Given f(x) = -x² - 2x + 12, find f(8)

Answer:

25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

Step-by-step explanation:

To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.

Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".

We know that:

The total amount of the mixture is 28 grams

The mixture is 30% protein

The first ingredient is 50% protein

The second ingredient is 25% protein

We can set up the following equations to represent the problem:

x + y = 28 (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28)

Which gives us:

0.50x + 7 - 0.25x = 8.4

And further simplifying

0.25x = 0.6

x = 2.4

Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:

y = 28 - x = 28 - 2.4 = 25.6 grams

So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.

Answer:

18

Step-by-step explanation:

6y-12

= 6(5) - 12

= 30 - 12

= 18

Perfect squares NEVER be irrational numbers.

Repeating decimals will ALWAYS be rational numbers.

Irrational numbers will NEVER be able to be written as fractions.

A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.

A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.

Learn more about irrational numbers on:

https://brainly.com/question/20400557

#SPJ1

Complete question

Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.

Perfect squares _______be irrational numbers

Repeating decimals will_____be rational numbers

Irrational numbers will____ be able to be written as fractions

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

required equation is, y=3x-37.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here, given that,

we have to find,

the equation of a line that passes through the point (7,-16) with slope 3.

we know,

y = mx+c

i.e. -16 = 3*7+c

so, c= -37

hence, required equation is, y=3x-37.

To learn more on slope click:

brainly.com/question/3605446

#SPJ5

Answer:

1Kilogram=1000

5820/1000= 5.82 kilograms

Step-by-step explanation:

please mark me as brainliest if im correct

Answer:

No solution

Step-by-step explanation:

-(y² - 2) = y²-5-2y²

= y^2 - 5 - 2y^2 = - (y^2 - 2)

= -y^2 - 5 =  - (y^2 - 2)

= −(y^2 − 2)

= -y^2 - 5 = -y^2 + 2

-5 = 2

We know that -5 is not equal to 2

So, there is no solution

Answer:
2

Step-by-step explanation:

The correct relation which shows the function is,

⇒ (-6, 2), (-2, 3), (2, 7), (6, 2)

Option B is true.

A relation between a set of inputs having one output each is called a function.

Now, We know that;

Function is a relation between a set of inputs having one output each.

So, By given options;

A. (-2, -2), (-6, -5), (2, 8), (2, 2)

Here, Two value of outputs 8, 2 have same input 2.

So, This is not a function.

B. (-6, 2), (-2, 3), (2, 7), (6, 2)

Here, A set of inputs having one output each.

So, This is function.

C. (6, -10), (-6, 7), (6, 6), (-6, 12)

Here, Two value of outputs - 10, 6 have same input 6.

So, This is not a function.

D. (-6, 0), (-2, 5), (-6, -3), (2, 9)

Here, Two value of outputs 0, -3 have same input -6.

So, This is not a function.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ1

A hat symbol (^) is used to represent an estimated value in regression analysis.

We know that in regression analysis, the predicted values are the y-hat values.

Here y is the output variable or dependent variable

A 'hat' symbol (^) is used to denote an estimator.

A ^ symbol is placed over the variable name to denote the estimated value.

In matrix system, a hat matrix is nothing but the projection matrix.

It projects the vector of observations, y, onto the vector of predictions, y^

We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.

Learn more about the symbol here:

https://brainly.com/question/17310967

#SPJ4

[tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The given fractions are mixed fractions we have to convert them to improper fractions

[tex]-6\frac{1}{3}[/tex] =-17/3

[tex]4\frac{5}{12}[/tex] =53/12

Now we have to find the difference

53/12-(-17/3)

53/12+17/3

53+68/12

121/12

[tex]10\frac{1}{12}[/tex]

Hence, [tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ1

At the given rate, we can say that they will walk 6 laps and run 10 laps for a total of 16 miles.

In a direct proportional relationship, we can say that the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

For the first question, we have that out of a total distance of 8 miles,  and we can see that;

Walk is 3/8 of the distance.

Run is 5/8 of the distance.

Thus, the proportional relationships for the distances are given as follows:

Walked = 3/8 x Total Distance.

Ran = 5/8 x Total Distance.

We are told that the total distance is 16 miles and so;

Walked: 3/8 * 16 = 6 laps

Ran: 5/8 * 16 = 10 laps

Read more about proportional relationships at; brainly.com/question/10424180

#SPJ1

Answer:

the answer is 20ft the second choice B

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

Given that,

The functions are p(x) = b² - 16b +32 and q(x) = -32b-32

We have to find the x value when the functions are equivalent to each other.

