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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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The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option
postnew [5]

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

9 0
3 years ago
Read 2 more answers
you were given 15$ from your auntie to go to the mall. you spend 6$ on snacks, and 5$ on shirt on your way to the car,you found
Finger [1]
The answer would be 14





Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
5 0
4 years ago
A disjunction is a statement formed by combining two statements with the word and. True False
Zarrin [17]
A disjunction is a statement formed by combining two statements with the word and is FALSE.

Answer: B) False or the second option.
3 0
3 years ago
What is the answer to 5 3x + 12- 6x = -9
Katarina [22]

Answer:

x=-21/47

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need to know the area
nadya68 [22]

Answer:

67.5 units²

Step-by-step explanation:

We can break this problem down in two parts: The upper triangle and the lower trapezoid.

The upper triangle:

Use the formula \frac{1}{2} (b)(h) to compute the area of the triangle. Base = 10 and Height = 7.

1/2 (10)(7)

1/2 (70)

=35 units².

The lower trapezoid:

Use the formula \frac{1}{2}(base_{1} + base_{2}) (height) to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.

1/2 (10 + 3)(5)

1/2 (13)(5)

1/2 (65)

=32.5 units²

So, add the two areas of each shape:

35 + 32.5 = 67.5 units².

5 0
3 years ago
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