Answer:
Range: {-5, 19, 31}
Step-by-step explanation:
Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.
In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.
x = -3f(x) = 2x + 1
f(-3) = 2(-3) + 1
f(-3) = -6 + 1
f(-3) = -5
x = 9f(9) = 2x + 1
f(9) = 2(9) + 1
f(9) = 18 + 1
f(9) = 19
x = 15f(15) = 2x + 1
f(15) = 2(15) + 1
f(15) = 30 + 1
f(15) = 31
Therfore, the range of the function is: {-5, 19, 31}.
What is the weight of a dry substance in 150 g of a 3% substance solution?
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
Please check the mcq in the following picture and thank you
Answer 2nd one
Step-by-step explanation:
Look at attached photo. Will give brainiest to correct answer. Trigonometry.
Answer:
Step-by-step explanation:
7 inches 6 inches and 6 inches make a triangle?
Answer:
^
Step-by-step explanation:
The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.
What is the y-intercept of the function /(x) = -2/9x + 1/3
Answer:
Step-by-step explanation:
f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
Gretchen bought her 3 daughters a 27-page sticker book. She split the pages equally among the girls. If each page had 24 stickers, how many sticker did each girl get?
Answer: the daughters got 216 stickers each
Step-by-step explanation:
27 times 24 is 648
648 devided by 3 is 216
so therefore your answer would be 216
hope this helps
720 is what percent of $800?
the answer is 90 hope this help.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Left 3 down 4
Step-by-step explanation:
I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.
THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.
Answer:
1
Step-by-step explanation:
how do you simplify 18x⁶/27x⁴
Answer:
2x^2/3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Factor the polynomial expression x4 + x2 - 20 drag each expressions to the correct location on the factored solution
Answer:
Step-by-step explanation:
x⁴ + x² - 20
(x² + 5)(x² - 4)
(x² + 5)(x - 2)(x + 2)
The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
Given that,
To determine the factor of the expression, x⁴ + x² - 20.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)
Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
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In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fraction in simplest form
Answer:
There's not enough information to answer the question.
Step-by-step explanation:
The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.
Find the average rate of change of k(x) = x' over the interval [3, 9].
Answer:
y=6x×2/4
x=7
thanks for the points
3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5
Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!
--PLEASE show all work
The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25
Answer:
State A loses a seat to State B when the total is increased
Step-by-step explanation:
The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.
The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).
If the whole number is 1 or greater, the number of seats allocated at least that whole number.
If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.
__
The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.
When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.
_____
Additional comment
Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.
Please someone help
Answer:
E=10.353
Step-by-step explanation:
First plug in all the numbers: 1.960(31.25/[tex]\sqrt{35}[/tex])
solve: E=10.353
pls help
i will appreciate it if you could help
Answer:
I think it is 20 percent
Step-by-step explanation:
Sorry if this is wrong
Is (2, 1) a solution to the equation y = 2x - 1?
Answer:
No
Step-by-step explanation:
Substitute the values for their respective variable and evaluate.
[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]
Therefore, (2, 1) is not a solution to the equation y = 2x - 1.
(2, 1) is in the form of (x, y).
Then,
☆ x = 2
☆ y = 1
Equation =》y = 2x - 1
Now, substitute the values.....
=》y = 2x - 1
=》(1) = 2(2) - 1
=》1 = 4 - 1
=》 1 ≠ 3
So, (2, 1) is NOT a solution to the equation y = 2x - 1.
______
Hope it helps ⚜
please help me i really need it and NOOOO BOTS
Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)
Answer:
10
Step-by-step explanation:
The value of P(x<6) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.
So, P(x<6)
= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)
= 1/10 + 1/10+ 1/10 + 1/10 + 1/10
= 5/10
= 1/2
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PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4
= 4a^2b^4 + 12ab^2c^2 + 9c^4
Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.
-17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
Infinite.
Step-by-step explanation:
[tex]-17+2(1+3x)=x-5(3-x)[/tex]
Expand:
[tex]-17+2+6x=x-15+5x[/tex]
[tex]6x+15=6x+15[/tex]
[tex]6x=6x[/tex]
[tex]0=0[/tex]
Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.
Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )
Answer:
A. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
sin 30°
Step 2: Solve
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
Solve for x and y !!!!!!!!!!!
Answer:
x=12; y=138.
Step-by-step explanation:
1. 4x+(3x+6)=90 - to calculate 'x';
3x+6+y=180 - then to calculate 'y';
2. 7x+6=90; ⇒ x=12;
3. 3*12+6+y=180; ⇒ y=138°.
GIVING BRAINEST IF RIGHT!!
Factor x^4 - 12x squared + 36
Answer:
(x^2-6)^2
Step-by-step explanation:
Answer:
(x2-6)^2
Step-by-step explanation:
I think that's the answer not sure
A large Internet provider conducted a survey of its customers. One question that it asked was how many e-mail messages the respondent had received the previous day. The mean number was 13.2. A. What is the research question of interest for this survey
Answer:
Glee
Step-by-step explanation:
How to solve 4/3x + 7 = 25
Answer:
the answer is 2/27 or 0.074
7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.
Answer:
The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.
using the rectangle below calculate the values of x and y
Answer:
x=4, y=9/7
Step-by-step explanation:
We will use the property that the opposite sides of a rectangle are equal
3(3y-1)=2(y+3)
9y-3=2y+6
7y=9
y=9/7
2x=4(x-2)
2x=4x-8
2x=8
x=4