whats the answer to this​

Answer:

x = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] (4x - 1)² = 4 ( multiply both sides by 2 to clear the fraction )

(4x - 1)² = 8 ( take the square root of both sides )

4x - 1 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 1 to both sides )

4x = 1 ± 2[tex]\sqrt{2}[/tex] ( divide both sides by 4 )

x = [tex]\frac{1+/-2\sqrt{2} }{4}[/tex]

   = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]

Answer:

(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2

Step-by-step explanation:

For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ).  This means you simply plug the function g(x) into each x within the function of f(x).  Let's do this:

f(x) = 3x + 2

g(x) = x^2 + 1

f(g(x)) = 3(x^2 + 1 ) + 2

(fog)(x) = f(g(x))

Cheers.

Answer:

4 batches

Step-by-step explanation:

First, you need to convert the mix number into a single fraction:

3 1/5 = 16/5 total barrels of coffee beans used

This allows us to divide the numbers easier in the next step.

Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:

(16/5) / (4/5) = 16/4 = 4 batches

(The fives cancel out because they are the same divisor.)

I hope this helps!

-TheBusinessMan

Answer:

The expressions are as follows:

Remember whenever it's written total it means you have to do addition. Hope it helps you.

Let's use an equation to solve this problem.

[tex]y=24x+16[/tex]

Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.

[tex]57=24x+16[/tex]

[tex]41=24x[/tex]

[tex]x=\frac{41}{24}[/tex]

Which simplifies around to $1.71 dollars.

Hope this helps.

頑張って!

Answer:

Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.

X =  1

Y = 5

Z = 3

Step-by-step explanation:

its easy lol

Answer:

X =  1

Y = 5

Z = 3

or 1 5 3

Step-by-step explanation:

Answer:

S is -2,-3   r -3,-4   R  0,-5

Step-by-step explanation:

is the reflection points :)

Answer:

One answer could be -10/16

Step-by-step explanation:

Step-by-step explanation:

a= - 5 - b

Subs. the above into...

ab = - 24

(-5-b)b = - 24

Therefore b=-24 or b=19

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

a + b = - 5 → (1)

ab = - 24 → (2)

Rearranging (1) expressing a in terms of b, that is

a = - 5 - b → (3)

Substitute a = - 5 - b into (2)

b(- 5 - b) = - 24 ← distribute left side

- 5b - b² = - 24 ( subtract - 5b - b² from both sides )

0 = b² + 5b - 24 ← in standard form

0 = (b + 8)(b - 3) ← in factored form

Equate each factor to zero and solve for b

b + 8 = 0 ⇒ b = - 8

b - 3 = 0 ⇒ b = 3

Substitute these values into (3) for corresponding values of a

b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3

b = 3 : a = - 5 - 3 = - 8

Thus

a = 3, b= - 8 or a = - 8, b = 3

Answer:

-9

Step-by-step explanation:

Step 1 : Put like terms together

x + 9 = 21 + 3x - 4 + 10

Subtract 3x on both sides

-2x + 9 = 21 - 4 + 10

Subtract 9 on both sides

-2x = 21 - 4 + 10 - 9

Simplify

-2x = 18

Step 2 : Divide

[tex]\frac{-2x}{-2}[/tex] = [tex]\frac{18}{-2}[/tex]

x = -9

Answer:

x= -9

Step-by-step explanation:

- Put all the same signs together

x-3x = 21-4+10-9

*Quick tip:

  -when you cross a sign with a number or without a number over the equal  

   sign you have to change the sign (positive to negative and negative to    

   positive.

  -x and 1x is the same thing

- Calculate small sections by small sections

-2x = 17 + 1

-2x= 18

-2/-2x = 18/-2

x= -9

Answer:

The answer is $105

Step-by-step explanation:

Solution: 4x = 12

18.84 rounded to the nearest tenth is 18.8.

Rounding to place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We can see that round a number to the nearest tenth, we need to look at the digit in the hundredth place. In this case, the number is 18.84.

Therefore, digit in the hundredth place is 4.

If the digit in the hundredth place is less than 5, we round down to the previous tenth. If it is 5 or greater, we round up to the next tenth.

Since 4 is less than 5, we round down. Therefore, 18.84 rounded to the nearest tenth is 18.8.

