Answers
5√(x+2) = x is greater than or equal to -2
So the domain is greater than or equal to -2
Answer:
The domain of f(x) is all real numbers greater than or equal to -2
Step-by-step explanation:
We have been given that
[tex]f(x)=2(x)^2+5\sqrt{x+2}[/tex]
Domain is the set of x values for which the function is defined.
The given function is the combination of a square and square root function.
Square function is defined for all real values. Whereas, the square root function is defined for only positive values.
Therefore, the function is defined when
[tex]x + 2\geq0[/tex]
Subtract 2 to both sides
[tex]x\geq-2[/tex]
Hence, the domain of f(x) is all real numbers greater than or equal to -2
Related Questions
Consider the following pair of equations:
y = x + 4
y = −2x − 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
y = x + 4
y = -2x - 2
To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4
x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2
now use the value for x to find y by putting into either equation.
y = x + 4
y = (-2) + 4
y = 2
solution is: (-2, 2)
What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.
a) [tex] \sqrt{70} [/tex]
b) 70
c) [tex] \sqrt{19} [/tex]
d) 19
Answers
in triangle ABC
cos (alfa)=H/(14+5)--------> cos (alfa)=H/(19) equation 1
in triangle BDC
cos (alfa)=14/H equation 2
1=2
H/(19)=14/H-------> H²=19*14---------> H²=266------> H=√266
H=16.31 units
cos (alfa)=14/16.31----------> cos (alfa)= 0.8584
alfa=arccos(0.8584)=30.86°
we know
triangle BDC
sin(alfa)=h/H---------> h=sin(alfa)*H
h=sin(30.86)*16.31----------> H=8.37 units---------> √70 units
the answer is the option A) √70
Answer:
The correct option is A) 70
Step-by-step explanation:
HELP PLS with this geometry problem
Answers
Angle A = arccos(5/13) = 67.4 degrees
yes the answer was the same
Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)
Answers
5 kilometers equals 5000 meters.
Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5
[tex]Steps = \frac{5000}{0.5} = 10000[/tex]
Hence, Lana needs to take about 10000 steps.
This graph compares shoe sizes for a group of 80 two-year-old boys and a group of 60 three-year-old boys. Two box and whisker plots showing shoes sizes on a number line from 2.5 to 13.
The upper plot represents the group of 2 year-old boys. For this upper plot, the minimum number is 3, the maximum number is 9.5, the right side of the box is 7.5, the left side of the box is 3.5, and the bar in the box is at 6. The lower plot represents the group of 3 year-old boys.
For this lower plot, the minimum number is 5, the maximum number is 11.5, the right side of the box is 9.5, the left side of the box is 6.5, and the bar in the box is at 8.
About how many more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys?
Answers
For the 2 years olds, if the box in the middle, that means that half of the boys have a shoe size at 6 or under. There were 80 boys chosen for this study, so half of that is 40.
For the 3 year olds, the closest point to 6 is 6.5, and it is located after the line on the left. This means that only 25% of the boys have shoe sizes of 6.5 or under. 25% of the 60 three-year olds they collected data on is 15.
The difference is 40-15= 25.
There are about 25 more two-year olds wearing a size 6 or under.
About 25 more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys.
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.We're specified that:
For two-years-old boys:
Total count = 80Minimum number = 3Maximum number is 9.5, the right side of the box is 7.5 (third quartile), the left side of the box is 3.5 (first quartile), and the bar in the box is at 6 (second quartile or median).For three-years-old boys:
Total count = 60Minimum number = 5Maximum number is 11.5, the right side of the box is 9.5 (third quartile), the left side of the box is 6.5 (first quartile), and the bar in the box is at 8 (second quartile or median).From data of 2-years-old boys, the size 6 is the median. That means, there are approx 50% boys on either of this 6 shoe size.
50% of 80 is 40.
So 40 two-years-old boys have shoe size 6 or less,
and another 40 two-years-old boys have shoe size 6 or more.
