All categories

4 years ago

Expand and simpilfy (x+3)(x+5) GIVING THE BRAINLIEST

Mathematics

1 answer:

umka21 [38]4 years ago

4 0

Answer:

x^2+8x+15

Step-by-step explanation:

You can use FOIL method

(x*x)+(x*5)+(3*x)+(3*5)

x^2+5x+3x+15

x^2+8x+15

You might be interested in

What is the standard form of this function?

Solnce55 [7]

Answer:

D. Rx) = x2 - 4x + 10

Step-by-step explanation:

R(x)=(x-2)^2+6

=(x-2)(x-2)+6

=x^2-2x-2x+4+6

=x^2-4x+10

R(x) = x^2 - 4x + 10

Option D is the answer

8 0

4 years ago

A line passes through the point (4,-2) and has a slope of 5/2 write an equation in point slope form for this line

murzikaleks [220]

Point slope form y-(-2)=5/2(x-4)

3 0

4 years ago

4. X varies directly with the square of y, where x>0,

vampirchik [111]

Answer:

The value of y, when x = 48 is y = 12/5

Step-by-step explanation:

The given parameters are;

x is directly proportional to y

Where x > 0, y > 0

For x = 3. y = 5

Therefore, we have;

x ∝ a·y²

For ,x = 3, when y = 5, we have;

3 = a × 5² = 25·a

∴ a = 25/3

When x = 48, we have;

48 = 25/3×y²

y² = 3/25 × 48 = 144/25

y = √(144/25) = 12/5

y = 12/5

The value of y, when x = 48 is y = 12/5.

6 0

3 years ago

Suppose that Y varies directly with X and Y equals 12 when X equals -2 what is X when Y equals -6

zloy xaker [14]

Answer:

X = 1

Step-by-step explanation:

Y : X

12 : -2

Id we divide both sides by -2 than it would look like this

-6 : 1

So when Y is equal to -6, X is equal to positive 1

5 0

3 years ago

1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)

kozerog [31]

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

Binary to Decimal Conversion (Positional Notation Method)

Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number.
Sum all the values obtained for each digit.
Express the number as a decimal number by placing subscript 10 after it.

For a binary number with 'n' digits:

The right-most digit is multiplied by 2⁰
The left-most digit is multiplied by $\sf 2^{n-1}$

For example, to convert the binary number 111001₂ into a decimal:

$\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}$

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

$=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)$

$= 32+16+8+0+0+1$

$= 57$

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

Question (a)

$\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}$

Therefore, 11₂ = 3₁₀

Question (b)

$\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}$

Therefore, 110₂ = 6₁₀

Question (c)

$\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}$

Therefore, 111₂ = 7₁₀

Question (f)

$\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}$

Therefore, 10011₂ = 19₁₀

Question (i)

$\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181$

Therefore, 10110101₂ = 181₁₀

8 0

2 years ago

Read 2 more answers