If f(x) = x – 5 and g(x) = 2x^2 + 7x – 13, find [g ºf](x).

Answers

Answer 1

Answer:

               [tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]

Step-by-step explanation:

[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]


Related Questions

73) Find the surface area. Don't forget your
label.
8 cm
10 cm
18 cm
8 cm

Answers

Answer:

512cm²

Step-by-step explanation:

1/2bh*2 = 1/2(4)(10)(2)=40

Each triangle is 40

18*8=144

Each rectangle is 144

144+144+144+40+40=512cm²

Trisha wants to be a nurse practitioner or doctor for her future career. Which CTSO would be best for Trisha to join?

A. TSA
B. DECA
C. HOSA
D. FEA​

Answers

Answer:

C. Since she wants to be a nurse she'd go into the health and technology field.

Step-by-step explanation:

TSA  - Technology Student Association or Transportation Security Administration

DECA  - Defense Commissary Agency

HOSA  - Health Occupations Students of America

FEA​ - ?

Answer:

C. HOSA

Step-by-step explanation:

Find the product. √3(5+√2) A)5√3+√5 B)5√3+√6 C)5√9 D)√15+√6

Answers

Answer:

B. [tex] 5 \sqrt{3} + \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \huge\sqrt{3} (5 + \sqrt{2} ) = 5 \sqrt{3} + \sqrt{6} [/tex]

what equation for 10-3x2+(7-4)

Answers

Answer:

13-6x

Step-by-step explanation:

10 - 3x ×2+(7-4)

10 - 6x+(7-4)

10-6x+3

=13-6x

7.
I then took medicine prescribed by my doctor to help with my
fever. My fever went down 1.2 degrees every 4 hours. What is
my temperature after 12 hours?

Answers

Answer:

The answer would be 3.6 degrees less than the starting temperature.

Step-by-step explanation:

1.2 * 3 = 3.6

4*3 = 12

3.6/12 hours

Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.

Answers

Answer:

[ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain = { -1,0,1,2,3 }; Range = { 0,1,2,3 }

Step-by-step explanation:

Set or collection of ordered pairs is called 'Relation'. The ordered pairs are in terms f x & y coordinate.

Eg : [ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain is a set of all x axis values. Range is a set of all y axis values. They are arranged non repetitively in ascending order.

Domain = { -1,0,1,2,3 }

Range = { 0,1,2,3 }

As mentioned : the relation has been designed, as such to have five elements in its domain and four elements in its range

Solve the equation. 1/4 + w = 6 1/3

Answers

Answer:

6.08333....

Step-by-step explanation:

.25 +w = 19/3

19/3=6.3333

6.3333-.25=6.08333....

Check:

.25+6.08333....=6.3333...

3(x+14)=42 plz need help now

Answers

Answer:

0

Step-by-step explanation:

So we have the equation:

[tex]3(x+14)=42[/tex]

Divide both sides by 3:

[tex]x+14=14[/tex]

Subtract 14:

[tex]x=0[/tex]

The value of x is 0

Answer: x=0

Step-by-step explanation:

Given

3(x+14)=42

Distributive property

3x+42=42

Subtract 42 from both sides

3x=0

Divide 3 on both sides

x=0

----------------------------------------------------

Given

3(x+14)=42

Divide 3 on both sides

x+14=14

Subtract 14 on both sides

x=0

Both ways are fine

Hope this helps!! :)

45% of the pizzas in the freezer in the store are cheese pizzas. There are 120 pizzas in the
freezer. How many of them are cheese pizzas? ​

Answers

Answer:

54 cheese pizzas

Step-by-step explanation:

We know that there are 120 pizzas in the freezer, and 45% of them are cheese pizzas.

We want to find out how many cheese pizzas are in the freezer, so we should multiply 45% and 120.

45% * 120

Convert 45 % to a decimal. Divide 45 by 100 or move the decimal place 2 spots to the left.

45/100= 0.45      or       45.0 --> 4.5 ---> 0.45

0.45 * 120

Multiply 0.45 and 120

54

54 cheese pizzas are in the freezer.

evaluate the expression

Answers

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

------------------------------------------------------------------------------------------------------------

20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

10+75                                             [solve add or subtract]

85

Answer:

85

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

[tex]20 \div (5-3) +5^2(3)[/tex]

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

[tex]20 \div (2) +5^2(3)[/tex]

Next, evaluate the exponent.

5² = 5*5= 25

[tex]20 \div 2+25(3)[/tex]

Next, multiply 25 and 3.

