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vlabodo [156]
3 years ago
7

Choose Yes or No to tell whether each situation can be represented by the expression 25.75x + 10. Carol has $25.75. She earns $1

0 for each car she washes Max has $10. He earns $25.75 for every lawn he mows. Jin buys x postcards for $25.75 and x keychains for $10 each. Sasha sells a scarf for $10 and x jackets for $25.75 each.
Mathematics
2 answers:
maks197457 [2]3 years ago
8 0
1. no
2. yes
3. no
4. yes
kherson [118]3 years ago
8 0

Answer:

<h3>Max has $10. He earns $25.75 for every lawn he mows.</h3><h3>Sasha sells a scarf for $10 and x jackets for $25.75 each.</h3>

Step-by-step explanation:

The expression is: 25.75x+10.

This expression represent a situation where a person earns $25.75 per unit, and the person already has $10.

So, all situations that have this characteristics are:

  • Max has $10. He earns $25.75 for every lawn he mows.
  • Sasha sells a scarf for $10 and x jackets for $25.75 each.

Both situations have as initial condition +$10, and each person earns $25.75 per unit, which is the represented by a variable.

Other options cannot be represented by the given expression, because they don't earn $25.75 per unit of some item, and the initial condition is not +$10.

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What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
I need to find the slope, x intercept and y intercept please help
Sati [7]
Solve for y. the slope will be m, y intercept will be b
6 0
3 years ago
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c
GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor (F), en newtons, es:

F = m\cdot a (1)

Donde:

m - Masa, en kilogramos.

a - Aceleración, en metros por segundo cuadrado.

Si sabemos que m = 150\,kg y a = 4\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = 600\,N

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que m = 150\,kg y a = -6\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = -900\,N

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

8 0
3 years ago
HELP ME PLEASE WITH THIS QUESTION!!!!!!!!!!!
allochka39001 [22]
I think you have to divide
7 0
4 years ago
in a reverse stock split , the number of outstanding shares is reduced while the market price shares stays the same ? true or fa
Art [367]

False!


The first statement is correct, a company's traded shares reduces *BUT* that results in an increase in the par value or earnings per share. Same goes for a stock.


- Dysmy ☕

3 0
3 years ago
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