Answer:
f(x) = (x+5)(x-4)
Step-by-step explanation:
Key skills used in this problem: Quadratic equations, factoring
1) The equation x^2 + x - 20 is factorable (meaning it can be facttored easily)
2) We need to find factors of -20 that add up to 1. This is because our ac (a term times the c term) is -20 and our b term (the coefficient for +x) is 1.
3) The two factors would be 5 and -4.
4) So it would be (x + 5)(x - 4) when factored
Hope you understood and have a nice day!! :D
Answer:
f(x)= (x+5)(x-4)
Step-by-step explanation:
First muliply the coefficient of the xsquared with the constant, in this case 1 × -20 = -20. Then figure out two factors of -20 that equal the coefficient of the stand-alone x when added together. In this case, that coefficient is 1. Factors of -20 that add to 1 are 5 and -4. Now simply take each of those numbers and shove them into parenthesis with an x.
3. A student measures the time it takes for a sheet of paper to fall to the ground from a marked height. The student then crumples the same piece of paper and drops the paper from the same. What variable did the student change?
Answer:
independent variable is the shape of the paper
dependent variable is the time it takes to fall
what is the process of solving sequential pattern C,D,F,G,J,K,O,P,__
C, D, (skip E)
F, G, (skip H and I)
J, K, (skip L, M, and N)
O, P, ...
If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.
Find the quotient. Use a model to help you divide. 6.15 divided by 5
Answer:
The answer for this question is 1.23
which. values are solutions to the inequality below
x^2<144
a. 12
b.11
c.7
d.-20
e.-8
f.-12
Answer:
I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.
Answer:
b, c, and e since they're all less than 144 when squared. negative numbers will turn positive when squared and they're bigger than 144 so they're incorrect.
Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).
Unit vector along the direction v = <3,1,-4> is :
[tex]\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}[/tex]
So, unit vector opposing the [tex]\hat{v}[/tex] is :
[tex]\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}[/tex]
so, vector of magnitude 3 units in opposite direction from v is :
[tex]\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)[/tex]
Hence, this is the required solution.
Bag A contains 3 red balls and 3 blue balls.
Bag B contains 1 red ball and 3 blue balls.
A ball is taken at random from bag A and placed in bag
B. A ball is then chosen from bag B. What is the probability
that the ball taken from B is red?
Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:
[tex]p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}[/tex]
3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
Pls help with right answer pls
Answer:
fifths
Step-by-step explanation:
I believe it is fifths since there are 5 people in the family, each person can get 3/5 of the pumpkin bread making it equal with nothing left over.
A store is instructed by corporate headquarters to
put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Can someone help? It would be appreciated! ♡︎
Answer:
Find out the selling price.
To prove
As given
A store manager instructs his employees to mark up all the items by 25%. An item that the store bought for $16.
25% is written in the decimal form.
= 0.25
25% of the $16= 0.25 × 16
= $4
Selling price of the item = Original price of item + 25% of the $16
= $16 + $4
= $ 20
Therefore the selling price of the item is $20.
Step-by-step explanation:
I was gonna steal the points but you seem nice. Have a good day!
Solve 2/3 divided by 4/5
a.6/15
b.6/8
c.8/15
d.5/6
Answer:
d.5/6
Step-by-step explanation:
2/3÷4/5
2/3×5/4
5/6
Answer:
2/3÷ 4/5 is 5/6
.
Step-by-step explanation:
Perimeter is always measured in square units.
True
False
false
Step-by-step explanation:
the perimeter is all the sides added up whereas the area is length × width
area is measured in square units not perimeter
The perimeter does not measures in square units because area should be measured.
What is the perimeter?A perimeter refers to the closed path that encompasses or outlines and represents the two-dimensional shape or a one-dimensional length. The perimeter of a circle is known its circumference.
Therefore, we can say that the The perimeter does not measures in square units because area should be measured.
hence, it is false.
learn more about perimeter here: https://brainly.com/question/17211131
Find the surface area and volume of a rectangular prism formed by the net below. The length is 10 inches,
the width is 4 inches and the height is 5 inches.
h
W
Step-by-step explanation:
Surface area of rectangular prism
= 2lw + 2lh + 2wh
= 2(10)(4) + 2(10)(5) + 2(4)(5)
= 80 + 100 + 40 = 220 square inches.
Volume of rectangular prism
= lwh
= (10)(4)(5)
= 200 cubic inches.
find the value of x?!??????
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31
if
[tex]g(x) = - {4x}^{2} - 3x + 2[/tex]
determine g(-2).