Learn more about rounding numbers  here:

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Answer:

y=7x-27

Step-by-step explanation:

The equation of a line is given by y=mx+C where m is the gradient of the line or slope and c is the intercept on your axis. according to your question, you are given two point on (3,-6) and (5,8). so we can get the gradient m= Y2-Y1/X2-X1= gradient. so Y1= -6, Y2=8 , X1=3, X2=5

slope= 8-(-6)/5-3=14/2=7. so m=7....so the equation of line can be written in form y=7x+C. but we need to find C. C can be gotten from where the line passes through (3,-6) that is when x=3, y=-6. so we can find C from that point. -6=7(3)+C..so we have -6=21+C. C=-6-21=-27

so the equation of the line is y=7x-27

Answer $2.84

Step-by-step explanation:

11.36 divided by 4

Answer:

$2.84 a marker divide $11.36 by the number of markers to get the answer $2.84

Answer:

6/25

Step-by-step explanation:

6/25

0.24... as a fraction in simplest form is 6/25.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

We have:

0.24 = 24/100

In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:

0.24 = 24/100 = 6/25  (divide both numerator and denominator by 4)

Learn more about fraction on:

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Answer:60.58

Step-by-step explanation:add the first numbers 64.67 take that from 125.25 and u got 60.58

Answer:

60.58

Step-by-step explanation:

Subtract the first 2 numbers which equals 64.67 then subtract 64.67 and 125.25 and you get... 60.58

please brainliest??

Answer:

Step-by-step explanation:

"one half the sum of a number and 4" is (1/2)(n + 4)

"three less than the quotient of 5 and the number" is 5/n - 3

putting this all together, we get

(1/2)(n + 4) = (5/n) - 3

Answer:

b.) 1/2(n 4)=5/n−3

Step-by-step explanation:

Step-by-step explanation: For example, 5 can be written as 5/1. The natural numbers, whole numbers, and integers are all subsets of rational numbers.

Answer:

a = 16

Step-by-step explanation:

6 = a/4 + 2

Switch sides.

a/4 + 2 = 6

Subtract 2 from both sides.

a/4 = 4

Multiply both sides by 4.

a = 16

Answer:

f(–6) = 10

Step-by-step explanation:

EDGE

f(-6)=10 is the true option regarding the function.

The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.

General form of a function is f(x)=y

The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.

The given function is given by the set of ordered pairs

(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}

Clearly f(-6)=10 is the only correct option.

Learn more about function here- https://brainly.com/question/12431044

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Answer:

-x - 3

Step-by-step explanation:

(3x - 4) - (4x - 1)​ =

The first set of parentheses is unnecessary, so you can just remove it.

= 3x - 4 - (4x - 1)​

To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.

= 3x - 4 - 4x + 1

Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.

= 3x - 4x - 4 + 1

= -x - 3

[tex]\bf Step-by-step~explanation:[/tex]

[tex]\bf Step~1:[/tex]

To solve this, we have to simplify these numbers by adding like terms.

[tex]42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\[/tex]

[tex]\bf Step~2:[/tex]

Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.

[tex]\frac{42}{14} =3[/tex]

[tex]\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}[/tex]

note: remember to take the comma out or ignore it. I put it in there to help make the number more readable

===========================================

Explanation:

Let x be the value of the sale in dollars.

x-1900 represents the leftover amount that is over 1900

eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount

taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)

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

Solve for x

0.09(x-1900) = 1000

x-1900 = 1000/0.09

x-1900 = 11,111.11111 approximately

x = 11,111.11111 + 1900

x = 13011.1111

x = 13,011.11 rounding to the nearest cent

Answer:

[tex]Absolute\ Value = 8[/tex]

Step-by-step explanation:

Given

Digit = -8

Required

Determine the absolute value

The absolute value is calculated as follows;

[tex]Absolute\ Value = |Digit|[/tex]

Substitute -8 for Digit

[tex]Absolute\ Value = |-8|[/tex]

And it returns the positive of its input;

So

[tex]Absolute\ Value = 8[/tex]

Answer:

2 1/9

Step-by-step explanation:

Divide 19 by 9 and get a number with a remainder

Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number

Answer:

A value

Step-by-step explanation:

Whenever you input a number x into function f(x), you should get an output of y. That means that the function should return a number value.

Answer:

c

Step-by-step explanation:

on edge

Answer:  d) 6   e) 10     g) 900

Step-by-step explanation:

d) [tex]\sqrt{9610} = 98.0306[/tex]

98² = 9604

9610 - 9604 = 6

e) [tex]\sqrt{2906}=53.9073[/tex]

54² = 2916

2916 - 2906 = 10

g)              10            12          15

                 ∧             ∧            ∧

               2·5         2·2·3       3·5

The Perfect square is: 2² · 5² · 3² = 30²

30² = 900