Answer:
5,5
Step-by-step explanation:
Which statement is true about the function f(x)= Vx?
O The domain of the graph is all real numbers.
O The range of the graph is all real numbers.
O The domain of the graph is all real numbers less than or equal to 0.
O The range of the graph is all real numbers greater than or equal to 0.
Answer:
The statement "the range of the graph is all real numbers greater than or equal to 0" is true.
Step-by-step explanation:
As the function is given by
As we know that the domain is the set of all possible input values or all x -values that a function passes through. In other words, domain consists of all the possible input values shown on the x-axis.
Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.
For the given function
The domain of the given function
The domain of can also be written as: {x | x ≥ 0}
It means the domain of the graph of this function is all real number greater than or equal to 0.
The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.
Please check the attached graph as shown in figure a, to visualize the domain and range of
From the graph.
it is visible that the range of the given function
The range of can also be written as: {y | y ≥ 0}
In other words, for every input value in the domain of this function, the range of will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.
So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.
Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?
Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.
For the system, we consider that:
x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.In total, there are 152 books, hence:
[tex]x + y + z = 152[/tex]
The first shelf has 7 fewer books than the second shelf, hence:
[tex]x = y - 7[/tex]
Also, it has 11 more books than the third shelf, hence:
[tex]x = z + 11[/tex]
Then:
[tex]y - 7 = z + 11[/tex]
[tex]z = y - 18[/tex]
Then, replacing in the first equation:
[tex]x + y + z = 152[/tex]
[tex]y - 7 + y + y - 18 = 152[/tex]
[tex]3y = 177[/tex]
[tex]y = \frac{177}{3}[/tex]
[tex]y = 59[/tex]
The number of books in each shelf has to be countable, that is, cannot be decimal.
Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.To learn more about system of equations, you can take a look at https://brainly.com/question/14183076
Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42
The solution of the given equation will be C -x< 30
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.
We have been given the equation as 3-x/2<18.
Now solving for x
3-x/2<18.
Eliminate 3
-x/2 < 18 - 3
-x/2 < 15
Multiply by 2 on both sides;
-x/2 < 15 (2)
-x< 30
Therefore, the solution of the given equation will be C -x< 30
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Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.
please help! its my exam study guide and i need to finish it!
[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]
[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]
What positive acute angle is
Зл/4
related to?
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
2...
What is the answer to this?
Answer:
2x+1=9
Step-by-step explanation:
[tex]\sqrt{2x+1}+5=2[/tex]
[tex]\sqrt{2x+1}=-3[/tex]
[tex]2x+1=9[/tex]
If they want you to solve, then you can go farther.
2x=8
x=4
Check for extraneous solutions:
[tex]\sqrt{2(4)+1} +5 = 2[/tex]
Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?
Answer:
39
Step-by-step explanation:
d = s - 15
d + s = 63
Replace d with s - 15
s - 15 + s = 63
2s -15 = 63
2s = 78
s = 39
-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2
Answer:
I think its D
Step-by-step explanation:
The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)
what is the anser to 9 + 7
[tex] \huge \green{ \boxed{ANSWER}}[/tex]
[tex]9 \: + \: 7 \: = \boxed{16}[/tex]
USE CALCULATOR...
[tex]#CARRYONLEARNING[/tex]
[tex] \mathfrak{JazmineChoi}[/tex]
STAN TREASURE
Find the product of 5 and 539.
Answer:
Step-by-step explanation:
5*539=2695The product of 5 and 539 is 2695
What does it mean to find the product of numbers:Finding the product of numbers simply means multiplying 2 or more numbers.
Therefore, the product of 5 and 539 can be done as follows:
5 × 539Multiplication or product sign is denoted as ×.
Therefore,
5 × 539 = 2695
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A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?
Answer:
Step-by-step explanation:
X/8 = 5
X = 40
Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.
The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.
The resulting average of the eight numbers after adding 1 to the largest number is 5.125.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
Example:
2, 3, 4, 5
The average number of 1, 2, 4, and 5 is 3.
i.e 12 ÷ 4 = 3
We have,
The average of eight different numbers is 5.
