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3 years ago

Please answer this correctly

Mathematics

1 answer:

Keith_Richards [23]3 years ago

4 0

Answer:

10 units

Step-by-step explanation:

Hansen walks two units down to the dry cleaners, and walks 8 units to the right to the radio tower. If you add the units together you get 10.

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-2+ 7+ -11<br> its learning not cheating karen ;)

zalisa [80]

-6 because the 7 is positive

8 0

3 years ago

The Hudson family is saving for a family vacation to Disney World. They determine that the trip will cost $3,200. Mr.and Mrs.Hud

Snezhnost [94]

Answer:

$106.3

Step-by-step explanation:

$3200 = Know (goal / need)

$1500 = Given

3200 - 1500 = 1700 = what's left

160.3 × 16 = 1700.8

↑(the closest you can get to 1700)

so they will need to save $106.3 a week to get 3200

8 0

3 years ago

Find all the zeros of the polynomial function P(x) x^4-4x^3 -5x^2+38x- 30

worty [1.4K]

Answer:

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

$P(x)=x^4-4x^3-5x^2+38x-30$

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

$P(1)=(1)^4-4(1)^3-5(1)^2+38(1)-30$

$P(1)=0$

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

$P(-3)=(-3)^4-4(-3)^3-5(-3)^2+38(-3)-30$

$P(-3)=0$

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

$(x-1)(x+3)=x^2 + 2 x - 3$

Divide the given function by $x^2 + 2 x - 3$ , to get remaining factors.

$\frac{x^4-4x^3-5x^2+38x-30}{x^2 + 2 x - 3}=x^2 - 6 x + 10$

So, the factor form of given function is

$P(x)=(x - 1) (x + 3) (x^2 - 6 x + 10)$

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula find the zeroes of $x^2 - 6 x + 10$ .

$x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(10)}}{2(1)}$

$x=\frac{6\pm \sqrt{-4}}{2}$

$x=\frac{6\pm 2i}{2}$ $[\because \sqrt{-1}=i]$

$x=3\pm i$

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

3 0

3 years ago

WHAT DOES M = IF -13 1/2+28 2/3x=y<br> THIS IS 20 POINTS

ch4aika [34]

Answer:

sorry mate this is too complex

3 0

3 years ago

If the probability that a bird will lay an egg is 75%, the probability that the egg will hatch is 50%, and the probability that

garik1379 [7]

Answer: (A) 30%

Step-by-step explanation:

Given : The probability that a bird will lay an egg =0.75

The probability that the egg will hatch =0.50

Now, the probability that the egg will lay an egg and hatch = $0.75\times0.50$

Also,The probability that the chick will be eaten by a snake before it fledges =0.20

Then, the probability that the chick will not be eaten by a snake before it fledges : 1-0.20=0.80

Now, the probability that a parent will have progeny that survive to adulthood will be :-

$0.75\times0.50\times0.80=0.30=30\%$

Hence, the probability that a parent will have progeny that survive to adulthood = 30%

3 0

3 years ago