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abruzzese [7]
2 years ago
9

four times a number minus twice another number is -16 the sum of the two numbers is -1 find the numbers

Mathematics
1 answer:
lianna [129]2 years ago
6 0

Answer: The numbers are -3 and 2

Step-by-step explanation:  Let x be the first number and y be the second number

then according to given statements the linear equations will be:

"Four times a number minus twice another number is -16"

"The sum of the two numbers is -1"

From equation 2:

Putting y = -x-1 in equation 1

Subtracting 2 from both sides

Dividing both sides by 6

Putting x = -3 in equation 2:

Hence,

The numbers are -3 and 2

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Which expression is equvialent to this expression 3/4 (4h -6 )
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Answer:

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Step-by-step explanation:

4 0
3 years ago
Find the value of -1/3-(-5/12)
Svet_ta [14]
1/12 or decimal form 0.083 with repeating line
5 0
3 years ago
Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end be
MaRussiya [10]

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

f(x) = \frac{8x - 1}{2x - 9}

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

  • \lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} \frac{8x}{2x} = \lim_{x \rightarrow -\infty} 4 = 4.
  • \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{8x}{2x} = \lim_{x \rightarrow \infty} 4 = 4.

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

#SPJ1

7 0
2 years ago
Fran has a plank of wood 4.65 meters long. She wants to cut it into pieces 0.85 meters long. How many pieces of wood that length
DochEvi [55]
5 pieces. 4.65÷0.85=5. so u divide and ur answer is 5
3 0
3 years ago
From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. Wh
Brilliant_brown [7]

Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

Step-by-step explanation:

Volume =  height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x  (30-2x) (30-2x) ---> eq(1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative w.r.t 'x'

dV/dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

dV/dx = 0

so,  4 (3x² - 60x +225)=0

3x² - 60x+225=0   (taking 3 common)

x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

x=15

Or x-5=0

x = 5

if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

7 0
3 years ago
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