What point lies on the line described by the equation y+8=4(x-5)

[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]

[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = [tex]\sqrt{5680} = 75..36 cm[/tex]

Answer:

k=100, n=3, 1.5625, 10

Step-by-step explanation:

To find n and k, we can plug x and z in.

First we can try this for (1,100). We will get:

[tex]100=\frac{k}{1^{n} }[/tex]

Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.

Armed with k=100, we can plug numbers into the second equation.

[tex]12.5=\frac{100}{2^{n} }[/tex]

Moving [tex]{2^{n} }[/tex] to the left side, we get:

[tex]2^n=\frac{100}{12.5} }=8[/tex]

therefore we can solve and we see that n=3.

We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z

[tex]z=\frac{100}{4^{3}} =1.5625[/tex]

We will do the same as previous but instead plug in x

[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]

We isolate [tex]x^{3}[/tex] and get

[tex]x^{3} =1000[/tex]

Therefore x=10

Answer:1+1

Step-by-step explanation:

1+1=2

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

              --> 40 mg

The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.

If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]

[tex]=8\times5[/tex]

[tex]=40[/tex] mg

Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

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Answer:

The answer is 13,200 feet.

Step-by-step explanation:

1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.

5,280 * 2.5 = 13,200.

If you don't have a calculator you can multiply be splitting the parts.

5,280 * 2 = 10,560

+ 2,640 = 13,200

You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5

Hope this helps! :)

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Answer:

13200 feet. Guaranteed

Step-by-step explanation:

Answer:

21*4 = 84.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Multiply 1 by 4 to get 4.

Move the 8 into the tens place and move the 4 into the ones place.

..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨

Answer:

Step-by-step explanation:

Given expression:

Simplify considering like terms:

The simplified expression is:

Answer:

61

Step-by-step explanation:

You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.

Answer: 994

Step-by-step explanation:

50 * 20 = 1000 - 10 = 990 + 4 = 994

IT SUPPOSED THE BE LAKE CLIPSON

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

Answer:

First Graph: 24, 48, 25, 52, 49, 51, 100

Second Graph: 24, 40, 53, 64, 26

Step-by-step explanation:

I'm honestly not very confident in my answer for the first graph because it greatly varies.

Correct me if I am incorrect.

Answer:

D. The point at x = 0 is x-intercept itself.

Step-by-step explanation:

First, substitute x = 0 in f(x) = sin(x) and examine the point and values.

When x = 0, sin(0) = 0.

Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.

The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.

Thus, A and B are not correct choices.

The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.

Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.

Answer: D is Correct on edmentum/plato

Step-by-step explanation:

Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

Answer:

Each person have to pay $67,237

Step-by-step explanation:

Amount each person would pay = Total amount of debt/ Size of Population

= 22000000000000/327200000

= 67237. 164

Approximately $67,237

Answer: 46572

Step-by-step explanation:

It is how you do the math  look over your answers you got this

Answer:

16 to 52

Step-by-step explanation:

a. The value of the car when it is 4 years old is approximately $13,645.23.

b. The car has depreciated by about $16,367.54 after 5 years.

To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:

c(4) = 27,200(1 - 0.21)^4

c(4) = 27,200(0.79)^4

c(4) ≈ 13,645.23

b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:

c(5) = 27,200(1 - 0.21)^5

c(5) = 27,200(0.79)^5

c(5) ≈ 10,832.46

Therefore, the total depreciation amount after 5 years is:

27,200 - 10,832.46 ≈ $16,367.54

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Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

Answer:

k

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

"4% probability of their passing on a hereditary disease to 3 of their children"

I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.

In case its the first one:

To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.

if the chance of having the disease is 0.04, then the chance of not having it is 0.96

for three children: 0.96*0.96*0.96

=  0.884736

to find the chance of this not happening:

1 - 0.884736

= 0.115264 ≈ 12%

there is a 12 percent chance at least one of the children will inherit the disease

In case its the second one:

the probability of all 3 children having the disease is 0.04,

the probability of 1 child getting the disease is unknown, x.

this means

x*x*x = 0.04

x ≈ 0.342

now we just basically repeat the steps above

1 - 0.342

= 0.658 (probability that one child does not get the disease)

0.658 * 0.658 * 0.658

= 0.284890312 (probability that all 3 children do not get the disease)

1 - 0.284890312

= 0.715109688 ≈ 72%

there is a 72 percent chance at least one of the children will inherit the disease

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

Answer:

Answer:

 B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

 a² -b² = (a -b)(a +b)

__

Here, we have ...

 a² -b² = 16x² -(-25)

 a² = 16x²   ⇒   a = 4x

 b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

 (a -b)(a +b) = (4x -5i)(4x +5i)

Step-by-step explanation:

Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.

From the information that was given in the question, the equation to solve the question will be:

= (829 - 45) / 7

= 784 / 7

= $112 per day.

The correct option is $112 per day.

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Answer:

(0,4)

Step-by-step explanation:

use midpoint formula

Answer:

-1.5 + 27

25.5

Step-by-step explanation:

-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5

Answer:

4.5+19.75=24.25

Step-by-step explanation:

Answer:

y=-2/5x+21/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5