From data of 3-years-old boys, the size 6 is less than 6.5 which is first quartile. First quartile has approx 25% observation on its left, and 75% on right.
Left side is smaller or equal (the data is in ascending order, as visible that first quartile < third quartile) to 6.5, and right is bigger or equal to 6.5.
Now, we can take 6.5 approx 6, and therefore, 25% of three-years-old boys have a shoe size of 6 or less,.
25% of 60 is 60/4 = 15
Thus, approx 15 three-years-old boys have a shoe size of 6 or less.
The difference between both counts is: 40-15 = 25
Thus, about 25 more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys.
Learn more about box-plot here:
https://brainly.com/question/1523909
The net of a square pyramid is shown:
What is the surface area of the figure?
A.0.5625 square inch
B.0.7625 square inch
C.1.5625 square inches
D.1.7625 square inches
Answers
Thus d: is your Answer
Solve for x: -2.3(x - 1.2) = -9.66
Answers
Answer:
x = 5.4Step-by-step explanation:
[tex]-2.3(x-1.2)=-9.66[/tex] use the distributive property a(b + c) = ab + ac
[tex]-2.3x+2.76=-9.66[/tex] subtract 2.76 from both sides
[tex]-2.3x=-12.42[/tex] divide both sides by (-2.3)
[tex]x=5.4[/tex]
The sum of 19.3 and a number is 30.4. which eqation can be used to sole the problem?
Answers
19.3 + n = 30.4
Answer:
19.3+n+30.4 (B on edg)
Step-by-step explanation:
PLEASE HELP ASAP!
You have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop. The painting is 65in high by 105in wide. You are asked to use a 1in = 5in scale. What will the dimensions of your poster be? (2 points)
Answers
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5
then
for high = 65 in the painting
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in
for wide = 105 in the painting
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in
the answer is
The dimensions of the poster will be 15 in x 21 in
14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.
Answers
Which is the best estimate for the product of 123.519 × 311,982.21?
A.
372,000,000
B.
37,200,000
C.
3,720,000
D.
372,000
Answers
The sum of those numbers has 8 digits, the only answer with 8 digits--
Which statement describes the transformation of the graph of function f onto the graph of function g?
Answers
x ⇒ x+5, the graph is shifted 5 units left
f(x) ⇒ f(x) +3, the graph is shifted 3 units up
The 4th selection is appropriate.
PLEASE HELP ME ON THIS
BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY!!!
Answers
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
It would not be choice 2 or 3 because it is taking the percent of the previous number and multiplying it by 1.05. Hence, it could not be an arithmetic sequence.
It would not be the fourth choice because that is saying there is a 50% increase every successive year.
The following tables each show the amount of money, in dollars, in four different bank accounts over time.
Which table best represents an exponential relationship?
Answers
it seems that the first one is the answer.
1210/1100=1.1
1331/1210=1.1
Answer with explanation:
The general exponential relationship is
→[tex]y=a*b^x {\text{or}}, x=a*b^y[/tex]
The four tables which is given here, all of them represents exponential relationship because with increase in value of y ,x value increases or vice versa.
The exponential function can be either strictly increasing or strictly decreasing.
Table 1
[tex]\frac{1210}{1100}=\frac{1331}{1210}=\frac{1464.10}{1331}=\frac{1610.51}{1464.10}=1.1[/tex]
In Table 2, Table 3,and table 4, the rate of increase is not constant, it varies that is for different two consecutive y, values their ratio is not constant.
Table 1, best represents the exponential relationship, represented as
[tex]y=1100*(1.1)^x[/tex]
Where, x=1,2,3,4,5
The function f(t)=-5t^2+15t+50 models the approximate height in feet of an object t seconds after it is launched. how many seconds does it take for the object to hit the ground?
Answers
.. f(t) = -5(t -5)(t +2) . . . . f(t) = 0 for t=-2, t=5
The object hits the ground after 5 seconds.
Which choice is the conjugate of the expression below when x -5?
