Consider these functions:

f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2

What is the value of f(g(-2))?

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

Answer:

0.002704

Step-by-step explanation:

You just multiply 0.052 by itself

then divide the answer by 0.052

Answer: B I believe

Step-by-step explanation:

Answer:

Isosceles becuase there are 2 equal sides but 1 side is different.

Answer:

B 66x+206=636

Answer:

13 so yeah it correect

Answer:

Step-by-step explanation:

perimeter of the given trapezoid = 7 + 4 + 4 + 5

                                                      = 20 units

                                             (see image below)

Answer:

?

Step-by-step explanation:

?

what the last person said

let

width = w

length = 4w + 11

2(length) + 2(width) = perimeter

2(4w + 11) + 2(w) = 162

8w + 22 + 2w = 162

10w + 22 = 162

10w = 140

w = 14 cm (WIDTH)

length = 4w + 11

length = 4(14) + 11

length = 56 + 11

LENGTH = 67 cm

The length is 4(14)+ 11 = 67 cm and width is 14 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 162 cm

let the width be x .

then, the length is 4x+ 11

Thus, Perimeter of rectangle= 2(l + w)

162 = 2( 4x + 11 + x)

162 = 2( 5x +11)

81 = 5x+ 11

5x= 70

x= 14

Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.

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Answer:

1  1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

Answer:

thank you

Step-by-step explanation:

thanks for the pts i need them sowwy

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7        +7

32=4x

32/4  4x/4

8=x

Answer:

Step-by-step explanation:

t+t+10+t+20=180

3t+30=180

3t=180-30=150

t=150/3=50

t+20=50+20=70

exterior angle=180-70=110°

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

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Answer:

240

Step-by-step explanation:

2*8*3*5

Answer:

160

Step-by-step explanation:

a P e X

Answer:

24y-48

btw just downloaded a app called YHomework it shows the steps

We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).

By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!

The solutions to the equation are the X coordinates where the graph crosses the X axis.

They are -5,-2 and 4.

Answer:

6090

Step-by-step explanation:

Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

Answer:

2 solutions:

1) m =(4-√52)/2=2-√ 13 = -1.606

2) m =(4+√52)/2=2+√ 13 = 5.606

Step-by-step explanation

The first term is,  m2  its coefficient is  1 .

The middle term is,  -4m  its coefficient is  -4 .

The last term, "the constant", is  -9

Step-1 : Multiply the coefficient of the first term by the constant   1 • -9 = -9

Step-2 : Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   -4 .

     -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1:

 m2 - 4m - 9  = 0  

STEP 2:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = m2-4m-9

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Am2+Bm+C,the  m -coordinate of the vertex is given by  -B/(2A) . In our case the  m  coordinate is   2.0000  

Plugging into the parabola formula   2.0000  for  m  we can calculate the  y -coordinate :

 y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0

or   y = -13.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = m2-4m-9

Axis of Symmetry (dashed)  {m}={ 2.00}

Vertex at  {m,y} = { 2.00,-13.00}

m -Intercepts (Roots) :

Root 1 at  {m,y} = {-1.61, 0.00}

Root 2 at  {m,y} = { 5.61, 0.00}

Add  9  to both side of the equation :

  m2-4m = 9

Now the clever bit: Take the coefficient of  m , which is  4 , divide by two, giving  2 , and finally square it giving  4

Add  4  to both sides of the equation :

 On the right hand side we have :

  9  +  4    or,  (9/1)+(4/1)

 The common denominator of the two fractions is  1   Adding  (9/1)+(4/1)  gives  13/1

 So adding to both sides we finally get :

  m2-4m+4 = 13

Adding  4  has completed the left hand side into a perfect square :

  m2-4m+4  =

  (m-2) • (m-2)  =

 (m-2)2

Things which are equal to the same thing are also equal to one another. Since

  m2-4m+4 = 13 and

  m2-4m+4 = (m-2)2

then, according to the law of transitivity,

  (m-2)2 = 13

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (m-2)2   is

  (m-2)2/2 =

 (m-2)1 =

  m-2

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  m-2 = √ 13

Add  2  to both sides to obtain:

  m = 2 + √ 13

Since a square root has two values, one positive and the other negative

  m2 - 4m - 9 = 0

  has two solutions:

 m = 2 + √ 13

  or

 m = 2 - √ 13

Solving    m2-4m-9 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  m  , the solution for   Am2+Bm+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 m =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -4

                     C   =   -9

Accordingly,  B2  -  4AC   =

                    16 - (-36) =

                    52

Applying the quadratic formula :

              4 ± √ 52

  m  =    —————

                   2

Can  √ 52 be simplified ?

Yes!   The prime factorization of  52   is

  2•2•13

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 52   =  √ 2•2•13   =

               ±  2 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          m  =  ( 4 ± 2 •  3.606 ) / 2

Two real solutions:

m =(4+√52)/2=2+√ 13 = 5.606

or:

m =(4-√52)/2=2-√ 13 = -1.606

Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

Step-by-step explanation:

first just look at the graph

its very obvious its a linear graph because it is going up in a straight line at a steady pace

so we can then just ignore the answers that say its not a linear function

then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2

so we are left with one the final answer

its equation is y = x + 2 and it is a linear function

hope this helps <3

Answer: 1.8 cans

Step-by-step explanation:

Answer:

1.85 cans of dog food.

Step-by-step explanation:

You need to divide 13 cans by 7 dogs.

Answer:

find ity yourself          -_______________-

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

get a calculator

Answer:

2.0356 × 1016

Step-by-step explanation:

Answer:

1)(6,4)

11+1=12/2 =6

6+2=8/2=4

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio