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3 years ago

Which of the following is the factored form of the quadratic *

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$12x^2+5x-2=\\\\(4x-1)(3x+2)$

You can check this by working backwards and expanding:

$(4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2$

Hope this helps!

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The replacement set for an equation is {10, 24, 25, 36}. The equation is represented by the sentence, "56 of a number is 30." Wh

Margaret [11]

Answer:

The answer is {36}

Step-by-step explanation:

I took the quiz hope this helps

4 0

3 years ago

Which of the following is equivalent to 60 g?

guajiro [1.7K]

Answer:

The number of cups that are equivalent to 60 grams varies based on what is being measured.

Step-by-step explanation:

5 0

3 years ago

.Calculate the time in which ₦1,500 will amount to ₦9,000 at 20% per annum.

katovenus [111]

Answer:

30 yrs

Step-by-step explanation:

SI = PRT/100

T = I × 100/PR

= 9000×100/1500×20

= 900000/30000

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3 0

3 years ago

The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n

m_a_m_a [10]

Question:

The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

Answer:

$f(n) = n^2 + n+1$

Step-by-step explanation:

Given

$f(0) = 1$

$f(n) = f(n-1) + 2n$

Required

Write an explicit formula

Let n = 1

$f(1) = f(1-1) + 2*1$

$f(1) = f(0) + 2$

$f(1) = 1 + 2 = 3$

Let n = 2

$f(2) = f(2-1) + 2*2$

$f(2) = f(1) + 4$

$f(2) = 3 + 4 = 7$

Let n =3

$f(3)=f(3-1) + 2 * 3$

$f(3)=f(2) + 6$

$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

$f(1) = 3= 1 + 2 * 1=1+0*1*2*1$

$f(2) = 7= 3 + 2 * 2=1+1*2+2*2$

$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

Following the above pattern:

$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

$f(n) = 1 + n^2 + n$

$f(n) = n^2 + n+1$

3 0

2 years ago

How many solutions can be found for the linear equation?

QveST [7]

Answer:

one solution

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

3 0

3 years ago