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3 years ago

Write an algebraic expression for each person’s share, if P people share 16 slices of pizza equally.

Mathematics

1 answer:

svp [43]3 years ago

3 0

Answer:

P /16

Step-by-step explanation:

Take the total amount, P and divide by the number of people sharing, 16

P /16

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How many times does 42 go into 136?

ludmilkaskok [199]

Answer:

3.23

Step-by-step explanation:

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3 years ago

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A hovercraft takes off from a platform. It’s height (in meters), x seconds is modeled by h(x)=-(x-11)(x+3). What is the height o

Eddi Din [679]

Answer:

The height of the hovercraft at the time of takeoff is 33 meters.

Step-by-step explanation:

Height of hovercraft x seconds after takeoff = h(x) = -(x - 11)(x + 3)

Height after takeoff is = h(0) = -(0 - 11)(0 + 3) = -(-11)(3) = 33

So the correct answer is 33 meters. The height of the hover craft at the time of the takeoff is 33 metres.

Answer: 33 meters.

Please mark brainliest

Hope this helps

6 0

3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm

tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: $P(x5.81)$

$=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]$

The percentage of legal quarters will be rejected by the vending machine = 2.275%

5 0

2 years ago

Identify the equation of a line in point-slope form that passes through the point (-3,4) with a slope of -2

vova2212 [387]

Answer:

y = -2x - 2

Step-by-step explanation:

y = Mx + c

4 = -2(-3)+ c

4 =6+ c

c = -2

6 0

2 years ago