Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
Answers
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
Related Questions
15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)
Answers
Answer:
4,3cm
Step-by-step explanation:
Passo 1
Um losango tem 2 diagonais, cujos comprimentos não são iguais
Temos que encontrar o comprimento da segunda diagonal
A fórmula é dada como:
Área de um losango = 1/2 (d1 × d2)
Área do losango = 12 cm²
d1 = Comprimento da primeira diagonal = 8cm
d2 = Comprimento da segunda diagonal = x
12 = 1/2 (8 × x)
12 = 1/2 (8x)
12 = 4x
x = 12/4
x = 3cm
O comprimento da segunda diagonal = 3 cm
Passo 2
A fórmula do comprimento da lateral de um losango é dada como:
s = √d1² + d2² / 2
d1 = 8cm
d2 = 3 cm
s = √8² + 3² / 2
s = √64 + 9/2
s = √73 / 2
s = 8,5440037453 / 2
s = 4,2720018727 cm
Aproximadamente = 4,3 cm
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 lb
Answers
Answer: 1 and a half batches
Step-by-step explanation:
Please help as soon as you can!
Answers
Answer:
C. y= 105(1+0.05)^x
Step-by-step explanation:
y = a(1 + r)t the formula
Sam had a bank account balance of $-\$32$ . He deposited $\$28$ into his account.
Which statement is true about his balance after making the deposit?
Answers
Answer:
After making the deposit, he/she still has a bank account of -4 dollars.
Step-by-step explanation:
Find the value of each variable,
y =
Z=
Answers
y = 119
z = 66
EXPLANATION:
z = 180° - 114° = 66°
y = 360° - (95° + 81° + 66°) = 119°
i need help finding the system of inequalities!
Answers
Answer:
35
Step-by-step explanation:
h
Here is an expression: 3⋅2 Evaluate the expression when is 1. Evaluate the expression when is 4.
Answers
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14
A group of four friends goes to a restaurant. They all order a burger that cost b and fries for $1.39. One friend also gets dessert for $2.49. Their total is $28.01. Write an equation can be used to find the cost of one burger. *
Answers
Last month, Harri drove 850miles in his car. His car's fuel consumption is 45.6 miles per gallon petrol cost £1.09 per litre given that 8 pints=1 gallon work out how much Harri spent on fuel last month
Answers
Using proportions, it is found that Harri spent £76.91 on fuel last month.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations, especially multiplication and division with the rates.
For this problem, we have that Harri drove 850 miles with a rate of 45.6 miles per gallon hence the number of gallons that Harri used is given as follows:
850/45.6 = 18.64 gallons.
Each gallon is equivalent to 3.78541 liters, hence the number of liters that Harri used is given as follows:
18.64 x 3.78541 = 70.56 liters.
The cost per liter was of £1.09, hence the amount that Harri spent during the last month is given as follows:
70.56 x 1.09 = £76.91.
More can be learned about proportions at https://brainly.com/question/24372153
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Can someone please tell me how to expand and simplify 4(x+1)^2?
[ i know now to expand brackets like (x+2)^2, but the 4 confuses me]
Answers
Expand the binomial first, then distribute the 4:
4 (x + 1)² = 4 (x ² + 2x + 1)
… = 4•x ² + 4•2x + 4•1
… = 4x ² + 8x + 4
Liz is watching a film at the cinema.
The film started at 1430
The film is 105 minutes long.
When the film ends, Liz takes 20 minutes to get to the bus stop.
A bus leaves the bus stop at 1645
Does Liz get to the bus stop in time to get this bus?
You must show all your working.
Answers
Answer:
Yes, she does
Step-by-step explanation:
105min=1h 45min
14h 30min + 1h 45min= 16h 15min
16h 15min + 0h 20min=16h 35min
16h 45min - 16h 35min= 10min
So, the answer is yes, she does and she still has 10 minutes free.
Mina tiene \dfrac{4}{5} 5 4 start fraction, 4, divided by, 5, end fraction de la harina necesaria para hacer una hogaza. Se necesita la misma cantidad de harina para hacer 111 hogaza que para hacer 121212 panes. ¿Cuál es el mayor número de panes que Mina puede hacer con la harina que tiene?
Answers
Answer:
El mayor número de panes que Mina puede hacer con la harina que tiene es 9 torrejas de pan.
Step-by-step explanation:
Una hogaza equivale a 12 torrejas de pan, si Mina tiene [tex]\frac{4}{5}[/tex] de la harina necesaria para preparar una hogaza. Entonces, el número total de torrejas es [tex]\frac{4}{5}[/tex] de 12 torrejas de pan. Es decir,
[tex]x = \frac{4}{5}\times 12[/tex]
[tex]x = 9.6[/tex]
Puesto que la cantidad de hogazas en un número entero, se trunca al entero más cercano. En consecuencia, el mayor número de panes que Mina puede hacer con la harina que tiene es 9 torrejas de pan.
