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weqwewe [10]
2 years ago
11

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Mathematics
1 answer:
PtichkaEL [24]2 years ago
5 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

  1/3(3) + 11 = 12 . . . substitute for x and y

  1 + 11 = 12 . . . . . . . true

Any point that satisfies the equation is a solution. (3, 11) is a solution.

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Look closely at the character of Alice in the film and the play versions of Alice’s Adventures in Wonderland. Does the character
Tems11 [23]

Answer:

In the movie, Tweedledee and Tweedledum and the talking flowers are incorporated into the original plot from Alice's Adventures in Wonderland. In the book, Alice eats little cakes in the White Rabbit's house to become smaller. In the movie, Alice eats carrots from The White Rabbit's garden to become smaller.

Step-by-step explanation:

3 0
2 years ago
Y=x^2-6x+7 from algebra nation
alina1380 [7]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of
Lana71 [14]

Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

m = 20/-5

m = -4

Get the x intercept

y = mx + b

60 = (-4)(5) + b

b = 60+20

b = 80

so the equation is

y = -4x + 80

f(x) = -4x + 80

5 0
2 years ago
5^(-7)*5^(12)*5^(-2)<br><br> with steps
docker41 [41]

Answer:

=125

Step-by-step explanation:

5−7)(512)(5−2)

=

1

78125

(512)(5−2)

=

1

78125

(512)(5−2)

=(

1

78125

(244140625))(5−2)

=3125(5−2)

=3125(

1

25

)

=125

3 0
3 years ago
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Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
olganol [36]

Answer:

f(x) = x^{3} + 4x^{2} -7x^{} -10^{}

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2}  -x-2)\\\\f(x)=x(x^{2}  -x-2)+5(x^{2}  -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

4 0
3 years ago
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