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3 years ago

9

Which prefix means 1/10 of a unit in the metric system?

1 answer:

prisoha [69]3 years ago

7 0

D. deci is 1/10 of a unit

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If 3/4 of a certain number is equal to 41/2 find the number

SSSSS [86.1K]

Answer:

$x = \frac{82}{3}$

Step-by-step explanation:

let $x$ be that number

$(\frac{3}{4} )x = \frac{41}{2}$

$\frac{3x}{4} = \frac{41}{2}$

multiply both sides by $4$

$\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\$

divide both sides by 3

$\frac{3x}{3} = \frac{82}{3}$

$x = \frac{82}{3}$

7 0

3 years ago

Question 10 of 10<br> The function F(x) = log5 x is decreasing.<br> A. True<br> B. False<br> SUBMIT

MArishka [77]

Answer: False

Step-by-step explanation:

The base is more than 1, so the function is increasing.

4 0

1 year ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Only 4 more left........................

Luden [163]

Answer:

2x^2 - 3x - 1

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

See figure in triangle PQR,ANGLE PQR=90°,segQS seg PR find x,y and z

e-lub [12.9K]

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

3 0

2 years ago