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labwork [276]
4 years ago
15

Simplify the product using FOIL. (2x – 7)(5x 5)

Mathematics
2 answers:
shusha [124]4 years ago
6 0

Answer:

10x^2-25x-35

Step-by-step explanation:

The FOIL method is used to multiply two binomials.

FOIL stand for:

First : Multiply the first term in each set of parenthesis.

Outer : Multiply the outer term in each set of parenthesis.

Inner : Multiply the inner term in each set of parenthesis.

Last: Multiply the last term in each set of parenthesis.

Given that:

(2x-7)(5x+5)

Using the foil method:

2x(5x+5)-7(5x+5)     [Using distributive property]

⇒10x^2+10x -(35x+35)

⇒10x^2+10x -35x-35

Combine like terms:

⇒10x^2-25x-35

Therefore, the product of (2x – 7)(5x+5) using FOIL method is, 10x^2-25x-35

weqwewe [10]4 years ago
5 0
10x squared - 25x squared + 10x
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Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...
Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

a_n = a_1 + (n - 1)d

Here, a_1 = -1

a_{75} = -1 + (75 - 1)(16)

a_{75} = 1183

3 0
3 years ago
Please help show work too please thank you
Black_prince [1.1K]
(3x-9) +(x+19)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

2x+(2x+10)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

yes they are similar
6 0
3 years ago
Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
3 years ago
QUESTION 3 What is the area of the parallelogram?
lara31 [8.8K]

Answer:

C. 275.88‬ m squared

24.2 * 11.4 = 275.88‬ m squared

6 0
3 years ago
Which expression is equivalent to (r^-7)^6
WITCHER [35]

Answer:

r^{-42}

Step-by-step explanation:

(r⁻⁷)⁶ = r⁽⁻⁷⁾ˣ⁶

      = (r)⁻⁴²

7 0
3 years ago
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