Solve x2 – 3x - 108 = 0.
A. X = -9 and x = 12
B. x = 9 and x = 12
C. X = 9 and x=-12
D. X=-9 and x = -12​

Answer:30

Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30

Hence statement 3 and 5 are true from the equation given in question.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

  Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

 Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

   Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

  Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

Number of cans used 1/10 part of room  = 1/2

No. of cans paints used 1 part = 1/2 / 1/10 = 5

∵ 1/2 can paint is used = 1/10

∴ 1 can paint used = (1/10)*2 = 1/5

∴ 5 cans  = 100%

3 cans used = (3/5)*100 = 60%

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Answer:

-3/1

Step-by-step explanation:

It's always the x value over the y value, so whatever's in the x

Answer:

-3

Step-by-step explanation:

the equation is y=-3x+5, so m=-3

Answer:

Step-by-step explanation:

Given that:

scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

Since the scores are already in ascending order; then the median which is the middle number will be:

median = (5th term + 6 term)/2

median = (5+5)/2

median = 10/2

meian = 5

b)

Use the cumulative percentage table

X     frequency    cumulative frequency     cumulative percentage

2         1                     1                                            10%

3         1                     2                                           20%

4        2                     4                                            40%

5        3                     7                                             70%

6        2                     9                                             90%

7        1                     10                                             100%

fraction = the no. required to reach 50%/ no. in that interval

= 1/3

Since we have a total of 4 boxes when we reach the value of 4.5

The median of the continuous variable = 4.5 + (1/3)

The median of the continuous variable = 4.833

The median of the continuous variable ≅ 5

Answer:

Step-by-step explanation:

Given that:

scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

Since the scores are already in ascending order; then the median which is the middle number will be:

median = (5th term + 6 term)/2

median = (5+5)/2

median = 10/2

median = 5

Answer:

This would be a 60% increase

Step-by-step explanation:

40-25 and divided by 25 times 100

you should get 15/25 multiply it by 100=60%

Answer:

3 and -10 to get 30

4 and -11 to get -7

Step-by-step explanation:

3 * -10 = -30

4 + (-11) = 4 - 11 = -7

Answer:

B) AAS

Step-by-step explanation:

B) AAS

Answer:

v < 9

Step-by-step explanation:

Since the value of the hat is less than 9, we will use a less than sign.

In the inequality, the less than sign has to be in front of 9.

So, put this together:

v < 9

The inequality is v < 9

Answer:

Radius:3.5 or 7/2

Diameter:7

Step-by-step explanation:

The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

[tex]\frac{dP}{dt} = 0.4p-450[/tex]

Integrating the above equation with respect to time, we get -

[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]

let us define new variable x

[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]

substituting these values in above integral equation, we get -

[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]

[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]

at t = 0, P (0) = 1075, using this condition, we get -

[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]

Answer:

3 7/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

12²+18²=144+324=468

22²=484

468<484

12²+18²≠22²

it is not a right angled triangle.

Answer:

x=-3

Step-by-step explanation:

y-4=(3-4)/(-3-(-3))(x+3)

y-4=1/(-3+3)  (x+3)

y-4=1/0(x+3)

or x+3=0

x=-3

Answer:

14 books were returned.

Step-by-step explanation:

You would have to first

27-15=12

26-12=14

(I hope that this helps)

Answer:

Jade made 4 bracelets

Step-by-step explanation:

If the string was 28inches and a bracelets requires 7inches 28÷7=4

Have a great day

Answer:

12/8 = 6/4 = 3/2; 2/3 * 15 = 10

Step-by-step explanation:

Answer:

-4     y>-2/3x-4

Step-by-step explanation:

-3y>2x+12     y> -2/3x-4

Answer:

Step-by-step explanation:

x- intercepts: ( 18/5,0)

y- intercepts: ( 0,-9/2)

Answer:

I couldn't even understand the question

Step-by-step explanation:

Answer:

685ik

Step-by-step explanation:

uuuuuuyyyyyyyyyyyyyyyyty

plus the wat

5.6t

Answer:

161

Step-by-step explanation:

69 is 30% of 230 so 230-69=161 is the answer.

Answer:

you dont have to multiply

Step-by-step explanation:

because the keyword "Have together" in math indicates it is an adding problem

Answer:

x≥-6

Step-by-step explanation:

Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.

Answer:

Step-by-step explanation:

Question 1

Question 2