We know that,

Take the functions

p(x) = b² - 16b +32 and q(x) = -32b-32

When the function are equivalent

p(x) = q(x)

b² - 16b +32 = -32b-32

b² - 16b +32 +32b+32=0

b² + 16b +64 = 0

Now find the factors for 64

64 =  8×8

b² + 8b + 8b +64 = 0

Taking common terms

b(b + 8) + 8(b + 8)=0

(b + 8)(b + 8)=0

b=8

Therefore, The functions are p(x) = b² - 16b +32 and q(x) = -32b-32 the x value when the functions are equivalent to each other is 8.

To learn more about function visit: https://brainly.com/question/29058039

#SPJ1

Answer:

51

Step-by-step explanation:

The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

Find more on coordinates:

https://brainly.com/question/27749090

#SPJ1

Answer:

A

Step-by-step explanation:

"More than" can be taken as "that part extra", thus, addition can be helpful. The number which is 0.1 more than 25.78 is given by Option A: 25.88

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

The number needed is 0.1 more than 25.78

When we add something to a number(some positive thing), we increase that thing and make it more than what it was before.

The expression "c is a more than b" means c = b + a

(b had to increase by 'a' to get equal to c, so c was already 'a' more than b)

The needed number will be 0.1 + 25.78 = 0.10 + 25.78 = 25.88

Thus, the number which is The number which is 0.1 more than 25.78 is given by Option A: 25.88

Learn more about addition here:

https://brainly.com/question/1709448

Answer:

the answer would be 5/24 :)

share of rimmy and simmi is rs15000 and rs25000.

this question is of ratio and proportion, and the solution is as follows,

total amount = rs 40000

Rimmy and Simmi in the ratio = 3:5

sum of shares= 3+ 5 = 8.

so,

share of Rimmy is = 3/8 X 40000

= 120000/8

= 15000

share of simmi is = 5/8 X 40000

= 200000/8

= 25000

so the share of rimmy and simmi is rs15000 and rs25000.

Learn more about ratios here :-

https://brainly.com/question/13419413

#SPJ4

Answer:

  -4/17

Step-by-step explanation:

You want the slope of the line described by the equation 20x +85y = 120.

Putting the equation in slope-intercept form by solving for y gives ...

  20x +85y = 120

  85y = -20x +120

  y = -20/85x +120/85

  y = -4/17x +24/17

The slope is the coefficient of x: -4/17.

The rate of change is -4/17.

Answer:

awser is D. I did the text

Answer:

x + 2y = -15

Step-by-step explanation:

simplify -3x - 6y = 12 by dividing a -3 from each term to get:

x + 2y = -4

now put into slope-intercept form to get:

2y = -x - 4

y = -1x/2 - 2

parallel lines have the same slope so we know our answer must have a slope of -1/2

now we can plug (1,-8) into y=mx + b to get the 'y-intercept', or 'b'

-8 = 1(-1/2) + b

-8 = -1/2 + b

b = -7 1/2 or -15/2

we now know the slope and the y-intercept so our answer is:

y = -x/2 - 15/2

re-write in standard form, which is ax + by = c

multiply each term by  2 to get:

2y = -x - 15

add 'x' to each side to get:

2y + x = -15

x + 2y = -15

-9-(-12)=-9+12

          =3

-9-12=-9+(-12)

       =-21

By geometric formulas, the gray square has an area of 25 square units.

Squares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:

A = l²

Where l is the length of the side of a square, in units.

All the required lengths are represented in the image attached below. First, determine the side length of the gray square:

7 + x = 12

x = 12 - 7

x = 5

The gray square has four sides with a length of 5 units.

Second, determine the area of the gray square by means of square formula:

A = x²

A = 5²

A = 25

According to area formula for squares, the area of the gray square is equal to 25 square units.

To learn more on areas: https://brainly.com/question/22964077

#SPJ1

Answer:

d 16

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you look closely.. You can see that one is longer than the other

Answer:

3x ( 4x-3 )( 2x - 5 )

Step-by-step explanation:

24x^3 - 78x^2 + 45x

factor out biggest common values

3x ( 8x^2 - 26x + 15 )

3x ( 4x-3 )( 2x - 5 )

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

The prism has six sides, so check that whatever list you make lines up.

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

Answer:

72 m²

Step-by-step explanation:

12 m × 8 m = 96 m²

(12 × 4) ÷ 2 = 24 m²

96 m² - 24 m²

72 m²

Answer:

15

Step-by-step explanation:

-/40 and 3/8 40/5=8 3x5=15

Answer:

15 out of 40 students have a part in the spring play.

Step-by-step explanation:

(3/8) * 40 = 15