Determine f(-2/3) for the function f(x)=3x²+2x+1​

Answers

Answer 1

Answer:

1

Step-by-step explanation:

To evaluate, substitute x = - [tex]\frac{2}{3}[/tex] into f(x), that is

f(- [tex]\frac{2}{3}[/tex] )

= 3(- [tex]\frac{2}{3}[/tex] )² + 2(- [tex]\frac{2}{3}[/tex] ) + 1

= 3([tex]\frac{4}{9}[/tex] ) - [tex]\frac{4}{3}[/tex] + 1

= [tex]\frac{4}{3}[/tex] - [tex]\frac{4}{3}[/tex] + 1

= 0 + 1

= 1

Answer 2

Answer:

1

Step-by-step explanation:

f(x) = 3x² + 2x + 1

f(-2/3) = 3x² + 2x +1

f(-2/3) = 3(-2/3)² + 2(-2/3) + 1          

Substitute the value in for all the x's

f(-2/3) = 3(4/9) + 2(-2/3) + 1

f(-2/3) = 12/9 + (-4/3) + 1

f(-2/3) = 4/3 + (-4/3) + 1                

Subtracting 4/3 by (-4/3) gets you 0 so I didn't write it down.

f(-2/3) = 1

So, the answer I got is 1


Related Questions

AVA HEART RATE IS 65 beats per minute. If Avas heart beat 604,800 times, how many full days would have elapsed

Answers

Answer:

520 full days.

Step-by-step explanation:

Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.

I hope this helps:)

Plz help I don’t know the answer very important question

Answers

Answer

D.26

Step-by-step explanation:

Choose the equation that shows a step in the
process of completing the square on the given
quadratic.
y=x2 + 8x - 3
O y=x2 + 8x + 8 - 3-8
Oy=x2 + 8x + 8-3 +8
O y = x2 + 8x + 16 - 3 - 16
O y = x2 + 8x +16 - 3+16

Answers

Answer: y = x2 + 8x + 16 – 3 – 16

Step-by-step explanation:

I need help!! PLEASE I DONT WANNA FAIL THIS SEMESTER

Answers

Answer:

I AM GUESSING ITS GONNA BE 39.6

Step-by-step explanation:because 40% of 99 is 39.6

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Answers

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60Combine like terms:                   -4.5x + 72 = -7.5x + 42Add 7.5x on both sides:             3x + 72 = 42Subtract 72 on both sides:        3x = -30Divide 3 on both sides:              x = -10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)Add:                                     4.5(18) + 36 = 102 - 2.5(-6)Multiply:                               81 + 36 = 102 + 15Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

If the cost of a notebook is 2x-3 and the cost of a pen is x-4, what is the cost of 3 notebooks and 5 pens?

Answers

Answer:

notebook=3 pen =1

Step-by-step explanation:

plug in the numbers in the equation. 2(3)-3 2*3=6 6-3=3

(5)-4=1

Find the surface area of the prism

Answers

Answer:  168 square feet

=========================================================

Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

We just add up all the individual areas of each face to get the total surface area.

Kathy's father thinks she spends too much time on the phone. He wants to see how much time she spent talking last month, but he does does not have the phone bill; he's has only his checkbook, which tells that her bill last month was $110. The phone company charges a monthly base fee of $50,plus ten cents per minute.how many minutes did Kathy spend on the phone last month?

Answers

Answer:

minute 600

Step-by-step explanation:

$1 = 100 pennies

60 = x pennies

x =6000/10

x = 600 minutes

a new candle is 8 inches tall and burns at a rate of 2 inches per hour. a. Write an equation that models the height h after t hours. b. Sketch the graph of the equation.

Answers

the first one, -2h+8 would be true because if we were to replace the value of hours for h we would get the answer we need

What are the greatest common factor of 9a^b and 30ab^3?​

Answers

The GCF would be 3a^b

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³

Can someone show me an orthographic drawing that can make different isometric diagrams?

Answers

Answer:

Step-by-step explanation:

Help asap cuz idk what’s going on

Answers

Answer:

The answer is the first one or 9.5

Step-by-step explanation:

This is because you need to use a^2+b^2=c^2

Plug in 9 and 3

To get 81+9

To get 90

Now find the square root of 90

It is around 9.48

Which is closest to 9.5

choose the graph that represents the linear equation y = 2x + 1

Answers

Answer:

The third option is the answer.

