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nikklg [1K]
3 years ago
10

Can someone answer this question

Mathematics
2 answers:
anyanavicka [17]3 years ago
7 0
D. (f•g)(x) = fgx
f(x) = 3x^2
f=3x
(3x)(x+2)=3x^2 + 6x
NemiM [27]3 years ago
6 0
The correct answer is D.
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If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

x=\dfrac{k}{y}, k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

8 0
2 years ago
2.67 repeating as a simplified fraction
MAXImum [283]

Answer:

2 67/100

don't forget to say thanks and rate!

5 0
3 years ago
Read 2 more answers
Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Vinvika [58]

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

Hope this helps!

8 0
2 years ago
What is the some of the counting numbers from 1 to 80?
kumpel [21]
There is a formula for adding consecutive numbers:
total = n*(n+1)/2
total = 80*(81)/2
total = 3,240

7 0
3 years ago
A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of
lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

<u>Using Pythagoras theorem</u>:

{l}^{2}  =  {y}^{2}  +  {x}^{2}

Differentiate both sides w.r.t time

0 = 2y \frac{dy}{dt}  + 2x \frac{dx}{dt}

y \frac{dy}{dt}  + x \frac{dx}{dt}  = 0

<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

6\times 2 + 8\frac{dx}{dt}  = 0

\frac{dx}{dt}  =  - 1.5 ft  \: per \: sec

<u>( Ignore - ive sign)</u>

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0
3 years ago
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