Find x.
11
13
13'
21'

Well, we know standard form of quadratic equation : ax² + bx + c where,

a = Coefficient of x²

b = Coefficient of x

c = Constant term

We also equation for determinant :

⇒ b² - 4ac

Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.

But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"

Now let's calculate whether the equation is factorisable or not :

Comparing the given equation with ax² + bx + c, we get :

a = 1

b = -3

c = -54

Putting values in the determinant equation :

⇒ (-3)² - 4(1 × -54)

⇒ 9 + 216

⇒ 225

⇒ 15²

So, determinant = A perfect square

That means the given equation is factorisable.

Now let's factorize with by middle term splitting :

⇒ x² - 3x - 54

⇒ x² -(9 - 6)x - 54

⇒ x² - 9x + 6x - 54

⇒ x(x - 9) + 6(x - 9)

⇒ (x + 6)(x - 9) [Required Solution]

Hence, we get our required solution.

Hope this Helps (✿◡‿◡)

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

Answer:

12 shamrocks

6 lbs

3/4 =6/8

Step-by-step explanation:

Answer:

ur answer would be 4.

Answer:

That doesn't make sense to me but what does O means?

Step-by-step explanation:

Well maybe its 2.2.2.2.2.2.2

Answer:

if ur rounding then its 2.2.2.2.2.2.2

Step-by-step explanation:

Answer:

= $963.65

Step-by-step explanation:

Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years

$675 x [1 + (12 + 3/5% ) ]^3 =

$675 x ( 1 + 0.126)^3 = $963.65

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

=> (z - 10)² = 0

Therefore z = 10.

Answer:

There are 38 girls, 57;32

Step-by-step explanation:

57 divided by 3 is equal to 19

19 multiplied by 2 is equal to 38

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Answer:

The slope between (8, 10) and (14, -5) will be:

Step-by-step explanation:

Given the points

Finding the slope between (8, 10) and (14, -5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(8,\:10\right),\:\left(x_2,\:y_2\right)=\left(14,\:-5\right)[/tex]

[tex]m=\frac{-5-10}{14-8}[/tex]

[tex]m=-\frac{5}{2}[/tex]

Therefore, the slope between (8, 10) and (14, -5) will be:

ik i’m late but, 5/4 fabric or 1 1/4 fabric. :)

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

Answer:D

Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased

Answer:

x = -1/3

x = 1

Step-by-step explanation:

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

−

14

Step-by-step explanation: Have a nice day I worked really hard on this.

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

Answer:

0.8%

Step-by-step explanation:

Number of people had mild allergic attack = 72

% of people who had mild allergic attack = 72/9000 × 100%

                                                               = 0.8%(Answer)

Answer:

C

Step-by-step explanation:

sinθ=[tex]\frac{2}{5}[/tex]

θ=sin⁻¹ ( [tex]\frac{2}{5}[/tex] )

θ=23.57817848

2θ=47.15635696

sin2θ=sin(47.15635696)=0.7332121112°≈ ((4[tex]\sqrt{21}[/tex])/25)

Answer:

where is the table by the way

Answer:

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Step-by-step explanation:

Given

[tex]Apple = 1/4[/tex]

[tex]Orange = 2/5[/tex]

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

[tex]Cranberry + Apple + Orange = 1[/tex]

Substitute values for Apple and Orange

[tex]Cranberry + 1/4+ 2/5= 1[/tex]

Collect Like Terms

[tex]Cranberry = 1- 1/4- 2/5[/tex]

Take LCM

[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]

[tex]Cranberry = \frac{7}{20}[/tex]

The ratio is then represented as:

[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]

Multiply through by 20

[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]

[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Answer:

= 12n + 19

Step-by-step explanation:

Answer:

I'm gonna go with D

Step-by-step explanation:

If it's wrong meh bad

Step-by-step explanation:

From this figure I think the answer is c

Answer:

Sale price of the watch = $60

Step-by-step explanation:

Given that:

Cost of the watch at Macy's = $150

Discount on watch = 60%

Amount of discount = 60% of cost

Amount of discount = [tex]\frac{60}{100}*150[/tex]

Amount of discount = 0.60*150 = $90

Price after discount = 150-90

Price after discount  = $60

Hence,

Sale price of the watch = $60

Answer:

h(n)=0−9(n−1)

Step-by-step explanation:

From the recursive formula, we can tell that the first term of the sequence is 0

and the common difference is -9

This is the explicit formula of the sequence:

h(n)=0−9(n−1)

Note that this solution strategy results in this formula, however, an equally correct solution can be written in other equivalent forms as well.

Hope this helps :)