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s344n2d4d5 [400]

2 years ago

13

On what interval (s) are f(x) = x3 2x²+x+6 decreasing?

2 answers:

sammy [17]2 years ago

6 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Brut [27]2 years ago

6 0

If you are talking about 2x^2 + x + 6 then the intervals would be decreasing based on where it is based on the vertex,
-b/2a = -1/2, plug -1/2 in 1/2 -1/2 + 6 = 6, vertex = (-1/2, 6) so the equation is decreasing (infinity) > x > -1/2

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Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum. How much more would he have gained if he had

lubasha [3.4K]

Ahmed could have gained 61 rupees more, if had given had given in compound interest.

<em><u>Solution:</u></em>

Given that Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum

<em><u>Simple Interest calculation:</u></em>

Principal = 8000

Rate of interest = 5%

Time = 3

Formula:

$S.I=\frac{p\times n\times r}{100}$

Where , "p" is the principal and "n" is the number of years and "r" is the rate of interest

Substituting the values in formula,

$S.I = \frac{8000 \times 3 \times 5}{100}\\\\S.I = 80 \times 3 \times 5 = 240 \times 5\\\\S.I = 1200$

<em><u>Compound Interest calculation:</u></em>

Principal = 8000

Rate of interest = 5% compounded annually

Time = 3

Formula:

$C.I=P(1+\frac{R}{100})^n-P$

Substituting the values in formula,

$\Rightarrow C.I=8000(1+\frac{5}{100})^3-8000\\\\\Rightarrow C.I=9261-8000\\\\\Rightarrow C.I=1261$

Therefore, the difference between the interests:

1261 - 1200 = 61

Thus he could have gained 61 rupees more, if had given had given in compound interest.

7 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs.Not all tiles will be used match the equations representing parabolas

IceJOKER [234]

Answer:

$y=-8.08$ -------> $y+8=3(x+2)^{2}$

$y=14.25$ -------> $y-14=-(x-3)^{2}$

$y=-7.625$ -----> $y+7.5=2(x+2.5)^{2}$

$y=17.25$ -------> $y-17=-(x-3)^{2}$

$y=-7.25$ -------> $y+7=(x-4)^{2}$

$y=6.25$ -------> $y-6=-(x-1)^{2}$

Step-by-step explanation:

we know that

The standard form of a vertical parabola is equal to

$(x-h)^{2}=4p(y- k)$

where

(h,k) is the vertex

the focus is (h, k + p)

and

the directrix is y = k - p

Part 1) we have

$y+8=3(x+2)^{2}$

Convert to standard form

$(x+2)^{2}=(1/3)(y+8)$

The vertex is the point $(-2,-8)$

$h=-2,k=-8$

$4p=1/3$

$p=1/12$

the directrix is equal to

$y = k-p$ -----> $y=-8-(1/12)=-8.08$

Part 2) we have

$y-14=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-14)$

The vertex is the point $(3,14)$

$h=3,k=14$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y = 14-(-1/4)=14.25$

Part 3) we have

$y+7.5=2(x+2.5)^{2}$

Convert to standard form

$(x+2.5)^{2}=(1/2)(y+7.5)$

The vertex is the point $(-2.5,-7.5)$

$h=-2.5,k=-7.5$

$4p=1/2$

$p=1/8$

the directrix is equal to

$y = k-p$ -----> $y=-7.5-(1/8)=-7.625$

Part 4) we have

$y-17=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-17)$

The vertex is the point $(3,17)$

$h=3,k=17$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y = 17-(-1/4)=17.25$

Part 5) we have

$y+7=(x-4)^{2}$

Convert to standard form

$(x-4)^{2}=(y+7)$

The vertex is the point $(4,-7)$

$h=4,k=-7$

$4p=1$

$p=1/4$

the directrix is equal to

$y = k-p$ -----> $y=-7-(1/4)=-7.25$

Part 6) we have

$y-6=-(x-1)^{2}$

Convert to standard form

$(x-1)^{2}=-(y-6)$

The vertex is the point $(1,6)$

$h=1,k=6$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y=6-(-1/4)=6.25$

4 0

2 years ago

Simplify the algebraic expression <br> 3/4(4x-8y)

kompoz [17]

Answer:

3x-6y

Step-by-step explanation:

3/4(4x-8y)

3/4×(4x-8y)

3/4×4(x-2y)

3×1(x-2y)

3x-6y

6 0

1 year ago

Express the improper fraction as a mixed number in simplest form. 39 over 8

aleksandrvk [35]

The answer is 4 7/8 or 4 and 7 over 8.8 goes into 39 4 times and then you have a remainder of 7 and the denominator 8 stays the same.

7 0

3 years ago

Read 2 more answers

Find the solution for this inequality<br> -3x + 5 < 5

n200080 [17]

Answer:

2

Step-by-step explanation:

-3x+5 = 2<5

two less than 5

6 0

3 years ago