Label the parts:

X2 + 4y + 2(x+5) +7
factor

constant

coefficient

variable

term

exponent

Answer:

its the upper left one

Step-by-step explanation:

hope i helped

Answer:

[tex]f(x) = 3^x[/tex] --- Function A

[tex]f(x) = x^2 - 5[/tex] --- Function B

[tex]f(x) = 18x -6[/tex] --- Function C

Step-by-step explanation:

Solving (a): Equation of Function A

An exponential equation is represented as:

[tex]y = ab^x[/tex]

From the graph of function A,

[tex]x = 0\ when\ y = 1[/tex]

[tex]x = 1\ when\ y = 3[/tex]

For: [tex]x = 0\ when\ y = 1[/tex]

[tex]y = ab^x[/tex] becomes

[tex]1 = ab^0[/tex]

[tex]1 = a[/tex]

[tex]a =1[/tex]

For: [tex]x = 1\ when\ y = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]3 = a*b^1[/tex]

[tex]3 = a*b[/tex]

Substitute 1 for a

[tex]3 = 1*b[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]y = 1*3^x[/tex]

[tex]y = 3^x[/tex]

Replace y with f(x)

[tex]f(x) = 3^x[/tex]

Solving (b): Equation of Function B

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

From the table of function B,

[tex]x = 3\ when\ y =4[/tex]

[tex]x = 5\ when\ y =20[/tex]

[tex]x = 6\ when\ y =31[/tex]

For: [tex]x = 3\ when\ y =4[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]4 = a*3^2 + b*3 + c[/tex]

[tex]4 = a*9 + 3b + c[/tex]

[tex]4 = 9a + 3b + c[/tex]

For [tex]x = 5\ when\ y =20[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]20 = a*5^2 + b*5 + c[/tex]

[tex]20 = a*25 + b*5 + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

For [tex]x = 6\ when\ y =31[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]31 = a*6^2 + b*6 + c[/tex]

[tex]31 = a*36 + b*6 + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

So, we solve for a, b and c in:

[tex]4 = 9a + 3b + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

Make c the subject in [tex]4 = 9a + 3b + c[/tex]

[tex]c = 4 - 9a - 3b[/tex]

Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]

[tex]20 = 25a + 5b + c[/tex] becomes

[tex]20 = 25a + 5b + 4-9a-3b[/tex]

Collect Like Terms

[tex]-4+20 = 25a -9a+ 5b -3b[/tex]

[tex]16 = 16a+ 2b[/tex]

Divide through by 2

[tex]8 = 8a + b[/tex]

[tex]c = 4 - 9a - 3b[/tex]

[tex]31 = 36a + 6b + c[/tex] becomes

[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]

Collect Like Terms

[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]

[tex]27 = 27a+ 3b[/tex]

Divide through by 3

[tex]9 = 9a + b[/tex]

Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]

Subtract both equations:

[tex]8 - 9 = 8a - 9a + b - b[/tex]

[tex]8 - 9 = 8a - 9a[/tex]

[tex]-1 = -a[/tex]

Divide both sides by -1

[tex]1 = a[/tex]

[tex]a = 1[/tex]

Substitute 1 for a in [tex]9 = 9a + b[/tex]

[tex]9 = 9*1 + b[/tex]

[tex]9 = 9 +b[/tex]

Subtract 9 from both sides

[tex]9-9=9-9+b[/tex]

[tex]0=b[/tex]

[tex]b = 0[/tex]

Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]

[tex]c = 4 - 9*1-3*0[/tex]

[tex]c = 4 - 9-0[/tex]

[tex]c = -5[/tex]

So, the equation is:

[tex]y = ax^2 + bx + c[/tex]

[tex]y=1*x^2 +0*x-5[/tex]

[tex]y=x^2 -5[/tex]

Replace y with f(x)

[tex]f(x) = x^2 - 5[/tex]

Solving (c): Equation of Function C

This is calculated using:

