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3 years ago

Solve by factoring. 3q^2+q-14=0

1 answer:

3 0

When doing this equation, draw a big X on your paper. At the top of the x you do A times C. At the bottom, you put the B. To factor, you need to find what two numbers MULTIPLY together to equal the A times C, and that add together to get the B.

In all you will get (q+7) (q-6)

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Find the area of the shaded sector. Leave your answer in terms of π.

kozerog [31]

Answer:

18π ft^2

Step-by-step explanation:

The area of the circle is

pi *r^2

pi * 12^2

144pi

The part that is shaded is 45 degrees

An entire circle is 360 degrees

The fraction that is shaded is 45/360 = 1/8

Multiply the area by the fraction that is shaded

1/8 * 144 pi

18 pi

5 0

3 years ago

Read 2 more answers

Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical str

Llana [10]

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

6 0

2 years ago

Read 2 more answers

PLEASE HELP ME!! no spame

mina [271]

1/8
I’m adding random stuff to send the answer!:)

3 0

2 years ago

Read 2 more answers

Carrie is finding the set of even numbers within the set of prime numbers. She starts by considering only positive numbers. Of t

MArishka [77]

Answer:

Option 3 is correct that is prime numbers.

Step-by-step explanation:

Even numbers are those which are divisible by 2

Prime numbers are the numbers which are divisible by 1 and the number itself

Since, we have to take only positive numbers

Carrie has taken out the set of even number within the set of prime number

So, 2 is the only number inside this eset because 2 is even as well as prime

Hence,universal set will be prime numbers

Therefore, Option 3 is correct that is prime numbers.

3 0

3 years ago

Read 2 more answers

Given that g(x)=3x²-5x+7 find the following: <br> g(-x)

AURORKA [14]

G(x) = 3x² - 5x + 7
g(-x) = -(3x² - 5x + 7)
g(-x) = -3x² + 5x - 7

This equation cannot be solved because of a few reasons,

1. This equation didn't show that it equals to 0.
2. Even if it equals to zero, square root of a negative number cannot be solved.
(I will show you what I mean)

-3x² + 5x - 7
is the same as
3x² - 5x + 7
by shifting the equation,

for example,
1 - 3 = -2
shifting other side
2 = -1 + 3

using 3x² - 5x + 7 to solve,

$Solve\ using\ the\ formular\ \ \boxed{ x= { \frac{-b \pm \sqrt{b^2-4ac} }{2a} } }$
a = 3
b = -5
c = 7
$x= { \frac {-(-5) \pm \sqrt{ (-5)^2-4(3)(7) } }{2(3)} }$
$x= { \frac {5 \pm \sqrt{-59} }{6} }$

∴This equation cannot be solved.

5 0

3 years ago