7) Are the expressions equivalent? *
*
8k + 5k = 13k
Answers
Answer:
Yes it is equivalent
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
1. combined your like terms (8+5)k
2. add 8+5
3. Answer 13k (bring your K down)
Multiple Choice –64 ÷ 4 = ? A. 15 B. –15 C. 16 D. –16
Answers
Answer:
D
Step-by-step explanation:
- ÷ + = -
AND 64/4 IS 16
SOO -16 IS THE CORRECT ANSWER
In OPQ q=18 o=96 and P=142 find the length of p to the nearest centimeter
Answers
Answer:
1000000
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
Hi! Please let me know if you would like to trade a 5$ microsoft giftcard in exchange for a 10$ sephora one. I am 4.78 short and I would be willing to trade my 10$ sephora gift card for one.
Answers
Answer:
HAHHAHAH XD sorry jkjkjk
Step-by-step explanation:
The volume of the right prism is 360 cm. What is the surface area of the prism, in square centimeters? Record your answer on the grid. Then fill in the bubbles. 9 cm 15 cm
Answers
Answer:
135 cm
Step-by-step explanation:
Find a polynomial function whose graph passes through (7,11), (10,-11), and (0,3)
Answers
Answer:
there right
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.3 x 103
0 3 x 1025
Write the following as an ordinary number. [
(1 Point
3x10
Answers
0.3 x 1025 = 307.5
3 x 10^5 = 300,000
What are the solutions to the system?
y = x2 – 2x – 8
y = x + 2
O A. (5, 7) and (-2,0)
O B. (5:3) and (-2, 4)
O C. (-5, -3) and (2, 4)
o
D. (5,3)and (2, -4)
Answers
Answer:
A
Step-by-step explanation:
I just plugged each variable into the equation. A is the only one that works.
Divide.
(8x^3+ 31x^2+ 6x +40) + (2x+8)
Answers
Answer:
divide them by what?
or fivide it with eachother?
The legs in the right triangle below are 12 units long what is the value of x ?
Answers
Answer:
B
Step-by-step explanation:
Because the legs of the triangle (not the hypotenuse) are equal to each other, x is 45 degrees.
1. What is the ratio of cow to ducks? (2 marks)
Plz help me
Answers
Answer:
i guess 10 i hope this is the right answer
Answer:
Step-by-step explanation:
its 1 : 4
A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the couple had paid $2,250
interest.
What was the length of the couple's loan?
Answers
Answer:
6 years
Step-by-step explanation:
t=2250/375
t=6
Hence time of the loan will be 6 years
Answer:
6 years
Step-by-step explanation:
5000 x 0.075 = 375
2250/375 = 6
therfore it is 6 years worth of interest
What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24
Answers
What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24
The solution to the set is .x = negative 8 and x = 24.
What is Absolute value?The separation of a number from a number line's origin is referred to as a number's absolute value. It is denoted by the symbol |a|, which specifies the size of any integer 'a'. Any integer's absolute value, regardless of its sign or whether it is positive or negative, will be a real number. The modulus of a, which is how two vertical lines |a| are used to symbolise it.
Given:
|4 - x/2| = 8
So, there are two possibilities
4- x/2 = 8 or 4 - x/2 = -8
-x/2 = 8-4 or -x/2 = -8-4
-x/2 = 4 or -x/2 = -12
x= -8 or x= 24
Hence, the solution to the set is .x = negative 8 and x = 24
Learn more about absolute value here:
https://brainly.com/question/1301718
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Barred owls often lay two eggs, and each resulting chick has an equal probability of being male or female. What is the probability that both chicks are male, given that at least one of them is male?
Answers
Perimeter, Circumference, and Area
Acellus
3 ft
Find the outer perimeter of
this figure. Round your
answer to the nearest
hundredth. Use 3.14 to
approximate 7.
4 ft
5 ft
5 ft
P = [?] ft
Answers
surface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftsurface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftsurface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftv
Answer:
19.42
Step-by-step explanation:
1/2 (12n-3)=14-10n
please help solve the value of n and show work!
Answers
Answer:
n = 31/32
Step-by-step explanation:
Hope I was able to help:))
solve equation by completing the square 5n^2-3n-10=15
Answers
what is the value of X enter your answer in the box
Answers
Answer:
Step-by-step explanation:
Set up the following ratio which applies to all angle bisectors and the side opposite.
8 / (x + 4) = 12 / (2x + 1) Cross multiply
8 * (2x + 1) = 12 * (x + 4)
16x + 8 = 12x + 48 Subtract 8 from both sides
16x + 8 -8 = 12x + 48-8
16x = 12x + 40 Subtract 12x from both sides
16x - 12x = 40
4x = 40 Divide by 4
4x/4 = 40/4
x = 10