Step-by-step explanation:

In the formula y = mx + b, using the equation given,

m = 2, which means that the line goes up 2 units and right 1 unit.b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

Answer:

the 3rd option

Step-by-step explanation:

In the formula y = tx + b, using the equation given,

t = 2, which means that the line goes up 2 units and right 1 unit.

b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

pLease help and thanks

Answers

Answer:

a

Step-by-step explanation:

Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.

Given that
4x : 3= 11 : 5 Calculate the value of x
.

Answers

Step-by-step explanation:

[tex]1 \frac{13}{20} [/tex]

[tex]4x \3 = 11 \5 \\ \\ 20x = 33 \\ x = 33 \div 20 \\ = 1 \frac{13}{20} [/tex]

Three more than the product of a number and 2 equals 7.
for the unknown number

Answers

3 + 2n = 7

Hope this helps and have a nice day/night!!!

Answer: the unknown number is 2.

Step-by-step explanation: 2x+3=7

2x=7-3

2x=4

X=2

almost due. would appreciate help please :)!!

Answers

See the attachment.....

The entrance to a museum in Paris is shaped like a square pyramid the base of the pyramid has a side length of 35 meter and the height of the pyramid is 22 meters which measurement is closest to the volume of the pyramid in cubic meter

Answers

Answer:

Step-by-step explanation:

8,983

Answer:

just to comfirm the answer it is 8,983 m, I got it right on my test

Step-by-step explanation:

Solve the following system of equations using the elimination method.

8x + 2y = 30. AND


7x + 2y = 24

A

(6,–9)


B)


(3,–12)


C)


(–6,–5)


D)


(–5,8)

Answers

Answer:

A ( 6 . -9 ) it's so easy . . .. ..

Identify the coefficients in the following expression.
3x – 5y – z + 13
A. 3, -5, -1
B. 3, -5
C. 3, 5, 13
D. 3, 5, 1, 14

Show your work

Answers

Answer:

I think it is C I do not know

Daren draws a scale model of the Statue of Liberty that is 15 inches tall. If the Statue of Liberty is 305 feet tall, what is the scale of the model?​

Answers

Answer:

The scale of the model is 1 : 244.

Step-by-step explanation:

15 inches = 1.25 feet. (1 inch = 0.0833333 feet)

Hence, the scale is 1.25 : 305 = 1 : 244. (1.25 / 1.25 : 305 / 1.25)

Hope this helped!

ULICU
Find k.
k
45°
7-12 m
45°
O 7
O 72
O 7V2
2
O 14

Answers

Answer:

O7v2 hope that helps ya! Mark as brainlest

What is the slope of the line that contains these points?
x 8 11 14 17
y 36 12 -12 -36
slope:

Answers

Answer:

-8

Step-by-step explanation:

Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

I think it is c or d but i would go with c for sure

Answer:

D.) algebra rules

Step-by-step explanation:

Had it on the quiz

A truck is carrying 102 bushels of sweet potatoes​, 101 bushels of tangerines​, and 103 bushels of spaghetti squash. What is the total weight of the​ crops?

Answers

Answer:

306

Step-by-step explanation:

Answer:

there are 305 bushels all together on the back of the truck

Step-by-step explanation:

I cannot give you the poundage of the bushels all together because you never said how much the bushels weighed

⚠️WILL GIVE BRAINLIEST⚠️​

Answers

Answer:

It's letter C (x = -2) (y = 1)

Step-by-step explanation:

Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.

Answers

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

Select all ratios equivalent to 1:8.

Answers

Answer: 2:16 - 3:24 - 4:32 - 5:40 - 6:48 - 7:56 - 8:64 // just keep adding each side to its own side

Step-by-step explanation:

Well I don't know the answer choices so

18. Question Category: Writing Linear Functions and Equations
Select the correct answer.
What is the equation for a line that passes through the points (5,-3) and (-10,15)?
6
y =
52 – 3
y =
6
2 + 3
5
6
--
Oy= -
- 3
Oy=-=+3

Answers

Answer:

15-(-3)/(-10)-5

12/-15

3/5

y = 3/5x + b

15 = 3/5(-10) + b

15 = -6 + b

15 + 6 = b

b = 19

y = 3/5x + 19

(52 divided by 4) + 5 exponent 3

Answers

the answer is 138, because you divide first then add and then multiply.

Answer:

138 (if the exponent 3 in strictly on the 5)

5832 (if the exponent 3 in on the whole problem)

Step-by-step explanation:

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