Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)

Answers

Answer 1

Answer:

The answer is 25

Step-by-step explanation:

f(x) = 3x - 2

h(x) = - 2x² + 3x - 6

First to find f(7/3) substitute the value of x that's 7/3 into f (x)

That's

[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find h(-2) substitute the value of x that's - 2 into h(x)

We have

[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]

So we have

[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]

We have the final answer as

25

Hope this helps you


Related Questions

which of the following is an irrational number
a.18
b.2.66666666666666...
c.
[tex]\pi[/tex]
d.-16/3

Answers

Answer:

  c.  π

Step-by-step explanation:

Intgers, fractions, and repeating or finite-length decimals are all rational number.

Pi (π) is an irrational number.

2 of 5
The ratio of boys to girls in a class is 5:7. There are 36 students in the
class. How many students are boys?

Answers

Answer:

15

Step-by-step explanation:

The ratio has been simplified so it may be hard to read.

To fix this multiply both the 5 and 7 by 3

This will give you 15:21

15 + 21 = 36 which is the total number of students.

Keeping the ratio in the same order means that there are 15 boys.

Answer:

There are 15 boys in the class.

Step-by-step explanation:

There are several ways to solve this, but here's how I did it:

5 (boys) : 7 (girls) = 12 students. There are 26 students, so we need to multiply this by 3.

15 (boys) : 21 (girls) = 36 students.

I need help on this fassssttt

Answers

x=13 ,Explanation:8x+4x+24=180(Reason:Sum of angles of straight line is always 180)then, just simplify the equation and you will get value of x.If any mistake forgive me but I am pretty sure it is wright..

Tamika is buying a handbag that is on sale for 20% off the original price. She uses a coupon to get an additional 5%
off the discounted price. If the original price of the handbag is $48.00, what is the final sale price that Tamika will pay?

Any help would be appreciated!

Answers

Answer:

The answer would be 90

Step-by-step explanation:

do 5 percent of 48

A leg of a right triangle measures 12 cm. The hypotenuse of the triangle measures 37 cm. What is the measure, in centimeters of the other
leg of the triangle?
25
35
39
49

Answers

Answer:

The answer is 35

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side b

Using Pythagoras theorem we have

a² = b² + c²

where a is the hypotenuse

Substitute the values into the above formula and solve

That's

[tex] {37}^{2} = {b}^{2} + {12}^{2} \\ {b}^{2} = {37}^{2} - {12}^{2} \\ { b}^{2} = 1369 - 144 \\ {b}^{2} = 1225 \\ b = \sqrt{1225} [/tex]

We have the final answer as

35

Hope this helps you

Answer:

35

Step-by-step explanation:

To solve for the hypotenuse of a right triangle, we use the Pythagorean Theorem, which is an equation to solve for the length of the hypotenuse given the two sides. The equation is a^2+b^2=c^2, where A and B are the legs of the triangle, and C is the hypotenuse. Let's manipulate this equation now. We are given one leg and the hypotenuse length, so the equation would be 12^2+b^2=37^2. Since we are trying to find the length of one of the legs, you subtract 12^2 from 37^2 to isolate B, and you get B^2 as 1225. You take the square root of both sides, and then you get 35 as the answer.

Use long division to solve:
2 )3.8

Answers

The answer is about 0.5263

9. What are the median, mode, and range of the data? The median is The mode is The range is ​

Answers

Answer:

median: the middle of all data in a least to greatest list

mode: the number that repeats the most

range: the sum of all the data

A small town in Iowa started with a population of 2300 people 80 years ago. Now, the town has experienced significant growth and has a population of about 3234956 people. Approximately how many times larger is the current population in the Iowa town than it was 80 years ago?

Answers

Aproximadamente de 1406.502 veces para q de esta respuesta 2300 lo dividí por la actuales y las multiplique para ver si estaba bien la división

Espero ábrete ayudado!!


x+5l=5

please help i really need it.

