[tex] {n}^{2} - n - 56 = [/tex]
[tex](n - 8)(n + 7)[/tex]
_____________________________________________
[tex]a {x}^{2} + bx + c = 0[/tex]
[tex]delta = {b}^{2} - 4ac[/tex]
[tex]x(1) = \frac{ - b + \sqrt{delta} }{2a} \\ [/tex]
[tex]x(2) = \frac{ - b - \sqrt{delta} }{2a} \\ [/tex]
_____________________________________________
[tex] {n}^{2} - n - 56 = 0[/tex]
[tex]delta = ({ - 1})^{2} - 4(1)( - 56)[/tex]
[tex]delta = 1 + 224[/tex]
[tex]delta = 225[/tex]
Thus ;
[tex]n(1) = \frac{ - ( -1) + \sqrt{225} }{2 \times 1} \\ [/tex]
[tex]n(1) = \frac{1 + 15}{2} \\ [/tex]
[tex]n(1) = \frac{16}{2} \\ [/tex]
[tex]n(1) = 8[/tex]
And[tex]n(2) = \frac{ - ( - 1) - \sqrt{225} }{2 \times 1} \\ [/tex]
[tex]n(2) = \frac{ 1 - 15}{2} \\ [/tex]
[tex]n(2) = - \frac{14}{2} \\ [/tex]
[tex]n(2) = - 7[/tex]
So[tex]n(1) = 8[/tex]
[tex]n(1) - 8 = 0 \: \: \: (\alpha )[/tex]
[tex]n - 8 = 0 \: \: \: \: ( \alpha )[/tex]And[tex]n(2) = - 7[/tex]
[tex]n(2) + 7 = 0 \: \: \: \: \: ( \beta )[/tex]
[tex]n + 7 = 0 \: \: \: \: ( \beta )[/tex]_____________________________________________
[tex] \alpha \times \beta = [/tex]
[tex](n - 8)(n + 7)[/tex]
The perimeter of the rectangle below is 102 ft. What is the value of X
one side is (2+x) ft
the other is 3 ft
Answer:
X=46 ft.
Step-by-step explanation:
Write an equation to solve the problem.
Since one side is 3 ft, don’t forget that there is another side of the rectangle that is also 3 ft. We can add this part to the equation as 2(3).
Now, let’s see the other side. It’s (2+x) ft. As mentioned before, there are another side, so, you guessed it: 2(2+x).
We have our equation:
2(3)+2(2+x) = 102 ft.
Simplify first:
6+4+2x = 102 ft.
10+2x=102 ft.
2x=92 ft.
x=46 ft.
I’m confused can someone help :(
Answer:
27 over 4
Step-by-step explanation:
To solve this, work on each side, one at a time.
Since there are variables, replace them with the numbers provided.
7x - 3y
over
2x + y
Can be translated to...
7 * 3 - 3 * -2
over
2 * 3 + -2
Let's work with the top side first.
7 * 3 - 3 * -2
Remember the order of operations (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Keep in mind that Multiplication and Division as well as Addition and Subtraction are done in the order shown in the problem.
Let's start by doing the multiplication...
21 - (-6)
Then the subtraction!
27!
Now for the bottom side...
2 * 3 + -2
Multiply first.
6 + -2
Then add!
4!
This leaves the answer as...
27 over 4!
7. The time required to process a shipment of goods at Wal-Mart varies directly
with the number of goods and inversely with the number of workers assigned
IF 15.000 items can be processed by 8 workers in 10 hours, then how long would
it take 12 workers to process 20.000 items?
Answer:
I think 8 hours sorry if i am wrong.
Step-by-step explanation:
Can I have Brainliest if right?
can anyone explain this to me
Answer:
angle 1: 30
angle 2: 41
angle 3: 96
Step-by-step explanation:
So the angles' sum in one triangle is 180 degrees so you know two of the first triangle's angles so you sum them up and you get: 150 so now you subtract that from 180 and get 30.
