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2 years ago

Factorise each of the following expressions a) x2 + 5x + 6 d) z2 + 8z + 12

Mathematics

1 answer:

CaHeK987 [17]2 years ago

3 0

Answer:

a)x2+5x+6

x2+(3+2)x+6

x2+3x+2x+6

x(x+3)+2(x+3)

(x+3)(x+2)

b)z2+8z+12

z2+(6+2)z+12

z2+6z+2z+12

z(z+6)+2(z+6)

(z+6)(z+2)

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Sue spent 1 hour 19 minutes less than Jared reading last week. Jared spent 45 minutes less than Pete. Pete spent 3 hours reading

polet [3.4K]

Sue spend 56 minutes in reading.

<h3>What is Unitary Method?</h3>

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Sue spent 1 hour 19 minutes less than Jared

Lucas spent 45 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Jared spent

= 3 hours or (180 minutes) - 45 minutes

= 2 hours 15 minutes.

Now, Seu spent = 2 hrs 15 minutes - 1 hour 19 minutes

= 56 minutes

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1 year ago

3. For the function, :c(X)=x^2+4x-5 over x+5<br> (a) Identify the restricted domain value(s).

Mrrafil [7]

Domain is all the possible inputs of an equation. In this example, the only concern is the x + 5 because the denominator cannot equal 0 because we can't divided by 0. So we set x + 5 equal to zero and solve for x.

x + 5 = 0
x = -5
The restriction is that x cannot equal -5.

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3 years ago

asma owns $52000 in student loans for college. if the loan will be repaid in 5.5 years and the interest rate charged is 6.75% th

Ahat [919]

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2 years ago

To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Yakvenalex [24]

<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>

<em><u>Solution:</u></em>

Given that,

$\text{ product of } 42.12 \text{ and } 10^3$

Which means,

$42.12 \times 10^3$

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

$42.12 \times 10^3 = 42120$