Answer:
Its is right -8
Step-by-step explanation:
because put the value of x andalso know the multiply
-4 = r/20 -5
Solve for r. Show your steps
Answer:
r = 20
Explanation:
-4 = r/20 - 5
Simplify both sides of the equation-4 = r/20 - 5
-4 = 1/20r + -5
-4 = 1/20r - 5
Flip the equation1/20r - 5 = -4
Add 5 to both sides1/20r - 5 + 5 = -4 + 5
1/20r = 1
Multiply both sides of the equation by 20(20)1/20r = 1(20)
r = 20Identify the following number. Choose all that apply.
−9
Answer:
negative nine ?
Step-by-step explanation:
I don't understand
Answer:
-9 is the answer
The other choices I can think of is below
Step-by-step explanation:
X= -9
-|9|
Multiply: 14.3 x 0.5
Answer:7.15
Step-by-step explanation: You multiply it
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
the difference of a number squared and six
Answer:
x^2-6
Step-by-step explanation:
can u pls help me with this question
Answer:
15.58
Step-by-step explanation:
it is
Which ordered pair, when graphed, would not show a function?
(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
(number of employees, number of hours worked)
Answer:
a) miles per gallon, gallons in tankStep-by-step explanation:
All the options show functional relationship but the first one
a) miles per gallon, gallons in tank
There is no direct relationship between these parameters as miles per gallon depends on the speed and the way of driving. This won't be a function when graphed.b) length of shadows/time of day
Shadow depends on the time of the day and its length wont repeat at different angles. This is a function.c) temperature in F, temperature in C
This is a function as each input will have a unique output.d) number of employees, number of hours worked
Hours of work depends on number of employees. This is a functional relationship.Answer:
(number of employees, number of hours worked)
Step-by-step explanation:
This is an easy math question, I will give a lot of points.
Answer:
2.5 km/per hour
Step-by-step explanation:
do you want an explanation?
Hope it helps buddy.......
simplify the expression 5(a+3)
Answer:
5a + 15
Step-by-step explanation:
To simplify, simply distribute 5 to all terms within the parenthesis. Multiply in this case:
5(a + 3):
5 * a = 5a
5 * 3 = 15
5a + 15 is your answer.
~
Answer:
5a x 15
Step-by-step explanation:
distribute the five
1 cm = ________ g
need help asap plsss
Answer:
1 cubic meter is equal to 1000000 grams(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)
Step-by-step explanation:
[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]
~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]
~Like terms are those which have the same base. Combine the like terms :
⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]
⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]
Step-by-step explanation:
Key skills needed for understanding: Combining Like Terms
1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]
- Since you are adding here, you can remove the parentheses.
- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]
2) Now we have to combine like terms in order to simplify this equation.
Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing - these terms are numbers such as 9 or 5).
You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.
3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].
[tex]8a^2 - ab + 2b + 9[/tex] is the answer.
Hope you understood and have a nice day!! :D
simplyfy 0.064/0.84 and leave the answer in standard form
Answer:
0.07619047619.
Answer:7.619 x 10 -2
Step-by-step explanation
Standard form :)
00:00
What quotient does the model Nestor made represent?
0 3.21 + 3 = 1.07
0 1.47 + 7 = 0.27
0.21 + 7 = 0.03
0.81 - 3 = 0.27
Answer:
0.81-3=0.27
Step-by-step explanation:
0.81-3=0.27 it
It is similar to 3.21÷3=1.07 this is division
Tommy buys a new stereo that sells for $1052.75 plus taxes. At the time of the
purchase the taxes and a $40 deferral charge are paid. The selling price is paid in
12 monthly payments.
A) What is the total amount to be paid at the time of the purchase?
B) What is the amount of each monthly payment?
Answer: See explanation
Step-by-step explanation:
A. What is the total amount to be paid at the time of the purchase?
This will be the selling price of the stereo with the tax and the deferral. This will be:
= $1052.75 + $40
= $1092.75
B) What is the amount of each monthly payment?
Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:
= $1092.75 / 12
= $91.06
im doing some math homework and i have a question its there is a propotional relationship between the number of months a person had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is 47.94. The point (6,47.94) is shown on the graph below i need to take a picture of the graph to show you and the question is what is the constant of proportional in this relationship? can you help me its due today help
Answer:
The area of a square plot is 1600 meter square . The side of the plot is
Answer:
1600 metre square
........
Which expression is equivalent to the given expression?
6y−12
Answer:
it is 6(y-2)
Step-by-step explanation:
Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
Answer:
THE ANSWER IS 0.003