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2 months ago

7

According to the rational root theorem, which statement about f(x)= 12x^3-5x^2+6x+9 is true?

2 answers:

PIT_PIT [12.4K]2 months ago

4 0

Therefore, any rational root of f(x) is a factor of 9 divided by a factor of 12

which corresponds to answer D.

PIT_PIT [12.4K]2 months ago

3 0

If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).

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Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

Leona [12618]

To tackle this, we can utilize ratios. For instance, 4 1/2 kg of olive oil costs $27. Therefore, the price for 1 kg of olive oil can be represented as follows: x = (27 * 1) / 4.5 which simplifies to x = 27/4.5. This calculation results in a cost of $6 per kilogram. Hope this is of assistance!

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1 month ago

Emily and a friend bought two tickets to see a soccer game. Each ticket cost $8.25. The friends paid a total of $24.50, which in

Leona [12618]

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1 month ago

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

Inessa [12570]

Answer:

$y=32000(1+0.08)^x$

Step-by-step explanation:

The exponential growth formula is $y=a(1+r)^x$

Where 'a' signifies the initial population

r is the growth rate and x represents time in years

maintaining a constant population of 32,000. Thus, the initial population is 32,000

with an annual increase of 8%. The growth rate is 8%, equivalent to 0.08

a = 32000 and r = 0.08

Now, substituting all the values into the general formula

$y=a(1+r)^x$

$y=32000(1+0.08)^x$

$y=32000(1+0.08)^x$

4 0

2 months ago

Read 2 more answers

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (

AnnZ [12381]

Answer:

B. Located at the intersection of 10th Street and 17th Avenue.

Step-by-step explanation:

The point (x,y) that divides segment AB with endpoints at $A(x_1,y_1)$ and $B(x_2,y_2)$ in the specified ratio $m:n$ has coordinates

$x=\dfrac{nx_1+nx_2}{m+n}\\ \\y=\dfrac{ny_1+ny_2}{m+n}$

In this scenario,

$T(4,8)$

$L(12,20)$

The fruit market (F) is located three-fourths of the way from Tia’s residence to Lei's residence, hence $TM:TL=3:4$ or $TM:ML=3:1$

Therefore,

$x=\dfrac{1\cdot 4+3\cdot 12}{3+1}=\dfrac{4+36}{4}=\dfrac{40}{4}=10\\ \\y=\dfrac{1\cdot 8+3\cdot 20}{3+1}=\dfrac{8+60}{4}=\dfrac{68}{4}=17$

Thus, the fruit market lies at the location $F(10,17)$ meaning it’s situated at the intersection of 10th Street and 17th Avenue.

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1 month ago

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