4 - x+5
A. 4 + x - 5
B. 4 - x - 5
C. 4 - x + 5
D. 4 + x + 5
Answers
The option which is the conjugate of the expression 4 - (x + 5) will be D. 4 + (x + 5).
What is a conjugate?It should be noted that conjugate simply means changing the sign that is between two terms in a binomial.
In this case, the given expression is 4 - (x + 5). Therefore, one simply has to change the subtraction sign. This means one has to has to change the subtraction sign to addition. This will be 4 + (x + 5).
In conclusion, the correct option is 4 + (x + 5).
Learn more about conjugate on:
https://brainly.com/question/844178
The conjugate of the expression 4 - (x + 5) is formed by changing the minus sign to a plus sign, resulting in the expression 4 + x + 5, which corresponds to option D.
Explanation:The conjugate of a binomial expression like 4 - (x + 5) is obtained by changing the sign between the two terms. Hence, the conjugate of this expression would change the subtracted term (-x - 5) to its additive inverse, which is (+x + 5). Therefore, the correct choice is 4 + x + 5, which is option D.
i dont understand please helpp asap
Which is the equation for AD?
Answers
because if you simplify it to write it in the form y=mx +b, you'll get y = x + 6.
So the slope is 1 and y-intercept is 6.
What does (r−c)(5) mean about George's new store?
Answers
Answer is C
1. Your total restaurant bill is _____. (1 point)
Captionless Image
*
the items purchased minus sales tax, and plus tip.
the items purchased plus sales tax and tip.
the items purchased minus sales tax, and plus tip.
2. A check is _____. (1 point)
Captionless Image
*
required to be paid by your bank when presented
a promissory note (I.O.U.)
not able to be forged
3. There are several different ways to pay for items. In most modern economies, which is not a way to pay? (1 point)
Captionless Image
*
credit cards
bartering
cash
Answers
First question:
Your total restaurant bill is the items you have purchased plus the sales tax and plus the tip (if there’s any). Sales tax is added to your purchase because this is tax imposed to the consumer and not to the buyer. The buyer is only required to collect this tax from the buyer.
Second question:
A check is a financial instrument wherein the bank is required to pay when presented or encashed to them. You just have to make sure that you have account balance to that certain bank.
Third question:
The way of payment not any more common in the most modern economies is the bartering. Both credit cards and cash are the most common way of paying for your purchases.
Answer:
1. the items purchased plus sales tax and tip.
2. a promissory note (I.O.U.)
3. bartering
Aubrey says that the product 10x10x10x10 and 10x-10x-10
Answers
Answer:
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
Yes, she is correct.
No, the exponent should be positive 8.
No, she multiplied the exponents instead of adding them.
No, she multiplied the exponents instead of subtracting them.
Step-by-step explanation:
C. No, she multiplied the exponents instead of adding them.
Suppose that 24% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
Answers
To find the probability that both people randomly picked own a dog, we multiply the probability of one person owning a dog (24%) by itself, resulting in a 5.76% chance that both own a dog.
The question is asking us to calculate the probability that two randomly selected people both own a dog, given that 24% of people own dogs. Since the events (each person owning a dog) are independent, the probability of both events happening is the product of their individual probabilities.
Let's denote the probability of one person owning a dog as P(dog) = 0.24. Then, for two independent people, the probability that both own a dog is [tex]P(dog) \times\ P(dog) = 0.24 \times\ 0.24 = 0.0576.[/tex]
So, the probability that both people picked at random own a dog is 5.76%.
Anyone have a proper answer for this?
Answers
A reflection of the pink triangle is shown. Which transformation makes this reflection?
A) (x', y') = (y, x)
B) (x', y') = (x, -y)
C) (x', y') = (-x, y)
D) (x', y') = (-x, -y)
Answers
Explanation:
(x', y') = (x, -y) is correct. The y-values change signs, but the x-values remain the same.
Answer:
(x, y) → (-x, y).
