First make note of the domain of the left hand side.
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.
• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.
• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.
Now solve the equation. Taking the square of both sides of
√(7 + √(2 + √(x + 1))) = 3
yields
7 + √(2 + √(x + 1)) = 3² = 9
√(2 + √(x + 1)) = 2
Squaring both sides again gives
2 + √(x + 1) = 2² = 4
√(x + 1) = 2
And once more,
x + 1 = 2² = 4 ⇒ x = 3
Select all relations that represent function
Answer: All of the them except for the last relation.
Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.
Hope this explanation helps.
For the function F defined by F(x)=x2−2x+4, find F(2b−1).
Answer:
F(2b-1)=4b^2-8b+7
Step-by-step explanation:
F(x)=x^2-2x+4
F(2b-1)=(2b-1)^2-2(2b-1)+4
F(2b-1)=4b^2-8b+7
[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]
Please help me will name brainliest!!!!
Answer:
74/17 = 4.35
Step-by-step explanation:
The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
and that we use in the second equation
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she was working 14 hours on job A and 9 hours on job B.
Answer:
she is rich
Step-by-step explanation:
Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT
Answer:
B. <
Step-by-step explanation:
Each number in the sequence is greater than the previous number so the correct answer is b. <
Write equation of the line containing (-3,4) and (-1,-2)
Answer:
y=-3x+1
Step-by-step explanation:
Answer:
It will be the last one.
Step-by-step explanation:
2.03x13 using standard algorithm
It came 26 by above calculation.
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz. If the quiz has 63 questions, how many questions did Jackson answer correctly
Answer:
49
Step-by-step explanation:
9*7=63
7*7=49
There are 49 questions did Jackson answer correctly.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz.
Total number of questions = 63
Now,
Let number of correct questions = x
So, By the definition of ratio, we can formulate;
⇒ 7 : 9 = x : 63
Solve for x as;
⇒ 7 : 9 = x : 63
⇒ 7 / 9 = x / 63
⇒ 7 × 63 / 9 = x
⇒ x = 7 × 63 / 9
⇒ x = 7 × 7
⇒ x = 49
Thus, There are 49 questions did Jackson answer correctly.
Learn more about the ratio visit:
https://brainly.com/question/2914376
#SPJ2
find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4
Answer:
2
Step-by-step explanation:
n = the smaller even integer
n +2 = the next even integer
The wording of the question translates into:
2n + (n+2) = -4
3n +2 = -4
3n = -6
n = -2
can someone help me do this and show work
Answer:
Bank A: 24 years, Bank B: 28 years
Step-by-step explanation:
Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!
Answer:
r=20°
Step-by-step explanation:
Because the whole angle is 180°, you can make an equation.
105+(4r-5)=180
4r-5=75
4r=80
r=20
Give the other person brainliest ;)
Help please.........
Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts
D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)
Answer:
d
Step-by-step explanation:
ax + b = c solve for x
Need help !!!!!!!!!!!!!!!!!!!
The quotient of triple a number less four and five equals two. What is the number?
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
Help me please!! I don’t understand
Answer:
Step-by-step explanation:
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.
Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.
$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.This year spending's is of 141.7 billion, hence, the equation is:
[tex]0.959x = 141.7[/tex]
[tex]x = \frac{141.7}{0.959}[/tex]
[tex]x = 147.8[/tex]
$147.8 billion was spent on television advertising in the previous year.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15
Answer:
the answer is A. it good answer
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Step-by-step explanation:
the range of a relation or function is the interval or set of valid result values (y values).
in contrast to the domain, which is the interval or set of valid x values.
so, as y values we have here
-3, -2, 0, 2
so, the third answer option is correct.
write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)
Answer:
y=2/3x+3
Step-by-step explanation:
parallel means it stays the same so its still 2/3
now use the equation y=mx+b
plug in the slope which is 2/3
so we get y=2/3x+b
then plug in the 2 points
1= 2/3(−3)+b
1=-6/3+b
1=-2+b
add 2 to 1 and -2
3=b
so we get y=2/3x+3
Find the area of the rhombus
5
9
(
F
−
32
)
The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
A
Step-by-step explanation:
BECAUSE ITS EZ
Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.
Answer:
it is not
Step-by-step explanation:
0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333
plz help me!!!!!!!!!!!!!!!
Answer:
Go up 2, then over negative 6
Step-by-step explanation:
1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
what does the quantity 28-8 represent?