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VARVARA [1.3K]
4 years ago
14

Since A =

e" class="latex-formula"> - 1 and B = x^{3} - x + 1, compute the opposite of the polynomials:
a) A + B
b) A - B
c) (-A) - B

PLEASE ACCOUNT!
Mathematics
1 answer:
ziro4ka [17]4 years ago
8 0
The answer is correctly b
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1. Indicate the number of significant figures in each of the following quantities:
shutvik [7]

Answer:

(a) 3

(b) 4

(c) 3

Step-by-step explanation:

To find the number of significant figure, ignore all zeros on the left and count the remaing digits.

(a) ignore 0.0, so 590 is 3 s. f.

(b) no zeros to the left, so 4 s. f.

(c) ignore 0.00, so 122 is 3 s. f.

6 0
3 years ago
Find the equation of the directrix of the parabola found in part A.
elena-s [515]

The specific equation of the parabola can be found by plugging the given

values of the variables of the general equation.

<h3>Correct Response;</h3>
  • \displaystyle The \ equation \ of \ the \ parabolic \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}
<h3>Method used to obtain the above equation;</h3><h3 /><h3>Given parameters;</h3>

The vertex of the parabola is at the origin with coordinates (0, 0)

The location of the focus = 3 cm from the vertex

<h3>Required:</h3>

The equation that models the parabola.

<h3>Solution:</h3>

The vertex form of the equation of a parabola is y = a·(x - h)² + k

The above equation can be expressed as (x - h)² = 4·p·(y - k)

Where in a vertical parabola;

(h + p, k) = The coordinates of the focus

(h, k) = The coordinates of the vertex = (0, 0)

p = 3 = The distance of the focus from the vertex

Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)

The equation of the parabola is therefore;

(x - 0)² = 4×3 × (y - 0) = 12·y

x² = 12·y

  • \displaystyle The \ equation \ of \ the \ parabola \ that \ models \ the \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}

Learn more about the equation of a parabola here:

brainly.com/question/2131669

5 0
3 years ago
Jacob invested $300 in a savings account and earned $81 in simple interest at the end of 9 years. what was the interest rate
Brilliant_brown [7]

Answer:

A.

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=300, A=381, and t=9. We then solve for r.

381=300(1+9r)

We divide both sides by 300.

\frac{381}{300}=\frac{300(1+9r)}{300}

Simplify.

1.27=1+9r

We subtract 1 from both sides.

1.27-1=1-1+9r

Simplify.

0.27=9r

We divide by 9.

\frac{0.27}{9}=\frac{9r}{9}

r=0.03

We need to convert the decimal to a percentage by multiplying by 100.

The interest rate is 3%.


7 0
4 years ago
. A right triangle is drawn inside a sphere, and the hypotenuse is 12 cm. What is the radius of the sphere? Round your final ans
Diano4ka-milaya [45]

Answer: How do you find the rate of change of volume?

The rate of change in volume is dV/dt. The question is asking for the rate that the side length is changing. That would be ds/dt. If we take the derivative of both sides of V = s^3 with respect to time, we get dV/dt = d/dt[s^3].

5 0
2 years ago
Subtract 8 from n then divide m by the result
Likurg_2 [28]

What exactly is n? I need to know n so I can figure out m.

4 0
4 years ago
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