What is the product? (x 3)(2 x minus 1) 2 x squared minus 3 2 x squared 6 x 2 x squared 5 x minus 3 2 x squared 6 x minus 3.
The product of the function is 2x^2+ 5x - 3
We are to find the product of the functions x + 3 and 2x -1
let f(x) = x+ 3g(x) = 2x - 1Taking the product:
f(x)g(x) = (x+3)(2x -1)
f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)
f(x)g(x) = 2x^2 - x + 6x - 3
f(x)g(x) = 2x^2+ 5x - 3
Hence the product of the function is 2x^2+ 5x - 3
Learn more on product of functions here: https://brainly.com/question/25638609
Answer:
c
Step-by-step explanation:
The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?
Answer:
Not too sure, but maybe this is what you need.
(Students = S, Adults = A) So, Ax + Sy = 266?
Or
x10 + y7 = $266
Step-by-step explanation:
I think the second one is the most accurate one, ignore the first equation. T^T
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
Convert 6432 Decimal to Binary Number system ?
• Kindly don't spam !!
Answer:
6432)10 = (1100100100000)2
Step-by-step explanation:
Step 1: Divide (6432)10 successively by 2 until the quotient is 0:
6432/2 = 3216, remainder is 0
3216/2 = 1608, remainder is 0
1608/2 = 804, remainder is 0
804/2 = 402, remainder is 0
402/2 = 201, remainder is 0
201/2 = 100, remainder is 1
100/2 = 50, remainder is 0
50/2 = 25, remainder is 0
25/2 = 12, remainder is 1
12/2 = 6, remainder is 0
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).
Hopes that it will help u...☺
[tex]\huge \bf༆ Answer ༄[/tex]
The method to convert the number from Decimal to binary number system is simple ~
Divide the number continuously until it become 0 and write all the remainders from bottom to top.Now let's solve the given question ~
[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex][tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex][tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex][tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex][tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex][tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex][tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex][tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex][tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex] [tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex][tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex][tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex][tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]Now, write the numbers from bottom to top ~
[tex] \sf{1100100100000}[/tex]
I hope it helps ~
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
Here it is, I hope it shows up clearer
round 0.006772 to 1 significant figure
Answer:
[tex]0.007[/tex]
Step-by-step explanation:
Round to the required significant figure:
[tex]0.007[/tex]
PLEASE HELP QUESTION IN PICTURE
Answer:
y= 1/3x + 3
Step-by-step explanation:
Which is greater?
48 fl oz
10 3/4 c
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w
Answer:
w= 25
Step-by-step explanation:
Cost of water= (w -1)¢
Cost of milk= (2w -11)¢
Let the certain number be x.
x(w -1)¢= 480¢ -----(1)
x(2w -11)¢= 780¢ -----(2)
From (1):
wx -x= 480 -----(3)
From (2):
2wx -11x= 780 -----(4)
(3) ×2:
2wx -2x= 960 -----(5)
(5) -(4):
(2wx -2x) -(2wx -11x)= 960 -780
Expand:
2wx -2x -2wx +11x= 180
9x= 180
Divide both sides by 9:
x= 180 ÷9
x= 20
Substitute x= 20 into (3):
w(20) -20= 480
20w -20= 480
20w= 480 +20
20w= 500
w= 500 ÷20
w= 25
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
b. Graph the inequalities and show the solution set.
c. Identify a point that represents a combination of haircuts and and hair-coloring jobs that meets the stylist's requirements.
#a
[tex]\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150[/tex]
[tex]\\ \sf{:}\Rrightarrow x+y\geqslant 10[/tex]
And
[tex]\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8[/tex]
#2
Attached
#3
(8,2)if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]
[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]
Answer:
x
Step-by-step explanation:
Refer to '<' as ' less than or equal to '
Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )
with that in mind
* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3
so to equate both sides, let's multiply each by the denominator they are lacking.
* 2x - 3/5 lacks 3 compared to -x/3.
* similarly, -x/3 lacks 5 compared to 2x - 3/5
multiply both by what they lack (2)
thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2
* 6x - 9/ 15 - 5x/15 < 2
we can now combine the numerators since we now have a common denominator which is 15.
* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.
criss cross
* x - 9 < 30
* x < 39
a water truck is filling a swimming pool
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
A 9-foot roll of waxed paper costs $4.32. What is the price per inch?
The price per foot is $0.91
Step-by-step explanation:
A 6-yard roll of butcher paper costs 16.38
1 yard = 3 foot
6 yards = 3 times 6 = 18 foot
the cost of 18 foot is $16.38
To find price per foot, we divide the cost of 6 yards by 18
16.38÷ 18 = 0.91
The price per foot is $0.91
Answer two questions
Answer:
3) a = 9
4) v = 16
Step-by-step explanation:
Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.
Problem 3
First, let's distribute the 5 onto both terms in the parentheses.
5(a - 3) = 30
5(a) - 5(3) = 30
5a - 15 = 30
Next, we can add 15 to both sides to isolate a.
5a - 15 = 30
5a = 45
Finally, divide both sides by 5 to find the value of a.
5a = 45
a = 9
Problem 4
First, let's remove 2 from both sides of the equation.
v/2 + 2 = 10
v/2 = 8
Then, we can multiply both sides by 2 to find the value of v.
v/2 = 8
v = 16
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]
[tex]\huge\text{NUMBER 2}[/tex]
[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.
A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]
The graph is given as:
[tex]y = \sqrt[3]{x}[/tex]
Rewrite the function as:
[tex]y = x^\frac{1}{3}[/tex]
The above function is the parent function of a cube root function, and it passes through point (0,0).
See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]
Read more about cube root functions at:
https://brainly.com/question/13793603
Answer: d on edge
Step-by-step explanation:
d
The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
I don't know sorry
Find sin 90° + cos 360° + tan 0°
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
Which graph is defined by the function given below?
y = (x-3)(x-3)
Answer: graph b
Step-by-step explanation:
Vertex: ( 3 ,0 )
Focus: ( 3 , 1 4 )
Axis of Symmetry: x = 3
Directrix: y = − 1 4
what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
Find the value of x and the perimeter of the following shapes:
Answer:
x=2, perimeter=14
Step-by-step explanation:
Finding x
(x+1)(x+2)
x^2+2x+x+2=12
x^2+3x-10
x^2-2x+5x-10
x(x-2)5(x-2)
(x+5)(x-2)
x=-5
x=2
Length or Width should be a positve number.
x=2
Perimeter:
3+3+4+4=14
It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?
helpppp im failing math
Answer:
i think 4.4n+3-3.4n = n+3
Answer:
n+3
Step-by-step explanation:
If Im not incorrect you have to combine like terms in the equation which would only leave you with 1n (Just N basically) then you just plug in the three and equation done.
branliest if correct.
Solve.
2.903=y+710
Enter your answer as a decimal in the box.
y =
Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet
Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
Step-by-step explanation:
y = 4/3x
you can see the line passes through (0,0)
the next point it passes through is (3,4)
(y2-y1)/(x2-x1)
(4 - 0)/(3 - 0)
4 / 3
the slope = 4/3
meaning it goes up 4 and right 3 from point to point