3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?

Answer:

B

Step-by-step explanation:

got it right on edge

The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

Given:

f(x) = x² – 2x

We can find the inverse function by solving for y:

x = f(y)

x = y² -2y

x +1 = y² -2y +1

x +1 = (y -1)²

√(x +1) = y -1

1 +√(x +1) = y

So, the inverse function is

[tex]f^{-1}[/tex](x) =   1 +√(x +1)

Thus, the minimum value of x for which the original function has this as an inverse is 1.

So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

Learn more about Inverse Function here:

https://brainly.com/question/20664646

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Answer:

[tex]m = (5n/4) -7[/tex]

Step-by-step explanation:

[tex]n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7[/tex]

Answer:

25x+5=25x-7.

25x-25x=-7-5.

= -12.

Answer:

No solution.

Step-by-step explanation:

[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

(5)(1/5)=1

Answer: inverse property of multiplication

Step-by-step explanation:

You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator

Since 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.

Answer:

f(4) = -10

x = 0

Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

Answer:

f(4) = -10

Step-by-step explanation:

Answer:

68.8 yards

Step-by-step explanation:

We can do justice to this question using proportion,

Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z

Let us denote the field on map as Z

Then we can say

5 inches on the map/ 2 yards in the park = 175inches/ X yards

If we cross multiply

5(Z )= 172 × 2

5(Z ) = 344

Make Z subject of the formula

Z= 344/5

Z= 68.8 yards

Hence the the actual park is 68.8 yards

Answer:

see explanation for number line\ $29$

Step-by-step explanation:

this is the answer guys.

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

Answer:

11

Step-by-step explanation:

I took map test

Answer:

Taking square-root of numbers

Step-by-step explanation:

The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.

Answer:

Finding the area of a circle

Step-by-step explanation:

Answer:

Three times the sum of x and seven plus ten

Step-by-step explanation:

Three times= 3(times)

the sum of x and seven= x+7

plus 10= +10

Answer: [tex]x=9[/tex]

Add 15 to both sides

[tex]x-15+15=-6+15\\x=9[/tex]

Steps to solve:

x - 15 = -6

~Add 15 to both sides

x = 9

Best of Luck!

Answer:

2y-18

Step-by-step explanation:

(y-9)2 -----Distributive property

2*y=2y

2*9=18

=2*y-2*9

=2y-18

Hope this helps ;) ❤❤❤

Answer:

yes

Step-by-step explanation:

Answer:

It's Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

6x+15

Step-by-step explanation:

(3) (2x+5)

(3) (2x) + (3) (5)

Answer:

-4k-2

Step-by-step explanation:

Answer:

a circle is the locus of all points equidistant from a central point

Answer:

D is correct

Step-by-step explanation:

A is incorrect because the lesser than is .001 higher

B is wrong since is .18 higher

C is wrong because its not equalone is .9 higher

Answer:

D

Step-by-step explanation:

6365.1<6365.999

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

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and mark me as a brainest

Answer:

[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

[tex] \sf{2x + 3x = 35}[/tex]

Solve for x.

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]

Divide both side by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]

[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Answer:

[tex]x=\sqrt[3]{2}+4[/tex]

Step-by-step explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

[tex]2=(x-4)^3[/tex]

To remove the cube, we need to take the cubic root of both sides

[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]

And the last step to solve for x will be to add 4 to each side

[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]

And there is our value for x

Answer:

f(x)= x + 5

Step-by-step explanation:

The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]

Comparing both coordinate :

[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]

and

[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

Answer:

B. 8 times the difference of a number z and 6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Translate (z - 6)

z = a number z

- = difference

6 = six

(z - 6) = The difference between a number z and 6

Step 2: Translate 8(z - 6)

(z - 6) = The difference between a number z and 6

Since we are distributing the 8, we are multiplying.

8 times the difference of a number z and 6

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

Answer:

13

Step-by-step explanation:

5 (2x - 8) = 90

5 × 2x - 8 = 90

2x - 8 = 90 ÷ 5

2x - 8 = 18

2x = 18 + 8

2x = 26

2x/2 = 26/2

x = 13

13 is the answer to the question.

Answer:

5: x=27 (Positive)

8: x=9 (9 positive not negative)

11: x=24 (Positive not negative)

Step-by-step explanation:

5: 9*3=27 so 27/9

8: 38+7=45 45/5=9 so x=9

11: 15-7=8 8*3=24, 24/3-15=-7 so x=24

Answer:

If the recipe calls for 5/8 cup of butter, the ratio would be 3:5 (blueberries to butter), if the recipe was enlarged you can use the same method and find out the new ratio

Answer:

16. DF = - 1-(-4) = 3

17. DE = -1/1/3 -(-4)

= - 5/3 + 12/3

= 7 / 3

18. FG = 2-(-1) = 3

19. FH = 3.5 - (-1) = 4.5

20. GH = 3.5 - 2 = 1.5

21. EH = 3.5 -(-1.5) = 5

22. AC = 16

3x + 7 = 16

x = 3

23. AB = x +7

= 10

24. BD = 2x + 3x - 1

=5(3) - 1

=14

25. CE = 3x - 1 + 2x + 3

=5x +2

=17