Answer: a) 10
Step-by-step explanation:
Buscando en google, encuentro que la expresión es:
C(x) = 9*x^2 - 80*x - 100
Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:
9*x^2 - 80*x - 100 = 0.
Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:
a*x^2 + b*x + c = 0
Las soluciones son:
[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]
en este caso, tenemos:
a = 9
b = -80
c = -100
Entoces, las soluciones van a ser:
[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]
Entonces las dos soluciones son:
x = (80 - 100)/18 = -20/18 = -10/9
Esta solución la descartamos, pues es negativa. La otra solución es:
x = (80 + 100)/18 = 180/18 = 10
La opción correcta es a: 10
here are 180 candies in a candy shipment. There are Gobs, Blobs, and Toffees. The bage are made in ratio of 4:2:3 of Gobs, to Blobs to Toffees.
Gobs cost $1.50 each, and blobs cost $2.50 each.
The total cost of all the candy shipment is $430. What is the cost for each toffee?
Answer:
The answer to the cost for each toffee is given below:
Step-by-step explanation:
The computation of the cost for each toffee is shown below:
Given that
There are a total 180 candies hat includes three types in a ratio of 4:2:3
Gobs = 4 ÷ 9 × 180 = 80
Blobs = 2 ÷ 9 × 180 = 40
Toffees = 3 ÷ 9 × 180 = 60
Now the total cost of all the candies shipment is $430
So,
The equation would be
80 × $1.50 + 40 × $2.50 + 60 × per cost = $430
120 + 150 + 60 × per cost = $430
60 × per cost = $430 - $120 - $150
60 × per cost = $160
Per cost is $2.67
So for toffees it would be 160
acute angle degrees is
Answer:
Acute angles measure less than 90 degrees.
Help please! The division Axiom would allow us to say which two angles are equal?
Answer:
The correct option is;
(3) ∠ADB and ∠BDC
Step-by-step explanation:
From the division axiom, we have;
(a+a)/a = 2·a/a = 2
The given parameters are;
m∠ADC = m∠ABC
[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC
Therefore;
∠ADB ≅ ∠BDC
∠ABD ≅ ∠CBD
Therefore;
∠ADB/∠CBD = ∠BDC/∠ABD
Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.
Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the small box of popcorn are similar to the dimensions of the giant box of popcorn.
What is x when the width of the small box is 4 inches? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
6.7
HELP ME PLEASE IT'S DO RIGHT NOW***
Answer:
[tex]x^{2} -121[/tex] goes with (x+11)(x-11)
[tex]x^{2} +121[/tex] does not have a solution/answer
[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)
[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)
[tex]x^{2} -50[/tex] does not have a solution/answer
[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]
[tex]x^{2} -144[/tex] goes with (x+12) (x-12)
Step-by-step explanation:
its factoring
Will give brainliest if correct.
Answer:
y = -5x - 10
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Now, in your case:
5x + y = -10
Move 5x (don't forget to change the signs!):
y = -5x - 10
Hope this helps!
Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials
On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1
Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?
Answer:
$6.36 would be your answer￣へ￣
Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6
Step-by-step explanation:
Does anyone know this. whoever answers first and correct ill give brainliest
Answer:
5.49 x 10^14
Step-by-step explanation:
The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^
Does anybody know what 4/5 ( + 1) is in standard form.
Answer:
1 4/5
Step-by-step explanation:
4/5 + 1 = 1 4/5
I hope this helped, please mark Brainliest, thank you so much!!
James paid 13.20 for 12 mangoes. For every 5 mangoes that he bought he got one mango free. Mary wants to by 4 mangoes from the same shop. She only has $5.10. How much more money does she need
Answer:
Mary needs $0.18 more
Step-by-step explanation:
12 mangoes = $13.20
For every 5 mangoes that he bought he got one mango free
This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)
If James paid $13.20 for 10 mangoes, then
Each mango cost = $13.20 / 10
= $1.32
Each mango cost $1.32
Mary wants to by 4 mangoes from the same shop.
