A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes. What is the vehicle's speed?

Answers

Answer 1

Answer: Let distance be s and velocity be v
s = 5t⁴ - 10t² + 6
We know velocity is the change in distance per unit time, so
v = ds/dt
v = 20t³ - 20t

Answer 2

Answer:

Answer:

The speed is 5t^3 - 10t^2 + 10t - 20 + 46/(t+2) miles per minute

Step-by-step explanation:

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-3x^2+4x+5 what are the step to finding this answer?

Answers

-3x^2+4x+5= 2x(2x+7)

Work out 1 2/3 ÷ 2 3/4 ?

Answers

1 2/3 = 5/3
2 3/4 = 11/4
5/3 ÷ 11/4 = 5/3 × 4/11
= 20/33

Evita lives 0.85 mile from her school . write this distance as a fraction in simplest form

Answers

Answer:

$(17)/(20)\text{ miles }$

Step-by-step explanation:

When we write a terminating decimal as a fraction,

Then we follow the below steps,

Step 1 : Write the number with denominator 1,

Step 2 : multiply numerator and denominator by an exponent of 10 ( like 10, 100, 100 etc ) to eliminate the decimal,

Step 3 : simplify the fraction by dividing both numerator and denominator by the HCF of numerator and denominator,

Here, the given number,

0.85

$=(0.85)/(1)$

$=(0.85* 100)/(100)$

$=(85)/(100)$

$=(85/ 5)/(100/ 5)$ ( HCF (85, 100) = 5 )

$=(17)/(20)$

.85 is in the hundredths place so your fraction will be 85/100 then you divide it by 5 and get 17/20 as your answer. Hope this helps

How would y=3/x affect the graph compared to y=1/x

Answers

Answer:The answer will be 2x

Step-by-step explanation:

Find the remainder when f(x) is divided by (x - k)
f(x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2

Answers

Answer: The remainder when f(x) is divided by (x-2) is 217.

Step-by-step explanation:

Since we have given that

$f(x) = 5x^4 + 8x^3 + 4x^2 - 5x + 67$

And it is divided by g(x)=(x-k)

Here, k= 2

So, g(x)= x-2

So, we need to find the remainder .

By using "Remainder theorem ":

$Put\ g(x)=0\n\nx-2=0\n\nx=2$

Now,

$f(2)=5(2)^4 + 8(2)^3 + 4(2)^2 - 5(2) + 67\n\nf(2)=80+64+16-10+67\n\nf(2)=217$

Hence, the remainder when f(x) is divided by (x-2) is 217.

It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67

=5*16 + 8*8 +4*4 -5*2 +67
=80 + 64 + 16 -10 +67

= 217

A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?

Answers

On Solving equation in one variable 0.4x = 5.2, we found that the clerk returned 13 dimes, 34 quarters and4 nickels in change of $10 bill.

What is an linear equation in one variable?

Linear equation is an equation containing one variable with power one and constants.

Standard form of an linear equation in one variable x is :

ax + b= 0 , a, b are constants

x= -b/ a is solution if this equation. Linear equation can be solved by adding or subtracting , multiplying , division same number to both sides.

A clerk need a change of $10 bill

Let the clerk returned x dimes and y nickels and z quarters to pay $10

Value of one nickel = $ 0.05, one dime = $ 0, one quarter = $ 0.25

Value of x dimes becomes 0.1x

Value of y nickels becomes 0.05 y

value of z quarters becomes 0.25 z

Total value of given dimes, quarters and nickels , 0.1 x + 0.05 y + 0.25z = 10

Number of dimes = Number of nickels + 9

∴ x = y +9 ⇒ y = x- 9

Number of quarters = Number of dimes +21

∴ z = x + 21

Put y = x-9 and z = x + 21 in 0.1 x + 0.05 y + 0.25z = 10