25 *3 =75

[tex]20 \div 2+75[/tex]

Then, divide 20 by 2.

20/2=10

[tex]10+75[/tex]

Finally, add 10 and 75.

[tex]85[/tex]

The expression [tex]20 \div (5-3) +5^2(3)[/tex] evaluated is 85.

what is the answer to

-9 +(-2)

Answers

Answer:

-11

Step-by-step explanation:

Substarct 2 from -9.

Answer:

-11

Step-by-step explanation:

lets think about it this way, you owe 9, you also owe 2, so altogether you owe 11, which is -11

what is half the sum of x and y decreased by one-third y as a algebraic expression

Answers

Answer:

1/2(x+y) - 1/3

Step-by-step explanation:

I think this may be the answer based on the info you've given

Answer:

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

Step-by-step explanation:

We can translate these words into an expression by just reading them and interpreting them.

Half the sum of x and y.

We know that it's going to include [tex](x+y)[/tex], and if we're taking half of that, we multiply that by [tex]\frac{1}{2}[/tex], so [tex]\frac{1}{2}(x+y)[/tex]

We also know that one third of y will be multiplying y by [tex]\frac{1}{3}[/tex], so [tex]\frac{1}{3}y[/tex].

Since we are decreasing [tex]\frac{1}{2}(x+y)[/tex] by  [tex]\frac{1}{3}y[/tex], there's a minus sign between the terms.

So, [tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex].

Hope this helped!

Which of the following is an irrational number? (1 point)
OO
O 0.100100010000...
14
O
O 1,483,292​

Answers

Answer:

0.100100010000...

Step-by-step explanation:

becoz in irrational numbers decimal goes on forever

si la economía produce actualmente dos unidades de armas y cuatro unidades de mantequilla cuál es el costo de oportunidad de aumentar la producción de mantequilla de 4 unidades 11 unidades

Answers

Answer:

0.36 %

Step-by-step explanation:

seria el 36 por ciento de aumento por que las dos cantidades divididas te daría a cero punto treinta y seis porciento más de las dos cantidades



Yoooo help

A ball is thrown starting at a time of O and a height of 2 meters. The height of the ball follows the function
H(t)= -4.9t^2 +25t +2. What is the height of the ball at each second from 0 to 5?

Answers

Answer:

0 - 1 - 2 - 3 - 4 - 5

2 - 22.1 - 32.4 - 32.9 - 23.6 - 4.5

Step-by-step explanation:

The function is:

H(t) = -4.9t^2 +25t +2

Calculating the value of H for each value of t from 0 to 5

H(0) = 2H(1) = -4.9*1^2 + 25*1 + 2 = 22.1H(2) = - 4.9*2^2 + 25*2 + 2 = 32.4H(3) = -4.9*3^2 + 25*3 + 2 = 32.9h(4) = -4.9*4^2 + 25*4 + 2 = 23.6H(5) = - 4.9*5^2 + 25*5 + 2 = 4.5

Correct answer choice is the 3rd one or C

Stronomers estimate the internal temperature of the sun is 15,000,000  K. What is 15,000,000 written in scientific notation? 1.5 x 10^8 1.5 x 10^8 1.5 x 1^7 1.5 x 1^7 1.5 x 1^6 1.5 x 1^6 1.5 x 1^ 5

Answers

Answer:

Scientific notation for 15,000,000

[tex] = 1.5 \times {10}^{7} [/tex]

Which function is not defined at 0? Please help urgent

Answers

Answer:

b and g

Step-by-step explanation:

a. is y = 0³ = 0

b. is y = ln(0), which is undefined because ln(x) is only defined for x > 0

c. is y = 1 / (1 + e^-0) = 1 / (1 + 1) = 1/2

d. is y = 0

e. is y = 0² = 0

f. is y = sin(0) = 0

g. is y = 1/0, which is undefined because division by 0 is undefined

h. is y = e^0 = 1

i. is y = |0| = 0

j. is y = √0 = 0

If you had 6 million dollar and you divided that by 1 billion what would you get. Then once you find that multiply your answer by 10. What do you get.

Answers

Answer: You get 0.06 which is 6 cents in terms of money.

Step-by-step explanation:

6 millions could be written as 6,000,000 and 1  billion could also be written as  1,000,000,000   so using this set up a fraction to divide it.

