MATHEMATICS HIGH SCHOOL

Use the solutions below to write the quadratic expression in standard form. x = 3/4 and x = -5/6

Answers

Answer 1

Answer:

Answer:

Hi,

Step-by-step explanation:

The sum of the roots is:

$(3)/(4) -(5)/(6) =-(1)/(12) \n$

The product of the roots is:

$(3)/(4) *(-(5)/(6)) =-(5)/(8) \n$

Quadratic equation in standard form is:

$x^2+(x)/(12) -(5)/(8) =0\n$

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Solve the compound inequality, showing your work. Name the solution set and then draw the graph of the solution set.y-2<-5 or y-2>5

Find the value of x that makes m parallel to n

Answers

Answer:

C. x = 24°

Step-by-step explanation:

(2x+36)° + 4x° = 180° (▼ coordinate angel)

2x°+36°+4x°=180°

2x°+4x°=180°-36°

6x°=144°

x°=144°/6

x°=24°

In a booster club, 1/8 of the 128 members are men. How many male members are in the club? A. 1
B. 16
C. 112
D. 64

Answers

There are 16 malemembers in the club.

We have,

To find the number of male members in the booster club, we need to calculate 1/8 of the total number of members.

Given that there are 128 members in the club, we can find the number of male members by multiplying 1/8 by 128:

(1/8) * 128 = 128/8 = 16

Therefore,

There are 16 malemembers in the club.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ6

b. 128/8=16 16*1=16 That's why the answer is b.

Write a rule for a geometric sequence that has -6 as its first term and a common ratio of 2. What is the tenth term of this sequence?A) A(n) = 2 * -6^10-1; -20,155,392
B) A(n) = -6 * 2^n; -6144
C) A(n) = -6 * 2^n-1; -3072
I need this Answered ASAP, Thank you

Answers

The general form of the geometric sequence is $a_(n) = a_(1) (r) ^(n-1)$ , where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1. Our formula then looks like this: $a_(10) =-6(2) ^(10-1)$ . Simplify it to $a_(10) =-6(2)^9$ . Take 2 to the 9th power then multiply it by -6 to get -3072. C is your answer.

The formula for density is given by p=m/v where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml7.7
7.7278
7.73
0.1

Answers

p = [27.82] ÷ [3.6]
p = 7.727·
p = 7.728 (3dp)

The answer is B)

Answer:

Option 2nd is correct

p = 7.7278 g/ml

Step-by-step explanation:

Formula for the density is given by:

$p = (m)/(v)$ .....[1]

where,

p is the density

m is the mass

v is the volume

As per the statement:

If a substance has a mass of 27.82 grams and a volume of 3.6 ml

⇒ $m = 27.82 g$ and $v = 3.6 ml$

Substitute in [1] we get;

$p = (27.82)/(3.6) = 7.72777778 g/ml$

Therefore, the most accurate density of the substance in g/ml is, 7.7278

: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Answers

Answer:

$x=0\ny=2$

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

$-x+3y=6\nx+y=2$

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

$4y=8\ny=2$

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

$x+y=2\nx+2=2\nx=2-2\nx=0$

Por lo tanto, x = 0 y y = 2

Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?