Now you can see that if you want to get angle 2 you need to get angle 3 first. so you can see that the 84 degrees is on the same line as angle 3 so, we also know that a line is 180 degrees. so 180-84=96.
Now to get angle 2 we just simply sum up 43 and 96 which is 139, then we subtract that from 180, then we get 41.
what is the answer for 3 7/3 ×2
Answer:
10 2/3
Step-by-step explanation:
3 7/3 = 16/3 x 2/1 =
32/3 = 10 2/3
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Show that
[tex] \frac{7}{27} + 1 \frac{7}{9} = 2 \frac{1}{27} [/tex]
Write down all the steps in your working
Answer:
2 wholes and 1 27th
Step-by-step explanation:
so you have to times the bottom numbers so there the same 9x3=27 then times the top by three so its 21 on the top the you plus 1 whole so then you add it all together you should get 2 wholes and 1 27th
Step-by-step explanation:
First add the LHS side,
[tex] \hookrightarrow\frac{7}{27} + 1 \frac{7}{9} \\ \hookrightarrow\frac{7}{27} + \frac{16}{9} \\ \hookrightarrow \frac{7 \times 1+ 16 \times 3}{27} \\ \hookrightarrow \: \frac{55}{27} \\ \hookrightarrow \: 2 \frac{1}{27} [/tex]
Hence LHS= RHS Proved!
Fill in values for a, b and c so that the answer to this equation is x = 4.
a(bx+3)=c
Answer:
A=1, B=3, C=15
Step-by-step explanation:
I think that
1(3x+3)=15
3x+3=15
3x=12
x=4
really stuck on this question idrk why.. can anyone help me?
Answer:
i think its C) 3x^2 + 5
Step-by-step explanation:
because it matches it matched the rectangle, I'm so sorry if this is wrong I tried my best good luck!!
Answer:
3x^2 + 15x
Step-by-step explanation:
area = length x width
a = 3x(x + 5)
a = 3x^2 + 15x
Which line segment is a radius of circle F?
FE
AC
ED
DC
Answer:
FE
Step-by-step explanation:
FE- radius
AC- diameter
ED- arc
DC- arc
» Which line segment is a radius of circle F?
[tex] {\overline{FE}}[/tex][tex] {\overline{AC}}[/tex][tex] {\overline{ED}}[/tex][tex] {\overline{DC}}[/tex]Answer:[tex] \bold{Radius/Radii = } \: \purple{ {\overline{FE}} }[/tex]Explanation:Radius is one-half (½) of the diameter. Radii (plural of radius)_______________∞_______________
what is the length of the sediment with endpoints (-3,4) and (5,4)
(-3,4); (5,4)
In image
--_----------------
Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below. France: height = 1,050 feet; base = 328 feet. 1. Proportion: StartFraction 1050 over 328 EndFraction = StartFraction 5 over x EndFraction. 2. Cross Products: 1050 (x) = 328 (5). 3. Simplify: 1050 x = 1640. 4. Divide: x almost-equals 1. 5619. The reduced tower height is about 1. 6 feet. What was Sharon’s error in finding the missing height measurement for her reduced tower? Her proportion does not have corresponding parts in the same position. For cross products, she needed to multiply 1050(328) and 5(x). She needed to divide both sides by 1640, instead of 1050. She needed to round down to 1. 5 feet.
Answer:
A.) Her proportion does not have corresponding parts in the same position.
Step-by-step explanation:
Sharon got the wrong answer which was supposed to be 1.6 feet
What is the equation for (4,8) please someone help I have a test tomorrow.
Answer:
Your answer will be y=x2−12x+32
Step-by-step explanation:
Step 1 : x = 4 and x = 8 are the two real distinct solutions for the quadratic equation, which means that x − 4 and x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0
Step 2: Expand ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0
Which would give you x2 − 12 x + 32 = 0
Step 3: The standard quadratic equation using the given set of solutions
{ 4 , 8 } is y = x 2 − 12 x + 32 .
