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2 years ago

Factor z2 + 11z + 28. (z + 7)(z + 4) (z + 11)(z + 2) (z + 2)(z + 8)

Mathematics

1 answer:

alisha [4.7K]2 years ago

6 0

Answer:

The First One

Step-by-step explanation:

Key Answer: 7×4=28 .

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Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.

marta [7]

Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
      = 1 * 4 dollars
      = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

4 0

2 years ago

Find the value of each expression. Show your work.

Verdich [7]

Answer:

$A) (1.2)^{2} = 1.44$

$B)2^ 3+17-(3\times 4) = 13$

$C)\frac{(9)^2}{(3)^3} = 3$

Step-by-step explanation:

Here, the given expressions are:

A) $(1.2)^{2}$

Solving this, we get

$(1.2)^{2} = 1.2 \times 1.2 = 1.44$

⇒ $(1.2)^{2} = 1.44$

B) $2^ 3+17-(3\times 4)$

Now, solving this, we get

$2^ 3+17-(3\times 4) = (2 \times 2 \times2) + (17 -12)\\=8 + 5 = 13$

⇒ $2^ 3+17-(3\times 4) = 13$

C) $\frac{(9)^2}{(3)^3}$

Simplifying this, we get

$\frac{(9)^2}{(3)^3} = \frac{(9\times9)}{(3 \times 3\times3)} = 3$

⇒ $\frac{(9)^2}{(3)^3} = 3$

4 0

2 years ago

A carpenter has a wooden dowel that is 72 centimeters long. She wants to cut it into 2 pieces so that one piece is 5 times as lo

Jobisdone [24]

Let's say that the shorter piece is x and the longer piece is 5x (because it's 5 times as long). x+5x=72 and 6x=72. Dividing both sides by 6, we get that x=12, and 72-12=the length of the other piece (since there are only 2 pieces)=60

6 0

2 years ago

Factorise fully the following:<br>a) x² + 2x<br>b) 2x² - 6x<br>c) 15x - 10x³<br>d) 9x² + 3x³

Lostsunrise [7]

Answer:

a) $x(x+2)$