Answers

Answer:

x = - 46

Step-by-step explanation:

Step 1:

x = 5 - 51

Answer:

x = - 46

Hope This Helps :)

Answer: x= -46

Step-by-step explanation:

-46+51=5

Help on this one. You will get 10 points

Answers

Answer:

A.true

Step-by-step explanation:

The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

9.Huge bought x notebooks. Write an expression to model the cost of the
notebooks Huge Bought
0 2.50x
O 25x
O 32x

Answers

Answer:

[tex]2.50x[/tex] ,or [tex] 2.5x [/tex]

Step-by-step explanation:

All of the expressions are right, but I doubt that there's a notebook that costs 25 dollars or 32 dollars.

Tanisha made 6 cups in 3 days. If she worked the same pace, how many cups could she make in 5 days?

Answers

From the information above he makes 15 cups in 5 days .

1. Find (4y - 5)(3) - 7).

Answers

(
4
y

5
)
(
3
)

7
Distribute:
=
(
4
y
)
(
3
)
+
(

5
)
(
3
)
+

7
=
12
y
+

15
+

7
Combine Like Terms:
=
12
y
+

15
+

7
=
(
12
y
)
+
(

15
+

7
)
=
12
y
+

22
Answer:
=
12
y

22

I need two answers
-4c+25+c=3c+79

Answers

Answer:

c = -9

Step-by-step explanation:

- 4c + 25 + c = 3c + 79   Combine like terms.

- 4c + c + 25 = 3c + 79

- 3c + 25 = 3c + 79

- 3c + 3c + 25 = 3c + 3c + 79

25 = 6c + 79

25 - 79 = 6c + 79 - 79

- 54 = 6c

-54/6 = 6c/6

-54/6 = c

-9 = c

There aren't 2 answers, you could have 2 answers if one of the c's was squared. Here is another way to do the math.

- 4c + 25 + c = 3c + 79

- 4c + c + 25 = 3c + 79

- 3c + 25 = 3c + 79

- 3c - 3c + 25 = 3c - 3c + 79

- 6c + 25 = 79

- 6c + 25 - 25 = 79 - 25

- 6c = 54

- 6c/- 6 = 54/- 6

c = 54/- 6

c = - 9

Answer:

-9 = c

Step-by-step explanation:

-4c+25+c=3c+79

-3c +25 =3c+79

25 = 6c +79

-54=6c

-54/6 = c

-9 = c

I don't see how there is a 2nd answer.

Find the length of the missing side of the right triangle.
5 ft.
12 ft.
What’s x

Answers

X=60feet ...... because 12 times 5 is 60 therefore x is 60 feet

Indicate the method you would use to prove the two's 2. If no method applies, enter none.
A. HL
B. LA
C. LL
D. Ha
E. None
HA
None

Answers

Answer:

LA

Step-by-step explanation:

Order the numbers from least to greatest. 7.6, 7 8/21, 7 4/5, 7 2/3, 7.71

Answers

Answer:

7 8/21, 7.6, 7 2/3, 7.71, 7 4/5

Step-by-step explanation:

none

Answer:

0.04, 0.2, 1/2, 3/4, 5, 73

Step-by-step explanation:

i'm not for sure.

Given Domain values of 09,-6,-3,0,1.5 and 3, find the corresponding range for the piecewise function below.

Answers

Answer:

Domain and range » Tips for entering queries. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x)

Step-by-step explanation:

he product of 3 and a number, divided by 9

Answers

Answer:

3x/9

Step-by-step explanation:

Answer:

The answer would be: 3x/9

Step-by-step explanation:

Answers please :) !!

Answers

Answer:

A and D are probably the answers  

Step-by-step explanation:

A and d are the answers

How can you use the distribute property to solve multi step equations

Answers

The order of operations is Pemdas , and the first steps in solving multi step equations is to remove parenthesis (P) and exponents (E) . The distributive property is the method for removing parenthesis.