Let the sum of 8 different numbers be M.
Average = M / 8
5 = M / 8
M = 8 x 5
M = 40
Now,
If 1 is added to the largest number.
This means,
40 + 1 = 41
The resulting average of the eight numbers:
= 41/8
= 5.125
Thus,
The resulting average of the eight numbers after adding 1 to the largest number is 5.125.
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A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert. Cus
4 drinks, 5 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... w different dinner combo meals.
1
2
3
4
Choose...
12
45
60
75
5
6
7
Answer:
Your Answer Is 60
Step-by-step explanation:
I Took The Test Just Now
The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.
Dinner includes 4 drinks,5 main types of dishes.3 types of desserts.The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,
[tex]n=4\times5\times3\\n=60[/tex]
Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
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can somebody help solve 75 - 6x = 4x - 15
Answer:
x = 9
Step-by-step explanation:
75 - 6x = 4x - 15
We want to arrive at an answer that looks like
x = a number,
so we want x on the left side and numbers on the right side.
Remember that whichever operation we do to one side of the equation, we must do to both sides.
Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.
75 - 75 - 6x = 4x - 15 - 75
Simplify both sides.
-6x = 4x - 90
Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.
-6x - 4x = 4x - 4x - 90
Simplify both sides.
-10x = -90
We want x, but x is being multiplied by -10, so we divide both sides by -10.
[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]
Simplify both sides.
x = 9
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
Select the interval where g(2) < 0.
(graphed on khan academy)
Answer:
the number 0 Originally called finding the vertical asymptote.
Which list of angle measures could be the angle measures of a triangle?
Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.
Answer:
See the calculation below
Step-by-step explanation:
[tex]16 + 13 + 20 = 49[/tex]
[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]
[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]
[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]
Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?
Which value of a makes the equation true?
Answer:
a = -2
Step-by-step explanation:
3(a + 1.5) = -1.5
3a + 4.5 (-4.5) = -1.5 (-4.5)
3a = -6
a = -2
4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?
A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?
Answer:
Step-by-step explanation:
Answer:
(17.5√2 miles west, 17.5√2 miles north)
Step-by-step explanation:
The distance in the west direction will be ...
35cos(45°) = 17.5√2 . . . . miles west
The distance in the north direction will be ...
35sin(45°) = 17.5√2 . . . . miles north
The vector components are ...
(17.5√2 miles west, 17.5√2 miles north)
_____
Additional comment
When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...
(-24.7, 24.7) miles
Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?
Answer:
34 yards of ribbon
Step-by-step explanation:
If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer
HELPPPP ASAPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?
Answer:
18mph
Step-by-step explanation:
We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.
[tex]\frac{88yd}{10sec} times \frac{3ft}{1yd} times\frac{1mi}{5280ft} times\frac{60sec}{1min} times\frac{60}{1hr}[/tex]
When you multiply all that you get 18 mph
PLEASE HELP ME please please
Answer:
if its before bed time I think it is A
Step-by-step explanation:
Helpppp for a math exammm
Answer:
2. angle A is congruent to angle X
Step-by-step explanation:
Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.
It will take 29 years to reach $725 to $2000 compounded twice in a month.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded twice each month is,
A = P(1 +(r/24)/100)²⁴ⁿ.
Given, A = 2000, P = 725, r = 3.5.
∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.
(1 + (3.5/24)/100)²⁴ⁿ = 2.76.
(1.00146)²⁴ⁿ = 2.76.
24n = [tex]log_{1.00146}2.76[/tex].
24n = 695.87.
n = 29 years.
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someone please answer this
The slope is the number in front of the x. And the y-intercept is the number after the x.
A negative y-intercept would be subtracted from the equation.
Answer is B. Y = 7.5x - 2
Answer:
B
Step-by-step explanation:
y = 7.5x - 2
The slope is 7.5
y- intercept is -2
Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.
Answer:
113 each day
Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry