Answer:
a i the answer
Step-by-step explanation:
l ≤ 12
2l + 2w < 30
Answer: a
Step-by-step explanation:
solve: 4y - 6 = 2y + 8
Answer:
y = 7
Step-by-step explanation:
Given
4y - 6 = 2y + 8 ( subtract 2y from both sides )
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
PLEASE HELP DUE SOON!!!! A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
A. 12
B. 5
C. 13
What is the equation in slope-intercept form of a line that passes through the point (3, 7) and has a slope of 1/3?
Y=1/3x+7
Y=7x+1/3
Y=1/3x+6
Y=6x+1/3
Answer:
Y = 1/3x + 6
Step-by-step explanation:
You are trying to find the b in y=mx + b so you plug in the information you have
7=1/3 (3) + b
1/3 *3 = 1
7 = 1 +b
-1 - 1
6=b
So Y = 1/3x + 6
Help would be truly appreciated. Write the polynomial in standard form from the given zeroes of lest degree that has rational coefficients, a leading coefficient of 1.
Don't have to answer all just what you can. I would appreciate if work is shown that way I can do the same for the rest. I really just need a tutorial and I'm good. Thank you so much!!!
Answer:
1) The polynomial in standard form is f(x) = x³ - 9·x² + 23·x - 15
2) The polynomial in standard form is f(x) = x³ - (2 - 2·i)·x² + 4·i·x
3) The polynomial in standard form is f(x) = x² + (3·i - 3)·x + 2 - 6·i
4) The polynomial in standard form is f(x) = x² - (5 + √5)·x + 6 + 3·√5
Step-by-step explanation:
Given that that the polynomial is of least degree, we have;
The standard form is the form, f(x) = a·xⁿ + b·xⁿ⁻¹ +...+ c
1) The zeros of the polynomial are x = 5, 3, 1
Which gives the polynomial in factored form as_f(x) = (x - 5)·(x - 3)·(x - 1)
From which we have;
f(x) = (x - 5)·(x - 3)·(x - 1) = (x - 5)·(x² - 4·x + 3) = x³ - 4·x² + 3·x - 5·x² + 20·x - 15
f(x) = x³ - 9·x² + 23·x - 15
The polynomial in standard form is therefore f(x) = x³ - 9·x² + 23·x - 15
2) The zeros of the polynomial are x = 2, 0, 2·i
Which gives the polynomial in factored form as_f(x) = (x - 2)·(x)·(x - 2·i)
From which we have;
f(x) = (x - 2)·x·(x - 2·i) = (x² - 2·x)·(x - 2·i) = x³ - 2·i·x² + 2·x² + 4·ix
The polynomial in standard form is therefore f(x) = x³ - (2 - 2·i)·x² + 4·i·x
3) The zeros of the polynomial are x = 2, 1 - 3·i
Which gives the polynomial in factored form as_f(x) = (x - 2)·(x - 1 - 3·i)
From which we have;
f(x) = (x - 2)·(x - (1 - 3·i)) = x² - x + 3·i·x - 2·x + 2 -6·i = x² + 3·i·x - 3·x + 2 - 6·i
The polynomial in standard form is therefore f(x) = x² + (3·i - 3)·x + 2 - 6·i
4) The zeros of the polynomial are x = 3, 2 + √5
Which gives the polynomial in factored form as_f(x) = (x - 3)·(x - (2 + √5))
From which we have;
f(x) = (x - 3)·(x - (2 + √5)) = x² - 2·x - x·√5 - 3·x + 6 + 3·√5
f(x) = x² - 5·x - x·√5 + 6 + 3·√5 = x² - (5 + √5)·x + 6 + 3·√5
The polynomial in standard form is therefore f(x) = x² - (5 + √5)·x + 6 + 3·√5.
PLEASE HELP!!!!!
A line intersects the points (-8, -1) and
(1, 8). What is the slope-intercept
equation for this line?
y= [?}x+ _
Answer:
m=1
c=7
I hope it will be useful.
what is –9 – (–13) and how do i solve
Answer:
4
Step-by-step explanation:
-9-(-13)
-9+13 <---- (-)*(-) = (+)
13-9
4
Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
The system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
The solution set is given as:
[tex](x,y) = (2,1)[/tex]
The above solution set is true for x + 2y ≤ 4 and 2x - y > 0, and the proof is as follows:
Substitute 2 for x and 1 for y in x + 2y ≤ 4 and 2x - y > 0.
So, we have:
[tex]\mathbf{2 + 2\times1 \le 4 }[/tex]
[tex]\mathbf{2 + 2\le 4 }[/tex]
[tex]\mathbf{4\le 4 }[/tex] --- this is true, because 4 is less than or equal to 4
Also, we have:
[tex]\mathbf{2x - y > 0}[/tex]
[tex]\mathbf{2 \times 2 - 1 > 0}[/tex]
[tex]\mathbf{4 - 1 > 0}[/tex]
[tex]\mathbf{3> 0}[/tex] --- this is also true, because 3 is greater than 0
Hence, the system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
Read more about inequalities at:
https://brainly.com/question/11702933
Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
A) AA similarity
B) SAS similarity
C) SSS similarity
D) not similar
Answer:
B). SAS similarity.
