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Nina [5.8K]
3 years ago
8

Simplify the expression (4x − 3)(x + 5).

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

D using the foil method

Zarrin [17]3 years ago
3 0

Answer: 4x^2+17x-15

Step-by-step explanation:

To simplify the given expression we need to apply the distributive property in algebra.

The distributive property is given by :

a(b+c)=ab+ac

The given expression:

(4x- 3)(x + 5)\\\\=(4x-3)x+(4x-3)5\ \ \ \ \text{By distributive property}\\\\=4x^2-3x+20x-15\\\\=4x^2+(-3+20)x-15\ \ \ \text{Combining like terms}\\\\=4x^2+17x-15

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What is the solution for -3(6x+5)-2(1-17x)=3(5+5x)
Novosadov [1.4K]

-3(6x+5)-2(1-17x)=3(5+5x)

Mutiply the first bracket by -3

(-3)(6x)= -18x

(-3)(5)= -15

Mutiply the second bracket by -2

(-2)(1)= -2

(-2)(-17x)= 34x

Mutiply the third bracket by 3

(3)(5)= 15

(3)(5x)= 15x

-18x-15-2+34x= 15+15x

-18x+34x-15-2= 15+15x

16x-17= 15+15x

move 15 to the other side

sign changes from +15 to -15

16x-17-15= 15-15+15x

16x-32= 15x

move -32 to the other side

sign changes from -32 to +32

16x-32+32=15x+32

16x= 15x+32

move 15x to the other side

sign changes from +15x to -15x

16x-15x=15x-15x+32

x= 32

Answer: x= 32

3 0
3 years ago
Can you do this one pls
nordsb [41]

Answer:

its c

Step-by-step explanation:

6 0
3 years ago
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What is 97 divided by 27​
Vaselesa [24]

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13.85714

Step-by-step explanation:

5 0
2 years ago
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Please help with #49
Anuta_ua [19.1K]

Answer:

A

Step-by-step explanation:

The inverses of functions are basically the Xs and Ys swapped. For example, the inverse of (2,-3) is (-3,2).

Thus, the inverse of (-2,4), (3,2), and (-6,10) will be (4,-2), (2,3), and (10,-6).

the answer is A.

8 0
3 years ago
Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (
NNADVOKAT [17]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2

Thus, the line is of the form:

y = 2x + b

We substitute point (-4,5)and find "b":

5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13

Finally, the equation is:

y = 2x + 13

Answer:

y = 2x + 13

8 0
3 years ago
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