[tex]\frac{6000000}{1,000,000,000}[/tex] = 0.006  

0.006 * 10 = 0.06  

Simply this expression: -2+3-(5-6x)

Answers

Answer:

6x-4

Step-by-step explanation:

Answer:

-4-6x

Step-by-step explanation:

you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x

How much will it take to do a work of 190J with 15w power

Answers

Answer:

[tex]\Huge \boxed{\mathrm{12.67 \ s}}[/tex]

Step-by-step explanation:

[tex]\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}[/tex]

[tex]\displaystyle P= \frac{W}{t}[/tex]

[tex]\displaystyle 15= \frac{190}{t}[/tex]

Solve for t.

Multiply both sides by t.

[tex]15t =190[/tex]

Divide both sides by 15.

[tex]\displaystyle t= \frac{190}{15}[/tex]

[tex]t \approx 12.67[/tex]

[tex] \bf \underline{ \underline{given : }}[/tex]

Work = 190 J

Power = 15 W

[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the time ?

[tex]\bf \underline{ \underline{

Formula \: applied :}}[/tex]

[tex] \boxed{ \bf{Power = \frac{Work \: done}{Time} }}[/tex]

[tex]\bf \underline{ \underline{Solution : }}[/tex]

We know,

[tex]\sf {Power = \dfrac{Work \: done}{Time}}[/tex]

[tex] \sf{ Time = \dfrac{Work \: done}{Power } }[/tex]

Substituting the values of work and power, we get:

[tex] \sf \implies{Time = \dfrac{190}{15} }[/tex]

[tex] \sf\implies{Time = 12.66 \: s}[/tex]

Thus,the time taken by a body is 12.66 seconds.

10. While at the beach, Daniel buys lunch for
his family from a food stand. He purchases
one hot dog for $2.50 and 3 hamburgers. If he
spent $ 13 total, write and solve an equation to
find h, the amount each hamburger cost.

Answers

Answer: Each hamburger cost $3.50

Step-by-step explanation:

He spent $13 in total and bought one hot dog for $2.50  and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equation,

2.50 + 3h = 13   Now solve for x

-2.50            2.50

  3h = 10.50

 h = 3.50  

Check:

2.50 + 3(3.50) = 13

2.50 + 10.50 = 13

13=  13

Each hamburger cost 3.50! Hope this helps

Property can be used to remove the parentheses in the expression 1.7(x+9)

Answers

Answer:

The Distributive Property.

Step-by-step explanation:

1.7(x + 9)

= 1.7 * x + 1.7 * 9

= 1.7x + 15.3.

i need help A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer:

first of all i need to know the fractions and answer choices to answer this question.

QS bisects PQR. If PQS = 5x and RQS = 2x + 6, then what is PQR?
m PQR is____
HELP PLEASE

Answers

Answer:

20°

Step-by-step explanation:

i just did it. got it correct

find the sum of -3/2 - 7/4 + 1/8

Answers

Answer: -25/8

Step-by-step explanation:

Answer:

The sum of -3/2-7/4+1.8 = -3.125

3/2x+1 = 13
find x.
What is x?

Answers

x=1/8 is the answer

you subtract 1 on both sides and u get 3/2x=12 and when you dive 3/2 on both sides you get 1/8

Answer:

8

Step-by-step explanation:

Please write this as (3/2)x + 1 = 13.

Start the process of solving for x by subtracting 1 from both sides:

(3/2)x = 12

Eliminate the fractional coefficient by multiplying both sides by 2/3:

(2/3)(3/2)x = (2/3)(12), or

x = 8

what is the change in each termof the sequence? 5, -2, -9, -16, -23​

Answers

Answer:

-7

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 5 = -7

Check by subtracting the second term from the third term

-9 - (-2) = -9+2 = -7

The common difference is -7

I'm really confused about this. Can I get some help?

Answers

I think the answer should be c don’t drag me if I’m wrong I think thts the answer

If the marked price of an article is Rs. x, discount amount is
Rs. y and the VAT amount is Rs. 2, Calculate the selling
price of the article including VAT.

Answers

Answer:

Rs. (x - y + 2)

Step-by-step explanation:

The marked price is the price that a product is to be sold. The product can be sold at a discount which is below the marked price of the product.

The marked price of the article is Rs. X. The discount is Rs. y, therefore the article price = marked price - discount = x - y.

But since the article is sold with a VAT of Rs. 2, the VAT is added to the price, therefore the selling price of the article including VAT is Rs. (x - y + 2)

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Problem Solving
D A farmer watered 10/82 of a field. What decimal is
equivalent to the fraction of the field the farmer
watered?
type here

Answers

Answer:

0.1219512195122

Step-by-step explanation:

To write 10/82 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 10 by 82 what we write down as 10/82 and we get 0.1219512195122

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