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

Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?

Answers

Answer:

The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7

Step-by-step explanation:

The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where,  6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰

We have;

The last two digits of the powers of 6 are;

6¹ = 6, last two digits = 06

6² = 36, last two digits = 36

6³ = 216, last two digits = 16

6⁴ = 1,296, last two digits = 96

6⁵ = 7,776, last two digits = 76

6⁶ = 46,456, last two digits = 56

6⁷ = 279,936, last two digits = 36

6⁸ = 1,679,616, last two digits = 16

6⁹ = 10,077,696, last two digits = 96

6¹⁰ = 60,466,176, last two digits = 76

6¹¹ = 362,767,056, last two digits = 56

Therefore, the last two digits repeat itself every 5 times

For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76

The last two digits of the powers of 7 are;

7¹ = 7, last two digits = 07

7² = 49, last two digits = 49

7³ = 343, last two digits = 43

7⁴ = 2,401, last two digits = 01

7⁵ = 16,807, last two digits = 07

7⁶ = 117,649, last two digits = 49

7⁷ = 823,543, last two digits = 43

7⁸ = 5,764,801, last two digits = 01

Therefore, the last two digits repeat itself every 4 times

For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01

Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7

is x + 8 ≥ 18 a closed or a open circle

Answers

Answer:closed

Step-by-step explanation:

if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number

Answers

22

(X-17)-5=-25
Divide by -5
X-17= 5
Add 17 to both sides
X=22

Answer:

the number is 22

Step-by-step explanation:

let the number be x

-5(x-17) = -25

-5x + 85 = - 25

-5x = - 25 - 85

-5x = - 110

x = - 110 ÷ - 5

x = 22

Check answer

- 5 × ( 22) + 85

- 110 + 85

- 25

Least to greatest 0.7 0.25 0.6 0.28

Answers

0.25 0.28 0.6 0.7

ignore blah blah blach

Answer:

Least: 0.25

0.28

0.6

Greatest: 0.7

6k ÷ 7 = -3
Solve for k

Answers

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

6k/6 = -21/6

k = -3.5

To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

-21 ÷ 7 = -3

-3 = -3

-3 equals -3 so it is correct that k = -3.5

A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B​

Answers

Answer:

D

Step-by-step explanation:

Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.

Which graph represents a function?

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Is 1.6 or 1.25 bigger

Answers

1.6 is bigger because
1.6 is bigger. Think of 1.6 as 1.60. Is 1.60 or 1.25 bigger? 1.60 is. Hope this helps!!!

What is the answer to this math problem; -2.4x+3.8x-x

Answers

Answer:

0.4x

Step-by-step explanation:

Answer: =0.4x

Step-by-step explanation: hope this help

Let's simplify step-by-step.

−2.4x+3.8x−x

=−2.4x+3.8x+−x

Combine Like Terms:

=−2.4x+3.8x+−x

=(−2.4x+3.8x+−x)

=0.4x

apply appropriate methods in solving rationalequations and inequalities.​

Answers

To solve an equation involving rational functions, we cross multiply the numerators and denominators. Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately

Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases

Answers

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Can you put a better picture ?

Solve for x.
-9x + 5 < 17
AND 13x + 25 < -1

Answers

Answer:

D

Step-by-step explanation:

-9x+5<17

-9x<17-5

-9x<12

9x>-12

x>-3/4

13x+25<-1

13x<-26

x<-2

Decide which type of graph will best represent the fact
that the majority of students like pepperoni pizza.

Answers

Answer:

Bar graph

Step-by-step explanation:

Have a good day!

Hey im helping my lil sis but before i answer it i wanna make sure im right so do any of u have a answer??

Answers

Answer:

Correct.

Step-by-step explanation:

Those points are plotted correctly.

Hope this helps :D Please hit the crown :D

Which expression is equal to (1.5)3? Select all that apply

Answers

Answer:

Step-by-step explanation:

There isn't anything to choose from.

However, if your expression is (1.5)^3, then the answer is 3.375. You can match this up to what choices you have.

1.5^3=3.375

1.5*1.5*1.5=3.375

Answer:

One expression is 3(1.5)

Step-by-step explanation:

Here"s why:

The order of multiplication doesn't matter. For example, 3 times 5 is 15 and 5 times 3 is also 15.

I hope this is somewhat you were looking for!!   :)

help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since there are more than one lines that can land plane safely, we take one of it,

When, X = 10 and Y = 7, so the equation we get as,

y-7 = m(x-10) + c

lets find slope, that is value of m,

y2-y1/x2-x1 = m

so, 9-7/ 7-10 = 2/-3

so, m= -2/3

so the final Equation is,

=> y-7 =(-2/3)(x-10) +c

what is the equation of the line in slope intercept form

Answers

Answer:

y=2/3x

Step-by-step explanation:

can i get some help on this i am confused!!!

Answers

Answer:

st=pq su=rp and for the other ones angle q is 75 degrees so just add 59 and 75 then subtract it from 180 because that's how many degrees is in a triangle and angle s is 59

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Both triangles are congruent, Hence Angles of both triangle will be equal,

We have got two angles,

LP = 59°, LT = 75°

let the third angle be x

The sum of all angles of a triangle is 180°

So,

59° + 75° + x = 180

x = 46°

a) ST = 8m

b) SU = 7m

c) mLR = 75°

d) mLQ = 46°

e) mLS = 59°

1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?

Answers

31 x 7.875 = 244.125

244.125 inches altogether


At the movie theatre, child admission is $5.30 and adult admission is $9.90. On Monday, 164 tickets were sold for a total sales of $1195.80. How many child
tickets were sold that day?
Number of child tickets:
х
$
2
I Don't Know
Submit
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use

Answers

Answer:

97 child tickets were sold.

Step-by-step explanation:

[tex]x+y=164\\5.30x+9.90y=1195.80\\[/tex]

y=164-x

[tex]5.30x+9.90(164-x)=1195.8[/tex]

[tex]1623.6-4.40x=1195.8[/tex]

[tex]-4.40x=-427.8[/tex]

[tex]x=97.23[/tex]

Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?

Answers

3/5 of his budget= $945

1/3 of his budget = $525

$105 will go into his savings because

$1575 - (945 + $525) = $105

what is 5% of 69.9 plz help me out like if your grade was a 69.9 what will 5% bring down the 69.9 to

Answers

Answer: 69.9 - 5 = 64.9

Step-by-step explanation:

Have an awesome day :D

Someone please answer! 8th grade math question.

Answers

Answer: there is 3 terms

Step-by-step explanation: each term is separated by a sybol (addition, substation, multiplication, etc).

An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?

Answers

Answer:

25 times

Step-by-step explanation:

If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish

The proportion is therefore 5/12

In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.

Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years

To check if we are correct, we check the proportion to see if it still evaluates to 5/12

25/60= 5/12 when reduced to lowest terms

i need help. it’s due tonight.thank you

Answers

Answer:28

Step-by-step explanation:

T7 = 35 hope this helps

Help!!!!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.

Answers

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+4}{-8-0}[/tex]Add/Subtract:               [tex]m=\frac{4}{-8}[/tex]Simplify:                        [tex]m=\frac{-1}{2}[/tex]

A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.

PLEASE ANSWER FAST

Answers

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

The dimensions for a rectangular or prism are x + 5 for length, x+ 3 for width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

Answers

Answer:

x^3 +8x^2 +15x

Step-by-step explanation:

(x+5)(x+3)(x)

foil:

x^2+8x+15 (x)

x^3+8x^2+15x

Simultaneous equations
y=x+2
y=x^2

Answers

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

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