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MrMuchimi
2 years ago
13

Y is directly proportional to X

Mathematics
1 answer:
Zarrin [17]2 years ago
3 0

y = kx

30 = 6k

k = 5

a) y = 5x

y = 5 × 12

b) y = 60

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Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?
MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0
2 years ago
Read 2 more answers
PLS HELP WILL GIVE BRAINLIEST :)
Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0
2 years ago
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
gulaghasi [49]
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
      = x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
      = x² - 2ax + x√b - x√b + a² - b
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This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
   = a +/- (1/2)*√(4b)
   = a +/- √b
x = a + √b, or x = a - √b, as expected.
3 0
2 years ago
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What was the simple interest rate on a $8,000 investment that was left in an account for 18 months and earned $360 in interest
diamong [38]

Answer:

0.375%

Step-by-step explanation:

i=P*R*T

$360=$8000*R/100*18/12

$360=$960R

$360/$960=$960/960

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7 0
2 years ago
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Put these in order from least to greatest 0.5, -3/2, -1 1/3, - 2.25<br> Please help
makvit [3.9K]

Answer:

-11/3, -2.25, -3/2, 0.5

Step-by-step explanation:

4 0
2 years ago
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