Step-by-step explanation:
In Δ WVU & ΔCAB,
UV/CA = 17/34 = 1/2
&
VW/AB = 14/28 = 1/2
∵ UV/CA = VW/AB = 1/2
& ∠V = ∠A (Given)
∵ ΔWVU ≅ ΔCAB (by SAS similarity)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I know its not that hard im just doing this for fun lol
Answers:
0.210.226.50.680.6240.230.10130.200.1916plus all rounded so i don't cuffuse anyone
how many solutions does the nonlinear system of equations graphed below have
a. one
b. four
c. zero
d. two
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
 Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
30
Step-by-step explanation:
I asked the my math tutor lol
can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
Answer:
cos B = [tex]\frac{7}{25}[/tex]
tan B = [tex]\frac{24}{7}[/tex]
sin B = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
Hypotenuse ⇒ the opposite side of the right angleLeg1 and Leg 2 ⇒ the sides of the right angleThe trigonometry functions of one of the acute angles Ф are
sin Ф = opposite leg/hypotenusecos Ф = adjacent leg/hypotenusetan Ф = opposite leg/adjacent legIn Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = [tex]\frac{CB}{AB}[/tex] , tan B = [tex]\frac{AC}{CB}[/tex] , sin B = [tex]\frac{AC}{AB}[/tex]
∵ CB = 7, AB = 25, AC = 24
∴ cos B = [tex]\frac{7}{25}[/tex]
∴ tan B = [tex]\frac{24}{7}[/tex]
∴ sin B = [tex]\frac{24}{25}[/tex]
Please help me with part A B and C can you write the answers and show me how you get it in a notebook please
You can see all answers in the picture
In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.
Answer:
s = 6 inches
Step-by-step explanation:
Given:
r = 53 inches,
∠S = 6°
∠T = 58°.
Required:
Length of s
Solution:
Use Sine Rule
Thus:
[tex] \frac{s}{Sin(S)} = \frac{r}{Sin(R)} [/tex]
<R = 180 - (58 + 6)
<R = 116°
r = 53 inches,
∠S = 6°
s = ?
Plug in the values
[tex] \frac{s}{Sin(6)} = \frac{53}{Sin(116)} [/tex]
Multiply both sides by Sin(6)
[tex] \frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6) [/tex]
[tex] s = \frac{53 \times Sin(6)}{Sin(116)} [/tex]
[tex] s = 6 inches [/tex] (nearest inch)
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. Anna earns $20 for every 400 envelopes. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
Jason has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table of Anna and Jason we can see that Anna makes more stuffing than Jason for the same number of envelopes.
c) Anna has a savings of $100 initially. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
Therefore from the graph there is a y intercept at 100. That is the earnings starts initially is $100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value of y at x = 0)
For the first graph, the slope is 1/20 with an initial value of 0 while for the second graph the slope is 1/15 with an initial value of 100
D) The trend line pass through the points (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
Calculate the remainder when 3456 is divided by 7
Answer:
The remainder when 3456 is divided by 7 is 6.
5 is the remainder when 3456 is divided by 7
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find the remainder when 3456 is divided by 7
3456/7
3456:7 is a ratio and 3456/7 is also called as fraction.
The number 3456 is called the numerator or dividend, and the number 7 is called the denominator or divisor.
3456 we can write as 3451+5
3451 is divided by 7 which gives 493.
5 is the remainder when 3456 is divided by 7
Hence, 5 is the remainder when 3456 is divided by 7
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
this months rainfall is 30% less than last months total of 3.5 inches.
PLZZZZ ANSWWERRR ASAPPP MARKING BRAINLIEST
Answer:
1.05
Step-by-step explanation:
3.5x.30=1.05
Answer:
1.05
Step-by-step explanation:
You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.
Choose the algebraic expression that describes: 13 less than y.
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
Emily sent 60 texts so far this week. What is 20%of the total number of text messages she is allowed in one week
Answer:
so we should find the %20 of 60
60.%20=12
Step-by-step explanation:
the answer is 12
hope it helps
HELP PLS ! i’ll give brainlest is the answer is correct
Answer:
Function.
General Formulas and Concepts:
Algebra I
Vertical Line Test - each x-value must have it's own y-valueStep-by-step explanation:
If we apply the Vertical Line Test to the graph, we can see that each x-value has it's own y-value. Therefore, the graph is a function and not a relation.
Identify the following division expressionS that have a quotient of 25. (MORE THAN ONE ANSWER)
(A) 125/5
(B) (100/20) + (100/5)
(C) (100/5) + (25/5)
(B) 125/25
(MULTIPLE CHOICE BRAINLIST IF RIGHT)
Answer:
a and c are correct
Step-by-step explanation:
i hoped this helped
Solve by using the quadratic formula:
x2 - 6x + 7 = 0
Final Answer: [tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]
Steps/Reasons/Explanation:
Question: Solve by using the quadratic formula: [tex]x^{2} - 6x + 7 = 0[/tex].