Total cost of 4 mangoes = $1.32 × 4
= $5.28
She only has $5.10.
How much more money does she need
Amount needed more = Total amount required - total amount available
= $5.28 - $5.10
= $0.18
Mary needs $0.18 more
Describe the process for
graphing the equation
y =-1/2x- 1
the formula is y=mx+b
m is the slope
b is the y-intercept form
so the -1 is the y-intercept form. so you need to start at that point on the y axis. then the slope which is -1/2 comes into play. in my school we use rise/run. so from the point you marked at -1 you will go down 1 and to the right 2 points then where you stop is your next point (mark it) keep doing that. also go up the other way from the -1 point. go up 1 and to the left 2. then connect all of your points with a line. I hope this helped.
please chose this answer as brainliest
The table represents a linear function. WhT is the slope of the function?
Answer
The slope of the function is 5.
Step-by-step explanation:
Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
Replace the ? with a number that balances the equation. -3.4 = -2 + ?
Answer:
?=-1.4
Step-by-step explanation:
The number that fits the ? is -1.4. Hope it helps!
Answer:
-1.4
Step-by-step explanation:
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
Find the common difference of the arithmetic sequence 13, 18, 23, ...
Answer:
5
Step-by-step explanation:
To find the common difference you just find the difference between each number. 18-13=5, 23-18=5, etc.
Answer: awnswer mine for 53 points
Step-by-step explanation:
Find the slope of the line y = 8/3x - 1/3 simplify your answer.
Answer:
8/3
Step-by-step explanation:
Slope:
8 /3
y-intercept:
( 0 , − 1 /3 )
Step-by-step explanation:
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
A slide 15 feet long makes an angle of 330 with its vertical ladder. To the
nearest foot, how tall is the slide?
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
WILL MARK brainliset answer if gotten right
Answer:
Line segment PN
Step-by-step explanation:
Solve the equation 3x = 2x +5.
What can you do to isolate the variable on one side of
the equation?
What is the solution?
Answer:
1. C
2. D
Step-by-step explanation:
In that order
Help please :((((((((((((((
Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
Multiply: (5.8 x 10^-6) x (2 x 10^4).
Answer:
[tex]1.16*10^{-1}[/tex]
Step-by-step explanation:
[tex](5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}[/tex]
what relations are functions?
Answer:
all
Step-by-step explanation:
because they all got x and y
Answer:
A and C
Step-by-step explanation: cause of that rule that says there is only one output for every input also for graphs you can use see if there are two points on a line then its not a function that's why D isn't cause there are two on X axis (2,-1) and (2,1) :))
Can someone explain this to me if you can.
Answer: I wish I can help, but I don't know how to explain it
1/3(6x-5)-x = 1/3-2(x+1)
Value of X
Answer:
x=0
Step-by-step explanation:
do you need work? I did it in my head
Answer:
x=5/24
Step-by-step explanation:
2x-\frac{5}{2}=-2x-\frac{5}{3} Then add 5/2 to both sides 2x-\frac{5}{2}+\frac{5}{2}=-2x-\frac{5}{3}+\frac{5}{2} simplify 2x=-2x+\frac{5}{6} add 2x to both sides 2x+2x=-2x+\frac{5}{6}+2x simplify 4x=\frac{5}{6} divide both sides by 4 \frac{4x}{4}=\frac{\frac{5}{6}}{4} simplify then u get x=5/24
30 workers can complete a work in 40 days in how many days would 20 men complete the construction
Answer:
27
Step-by-step explanation:
(30 workers/40 days) = (20 workers/x days) cross multiply
30*x=40*20 divide by 30 both sides
x= 800/30
x≈26.67
So they will need 27 days
Help me find D please
Answer:
21 deg
Step-by-step explanation:
3x + 5x - 2 + 18x = 180 deg (sum angles of triangle)
26x = 182 deg
x = 7 deg
angle D = 3x = 3 x 7 = 21 deg