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3 years ago

13

Critical thinking. Make a conjecture about the relationship between three consecutive whole numbers based on this relationship i

llustrated by the numbers 7, 8, and 9: 7+9/2=8. Can you find a counterexample?

1 answer:

Jlenok [28]3 years ago

4 0

I need help with that too. :,-(

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Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4?

notka56 [123]

X(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x

5 0

3 years ago

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Mr and Mrs jackson are having a family portraits taking with their son and daughter. the photographer wants to have two people s

miskamm [114]

If your question is how many positions are possible, then the answer is 24.

We find this by thinking of how many people can be in each spot. If there are 4 spots each person can stand (back left, back right, front left, front right), then there are 4 possible choice for the first spot (mom, dad, son, daughter), then 3 for the next spot (since 1 is already in a spot), then 2 options for the next spot, and then 1 option for the last spot. In other words, the answer is 4x3x2x1, or 4 factorial.

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3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

1.5 x 0.3 =<br> i’m desperate pls answer-

Natali5045456 [20]

Answer:

45

Step-by-step explanation:

8 0

3 years ago

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-2-(3(x+6)-9-(7-x)-3x

olchik [2.2K]

Answer:

- 24 - 5x

Step-by-step explanation:

1) Remove Parentheses

-2 - 3x - 6 - 9 - 7 + x - 3x

2) Collect like terms

( -2 - 6 - 9 - 7) + (-3x+x-3x)

3) Simplify

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2 years ago