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Alex787 [66]
3 years ago
5

X² + y - 8=0 x + y = 5

Mathematics
1 answer:
never [62]3 years ago
5 0
X = 1 ± √13
———-
2

y = 9 ± √13
————
2
You might be interested in
What is the probability of drawing a black ace followed by a heart out
Verdich [7]

Correct option C) 0.98%

<u>Step-by-step explanation:</u>

We know that  , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out  of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

⇒ P(Black) = \frac{2}{52}

Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

⇒ P(Heart) = \frac{13}{51}

So , Probability of occurring both events is :

⇒ P(Black)(P(Heart))

⇒ \frac{2}{52} (\frac{13}{51} )

⇒ 0.0098

Percentage = 0.0098(100) = 0.98%

Therefore , Correct option C) 0.98%

7 0
3 years ago
Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti
Elodia [21]

The inverse of the function f(x)  = 4(x-3)² + 2 is f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

The given function is:

f(x)   =  4(x  - 3)²  +  2

To find the inverse of the function:

Make x as the subject of the formula

4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3

Replace x by f^{-1}(x) and replace f(x) by x

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Therefore, the inverse of the function is:

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Learn more here: brainly.com/question/17285960

4 0
2 years ago
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
Suppose your school cost for this term were $7600 and financial aid covered 3/4 of that amount
netineya [11]
Financial aid would cover 5,700 and you would need to pay 1,900
5 0
3 years ago
Solve the following proportion4 x— = —7 28x=
Ierofanga [76]
Answer:

x = 16

Explanations:

The given rquation is:

\frac{4}{7}=\text{ }\frac{x}{28}

Step 1: Cross multiply the equations. That is 28 multiplies 4 and 7 multiplies x:

28\text{   x   4    =     7   }\times\text{    x} 112 = 7x

Step 2: Divide both sides by 7

\frac{112}{7}=\text{ }\frac{7x}{7} 16 = x x = 16
7 0
1 year ago
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