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TiliK225 [7]
4 years ago
12

How do I find the factor of the trinomial of y^2+7y-30

Mathematics
1 answer:
wel4 years ago
7 0
Find two numbers that multiply to -30 (last term) and add to 7 (middle coefficient)

The two numbers are 10 and -3
10 times -3 = -30
10 plus -3 = 7

Using those two values gets us the two factors (y+10) and (y-3)

Therefore, y^2+7y-30 factors to (y+10)(y-3)

The equation y^2+7y-30 = (y+10)(y-3) is true for all values of y.
You might be interested in
Heidi is making a tower using sugar cubes. Each sugar cube has a side length of 1 cm. Each layer has 4 sugar cubes, arranged in
Archy [21]

Answer:

3 layers

Step-by-step explanation:

Given

L = 1cm --- side length of the cube

Each layer = 2 * 2 cube

Volume = 24cm^3

Required

Determine the number of layers

First, we calculate the volume of each layer:

The length of the layer is:

Length = 2 * L

Length = 2 * 1cm

Length = 2cm

Next, we calculate the volume of each layer:

Volume = Length^3

Volume = (2cm)^3

Volume = 8cm^3

The number of layer is calculated by dividing the volume of the tower by the volume of each layer

Layers = \frac{24cm^3}{8cm^3}

Layers = 3

4 0
3 years ago
16 tablespoons equals 1 cup create a double number line that shows how many tablespoons you would need to use to make 5 cups of
gladu [14]
16tbsp/1cup.
Multiply by 5 for 5 cups (I recommend cross multiplying with fractions)
80tbsp/5cups
Multiply by 1.25
20tbsp/1.25cups
Multiply by 2.7
43.2tbsp/2.7cups
Since you can’t have .2 of a table spoon, we need to round up.
44tbsp/2.7cups

Total tbsp:80+20+44tbsp=144tbsp

We would need 144 tablespoons for 8.95 cups (9 for the same reason that we rounded up with the table spoons)
3 0
3 years ago
Can someone help asap!!?
Vlada [557]

Answer:

1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4

Step-by-step explanation:

1.

A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.

2.

A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.

3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.

4 and 5:

To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.

4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9

5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.

4 0
3 years ago
Divide √9x2 by √18y2
Murrr4er [49]

The answer is x√2/2y

Hope this helps! :)


3 0
4 years ago
A) what is the area of a square park whose perimeter is 2000m.
yawa3891 [41]

Answer:

Step-by-step explanation:

Perimeter of square park = 2000 m

4*side = 2000

   side = 2000 ÷ 4

  side = 500 m

Area of square park = side * side

                                 = 500 * 500

                                 = 250000 m²

b) a^{m}*a^{n} =a^{m+n}\\\\2^{2}*2^{5} = 2^{2+5} = 2^{7}

3 0
3 years ago
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