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Brut [27]
3 years ago
7

If f(x) = 4x + 3 and g(x) = 3x, evaluate f(x) * g(x) for x= -1/2 a. -3/2 b. -21/2 c. 6 d. 0

Mathematics
1 answer:
grin007 [14]3 years ago
4 0
F(x) = 4x+3
f(-1/2) = 4(-1/2)+3
f(-1/2) = -2+3
f(-1/2) = 1
-----------------------
g(x) = 3x
g(-1/2) = 3(-1/2)
g(-1/2) = -3/2
-----------------------
Replace x with -1/2 to go from
f(x)*g(x)
to
f(-1/2)*g(-1/2)
So you'll multiply the results of 1 and -3/2 to get 1*(-3/2) = -3/2
-----------------------
The final answer is -3/2
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Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls? A 0.35
bija089 [108]

Answer:

Option B

3.5 miles

Step-by-step explanation:

Considering the picture attached, the distance to Cascade Falls is written in mixed fraction and the question wants it expressed in decimal. \frac {1}{2} is same as 1 divided by 2 which is 0.5 hence the fall is 3+0.5=3.5 miles

6 0
3 years ago
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of ele
azamat

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of  68.17m

8 0
2 years ago
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
dsp73

The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Liam performs the experiment 62 times

Total number of outcomes = 62

A pineapple chew was selected 58 times.

A cherry chew was selected 2 times.

A lime chew was selected 2 times.

Now, the probability that the next chew Liam removes from the bag will be cherry chew:

P = 2/62

P = 1/31

P = 0.0322  or 0.03

Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

5 0
2 years ago
Which one is it please help tank you!
Len [333]

Answer:

3.6 × 10^4

Step-by-step explanation:

its the first one, the dark blue one

6 0
3 years ago
Identify proportional relationships
enot [183]

9514 1404 393

Answer:

  No

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

__

A proportional relationship always starts at zero when the independent variable is zero.

6 0
3 years ago
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