Answer:
(3x -10)(x -2)
Step-by-step explanation:
You want to start by finding two factors of 3·20 = 60 that have a total of -16.
60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)
The last of these factor pairs (-6, -10) have a total of -16, so these are what you need to rewrite the middle term:
3x² -6x -10x +20
Now, you can factor by pairs:
= 3x(x -2) -10(x -2)
= (3x -10)(x -2) . . . . your factored trinomial
I need help with answering this equation -2x = -16
Answer:
x= 8
Step-by-step explanation:
Divide -2 on both sides to solve for x
x=8
Answer:
x=8
Step-by-step explanation:
Divide each term by -2 and simplify.
Hope this helps. Plz give brainliest.
An Integrated Circuit (IC) chip is declared as "good" if it passes the quality acceptance test. Otherwise, the chip is declared as "bad". A mechanical machine produces two IC chips in pairs. Tests show that the first chip is good with probability 3/5. When the first chip is good, the probability that the second chip is good is 4/5. When the first chip is bad, the probability that the second chip is good is 2/5. a) What is the probability that both chips are good? b) What is the probability that both chips are bad? c) What is the probability that exactly one chip is good?
Answer:
a) The probability of both chips being good = 0.48
b) The probability of both chips being bad = 0.24
c) The probability of one chip being good = 0.60
Step-by-step explanation:
Probability of first chip being good = 3/5 = 0.60
Probability of second chip being good = 4/5 = 0.80
Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)
Probability of second chip being good if the first is bad = 2/5 = 0.4
Therefore, the probability of it being bad = 0.60 (1 - 0.40)
For both chips to be good, the probability = 0.60 * 0.80 = 0.48
For both chips to be bad, the probability = 0.60 * 0.40 = 0.24
Find the product of -5.3(-0.5)
A. 4.1
B. 2.65
C. 2.75
D. 3.45
Answer: is B 2.65
Step-by-step explanation:
WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 211 − 5x. The cost of producing x widgets is given by C(x) = 1,401 + 16x. Construct the revenue function, R(x). Find the production level that will result in the maximum revenue. Find the maximum monthly revenue. Enter your answer to part c in the box below. Round your answer to the nearest cent.
Answer:
The answer to this question can be defined as follows:
i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]
ii) x=22 units
iii) Maximum profit: 953.45
Step-by-step explanation:
Given value:
p(x) = 211 − 5x \\
C(x) = 1,401 + 16x
The formula for calculating the profit function value:
[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]
[tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]
The formula for calculating the value for maximum profit:
[tex]p'(x) = - 10x + 217 =0[/tex]
[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]
So, the production level is 22 units
Maximum profit:
[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]
[tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]
The maximum monthly revenue of WidgCo is; $489
We are given;price function; p(x) = 211 - 5x
Cost function; C(x) = 1401 + 16x
We know that revenue would be gotten by the formula;Revenue = number of units sold × price per unit
Thus;
R(x) = x(211 - 5x)
Expanding this gives;
R(x) = 211x - 5x²
Maximum revenue will be the revenue for the number of widgets when R'(x) = 0. Thus;R'(x) = 211 - 10x
At R'(x) = 0, we have;
211 - 10x = 0
x = 211/10
x = 21.1
x ≈ 21 widgets
Thus;Maximum Revenue is;
R(20) = 195(21) - 1401 - 5(21)²
R(20) = $489
Read more about revenue function at; https://brainly.com/question/6394733
Name three Apex predators
Answer:
lions, tigers, and bears
Step by-step explanation:
They are apex predators because they are on top of the food chain.
Jonas wants to serve serve 48 people one cup of tea each. How many gallons of tea must he prepare?
Answer:
3 gallons
Step-by-step explanation:
1 gallon=16 cups
48÷16=3
3 gallons makes 48 cups
What is the scale factor of ABC to DEF?
A.6
B.8
C.1/8
D.1/6
Answer:
eight
Step-by-step explanation:
The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
What is a scale factor?The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).
How do we solve the given question?In ΔABC and ΔDEF,
AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)
∴ ΔABC ~ ΔDEF (SSS axiom)
The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.
∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
Learn more about the scale factor at
https://brainly.com/question/10253650
#SPJ2
find the slope, vertical and horizontal intercept of (2,9) and (4,3)
Answer:
Slope: -3
Vertical Intercept (y-intercept): 15
Horizontal Intercept (x-intercept): 5
Step-by-step explanation:
[tex]\frac{3-9}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3
then we put the slope into point slope form.
y-9=-3(x-2)
in order to find the x-intercept, we need to make the y value 0.
-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.
