Lets subtract 3 from each term we get 0,6...
Now we have muplitles of 6
6*0
6*1
Now we can find last number whcich is 6*33=198
now use formula to find sum
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line? Choices are as follows: b = y + mx b = y - mx b = [tex]\frac{y-m}{x}[/tex] b = -12 b = -4 b = 2
Answer:
b=y-mx
Step-by-step explanation:
We know that y=mx+b is the slope intercept form of a line and we know that the slope of the line is 4. So:y = 4x+bHowever, we need to find the y intercept of the line which is b. Using the point (1,-8), we can find the y intercept. We need to find the equation to find the y-intercept. So:y = mx+b b=y-mxAnd now, we can substitute 4 for m which is the slopeb=y-4xUsing the point (1,-8) we can find the y-intercept b=(-8)-4(1)b=-8-4b=-12the equation of the line is y = 4x - 12 with the slope being 4 and y-intercept is -12. The equation we used is b = y-mx
solve inequality and show work please
Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.
Answer:
Perry is correct, she covered the greatest area = 18 square units.
Step-by-step explanation:
Looking at the attached diagram, the shapes are rectangular and they are on grid or graph
Note that on a graph:
1 square box = 1 unit
Area of rectangle = Length × Width
For Karina
The Width = 3 units
The length = 4 units
The area which Karina covered = 3 units × 5 units
= 15 square units
For Perry
The Width = 9 units
The length = 2 units
The area perry covered = 9 units × 2 units
= 18 square units
Therefore, Perry is correct, she covered the greatest area = 18 square units.
Factor the following polynomial completely. x²n - y²n
Answer:
(n)*(x+y)(x-y)
Step-by-step explanation:
First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).
Answer:
n(x+y)(x−y)
Step-by-step explanation:
1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them. So, you can take out the n. You get this: n(x^2-y^2)
2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power). To do this, you simply split the two apart and make sure to include the negative. You get this, the final answer:
n(x+y)(x-y)
3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.
Hope this helped! Feel free to ask any questions :)
Help pls i need help !!
Answer:
Ray, Line, Transversal?, Plane, Segment
Step-by-step explanation:
The perimeter of a rectangular playing field is 280 feet. The length of the field is 20 feet more than the width. What are the dimensions of the playing field? (You need to find the length and the width.)
Answer:
L =80
w=60
Step-by-step explanation:
P =280
L =w +20
=>L +w=280 :2 =140
w+20+w=140
2w=140 - 20
2w =120
w=120 :2 =60
L=60 +20 =80
P =2L +2w
P =2 ×80 +2 ×60
P=160 +120
P=280
Answer:
L = 80 , w=60
Step-by-step explanation:
l= w+20
perimeter: l+w+l+w=280
Plug in the value of L in place of L
(w+20)+w+(w+20)+w=280
Combine Like terms
and then separate the variables and knowns by subracting 40 from both sides
4w+40=280
-40 -40
Divide by 4 from both sides so (W) would be alone
4w=240
÷4 ÷4
You solved half the question now
w = 60
Remember the L at the top
we now know the value of W
so
L=(60)+20
L=80
just to be sure
80+80+60+60=280
you are welcome
f(x) = x – 5x + 2 – 3x + 6
State how many complex and how many zeros the function have?
Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016? a. Network systems and data communications analysts b. Personal and home care aides c. Home health aides d. Personal finance advisors
Answer:
c. home health aide
Step-by-step explanation:
Answer:
its C, home health aids
Step-by-step explanation:
2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.
Answer: angle 1 and 3 measure 29 degrees.
angle 2 and 4 measure 151 degrees.
Step-by-step explanation:
what is cross products
15 metres cloth cost Rs 240, if the
price is decreased by 20 %. What will
be the cost of 20 metres cloth?
Answer:
$256
Step-by-step explanation:
240/100*20=48 so then 15m of cloth is $192. To get too 20m you can divide 15 by 3 and then times it by 4. 192/3*4=256. Therefore for 20 metres of cloth it is $256. YAY
Answer:
256
Step-by-step explanation:
Identify ALL of the constants & coefficients of the following equation:
18 - 5W + 7w-4 = 28
Answer:
constants are 18, -4 and 28
coefficients are -5, 7
Step-by-step explanation:
constants are numbers not attached to variables
coefficients are numbers attached to variables
Mark wants to put a fence around his square yard.He knows that his yard is shaped like a square and the area of the yard is 110. What would the perimeter be
Answer:
27.5 is the answer good luck
Step-by-step explanation:
good luck my G
(x^4−5x^3−8x^2+13x−12)÷(x−6)
Answer:
x^3+x^2-2x +1- 6/x-6
Step-by-step explanation:
Solve using polynomial division.
Hope this helps.
Answer: This problem has No solution, because you can only combine like terms which there isn't any
hope this helps
plz mark brainliest
In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior
Answer:
1/3
Step-by-step explanation:
There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.