This is you answer should be
y = x 2 − 12 x + 32
what is -2(3x + 12y - 17x -16y + 4) simplified?
Answer:
28x+8y-8
Step-by-step explanation:
Follow the orders of PEMDAS: (parenthesis, exponents, multiplication, division, addition, subtraction)
If an equation you need to solve has parentheses, simplify the parentheses (most often using distribution) and then solve as you normally would. Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.).
answer
28x+8y-8
Step-by-step explanation:
-6x -24y +34x +32y -8
Plz need help I will mark branliest
Answer:
see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 49 ← is in this form with
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7
Thus A = (7, 0 ) and B = (0, 7 )
To find M use the midpoint formula
M = ( [tex]\frac{7+0}{2}[/tex], [tex]\frac{0+7}{2}[/tex] ) = (3.5, 3.5 )
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{x_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3.5, 3.5 )
m = [tex]\frac{3.5-0}{3.5-0}[/tex] = [tex]\frac{3.5}{3.5}[/tex] = 1
y = x ← equation of line passing through O and M
Answer:
Below in bold.
Step-by-step explanation:
(a)
At point A, y = 0 so the coordinates of A are found as follows:
x^2+ 0^2 = 49
x^2 = 49
x = 7 so A is (7, 0).
In a similar way, by putting x = 0 in the equation, we can show that
B = (0, 7).
(b)
M is the midpoint of the line AB so its coordinates are:
(7+ 0)/2, (0 + 7) /2 = (3.5, 3.5).
So the slope of OM which also passes through the origin (0,0) is:
(3.5 - 0) /(3.5 - 0) = 1.
y - y1 = m (x - x1)
y - 3.5 = 1(x - 3.5)
y = x - 3.5 + 3.5
y = x is the required equation.
Perform the indicated operation. 1 3 2. 4 3 어 23 5 02. 히 12 O2 2 주를
Answer:
huh am lost
Step-by-step explanation:
what is the question all about I can only understand the figure but not the symbol
is this table a function?
We have x = 81 repeat itself. Any time x repeats, it means we don't have a function.
Put another way, the input x = 81 leads to more than one y output. A function is only possible if any given input leads to exactly one output. The input must be in the domain.
HELP ME PLZZ THIS DUE TODAY!
Answer:
D.
Step-by-step explanation:
I think that the easiest one would be D, because even after you use the property, it will still have addition only.
Given y=f(x) when f(x) = 2 the graph of y=[tex]\sqrt{f(x)}[/tex]
a. is undefined
b. intersects y=f(x) on the x axis
c. is above the graph of y=f(x)
d. intersects the graph of y=f(x)
e. is below the graph of y=f(x)
Answer:
e. is below the graph of y=f(x)
Step-by-step explanation:
The graph of y = √2 is below the graph of y = 2.
__
Both graphs are horizontal lines. √2 is about 1.414, so is less than 2. On a coordinate plane with values of y increasing in the "up" direction, y=1.414 will be graphed below y=2.
Slove
......................................................................................................................................................................
Answer:
[tex]\frac{9}{35}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}-\frac{1}{7}[/tex]
Finding LCM: loading...
5,7 : 35
Adjust fraction based on LCM:
[tex]=\frac{14}{35}-\frac{5}{35}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{14-5}{35}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:14-5=9[/tex]
[tex]=\frac{9}{35}[/tex]
[RevyBreeze]
100 BRAINLY POINTS!!!
The harvest results of a farm are shown in the graph below.
Which equation best models the relationship between the amount of compost used, x, and the harvest yield, y ?