-15=-3x divide both sides by -3 to get 5, the x-intercept.
in order to find the y-intercept, we need to make the x value 0.
y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.
y=15
Line l passes through the points (- 4, 3) and (2, 1) What is the slope of a line that is perpendicular l
Answer:
m=1
Step-by-step explanation:
The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1
Suppose a number is chosen at random from the set {0,1,2,3,...,497}.
What is the probability that the number is a perfect cube?
===========================================================
Explanation:
Cube values in the set {0,1,2,3,...} until we reach a result larger than 497
0^3 = 01^3 = 12^3 = 83^3 = 274^3 = 645^3 = 1256^3 = 2167^3 = 3438^3 = 512We stop here because 512 is larger than 497.
Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.
The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}
There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}
So the probability of getting a perfect cube is 8/498 = 4/249
You can walk 1 1/12 miles in 1/2 hour.
What is your average speed?
Answer:
3 miles per hour
Step-by-step explanation:
there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3
Hope this helps :-)
89,659 to the nearest thosannd
Answer:
100,000
Step-by-step explanation:
If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours
What is the solution to this equation?
X/4= -12
Help please
1 1/2% of what number is 10.05
Answer:
10/25%
Step-by-step explanation:
Answer: 15.075%
Please mark me as Brainliest
........what’s the value of x?
Answer:
110
Step-by-step explanation:
A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
what is 2,970,000 in scientific notation
Answer:
i think its 2.97 x 106
Step-by-step explanation:
hope its right/helps
Hello, please help me with this question. Thank you.
Answer:
I’m thinking it’s C, 119 degrees
Step-by-step explanation:
180 - 61 =119
Function or not?? Please help
Answer:
not a function
Step-by-step explanation:
This would not pass the vertical line test, so it is not a function
Answer:
This not a function
Step-by-step explanation:
Which theorem or postulate proves the two triangles are similar?
10
20
5
Not drawn to scale
SSS Theorem
AA Postulate
O AS Postulate
SAS Theorem
Answer:
sss i think
Step-by-step explanation:
uh im not 100% sure
how to graph (1.4) on a line; m is undefined
Answer:
hopefully this helpeddd
Step-by-step explanation:
please solve thanks
find the value of x.
Answer:
144
Step-by-step explanation:
5
Type the correct answer in each box.
Functions hand k are inverse functions, and both are defined for all real numbers.
Using this relationship, what is the value of each function composition?
(h o k)(3)=
(K o h)(-46)=
Answer:
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Step-by-step explanation:
Composition of a function and its inverse function returns the input
(h o k)(3)= 3
(K o h)(-4b)= - 4b
Answer:
[tex](h\circ k)(3)=3[/tex]
[tex](k\circ h)(-4b)=-4b[/tex]
Step-by-step explanation:
Remember that for two functions to be inverses, the following must be true:
[tex]h(k(x))=k(h(x))=x[/tex]
Since we know they are indeed inverses, they are true.
So, whatever input we put in, we'll just get it back out again.
So, for our first problem:
[tex](h\circ k)(3)[/tex]
We can rewrite this as:
[tex]=h(k(3))[/tex]
We can imagine our x being 3 here.
Therefore, using the above identity, we can conclude that:
[tex]h(k(3))=3[/tex]
For our second example, the same thing:
[tex](k\circ h)(-4b)[/tex]
This is the same as saying:
[tex]k(h(-4b))[/tex]
Again, using the above property, we can imagine our x is -4b. So, this will be equivalent to:
[tex]k(h(-4b))=-4b[/tex]
And we're done!
Cuánto es 5 2/3 - 11/12=
Answer:
4.75
Step-by-step explanation:
2) The foundations of any Euclidean geometry, at their most basic, exist on the principal concepts of which of
the following?
a) Undefined terms
c) Postulates
b) Theorems
d) Assumptions
Answer:
c im pretty sure but not 100%
Step-by-step explanation:
edge
Two rhombuses with the same side lengths are always congruent ?
Answer:
False
Step-by-step explanation:
A rhombus is a quadrilateral with
1. all side length equal
2. opposite side parallel
3. opposite angles are congruent.
______________________________________
If there are two rhombus with same side length ,
conditions so that they must be always congruent.
1. Side length must be equal
2. corresponding angles to equal sides must also be equal.
It is possible that the sides of two rhombus will be same
but their angles can differ and hence the two rhombus may or may not be congruent.
Thus,
Two rhombuses with the same side lengths are always congruent
given statement is false
Please help me asap
Answer:
-8d - 3 + 6 +d
you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the parenthesis
A recipe for homemade modeling clay includes 1/3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answer:
Step-by-step explanation:
If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;
1/3 cup of salts = 1 cup of water
6 cups of salt = x cups of water
cross multiply
1/3 * x= 6*1
x/3 = 6
multiply both sides by 3
x/3 * 3 = 6*3
x = 18
Hence 6 cups of salt will need 18 gallons of water
