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Ksju [112]
3 years ago
8

1. Simplify: (-9x3 + 4x2 – 5) - (14x2 - 10x - 3) Show work please

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

I got <em>-9x^3-10x^2+10x-2</em>

Step-by-step explanation:

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Naomi has earned $54 mowing lawn the past few days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the
marysya [2.9K]
The answer is $8 per hour. To get this you add the 2 1/2 and 4 1/4 and that equals 6 3/4 or 6.75. You then divide 54 by 6.75 and you get 8.
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3 years ago
Can you help me create a polynomial function matching the criteria on the left please and thanks
Olenka [21]

Answer:

f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

Step-by-step explanation:

From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)

Therefore,

x = -4 ⇒ x + 4 = 0

x = -1 ⇒ x + 1 = 0

x = 3 ⇒ x - 3 = 0

Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor

So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

\implies f(x) = \dfrac{1}{n}(x + 4)^2(x + 1)(x - 3)

If we multiply the constants, this will give us the y-intercept:

⇒ 4² x 1 x -3 = -48

From inspection of the graph, the y-intercept is -6

So to get from -48 to -6 we need to multiply -48 by 1/8

Therefore, n = 1/8

\implies f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

7 0
2 years ago
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If a pound of apples cost $2.90 how much would 2.4 lbs cost
polet [3.4K]

$6.96   $2.9 x 2.4=$6.96

7 0
3 years ago
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Which function has a range of {yly &lt; 5}?
Alexeev081 [22]

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

8 0
3 years ago
How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI
VladimirAG [237]

Answer:

  • 33 1/3 liters of 30%
  • 16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

  0.45x +0.30(50 -x) = 0.35(50)

  0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

  x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33  1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

<em>Comment on the solution</em>

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

  (mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

5 0
3 years ago
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