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4 years ago

Simplify y2+4y–16y+3y2.

Mathematics

1 answer:

nadya68 [22]4 years ago

6 0

Answer:

4y^2-12y

Step-by-step explanation:

y^2+4y-16y+3y^2

=y^2+3y^2+4y-16y

=4y^2+4y-16y

=4y^2-12y

You might be interested in

-7(y-1)= 21 Show how you answered the question step by step.

Stolb23 [73]

Step-by-step explanation:

-7(y-1)= 21

-7y+7=21

-7y=21-7

-7y=14

divide by-7

y=-2

6 0

4 years ago

Read 2 more answers

CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re

ladessa [460]

The table gives values of f(x) at various x in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ f(x) dx

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of f(x) these endpoints, so x ∈ {0, 2, 4} and f(x) ∈ {0, 0.48, 0.84}

• approximate the area under f(x) on [0, 6] with the sum of the areas of rectangles with dimensions 2 × f(x) (that is, width = 2 and height = f(x) for each rectangle)

So the Riemann sum is

∫₀⁶ f(x) dx ≈ 2 ∑ f(x)

for x ∈ {0, 2, 4}, which is about

∫₀⁶ f(x) dx ≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0

3 years ago

A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slo

alina1380 [7]

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m = average speed of the motorcycle

c = average speed of the car

c = 2m - 30 equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

8 0

3 years ago

A 2-column table with 5 rows titled Length Conversion. Column 1 is labeled Inches, x with entries 2, 4, 7, 10, 13. Column 2 is l

suter [353]

Answer:

a) en cuántas filas la suma es igual?

2+7+2+0+2=13

0+1+6+1+0=8

2+0+2+8+1=13

es igual en dos filas la primera y la última

b)en cuántas columnas la suma es igual?

2+0+2=4

7+1+0=8

2+6+2=8

0+1+8=9

2+0+1=3

es igual en dos columnas la segunda y la tercera

listo :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

1.The growth of a sample of bacteria can be modeled by the function b(t)=100(1.06)t where b is the number of bacteria and t is t

qwelly [4]

Given:

The growth of a sample of bacteria can be modeled by the function

$b(t)=100(1.06)^t$

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

$b(t)=100(1.06)^t$

Here, b(t) number of total bacteria after t hours.

Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.

$b(t)=100(1.06)^3$

$b(t)=100(1.191016)$

$b(t)=119.1016
$

Therefore, the number of total bacteria after 3 hours is 119.1016.

4 0

3 years ago