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3 years ago

14

Which expression is equal to (x+2)(−3x2+3x+1)?

1 answer:

padilas [110]3 years ago

7 0

Multiply everything in the second parenthesis by x.

-3x^3 + 3x^2 + x

Multiply everything in the second parenthesis by 2.

-6x^2 + 6x + 2

Combine these two equations together.

-3x^3 + 3x^2 + x - 6x^2 + 6x + 2

Combine like terms.

-3x^3 - 3x^2 + 7x + 2

Hope this helps!
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At winds speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 100

alisha [4.7K]

Answer:

Lower limit = 1007.95 cm/s

Upper limit = 1142.05 cm/s

Step-by-step explanation:

We have to calculate a 95% CI with population's standard deviation known.

The sample is size n=60, with mean M=1075.

The confidence interval can be expressed as:

$M-z*\sigma/\sqrt{n} \leq\mu\leq M+z*\sigma/\sqrt{n}$

For a 95% CI, the value of z=1.96.

$1075-1.96*265/\sqrt{60} \leq\mu\leq 1075+1.96*265/\sqrt{60} \\\\1075-67.05 \leq\mu\leq 1075+67.05\\\\ 1007.95 \leq\mu\leq 1142.05$

8 0

3 years ago

What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?

Ainat [17]

Answer:

The average rate of change is -3.

Step-by-step explanation:

Given : Function $f(x)=-3x+79$ over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function $f(x)=-3x+79$ over [2,4]

The rate of change is the slope of the line,

So, $\text{Rate of change}=\frac{f(4)-f(2)}{4-2}$

$f(4)=-3(4)+79$

$f(4)=-12+79$

$f(4)=67$

$f(2)=-3(2)+79$

$f(2)=-6+79$

$f(2)=73$

Substitute,

$\text{Rate of change}=\frac{67-73}{4-2}$

$\text{Rate of change}=\frac{-6}{2}$

$\text{Rate of change}=-3$

Therefore, The average rate of change is -3.

8 0

2 years ago

Read 2 more answers

Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 40

Paha777 [63]

Answer:

B. Brook finished in 100 minutes, so Lamont was faster.

Step-by-step explanation:

1 hour = 60 Minutes

60 minutes + 40 minutes = 100 Minutes.

If you run and you have more minutes then someone else that means you ran for a longer time and your a little bit slower?

Comment down below, Did I help? ^w^

6 0

2 years ago

Find f(-4) if f(x) = 3x - 6.<br><br> A 6<br> B -6<br> C 18<br> D -18

brilliants [131]

Answer:

f(-4) = -18

Step-by-step explanation:

f(-4) means x = - 4

So Plug in x = - 4 into f(x) = 3x - 6

f(-4) = 3(-4) - 6

= -12 - 6

= -18

So

f(-4) = -18

8 0

2 years ago

Read 2 more answers

Write<br> (b^4)^2 without exponents

Anna35 [415]

Answer:

b^8

Step-by-step explanation:

(a^m)^n=a^(m*n)

(b^4)^2=b^(4*2)=b^8

4 0

2 years ago