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3 years ago

Estimate the answer to 341÷28

Mathematics

2 answers:

laila [671]3 years ago

6 0

If you have to estimate what the answer is it has to be reasonable... any answer is right as long as it is reasonable

Dmitriy789 [7]3 years ago

3 0

To estimate this question, you can round the numbers to be compatible, to make it easier for yourself. The numbers should be able to be divided cleanly, as this is an estimate, not the actual problem solving. You could, for example, round 341 to 300, and 28 to 30, and divide them to get 10.
Hope that helped.

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

Find the value of x^2 + 1 divided by x^2 if x-1 divided by x =5

MrRa [10]

Answer:

x^2+1/x^2

(x+1/x)^2 = x^2+1/x^2 +2

(5)^2 = x^2+1/x^2 + 2

25 = x^2+1/x^2 + 2

25-2 = x^2+1/x^2

23 = x^2+1/x^2

Step-by-step explanation:

6 0

3 years ago

If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per ga

mylen [45]

Answer:

0.09

Step-by-step explanation:

avg rate of change is: change in y/ change in x

so it´d be 3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

8 0

3 years ago

Write the expression in terms of sin x and cos x only. sin(2x)+cos(3x)

BartSMP [9]

Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))

5 0

3 years ago

Read 2 more answers

To win a relay race, you must swim 200 yards before your opponent swims 190 yards. You swim at a pace of 50 yards every 40 secon

lora16 [44]

Answer:

You would win the race

Step-by-step explanation:

You would have to swim for 2 minutes and 40 seconds which is the same as 160 seconds.

The opponent would swim

$19 \times 8.5$

Which is161.5 seconds

This means you would win

6 0

3 years ago