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3 years ago

14

Answer is -16.....How to do the steps?

1 answer:

Likurg_2 [28]3 years ago

6 0

Product of roots
Let x and y be the roots of given equation.

y+z=-b/a (sum of roots)

z×y= c/a(product of roots)

where "a" is coefficient of x^2 and "b" of x and "c" a constant.
In the given equation is a=1,b=h+4 c=-h^2
so product is given by

y×z= -h^2/1= product is -h^2

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I really need help its ERGENT

n200080 [17]

The answer is #2(6cm).

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4 years ago

7, 9, 13 are the first three terms of a sequence with

ivann1987 [24]

(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13

(ii) Expression for nth term = n²-n+7

The first three terms of the sequence are 7, 9, 13

nth term = an²+bn+c

If we put n = 1 then,

1st term = a(1)²+b+c

⇒ a+b+c = 7 ......(1)

If we put n = 2 then,

2nd term = a(2)²+b×2+c

⇒ 4a+2b+c = 9 ........(2)

3rd term = a(3)²+b×3+c

⇒ 9a+3b+c = 13 .......(3)

Multiplying 4 with (1) and subtract (2) from (1) we get,

(4a+4b+4c)-(4a+2b+c)=28-9

⇒ 4a+4b+4c-4a-2b-c=19

⇒ 2b+3c=19 .....(4)

Multiplying 9 with (1) and subtract (3) from (1) we get,

(9a+9b+9c)-(9a+3b+c)=63-13

⇒ 9a+9b+9c-9a-3b-c=50

⇒ 6b+8c=50

⇒ 3b+4c=25 .....(5)

Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),

3(2b+3c)-2(3b+4c)=57-50

⇒ 6b+9c-6b-8c=7

⇒ c = 7

From (5),

3b+28 = 25

⇒ 3b = -3

⇒ b = -1

From (1),

a+(-1)+7 = 7

⇒ a-1=0

⇒ a=1

So, nth term = n²-n+7

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brainly.com/question/6561461

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8 0

2 years ago

A realtor sells a house for $460000. If she earns 3% of the houses price as a commission, how much is her commission?

aleksandrvk [35]

Answer:

$13,800

Step-by-step explanation:

Take 460,000 and multiply it by .03 (.03 is 3% as a decimal)

hope this helps! :D

7 0

3 years ago

What is 1 11/12-1 7/12=

kow [346]

The answer for your problem is 1/3

4 0

3 years ago

15 POINTS ANSWER ASAP, SHOW WORK

forsale [732]

Answer:

$V=97.6\ in^3$

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=4/2=2\ in$ ---> the radius is half the diameter

$h=8\ in$

substitute

$V=\pi (2)^{2}(8)\\\\V=32\pi\ in^3$

step 2

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

we have

$r=2\ in$ ---> the radius is the same that the radius of the cylinder

$h=0.70\ in$

substitute

$V=\frac{1}{3}\pi (2)^{2} (0.70)\\\\V=0.93\pi\ in^3$

step 3

Find the volume of the plastic object

we know that

The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone

so

$V=32\pi-0.93\pi=31.07\pi\ in^3$

assume

$\pi=3.1416$

$V=31.07(3.1416)=97.6\ in^3$

8 0

3 years ago