All categories

3 years ago

Find f(4) when f(x)=4x^2 - 2 x - 4

Mathematics

1 answer:

prisoha [69]3 years ago

8 0

Answer:

Step-by-step explanation:

$f(x)=4x^2-2x-4$

$f(4)=4(4)^2-2(4)-4$ (I replaced $x$ with $(4)$ since we are to find $f(4)$ .)

$f(4)=4(16)-2(4)-4$ (By the order of operations, we take care of the exponents before whatever else we have here.)

$f(4)=64-8-4$ (By the order of operations, we take care of the multiplication as we see if left to right.)

$f(4)=56-4$ (By the order of operations, we perform addition/subtraction as we see it left to right.)

$f(4)=52$ (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 - 2(4) - 4

This would have returned 52.

You might be interested in

Ordena de mayor a menor -9, 8, -6, -1, 2, -5, 3<br><br><br><br><br>ayuda es parq hoy

AlladinOne [14]

Answer:

8,3,2,-1,-5,-9

Step-by-step explanation:

not sure if you can understand english at all but

basically you order the values from greatest to least. negative numbers are special because they are greater the lower the number is. all that means is -1 is greater than -9 because its closer to 0.

hope i helped :)

3 0

3 years ago

frosted honey krunch cereal comes in a box that is 8.5 wide , 11.4 high and 2.6in deep what is the volume of the box ?

Butoxors [25]

Answer:

2519.4in³

Step-by-step explanation:

Volume=l×h×w

=8.5×11.4×2.6

2519.4

hope this helps

please like and Mark as brainliest

8 0

4 years ago

Read 2 more answers

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the firs

masha68 [24]

0.035x+0.045x=427.50
0.08x=427.50
x=427.50/0.08
x=5343.75

x+x+1500=5343.75
2x=5343.75-1500
2x=3843.75
x=1921.88 first
1921.88+1500=3421.88 second

8 0

3 years ago

Read 2 more answers

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

4 years ago

Bus A and Bus B leave the bus depot at 8 am.

LenaWriter [7]

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

6 0

3 years ago