Step-by-step explanation:
(x, y) → (-x, y). is correct. For example, the point (-3, 5) on triangle 1 goes to (3, 5) on triangle 2.
Is 40% bigger than 2/5
Answers
2/5 = 0.4 = 40%
So 40% and 2/5 are equal.
Hope this helps :)
2/5 can be rewritten as 0.4.
As you can see, they are equal, so NO, 40% is not bigger than 2/5.
Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________.
Answers
Answer: Angle (B) is Congruent to Angle (C)
Hope it helps
Answer:
We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that
✔ AB = AC
.
Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the
✔ triangle parts relationship theorem
.
However, this contradicts the given information that
✔ side AB is congruent to side AC
. Therefore,
✔ angle B is congruent to angle C
, which is what we wished to prove.
Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.
Step-by-step explanation:
edge 2020
The nth term of the sequence
-2, 1, 4, 7, 10,...
is given by the formula
A) an = n - 3
B) an = 3n - 3
C) an = n - 5
D) an = 3n - 5
Answers
The formula to find [tex]d[/tex] is [tex]d=a_{n}-a_{n-a}[/tex]
where
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
The formula to find [tex]r[/tex] is [tex]r= \frac{a _{n} }{a _{n-1} } [/tex]
where
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
- For [tex]a_{n}=10[/tex] and [tex]a_{n-1}=7[/tex]
[tex]d=10-3[/tex]
[tex]d=3[/tex]
[tex]r= \frac{10}{7} [/tex]
- For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=1[/tex]:
[tex]d=4-1[/tex]
[tex]d=3[/tex]
[tex]r= \frac{4}{1} [/tex]
[tex]r=4[/tex]
Since [tex]d[/tex] is equal in both procedures whereas [tex]r[/tex] is not, we can conclude that our sequence is an arithmetic sequence.
Now we are going to use the explicit formula of an arithmetic sequence [tex]a_{n}=a_{1}+(n-1)d[/tex]
where
[tex]a_{n}[/tex] is the nth term
[tex]a_{1}[/tex] is the first term
[tex]n[/tex] is the position of the term in the sequence
[tex]d[/tex] is the difference
We know that [tex]a_{1}=-2[/tex] and [tex]d=3[/tex], so lets replace those values in our formula:
[tex]a_{n}=-2+(n-1)(3)[/tex]
[tex]a_{n}=-2+3n-3[/tex]
[tex]a_{n}=3n-5[/tex]
We can conclude that the correct answer is D) an = 3n - 5
Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.Ответ вырази в дм 2
Answers
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of the cardboard residue. Answer the question in dm2
Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm
Step 2
find the area of the cardboard
Area=3.5*2=7 dm²
Step 3
find the area of the cardboard residue
Area=7-4*1=3 dm²
the answer is 3 dm²
the answer in Russian
Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм
Шаг 2
найти область картона
Площадь=3.5*2=7 дм²
Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²
ответ 3 дм²
1 дм2=100 см2
Если она вырезала 4 квадрата по 100 см2, то осталось 700-(100*4)=700-400=300 см2
300 см2=3 дм2
Думаю,что так.
Answer this please and thank you
If DE=4x-1, EF=9, and DF=9x-22, find the value of x.
Answers
Question
If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.Answer
x = 6
So I've got a math problem I don't understand: simplify (3^ - 2 + 5^ - 2) ^ -1 I got 34 but apparently the answer's 225/34, shouldn't i just multiply -2 and -5 by 1 making it 3^2 + 5^2 which is 34 Pliz help, cramming for a test tmw
Answers
.. (3⁻² +5⁻²)⁻¹ = 1/(1/9 +1/25) = 1/(34/225) = 225/34
Hey !!
Check the attachment.
Hope it helps you :)
P.s. In your question the negative no. is in exponentials or in power ,
a^m = a*a*a*a...(m times)
But if m is negative then solve like -
a^-m = 1/a^m
find the slope of the line that passes through the points (2,1) and (-1,-1).
Answers
Answer:
all work is shown and pictured