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Mumz [18]
3 years ago
5

What is the product of ( x + 3) ( x - 4)?

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

<em>First, Outer, Inner, Last</em>.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

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A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 30 feet. If the mat
shutvik [7]

Answer:

$57.5 is the total cost to build the pen.

Step-by-step explanation:

We are given the following in the question:

A livestock pen is built in the shape of a rectangle.

The length of rectangle is two times the width.

Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

l = 2w

Perimeter = 30 feet

\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30

Putting values,

2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10

The length of rectangle is 10 feet and width of rectangle is 5 feet.

If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides

Cost of building =

=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5

Thus, $57.5 is the total cost to build the pen.

7 0
3 years ago
Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x
ipn [44]

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

5 0
3 years ago
If r || s and m 5 = 65°, what is m 1?
lesya [120]

1 and 5 are corresponding angles, so both have the same measure:

m 1 = m 5

m 1 = 65º


Answer:  option D. 65º.


I hope this helps. =)

8 0
4 years ago
What is the slope of the line that passes through the pair of points? (1, 7), (10, 1) Question 19 options: 2/3 -2/3 3/2 -3/2
notsponge [240]

Slope is defined simply as delta y over delta x or the change in y over the change of x. We need to decided what points is going to be the start or the end. Typically, the point farther to the right of the graph is considered the end point.

Start: (1, 7)

End: (10, 1)

m = \frac{1 - 7}{10 - 1} \\\\\\m = \frac{-6}{9} \\\\\\m = \frac{-2}{3}


8 0
3 years ago
Solve for 2-2n=3n+17
muminat
2 - 2n = 3n + 17 > -2n = 3n + 15 > -5n = 15 > n = -3
6 0
3 years ago
Read 2 more answers
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