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An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

2x + 3 = x^2

Now we have a quadratic equation.

We can rearrange it to standard form and solve for x using the quadratic formula:

x² - 2x - 3 = 0

a = 1, b = -2, c = -3

x = (-b ± √(b² - 4ac)) / 2a

x = (2 ± √(16)) / 2

x = (2 ± 4) / 2

x = -1 or x = 3

Therefore,

The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.

Thus,

Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.

Learn more about functions here:

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The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.

Now we derive expressions for the initial and final concentrations for cider vinegar:

Initial concentration

[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)

Where:

Final concentration

[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)

Where:

Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:

[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)

[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)

Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):

[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]

[tex]0.02\cdot 32 = 0.03\cdot x[/tex]

[tex]x = 21.333\,oz[/tex]

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

To learn more on concentrations, we kindly invite to check this question: https://brainly.com/question/492238

Answer:

1. they both are the same length and diameter, the difference is thw diameter is a different direction.

2. 4 cm

3. EB and 8 cm

Step-by-step explanation:

Diameter is the length of the circle aross, hope this helps!

Answer:

750

Step-by-step explanation:

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

Answer:

EI = FI and EG is twice the length of EI. Try setting up algebraic equations 3x + 8 = 6x -4 to find the value of x. Then substitute it back into the equation to find the length.

Step-by-step explanation:

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

Answer:

1) 1600cm² 2 )4095cm² 3) 550cm²

Step-by-step explanation:

Because area is length times width, you can use that on these problems.

1) 40*40=1600

2)65*63=4095

3)25*22=550

Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

Answer:

I'm pretty sure its the 1st one.

Step-by-step explanation:

Answer:

This is what I got 10(a+1)

I don't think you need this but there you go.

Step-by-step explanation:

Answer:

y=3/2 x+15

Step-by-step explanation:

Answer:

i can't see your handwriting

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

Answer:

7x+3

Step-by-step explanation:

-5x+6x+14+12x-20-6x+9

combine like terms

7x+3

Answer:

= -30[tex]x^{6}[/tex]-4

i hope that helps and is right

If that is a multiplication sign then it is -184

if that is an x then it would be -4 -180x

Answer:y=4x+4

Step-by-step explanation:

The answer:  a° = 180° - 62° = 118°    ,     b° = 62°  ,     c° = (180° - 62°) ÷ 2 = 59°

Ok done. Thank to me :>

Answer:

do u even still need the answer its been aweek since you asked it and it was due that same day

Step-by-step explanation:

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

7x - 2 = 5x + 14

7x - 5x = 14 + 2

2x = 16

x = 16/2

x = 8

______

Hope it helps ⚜

Answer:

x = -8

Step-by-step explanation:

[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]

Answer: The answer is in the first image.

Explanation: The explanation is in the second image.

Answer:

[tex]\frac{3^{12}}{3^{10}}[/tex]

Step-by-step explanation:

+ or x you plus the indices

- or divide you minus the indices

so 3^8 x 3^4 would be 3^12

and 3^2 x 3^8 would be 3 ^10

Answer:

D) 53.1

Step-by-step explanation:

we can use the soh,cah,toa rule

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

we would use tan because the opposite side of the angle is revealed as 12

the adjacent side of the angle is revealed as 9

there for

tan(theta) = 12/9

theta = arctan(12/9) = 53.1

arctan = tan^-1 = inverse of tan

Answer:

x = 10

Step-by-step explanation:

8x - 12 and 6x + 8 are corresponding angles and are congruent , then

8x - 12 = 6x + 8 (subtract 6x from both sides )

2x - 12 = 8 ( add 12 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

a rash

Step-by-step explanation: