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3 years ago

79/9 as a mixed fraction

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Easy!
Since the greatest multiple of 9 lesser than 79 is 72, you get a remainder of 7
8 7/9

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Whats the linear function in slope intercept form : -6x+9y=54

babunello [35]

9y = 6x + 54
divide through by 9:-
y = 6/9y + 54/9

y = 2/3 x + 6 <---- answer

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4 years ago

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Solve Ax + By = -C for x. Ox=-By-C А x=-By+C Ox=By=0

dimulka [17.4K]

Answer:

$\textbf{Option 1}\\$

Step-by-step explanation:

$\textup{Given $ Ax + By = -C$}\\\textup{Subtracting $By$ on both sides, we get,}\\$ Ax = -C -By $\\$

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3 years ago

Which shows the following expression after the negative exponents have been eliminated? xy^-6/x^-4 y^2, x=/0 y=/0

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For this case we have the following expression:
(xy ^ -6) / (x ^ -4y ^ 2)
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Then, for power properties:
Same exponents are added:
(x ^ (4 + 1)) / (y ^ (6 + 2))
(x ^ 5) / (y ^ 8)
Answer:
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(x ^ 5) / (y ^ 8)

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3 years ago

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Learning Task 4. Solve the problem by applying the sum and product of roots

Delvig [45]

Answer:

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

Step-by-step explanation:

For a quadratic equation:

$x^2+bx+c=0$

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

$x^2-18x+80=0$

Factoring by finding two numbers that add up to 18 and have a product of 80:

$(x-10)(x-8)=0$

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

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3 years ago

Consider the function f(x) = 3x − 2. Select True or False for each statement. The y-intercept is 2. A True B False The x-interce

iragen [17]

Answer: A false, B true, C true

Step-by-step explanation:

A) intercept with y axis

That means x=0

y= 3*0-2

y= -2 So A is false

B) intercept with x axis

That means y=0

0= 3x-2

2=3x

2/3= x B is true

C) The form of linear function is

f(x)= mx +n, where m is the slope

In this case m= 3 so C is true

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3 years ago