A. y = x
B. y = 200x
C. y = x + 200
D. y = 200x + 200
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
C
Step-by-step explanation:
The guy who has 7.5k answers said so. Plus I need the 50 B Points
The equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
Given that, a graph that shows the harvest results of a farm, we need to construct an equation that will give a relation between the compost used and the yield,
So the coordinates are
(0,200)
(200,400)
(400,600)
(600,800)
Finding the slope,
600-400 / 400-200 = 200/200 = 1
The y-intercept is 200, so, the relationship is
y=200+x
Hence, the equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200
Learn more about equations, click;
https://brainly.com/question/29538993
#SPJ2
Find the quotient.
9 divided by 2 1/2
a. 4 2/5
b.3 1/5
c. 3 3/5
d.17 7/9
Answer:
c 3 3/5
Step-by-step explanation:
change to improper fraction
multiply by reciprocal simplify
Find te slope of the graph
Answer:
It is d. 3/2
Step-by-step explanation:
slope formula is rise over run or x2-x1/y2-y1. So it would be 6-0/4-0. That equals 6/4. You just need to simplify that by dividing both 6 and 4 by 2 and you get 3/2.
AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. using m for miles write the expression that depicts this situation
Answer:
y= 49.99x+.99
Step-by-step explanation:
There are 32 students in a class. Nine of those students are women. What percent are men?
Answer:
72%
Step-by-step explanation:
you can divide part of a whole by the whole to get a decimal
this decimal is the percentage when you move the decimal 2 places to the right
32 - 9 = 23 men
23/32 = .72 (rounded)
.72 = 72%
Given the function x^3-5x:
Find f (2)
Find f(-2)
Is the function odd or even?
f(2)= -2, f(-2)= 2, odd
Step-by-step explanation:
1. f(2)=x^3-5x
2. f(2)= 2^3-5(2)
3. f(2)=8-10
4. f(2)= -2
5. f(-2)= x^3-5x
6. f(-2)= -2^3-5(-2)
7. f(-2)= -8+10
8. f(-2)= 2
On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos.
Farmer Palmer counts in total, 11 heads and 30 legs. How many cats and how many chickens are in the chicken coop. Show a step by step method using simultaneous equations.
The number of chickens and goats will be 7 and 4, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos. Farmer Palmer counts in total, 11 heads and 30 legs.
We know that a goat has four legs and a chicken has 2 legs.
Let 'x' be the number of chickens and 'y' be the number of goats. Then the equations are given as,
x + y = 11 ...1
2x + 4y = 30 ...2
From equations 1 and 2, then we have
2(11 - y) + 4y = 30
22 - 2y + 4y = 30
2y = 8
y = 4
Then the value of 'x' is given as,
x = 11 - 4
x = 7
The number of chickens and goats will be 7 and 4, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Help pleaseee I need help filling the blank spaces with either true/false
I’ll mark brainliestttt
Answer:
1. true 2. true 3. false 4. true 5. false 6. false 7. false
Step-by-step explanation:
im not a 100% sure this is right but ik some that are right im just not sure about 3. and 5. so ye UWU
Answer:
T
F
T
T
F
F
T
Step-by-step explanation:
Solve: (4x-1) divided by 2 =x+7
Answer:
x=5/2
Step-by-step explanation:
4x-1/2=x+7
4x-x=7+1/2
3x=14/2+1/2
3x=15/2
x=15/2×1/3
so
x=5/2
43 A rescue boat on the ocean surface detects a sunken ship on the ocean floor. The sunken
ship makes an angle of 55° with the surface.
The distance between the rescue boat and
the sunken ship is 250 m.
Using the slope concept, it is found that the ship is sunken at a depth of 357 meters.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is the depth d.The horizontal change is of 250 m.The angle is of 55º.Hence, applying the slope:
[tex]\tan{55^\circ} = \frac{d}{250}[/tex]
[tex]d = 250\tan{55^\circ}[/tex]
[tex]d = 357[/tex]
The ship is sunken at a depth of 357 meters.
More can be learned about the slope concept at https://brainly.com/question/18090623
What do you do if you get a decimal point while trying to find the mean
Answer:
you leave the decimal point In the answer.