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2 years ago

Is it true or false lollll

Mathematics

2 answers:

Reika [66]2 years ago

4 0

Answer:

I think true im sorry if its not

Vikki [24]2 years ago

3 0

Since parallel lines never cross there can be no interception, that is for the system of the graph that has parallel lines. There cannot be no solution this is called inconsistent

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If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)

Elina [12.6K]

If we write $k$ where we see $x$ in the equation and set the result equal to $-10$ , we get the result.

$f(k)=k(k)^3+k^2-k(k)+2$
$=k^4+k^2-k^2+2$
$=k^4+2=-10$
$k^4=-12$
$k_{1}=\sqrt[4]{3}(-1-i)$
$k_{2}=\sqrt[4]{3}(-1+i)$
$k_{3}=\sqrt[4]{3}(1-i)$
$k_{4}=\sqrt[4]{3}(1+i)$

4 0

1 year ago

A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr

docker41 [41]

Area of wooden support is 36 square inches

Solution:

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

The area of trapezoid is given as:

$area = \frac{a+b}{2} \times h$

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

$area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36$

Thus area of wooden support is 36 square inches

6 0

3 years ago

Lorico [155]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Price of home = $220,000

Down payment = 20%

3 points at closing

30 years fixed rate mortgage at 7%

A.)The down payment :

20% of price

0.2 × $220,000 = $44,000

B.) Amount of the Mortgage :

Price - down payment

$220,000 - $44,000 = $176,000

C.) Amount to be paid for the 3 point of closing :

3% of mortgage amount

0.03 * $176,000 = $5,280

D.) monthly payment :

(mortgage amount(1 + rate)) / 30* 12

176000(1 + 0.07)

($176,000 + $12320) / 360

$523

E.) Total cost of interest :

0.07 * 176000 = $12,320

8 0

2 years ago

Can you pls help me it’s timed

Lerok [7]

Answer:

The median is 22

Step-by-step explanation:

6 0

3 years ago

What is the range, min, and max of the function f(x)=13-20x-x²-3x⁴

Naya [18.7K]

Answer:

range: (-∞, 29.4336]
min: -∞
max: 29.4336

Step-by-step explanation:

I found these using a graphing calculator. (See attached)

The function is a polynomial of 4th degree with a negative leading coefficient. (The coefficient of the 4th-degree term is -3.) Therefore, it opens downward and has a range that extends to -∞. This function only has one global maximum and no local minimum.

_____

The maximum can be found by solving the cubic equation that results from taking the derivative of this function and finding the root of that:

df/dx = -12x^3 -2x -20 = 0

There are formulas for the solutions of a cubic, but the one negative real root of this cubic can be found easily with a graphing calculator using iteration:

x ≈ -1.13879908894.

Dividing by -2, the above derivative function can be written as ...

g(x) = 6x^3 +x +10

The one real zero of it can be found using Newton's Method iteration.

The Newton's Method iterator function is

h(x) = x - g(x)/g'(x)

where g'(x) is the derivative of g(x), often available as a function on the graphing calculator.

The starting value for the iteration can be the x-value obtained from the graph: -1.139. It only takes about 2 or 3 iterations to find x to the precision of the calculator: x = h(h(x)). This x is the x-coordinate of the maximum, so f(x) is the maximum value: 29.4335546516.

The attachments show the function definitions and their use for finding the maximum of f(x) using a TI-84 calculator. Y₁ is the function f(x); Y₂ is its derivative, shown above as g(x). Y₃ is the iterating function, shown above as h(x). The nDeriv( ) function is a calculator function that finds the numerical derivative of its argument.

6 0

3 years ago