[tex]f(x) =a + (x -1)d[/tex]

Where

[tex]a = 12[/tex] -- the first term

d = the difference between successive terms

[tex]d = 30 -12 = 48-30 = 66 -48[/tex]

[tex]d =18[/tex]

So, we have:

[tex]f(x) =a + (x -1)d[/tex]

[tex]f(x) = 12 + (x - 1)*18[/tex]

Open bracket

[tex]f(x) = 12 + 18x - 18[/tex]

Collect Like Terms

[tex]f(x) = 18x - 18+12[/tex]

[tex]f(x) = 18x -6[/tex]

Hi there!

I hope this helps you!

Answer:

-x

Step-by-step explanation:

Answer:I think it’s 33.33%? Not 100% sure but I hope it helps!

Step-by-step explanation:

Answer:

This is a triangular prism

Step-by-step explanation:

Answer:

17.08

Step-by-step explanation:

Answer:c=1

Step-by-step explanation:Step 1: Simplify both sides of the equation.

−5=−3(c−2)−8

−5=(−3)(c)+(−3)(−2)+−8(Distribute)

−5=−3c+6+−8

−5=(−3c)+(6+−8)(Combine Like Terms)

−5=−3c+−2

−5=−3c−2

Step 2: Flip the equation.

−3c−2=−5

Step 3: Add 2 to both sides.

−3c−2+2=−5+2

−3c=−3

Step 4: Divide both sides by -3.

−3c

−3

=

−3

−3

c=1

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.

Answer:

35 squared plus x squared equals 78 Squared

which makes your answer

69.7

Step-by-step explanation:

Answer:

35 square + x square 78 square

= 69.7

Step-by-step explanation:

Answer:

d⁴y/dx⁴ = -12/x⁴

Step-by-step explanation:

y = 2In x

We want to find d⁴y/dx⁴. This is the fourth derivative.

Using product rule, first derivative is;

dy/dx = 2/x

Answer:

A

Step-by-step explanation:

12 divided by 3.6= 3.33

251 divided by 3.33 = 75.3 meters

Hope this helps!

Answer:

Half of 6 is 3

Half of 8 is 4

so it will be 3 in by 4 in.

Step-by-step explanation:

Answer:

3 by 4

Step-by-step explanation:

What is the question? Take another picture with the full question.

Answer:

is this linear fractions to be exact mathaway will her;p

Step-by-step explanation:

Answer:

x=3 and 1/2

Step-by-step explanation:

4x+7y=-14

8x+5y=8

2(4x+7y=-14)

8x+14y=-28

8x+5y=8

9y=-36

y=-4

8x+5(-4)=8

8x-20=8

8x=28

x=3 and 1/2

Answer: A. x=3 and 1/2

Step-by-step explanation: (Happy to help) (0.<)

Answer:

(0,0) doesn’t show a rate of 12 messages per hour

I’m confused about the rest please elaborate

Step-by-step explanation:

Answer:

around 20 cookies

Step-by-step explanation:

Answer:

D 15

Step-by-step explanation:

If you look at the graph the number of bags, in 1 bag is 15 and if she divided them evenly then 15 would have to be in every bag.

Answer:

Hello

Step-by-step explanation:

I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?

Answer:

b=-3

Step-by-step explanation:

9+3=-4b

12=-4b

b=12/-4

b=-3

Answer

sorry im workin on it

Step-by-step explanation:

Answer:The equation that best represents the amount of money earned by linda is as follows:

m = 8.50 * h.

The table will be given by the substitution of the number of hours in the written equation:

h 4 5 6 7

m 34 42.5 51 59.5

Answer:

B

Step-by-step explanation:

Answer:

2x+15=33

Step-by-step explanation:

Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.

Since he started doing  15 sit-ups on the first day, the total number of sit-ups

after x days would be 2n+15.

Since he did a total of 33 sit ups today, then 2n+15=33