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Airida [17]
3 years ago
15

What are the solutions to 6(x - 5) = 12 and 6y - 5 = 12?

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:x=7

y=2 5/6

Step-by-step explanation:

6(x-5)=12

6x-30=12

6x=12+30

6x=42

6x/6=42/6

x=7

6y-5=12

6y=12+5

6y=17

6y/6=17/6

y=2 5/6

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Find the smallest zero of f(x+5)
podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

7 0
3 years ago
Read 2 more answers
Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?
insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

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or

   3 presents

-----------------------

  10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

           10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0
3 years ago
A box of peanut butter crackers contains 12 individual snacks s is equal to 12 times the number of boxes of crackers b. What is
Luda [366]

Answer:

B+12=12 i am learning this this week

Step-by-step explanation:

6 0
4 years ago
.25 is 1/8 of what number
LenaWriter [7]
2 i believe because if .25 is equal to 1/8 then that mean the 4/8 would be equal to 1 and in turn 8/8 would equal 2.
7 0
3 years ago
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from so
Romashka [77]

Answer:

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Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

where  is the velocity of plane = 150mi/hr and  = velocity of wind = 50 mi/hr

Therefore,   =  alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

6 0
3 years ago
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