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VashaNatasha [74]
3 years ago
5

Pls helppppp will give braineliest

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Answer: B. 3x

Step-by-step explanation:

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Factor f(x) = x^4 + x^3 - 8x^2 + 6x +36 completely. Show your work. Then describe what a graph of this function might look like.
ikadub [295]
             <span> Use the rational root theorem to find the possible rational roots. The rational roots theorem says that possible rational roots are +/- factors the constant term (36 here) divided by factors of the leading coefficient (1 here). Possible rational roots are

+/- 1, 2, 3, 4, 9, 12, 18, 36

Test each zero using the rational root test. To do this, use synthetic division to test the roots. I won't show the work here, but the roots that work are -2 and -3. As factors, this is x+2 and x+3.

From the synthetic division, we have x^2-4x+6 left over, which is irreducible.

In factored form:
f(x) = (x+2)(x+3)(x^-4x+6)

You could also use a graphing calculator to find the roots and work backwards to get the factored form too. A TI-89 Titanium would factor the polynomial and give you the above answer.</span>
7 0
3 years ago
Ribbon is sold at 3 yards for $6.33. Jackie bought 24 yards of ribbon for a project. How much did she pay?
sergey [27]

151.92

selling the twenty four yards at six dollars and thirty three cents 24 x 6.33 =

8 0
3 years ago
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(paint cans contain less than 5.54 ml of the dye)

P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)

Calculation the value from standard normal z table, we have,  

P(x < 5.54) =0.9115 = 91.15\%

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

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3 years ago
5 FRIENDS GO OUT TO LUNCH AND ORDER 5 PIZZAS, THE FRIENDS DIVIDED THE PIZZAS EVENLY.FIND HOW MUCH PIZZA EACH FRIEND GOT AS A DEC
liraira [26]
5/5=1

Each friend got one pizza.
6 0
3 years ago
Read 2 more answers
HCF and LCM of 24 and 30
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Green beans, cheese and hamburger
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