - 21x - 18

Step-by-step explanation:

This is a quadratic expression

SOLVING:

(x - 6)(4x + 3)

x(4x + 3) -6(4x + 3)

4x² + 3x - 24x - 18

collecting like terms

<u>4x² - 21x - 1</u><u>8</u>

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Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

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x = 23

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What is the next value 4 D 7 G 10 J 13
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Dan invests £6800 into his bank account. He receives 5% per year compound interest. How much will Dan have after six years? Give
tia_tia [17]

Answer:

£6800 times (1.05)to the power of 6

=£9112.65

Step-by-step explanation:

5 0
3 years ago
The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o
earnstyle [38]
• First way to solve:
We'll manipulate the expression of the equation:

y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)

If we have y=0:

x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i

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Answer: B


• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.
3 0
3 years ago
A teacher has been given £35 to spend on pencils and rulers.
SSSSS [86.1K]
Packet of 12 pencils = p
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r = £6.00

£35 = 4r + xp
£35 = 4(£6.00) + x(£2.15)
£35 = £24 + £2.15x
£11 = £2.15x
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Since she can buy 5.12 packets of pencils, it is equal to 5 packets of pencils.
3 0
2 years ago
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