Step 1: Use the Quadratic Formula.
[tex]x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}[/tex]
Step 2: Simplify solutions.
[tex]x = 3 + \sqrt{2}, 3 - \sqrt{2}[/tex]
~I hope I helped you :)~ The quadratic formulaic is attached in an image.
What is the difference? Complete the equation. -4 - 2 1/2
Answer: - 6 1/2
Step-by-step explanation:
We should note that:
=-4 - 2 1/2
= -6 1/2
For example, let's assume you owe Bob $4 and then you owe Bill $2 1/2. To calculate the total amount owed, you would have $6 1/2.
help!!
f(x) = x2. What is g(x)?
Answer:
g(x) = 1/2x² is the correction option.
Hence, option B is true.
Step-by-step explanation:
Please check the attached graph.
The blue line represents f(x) = x²The red line represents f(x) = 1/2x²It means when we multiply the parent function by a number 'b' which is less than 1, then the parent function f(x) = x² is vertically compressed by b.
Here, the graph is vertically compressed by 1/2, therefore we conclude that g(x) = 1/2x² is the result of vertical compression of the parent function by 1/2.
Therefore, g(x) = 1/2x² is the correction option.
Hence, option B is true.
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....A thin rectangular sheet of metal is 6 inches wide and 10 inches long. The sheet of metal is to be rolled to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder formed
Answer:
Length of the Rectangle is to be considered as the circumference of the resulting cylinder and the width of the rectangle should be considered as the height of the cylinder only then we get the maximum volume of the cylinder which is 47.77[tex]in^3[/tex]
Step-by-step explanation:
The given dimensions are
Width of the rectangle is 6inches.
Length of the rectangle 10inches.
Now we need to choose in what orientation we need to use the length and the width of the rectangle so that it can be rolled into a rectangle and we get the maximum volume of the resulting cylinder.
so lets consider two cases
CASE-1: width of the rectangle is to be rolled as the circumference of the cylinder and length of the rectangle is to used as the height of the cylinder
2*pi*r = 6
r = [tex]\frac{6}{2pi}[/tex]
r = [tex]\frac{3}{pi}[/tex] Inch
and the height = 10inch.
Volume of the resultant cylinder will be
= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{3}{pi} )^2*10[/tex]
= [tex]\frac{9}{pi}*10[/tex]
= [tex]\frac{90}{pi}[/tex] = 28.662 [tex]in^3[/tex]
CASE-2: When the length of the rectangle is to used as the circumference of the resultant cylinder and the width of the cylinder is used as the height of the cylinder.
2*pi*r= 10
r = [tex]\frac{5}{pi}[/tex]
and the height of the cylinder is 6 inch
Now the volume of the cylinder will be
Volume= [tex]pi*r^2*h[/tex]
= [tex]pi*(\frac{5}{pi} )^2*6[/tex]
= [tex]\frac{25}{pi}*6[/tex]
= [tex]\frac{150}{pi}[/tex] = 47.77[tex]in^3[/tex]
Clearly we have the second case in which the resulting Cylinder will have the maximum volume.
Therefore the CASE-2 will provide the maximum Volume of 47.77[tex]in^3[/tex] to the resulting cylinder in which the length of the rectangle is to be considered as the circumference of the Cylinder and the width of the rectangle is to be considered as the height of the cylinder.
GUYSSS HELPPP MEEE IM SUPPOSED TO SUBMIT IT IN 20 MINS AND I HAVE NO IDEA!!
PLEASE HELP
1. f(x) = x² + x + 4
f(x) = 0
0 = x² + x + 4
-4 = x² + x
2. linear equation
one solution
Jamie works for a construction company. Hi sorry company was hired to build some bricks. They bought 3/4 of a ton of bricks. Each brick house uses 1/5 of a ton of bricks. Using the amount that they have Howe many brick house can Jamie complete before they have to order more.
Answer:
3 3/4 brick house
Step-by-step explanation:
Total bricks bought = 3/4 of a ton
Each brick house uses = 1/5 of a ton
How many brick house can Jamie complete before they have to order more?
Number of brick house Jamie can complete with the available bricks = Total bricks bought / bricks per house
= 3/4 ÷ 1/5
= 3/4 × 5/1
= 15/4
= 3 3/4 brick house
Jamie will complete 3 3/4 brick house before they have to order more bricks
Find the area of the sector:
A=
yd? (Round to one decimal place)
210°
16 yd
Answer:
469.1 yd²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{210}{360}[/tex]
= π × 16² × [tex]\frac{21}{36}[/tex]
= 256π × [tex]\frac{7}{12}[/tex]
≈ 469.1 yd² ( to 1 dec. place )