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FromTheMoon [43]
2 years ago
5

Please solve in the image

Mathematics
1 answer:
eimsori [14]2 years ago
4 0

Answer:

4

Step-by-step explanation:

The line passes through points (2,0)\,,\,(0,2)

Let (x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)

Equation of a line passing through points (x_1,y_1)\,,\,(x_2,y_2) is given by y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2

So,

f(x)=y=-x+2

Put x=-2

f(-2)=-(-2)+2=2+2=4

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Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer:  ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0
3 years ago
Read 2 more answers
Fill in the blank. A​ _______ probability of an event is a probability obtained with knowledge that some other event has already
motikmotik

Answer:

A​ conditional probability of an event is a probability obtained with knowledge that some other event has already occurred.

Step-by-step explanation:

Conditional probability of an event (A) is a probability obtained with knowledge that some other event (B) has already occurred and is denoted as P(A|B).

It satisfies the following equation:

  • P(A|B)=P(A and B) / P(B)

where P(A and B) is the probability of A and B occurring together.

Conditional probability is applied in many areas of Bayesian statistics and machine learning.

3 0
3 years ago
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen.
uranmaximum [27]

Answer:

Linear equation is y=0.002x+30

Step-by-step explanation:

We have,

Total monthly income (in dollars) = y

Number of times an app is opened = x

As, the advertiser pays $0.002 each time an app is opened.

So, the amount paid by the advertiser if an app is opened x times = 0.002x dollars.

Since, $30 per month is also paid by the advertiser.

Thus, total monthly income 'y' is given by,

y=0.002x+30

Hence, the graph of the linear equation is given below.

8 0
3 years ago
Sean used 3/4 cup of sugar to make a dozen brownies. How much sugar is in each brownie
Law Incorporation [45]
So.  how many times 12 goes into 3/4?

\bf \cfrac{\quad \frac{3}{4}\quad }{12}\implies \cfrac{\quad \frac{3}{4}\quad }{\frac{12}{1}}\implies \cfrac{3}{4}\cdot \cfrac{1}{12}\implies \cfrac{3}{48}\implies \cfrac{1}{16}


6 0
3 years ago
Write an equation of a circle with the given center and radius center (-7,-6) and radius 2
Gala2k [10]
(x-h)^2 + (y-k)^2 = r^2
Where h,k is the center and r is the radius.
(x - -7)^2 + (y - -6)^2 = 2^2
(x+7)^2 + (y+6)^2 = 4
Letter A
8 0
3 years ago
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