HELP HELP PLEASE!!!
consider the function rule: f(x) = 9x -7
a. find f(4)
b. find f(-2)
c. show or explain how the equation 9x - 7 = 65 can be solved using an "undoing process". Report a solution to the equation.

Answers

Answer 1

Answer:

f(4)=29

f(-2)=-25

x=8

Step-by-step explanation:

a. to find f(4), you need to substitute x with 4...

f(4)=9(4)-7

f(4)=36-7

f(4)=29

b. This is the same for f(-2)

f(-2)=9(-2)-7

f(-2)=-18-7

f(-2)=-25

c. 9x-7=65

      +7    +7 to cancel the 7 out and to isolate the x

9x=72

      divide both sides by 9

x=8

So basically f(8)=65

Answer 2

Answer:

a. f(4) = 29

b. f(-2) = -25

c. x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Functions

Function Notation

Step-by-step explanation:

Part A + B

Step 1: Define

Identify.

f(x) = 9x - 7

Step 2: Find

f(4)

Substitute in x [Function f(x)]:                                                                          f(4) = 9(4) - 7[Order of Operations] Evaluate:                                                                      f(4) = 29

f(-2)

Substitute in x [Function f(x)]:                                                                          f(-2) = 9(-2) - 7[Order of Operations] Evaluate:                                                                      f(-2) = -25

Part C

Step 1: Define

Identify.

9x - 7 = 65

Step 2: Solve for x

[Addition Property of Equality] Add 7 on both sides:                                     9x = 72[Division Property of Equality] Divide 9 on both sides:                                 x = 8

Related Questions

Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.

Answers

Step-by-step explanation:

A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction

and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.

that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.

and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.

so, there is no rectangle or square.

but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.

and that makes it a rhombus.

ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN

Answers

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Brainiest if good answer!
No links!!! I won’t view them

Given the system of linear equations:
{x+6y=6
y=1/3 x−2

Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B

Answers

Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est

Answers

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups

I will give these ponts for free if u answer 100+100x100. (help me get brnliest)

Answers

In the beginning operations are performed with multiplication,,,so
100x100=10.000+100=
10.100result…

Answer:

10,100

Step-by-step explanation:

100*100=10000+100=10,000

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?

Answers

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.

Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2​

Answers

Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5

Answers

Answer:First option, y=f(x+3)+5

Step-by-step explanation:

analyse the transformation first

From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 units

Input transformation

In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5

Final answer, when all values are added is y=f(x+3)+5

The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25

Answers

Answer:

B. p= 0.25

Step-by-step explanation:

Pls give brainliest if helps

534 divided by 43. Please help..

Answers

Answer:

Step-by-step explanation:

The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...

1) [tex]\frac{534}{43}[/tex]

2) 12[tex]\frac{18}{43}[/tex]

3) 12.41861

If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.

Answers

B. If we do not go fishing, then it is not sunny

I need a fast answer because I’m about to get on a plane

Answers

Answer:

C

Step-by-step explanation:

-6 is less than 7

How i can answer this question

Answers

Answer:

Your correct Awnsers are A and D

It’s for sure A for one but not sure on the second!

The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t

Answers

Answer:

C. w = 4t

Step-by-step explanation:

Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).

Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.

We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)

The land area of Connecticut is about 12,549,000,000 square meters. The land area

of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?

Answers

Answer:

  4.636

Step-by-step explanation:

The ratio is the same when it is written in terms of billions of square meters:

  CT/RI = 12.549/2.707 ≈ 4.636

The area of CT is about 4.636 times as large as the area of RI.

Greg buys a school lunch for $1.50 each day. His caretaker gave him $40 for his lunches. What equation represents how much money Greg has?

Answers

Answer:

1.50 + 40= $41.50

Step-by-step explanation:

if Greg only had $1.50 and then he got an additional $40, he now has $41.50.

A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.

Answers

Answer: The answer is 189 ft.

find the domain of y=1/2 square root of x+2-3

Answers

35 ——————————————————

Evaluate the following expression 6⋅2+6^4 khan academy

Answers

Answer:

6.2+6^4

6.2+1.296

7.496

What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.

Answers

Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

=> Slope = rise/run = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]=> Slope = [tex]\frac{-3- (-7) }{-6-6 }[/tex]=> Slope = [tex]\frac{4}{-12}[/tex]=> Slope = [tex]\frac{-1}{3}[/tex]

Since we have found the slope, let's find the y-intercept to create our equation.

=> y-intercept = -5

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

[tex]BrainiacUser1357[/tex]

In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.​

Answers

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)

what is g(5)?
g(x)=−x+4, find g(5)

Answers

Answer:

g(5) = -1

Step-by-step explanation:

g(5)= -(5)+4

g(5)= -1

g(x) = -x + 4Putting x = 5, we getg(5) = -5 + 4or, g (5) = -1

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

꧁TheoriesMadeTheWorld꧂

Plz answer bhhk f hi j

Answers

Answer:

its just rhombus and trapezoid i think.

Step-by-step explanation:

Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4

Answers

the answer is A f1/4

in need of help. plz ​

Answers

The maximum degrees in a hexagon is 720 so minus all of the values you see on the screen to 720

2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?

Answers

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)


Find the inequality represented by the graph.

Answers

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

find the slope and y-intercept and write equation in form of

y = mx + b;  m = slope and b = y-intercept

if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3

we can see by looking at the graph that the y-intercept is 1

therefore, y ≤ -1/3x + 1

The Appalachian Trail is about 2,175 miles long.

a. If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?

b. Katia’s friend Joelle joins her for the last quarter portion of the hike. How many full days will Joelle hike?

PLZ HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION!

Answers

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

IMPORTANT QUESTION: If i have 464 assignments to do, and want to get it done in 130 days how many assignments should I do a day?

Answers

Answer:

4 assignments per day.

Step-by-step explanation:

Since you have 464 assignments, and 130 days, then you can divide.464/130 = 3  37/65Since you have a fraction, you can round it to 4 assignments.

Answer:

3 .

Step-by-step explanation:

464 / 130

it’s not exactly like this,

if Im wrong!

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