Select the correct product. ( x2 + 6 x + 9)(3 x - 1) 3 x3 + 17 x2 + 21 x - 9 3 x3 - 17 x2 - 21 x - 9 3 x3 + 19 x2 + 27 x + 9 3 x3 + 19 x2 + 9 x - 9

Answers

Answer:

[tex] \boxed{ \bold{{ \boxed{ \sf{3 {x}^{3} + 17 {x}^{2} + 21x - 9}}}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 6x + 9)(3x - 1)}[/tex]

Use distributive property

⇒[tex]{ \sf{ {x}^{2} (3x - 1) + 6x(3x - 1) + 9(3x - 1)}}[/tex]

⇒[tex] \sf{3 {x}^{3} - {x}^{2} + 18 {x}^{2} - 6x + 27x - 9}[/tex]

Collect like terms

⇒[tex] \sf{3 {x}^{3} + 17 {x}^{2} + 21x - 9}[/tex]

Hope I helped!

Best regards! :D

Answer:

3x^3 + 17x^2 + 21x - 9

Step-by-step explanation:

Use distributive property.

First distribute the 3x

3x times x^2 + 6x + 9. Distribute = 3x^3 + 18x^ 2 + 27x

Now we distribute the -1

-1 times x^2 + 6x + 9. Distribute = -x^2 -6x - 9

We Add both answers-

  3x^3 + 18x^2 + 27x

+               -x^2     -6x - 9

__________________

3x^3 + 17x^2  + 21x - 9

raise b to the 6th power?

Answers

Answer:

b^6

Step-by-step explanation:

not quite understanding the question, but this is b to the 6th power

B^6= (b)(b)(b)(b)(b)(b)

What is the distance rounded to the nearest tenth, between the points (0, 5) and (8, 0)?

Answers

Answer:

Vvvgfffff

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 9.4 \ units}[/tex]

Step-by-step explanation:

Coordinates are (0,5) and (8,0)

[tex]\sf Distance\ Formula = \sqrt{(x2-x1)^2 + (y2-y1)^2} \\\\D = \sqrt{(8-0)^2 + (0-5)^2} \\\\D = \sqrt{8^2 + (-5)^2} \\\\D = \sqrt{64+25} \\\\D = \sqrt{89} \\\\D = 9.4\ units[/tex]

owenn goes on a camping trip with his family cabin rentals are $430 for the week, kayak rentals are $7 per hour and paddle boards are $9 an hour, write an algebric expression to represent how much the family will spend if they stay for one week and plan on renting both kayaks and paddle boards while on their tripoi

Answers

Answer:

430 + 16h

Step-by-step explanation:

They are staying for a week ($430)

They are renting both a kayak ($7 per hour) and paddle board ($9 per hour), without defining the amount of hours. Create a variable, for example H for hours.

To create the expression, take the $430, the $7 per hour and $9 per hour, or 430 + 16h.

(01.02 MC)Which statement best explains the value of 16 − (−3)? HELP ASAP PLS WILL GIVE BRAINLIEST TO THE FIRST ANSWER!!! :)

Answers

Answer:

18

Step-by-step explanation:

Negative and negative will always be positive so that you need to add

Answer:

19

Step-by-step explanation:

You can just do 16+3

find the area of the rectangle

Answers

Answer:

33xx-50x+8

Step-by-step explanation:

multiply 3x-4 by 11x-2

Three of the thirty computers are out of service. What percent of the computers are working?

Answers

Answer:

90% percent of the computers are working.

Step-by-step explanation:

3/30 of the computers don't work and we can simplify this

1/10 or 10% Subtract 10% from 100%

90% are working computers.

Please help fast will give brainliest

Answers

The first one should be the answer

Answer:

[tex]\frac{24}{5}, \frac{63}{4}[/tex], 15.758, 956 [tex]\sqrt{e}[/tex]

i need help with this math problem pls

Answers

Answer:

It should be the third bubble, because all integers are whole numbers

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