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Anna35 [415]
3 years ago
9

Help me ASAP!!!!!!!! See picture attached

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

47 very easy

Step-by-step explanation:

lalalalalalalalalaalalalallala

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Graph the line with this equation.<br> y= 2x + 2
shepuryov [24]

Answer: it would be 2 to the right and 2 up

Step-by-step explanation:

2 right 2 up

6 0
4 years ago
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
4 years ago
a person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. the total annual income from these inve
lukranit [14]

Answer:

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

Step-by-step explanation:

step 1

Let

x-----> the amount invested at 8% rate

y-----> the amount invested at 10% rate

z-----> the amount invested at 12% rate

z=(x+y)+300 ----> equation A

x+y+z=6,700 ----> equation B

substitute equation A in equation B

x+y+(x+y+300)=6,700

2x+2y=6,400

x+y=3,200 -----> equation C

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=1\ year\\ P=\$6,700\\ I=\$716

substitute in the formula above

716=x(0.08)+y(0.10)+z(0.12)

substitute equation A

716=x(0.08)+y(0.10)+(x+y+300)(0.12)

716=0.08x+0.10y+0.12x+0.12y+36

716=0.20x+0.22y+36

0.20x+0.22y=680  -----> equation D

step 2

Solve the system of equations

x+y=3,200 -----> equation C

0.20x+0.22y=680  -----> equation D

Solve the system by graphing

The solution is the point (1,200,2,000)

see the attached figure

Find the value of z

z=(x+y)+300

z=(1,200+2,000)+300=3.500

therefore

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

8 0
4 years ago
Find the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5).
Vilka [71]

Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

Step-by-step explanation:

We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-

(x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})  .....(i)

Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)

Then , by using (i) , the coordinates of the midpoint of CM would be :-

(\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})

Hence,  the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

3 0
3 years ago
500+3 in standard form
otez555 [7]
503 is your answer :)
8 0
4 years ago
Read 2 more answers
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