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Ad libitum [116K]
3 years ago
8

Explain the difference in meaning between |-3| and -3

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

first one it is the absolute value of -3 and the other one is -3 itself absolute value of -3 mean 3

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Solve for f. Show your work! 8=f-(13-2)
Nana76 [90]

Answer:

So F=19

Step-by-step explanation:

8=f-(13-2)

8=f-11

+11  +11       You plus 11 by both sides

19=f

You can check you answer by plugging it in

8=19-(13-2)

your answer would still be 19

8 0
3 years ago
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
kari74 [83]

Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
3 years ago
In the expression 2(10x) + 15y, x represents the number of hours Nina works in a week at a clothing store and y represents the n
ale4655 [162]

Answer:

The statement which is true in the choices is the third item in the choices such as "Nina makes 20x dollars at the clothing store each week". It was clearly stated in the given that x represent the total number of hours she worked in a week. This statement made the other items in the choices wrong.

Step-by-step explanation:

I hope this helps you :)

6 0
3 years ago
Read 2 more answers
I WILL MAKE YOU THE BRAINY IF YOU GET THE RIGHT ANSWER FIRST :D
Arte-miy333 [17]
A^2 - 6a/a-6 • a+3/a
a(a - 6)/(a - 6) • a+3/a
a • (a + 3)/a
a(a+3)/a
a+3.

The correct solution to this question would be B. a+3.
8 0
3 years ago
Read 2 more answers
F(x)=x cubed +3x squared -6x-8
svlad2 [7]

Answer: x = {-4, -1, 2}

<u>Step-by-step explanation:</u>

        q                     p

F(x) = x³ + 3x² - 6x - 8

\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

     =  1 + 3 - 6 - 8

     =  -10    <em>Since the remainder is not 0, then x = 1 is not a root</em>

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

       = -1 + 3 + 6 - 8

       =  0   <em>Since the remainder is 0, x = -1 is a root.</em>

Use synthetic division to find the remaining factor:

x = -1  →  x + 1 = 0

-1  |  1     3     -6     -8

   <u>|  ↓    -1     -2      8     </u>

      1      2    -8      0

(x + 1)(x² + 2x - 8)  = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2)  = 0  

x + 1 = 0        x + 4 = 0         x - 2 = 0

x = -1              x = -4               x = 2

 


6 0
3 years ago
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