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3 years ago

When will the distance from A to B be negative?

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

The distance from A to B will be negative when the line is trending downward from left to right.

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Subtract x3 – 7x2 + 3 from the sum of - 3x3 + x2 and – x2 + 4x - 3.

Vesnalui [34]

Answer:

x3 – 7x2 + 3------ x3 - 7x2 + 3

3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

((x3) - 7x2) + 3

Step 2 :

Polynomial Roots Calculator :

2.1 Find roots (zeroes) of : F(x) = x3-7x2+3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is 3.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -5.00

-3 1 -3.00 -87.00

1 1 1.00 -3.00

3 1 3.00 -33.00

Hope this helps.

3 0

3 years ago

Read 2 more answers

Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.

givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

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

we have

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

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

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

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{133.97}= 30\ cups$

7 0

3 years ago

Mia can purchase a 40-ounce jar of peanut Butter for $5.20 or a 15-ounce har for $2.70. How much does Mia save per ounce by usin

Reptile [31]

You save 5 cents per ounce by using the 40 ounce jar, because if you do $5.20 divided by 40 it equals $0.13 but if you do $2.70 divided by 15 it equals $0.18 which is 5 more cents the the 40 ounce

4 0

3 years ago

Use the substitution method to solve.<br><br> y=5−3x<br> 5x−4y=−3

Vadim26 [7]

Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2

6 0

3 years ago

Cathrine has £7000 to invest.

Anvisha [2.4K]

Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517

4 0

3 years ago