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andreyandreev [35.5K]
3 years ago
7

Please help me ASAP

Mathematics
1 answer:
storchak [24]3 years ago
5 0
What do you need help on, I don’t see the picture ?????
You might be interested in
Is the term (X + 2) a factor of the polynomial shown below?
QveST [7]

The correct answer is: No, the remainder is -114

Further explanation:

In order to check whether the given term is a factor of given polynomial or not we will put

x+2=0

x=-2

Given

f(x)=x^3 - 10x^2 + 27^x - 12\\f(-2)=(-2)^3-10(-2)^2+27(-2)- 12\\=-8-10(4)-54-12\\=-8-40-54-12\\=-114

As the remainder is -114, the term x+2 is not a factor of given polynomial

The correct answer is: No, the remainder is -114

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/12933039
  • brainly.com/question/12933852

#LearnwithBrainly

3 0
3 years ago
You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv
pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0
3 years ago
Farmers often plant crops in circular areas because one if the most efficient watering systems for crops provides water in a cir
Nesterboy [21]

Answer:

A

Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.

And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.

So the scale factor of the actual farm to the photo is A that is 1 to 50.


8 0
2 years ago
For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when
Sergeu [11.5K]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

8 0
2 years ago
Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
2 years ago
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