Evaluate the expression when a = -2 and b=2.
a-2b
Answer:
-6
Step-by-step explanation:
a-2b
-2-2(2)
-2-4
-6
What is 8.6x10to the -5 power in standard form
Answer:
0.000086
Explantion :
Just move the decimal point 5 to the left.
Hey! I'm not sure what the answer is to this..Mind helping me out?
Answer:
81
Step-by-step explanation:
A perfect square has all side lengths the same so...
9*9=81
Find the median:
3.8, 4.2, 4.0, 4.2, 4.2
Answer:
4.2 is your median
Step-by-step explanation:
just o the math
Answer:
4.0
Step-by-step explanation:
[tex]3.8\: \:)4.2\:\:)4.0(\:\:4.2(\:\:4.2[/tex]
Median is the middle number in a given set of data .
HELPPPPPPPPPPP!!!!!!
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x
2(3-p)=17=41 show answer.
this is what I found hope its correct!♀️
Hey, I know the correct answer is C. May someone please explain or give me an example why the answer is C.
Answer:
3ny
Step-by-step explanation:
For this problem, the price of a widget is represented by 'n' amount of dollars. Additionally, the store was stocked with 4y widgets.
To find the total cost of the widgets sold, we will use the information that at the end of the day, the store only had y widgets remaining.
From here we can say the following to represent the total cost of the widgets sold:
cost = n * (4y - y)
cost = n * (3y)
cost = n3y
You can rewrite this cost to be 3ny as in the answer choice.
Cheers.
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *
Answer:
x = 35Step-by-step explanation:
Collinear points A, B, and C and point B being midpoint of AC means:
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A = π - (B + C)
→ B + C = π - A
Use the Pythagorean Identity: cos² A + sin² A = 1 → sin² A = 1 - cos² A
Use Double Angle Identities: cos 2A = 2 cos² A - 1 → cos² A = (cos 2A + 1)/2
→ cos A = 1 - 2 sin² (A/2)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use Cofunction Identities: cos (π/2 - A) = sin (A)
sin (π/2 - A) = cos A
cos (-A) = cos (A)
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad \sin^2\bigg(\dfrac{B}{2}\bigg)+\sin^2 \bigg(\dfrac{C}{2}\bigg)-\sin^2\bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Pythagorean:}\qquad 1-\cos^2 \bigg(\dfrac{B}{2}\bigg)+1-\cos^2 \bigg(\dfrac{C}{2}\bigg)-\bigg[1-\cos^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\cos^2 \bigg(\dfrac{B}{2}\bigg)-\cos^2 \bigg(\dfrac{C}{2}\bigg)+\cos^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad 1-\bigg(\dfrac{\cos(2\cdot \frac{B}{2})+1}{2}\bigg)-\bigg(\dfrac{\cos (2\cdot \frac{C}{2})+1}{2}\bigg)+\bigg(\dfrac{\cos (2\cdot \frac{A}{2})+1}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1-\dfrac{\cos B}{2}-\dfrac{1}{2}-\dfrac{\cos C}{2}-\dfrac{1}{2}+\dfrac{\cos A}{2}+\dfrac{1}{2}\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}[1-(\cos B+\cos C)+\cos A][/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Given:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{\pi -A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Cofunction:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Double Angle:}\qquad \dfrac{1}{2}\bigg[1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg[2-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Factor:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{A}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{\pi -(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)+\cos \bigg(\dfrac{B+C}{2}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot 2 \cos \bigg(\dfrac{(B-C)+(B-C)}{2\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{(B-C)-(B+C)}{2\cdot 2}\bigg)\\\\\\.\qquad \qquad \qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(-\dfrac{C}{2}\bigg)[/tex][tex]\text{Cofunction:}\qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad \checkmark\\\\\quad 1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)=1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)\quad[/tex]
Simplify the following: (-83)2
( 1.03 x 10^9 ) - ( 4.7 x 10^7 )
Answer:
983000000
Step-by-step explanation:
What is 8c-4-2c+5= simplified
Answer:
6c+1Step-by-step explanation:
[tex]8c-4-2c+5\\\\\mathrm{Group\:like\:terms}\\=8c-2c-4+5\\\\\mathrm{Add\:similar\:elements:}\:8c-2c=6c\\=6c-4+5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-4+5=1\\=6c+1[/tex]
What is the solution of the equation 2/3 + 5x/3= 9 ?
Answer:
x=5
Step-by-step explanation:
multipy both sides of the equation by 3 to remove the denominator becomes
2+5x=27
subtract 2 from both sides since it's positive
5x=25
divide 5 from both sides
x=5
Please mark Brainlist!!!
Evaluate the expression when x=-3.
x^2+5x=-4
[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]
This is not possible, as -6 is not equal to -4.
What is the question to b(x)=3x-1.
Answer:
x = 1/3
Step-by-step explanation: