Answers
Answer:
[tex]f(x)=-(x+8)(x-2)[/tex]
Step-by-step explanation:
Start by factoring out a -1...
[tex]f(x)=-(x^2+6x-16)[/tex]
Now, we have to find two integers that multiply to get -16 and have a sum of 6:
(-2)*8=-16
-2+8=8-2=6
Using this, we can split 6x into -2x and 8x...
[tex]f(x)=-(x^2-2x+8x+16)[/tex]
Factor the first and second half separately...
[tex]f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\[/tex]
Since both x and 8 are being multiplied by x-2, we can combine them to get...
[tex]f(x)=-(x+8)(x-2)[/tex]
Related Questions
Find the sum of 29,the product of 2and 9 and the differences between 2and 9
Answers
Answer:
11, 18, -7
Step-by-step explanation:
Sum: 2 + 9 = 11
Product: 2 x 9 = 18
Difference: 2 - 9 = -7
What is the 20th term for the sequence 3,7,11,15…..
Answers
Add the original number 3
80+3=83
83 is your answer
Answer:
79
Step-by-step explanation:
Keep adding 4 since the common difference is 4
3,7,11,15,19,23,27,31,35,39,43,47,51,55,59,63,67,71,75,79
Simplify the following expression:
4x-5.2y+6y+7.0x-8x
Answers
Answer:
3x + 0.8y
Step-by-step explanation:
1- Reorder and gather like terms
2- Collect coefficients of like terms
3- Calculate the sum or difference
Renaldo increased the image size on the computer screen by 20%. By
what percent did the area of the image increase?
Answers
Answer:
44%
Step-by-step explanation:
100 + 20 = 120/100
(1.2)^2=1.44
144 - 100 = 44%
5/2=d-2/4 i need help with this please answer quickly
Answers
Hᴇʟʟᴏ Bʀᴀɪɴʟɪᴀɴs !!
1) A car moves with a speed of 40 km/h for 15 mins and then with a speed of 60 km/h for next 15 mins . The total distance covered by the car is : _________
(a) 100km. (b) 25km
(c) 15km. (d) 10km
• Don't spam
• Need Genuine Answer with Explanation .
Answers
Answer:
25 km
Explanation:
Distance = speed * time
We have change time which are given in minutes to hour. As the speed is mentioned in kilometre per hour.
For part A:
[tex]\rightarrow Distance = speed * time[/tex]
[tex]\hookrightarrow Distance = 40 * \frac{15}{60}[/tex]
[tex]\hookrightarrow Distance = 10[/tex] km
For part B:
[tex]\rightarrow Distance = speed * time[/tex]
[tex]\hookrightarrow Distance =60 * \frac{15}{60}[/tex]
[tex]\hookrightarrow Distance = 15[/tex] km
Total distance covered:
part A + part B
10 km + 15 km
25 km
25 km
Solution :-Speed of the car in first 15 mins ,
The car is moving in the speed of 40 km/h for 15 mins.
Distance covered = speed × Time taken Distance covered = 240 × 15/60 = 10 kmSpeed of car in next 15 mins ,
again ,
distance covered = 60 × 15/60 = 15kmnow , total distance covered = ( 10 + 15 ) km = 25 km
Hope it helps~
Enrique took his family out for dinner. He planned to leave a 15% gratuity on the bill. What is the total cost if the bill was $123.50?
Answers
Answer:
$142.03
Step-by-step explanation:
15% Gratuity on the Bill=
$123.50 X 0.15 =$18.525
Add this to the bill cost to find the total cost.
$123.50+$18.525
=$142.03
how are the two coin stacks different from each other?
does either stack of coins resemble a geometric solid? if so which stack and what solid?
how do the heights of the two stacks compare?
how do the volume of the two stacks compare? explain your reasoning.
Answers
Question 1
You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).
--------------
Question 2
The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.
--------------
Question 3
The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.
--------------
Question 4
The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.
Algebra 1
> J.8 Find the number of solutions KBP
How many solutions does this equation have?
3m + 1 = 3m - 4
no solution
one solution
infinitely many solutions
Answers
3m - 3m = -4 -1
the “m” cancels itself out so there is no remaining “m” to work out so there is no solution
Determine if the statement is true or false.
11 = 4 (mod 7)
Answers
Answer:
false
Step-by-step explanation:
11 ≠ 4
11=11
4=4
A side of the triangle below has been extended to form an exterior angle of 132 find the value of x
Answers
Answer: X=57
Step by Step Explination: 132 divided by X is 57 which means 57 is X if they can make a problem
1. D
100
2. M
1
3. C
500
4. I
10
5. V
50
6. L
5
7. X
1,000
Answers
Hi there!
I will help you with joy!
Arabic numbers - 1, 2, ..., 10,..; Roman numerals: I, II, ... X, ..
Match the Arabic numerals to Roman numerals.
I = 1
V = 5
X= 10
L = 50
C=100
D=500
M = 1,000
Hope it helps!
Enjoy your day!
Ask me if you have any questions.
~Misty~
Answer:
Could you rephrase the question
Step-by-step explanation:
Please explain how to do this! My percentage is supposed to be 50% complete with the class so far, but im only at 35%. Thank you. "Proving Pythagorean theorem"
Answers
Answer: 28
Step-by-step explanation:
[tex]\sqrt{8^2} -\sqrt{6^2} =\sqrt{?}[/tex]
[tex]\sqrt{64}-\sqrt{36} =\sqrt{?}[/tex]
[tex]\sqrt{64-36} = \sqrt{?}[/tex]
[tex]? = 64 - 36[/tex]
[tex]? = 28[/tex]
a sound is sent at the bottom of a pond if echo is heard after 6 seconds calculate the depth of the pond .the speed of sound I'm water is 1498m/s
Answers
Answer:
Depth of the pond: 4494 m
Explanation:
if echo is heard after 6 seconds, it takes 3 seconds to reach to bottom of pondso time will be 3 seconds and speed given 1498 m/sSteps:
distance = speed * timedistance = 1498 * 3distance = 4494 mQuestion:
Solve for x
(x+3)^2
Answer Choices:
2x^2 + 3x + 2
x^2 + 6x + 9
Answers
Answer:
x^2+6x+9
Step-by-step explanation:
(x+3)^2=
(x+3)(x+3)=
x^2+3x+3x+9=
x^2+6x+9
A) 3x - y = -4
5x - y = -8
B) 3x - y = -4
5x + y = -8
C) 3x + y = -4
5x - y = -8
D) 3x + y = -4
5x + y = -8
Answers
Answer:
D) 3x + y = -4
5x + y = -8
Step-by-step explanation:
pls help! XZKH ~ RBCP. Complete the statement below.
∠Z≅ ?
Answers
Answer:
∠Z ≅ ∠B
Step-by-step explanation:
∠X ≅ ∠R
∠Z ≅ ∠B
∠K ≅ ∠C
∠H ≅ ∠P
Hope this helps!! :)
Answer:
∠Z ≅ ∠B
Step-by-step explanation:
Z is congruent to B
Can someone help me in 5-66 pls
Help me please
Answers
Answer:
a) (2,9); b) no points of intersection
Step-by-step explanation:
a)
Set the two equations equal to each other
7x - 5 = -2x + 13
Rearrange collecting like terms and solve
9x = 18
x = 2
Sub in x = 2 into either of the equations and it should yield the same result
Eq.1 y = 7(2) - 5 = 9
Eq.2 y = -2(2) + 13 = 9
Therefore the point of intersection is (2,9)
The graph confirms this result (see graph 1 with red and blue lines)
b)
As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.
3x - 1 = 3x + 2
When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides
-1 = 2
This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)
A box contains 4 blue pens and 5 red pens. Gus randomly picks a pen
from the box and keeps it. Then Emma picks a pen from the box and keeps it. What if the probability both students will pick a blue pen pls hurry and will give the brainiest
Answers
Answer: 12/81 or 15%
Step-by-step explanation:
If you want an explanation you can ask
Find the perimeter and area of the figure pictured below.
Answers
Perimeter of the figure = 26.5 m
Area of the figure = 59.68 m².
What is the Perimeter of a Figure?Perimeter of a figure is the length around the borders of the figure.
Find the Perimeter of the Figure:
Perimeter = 3.9 + 7.4 + 10.6 + 4.6 = 26.5 m
Area of the Figure:
Decompose the figure into two rectangles, rectangle 1 and rectangle 2.
Area of rectangle 1 = length × width = 10.6 × 4.6 = 48.76 m².
Area of rectangle 2 = length × width = 3.9 × (7.4 - 4.6) = 10.92 m².
Area of the figure = 48.76 + 10.92 = 59.68 m².
Learn more about perimeter and area of a figure on:
https://brainly.com/question/10061869
Ten years ago the father was six times as old as his daughter. After ten years, he will be twice as old as his father . Determine their present age ..
Answers
Let
10years ago
Daughter's age=xFather's age=6x10years after
Daughter's age=x+20Father's age=6x+20ATQ
[tex]\\ \tt\hookrightarrow 6x+20=2(x+20)[/tex]
[tex]\\ \tt\hookrightarrow 6x+20=2x+40[/tex]
[tex]\\ \tt\hookrightarrow 4x=20[/tex]
[tex]\\ \tt\hookrightarrow x=5[/tex]
Father's present age=6x+10=6(5)+10=30+10=40yrsDaughter's present age=x+10=5+10=15yrs▪︎If ten years ago , the age of daughter was x years , then , ten years ago the age of her father was 6x years ▪︎
Present age of father = ( 6x + 10 ) years Present age of the daughter = ( x + 10 ) yearsTen years after ,
Father's age = ( 6x + 10 + 10 ) years => ( 6x + 20 ) years Daughter's age = ( x + 10 + 10 ) years => ( x + 20 ) yearsAccording to the question,
▪︎6x + 20 = 2 ( x + 20 )
6x + 20 =! 2x + 40 6x - 2x = 40 - 40 4x = 20 x = 5Therefore , Present age of the Father = 6x + 10 = 6 × 5 + 10 = 40 years and present age of the daughter,
x + 10 = 5 + 10 = 15 yearshence , the age of his daughter is 15 years
Hope it helps ~
I- $8,950
R- 6.85%
T- 6 years
Answers
Answer:
$4,368
Step-by-step explanation:
This is compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + R ) ^n
100
where p = principal ($8,950)
a = amount (?)
r = interest rate (6.85%)
n = time ( no of years) (6)
A = 8,950 ( 1 + 6.85 ) ^6
100 A = 8,950 ( 1 + 0.0685) ^6
A = 8,950 ( 1.0685) ^6
A = 8950 x 1.4881 A = 13,318
WE THEN FIND COMPUND INTEREST C = A MOUNT - PRINCIPAL
13, 318 - 8950 = $4,368
Can someone please help with this math question:)
Answers
Solution:
The rationalisation factor for [tex] \frac{1}{ a - \sqrt{b} }[/tex] is [tex]a + \sqrt{b} [/tex]
So, let us apply it here.
[tex] \frac{1}{5 - \sqrt{2} } [/tex]
The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have
[tex] = \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23} [/tex]
Answer:
[tex] \frac{5 + \sqrt{2} }{23} [/tex]
Hope you could understand.
If you have any query, feel free to ask.
Answer:
[tex]\frac{5+\sqrt{2} }{23}[/tex]
Step-by-step explanation:
To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.
the conjugate of 5 - [tex]\sqrt{2}[/tex] is 5 + [tex]\sqrt{2}[/tex] , then
= [tex]\frac{1(5+\sqrt{2}) }{(5-\sqrt{2})(5+\sqrt{2}) }[/tex] ← expand denominator using aFOIL
= [tex]\frac{5+\sqrt{2} }{25-2}[/tex]
= [tex]\frac{5+\sqrt{2} }{23}[/tex]
Maria bought 125 pounds of lunch meat for $3.36. How much would234 pounds of lunch meat cost?
Answers
Answer:
$6.6
Step-by-step explanation:
This is what we know:
You can say that they are proportional because there is a unit price for each pound.
There are a couple of ways to do this but I'll show you this one:
Ratio and proportion:
Step-by-step explanation:
https://brainly.com/question/2438420
answer is x= 6.6
Solve the following system of equations graphically on the set of axes below.
y= 3x-6
y= -1/2x+8
like how would you graph this because it is on delta math
I really need help
Answers
Answer:
{ 3x - y = 6
{ x + 2y = 16
Step-by-step explanation:
1- Simplify
*The Graph is in the attachment, hope this helps :)
please help me please
Answers
Answer:
first was the tan4cot
second was (-g,f)
4
3
Find the exact length of the third side
Answers
help with all parts please
Answers
Hey there mate!
Please check the attached image of question for the answer with explanation.
Hope it helps ...
A = 6 - 35 B = 3x + 53
Solve for x then find the measure of A.
Answers
Answer:
A = 73°
Step-by-step explanation:
A + B = 180 because of alternating interior angles
Substitute each angle
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
Substitute A
A = 6x - 35
A = 108 - 35
A = 73
Hope this helps
Have a great day!
Brad bought a total of 9 CD's and tapes. The CD's cost $7 each and the tapes cost $6 each. He paid a total of $58. How many of each did he buy?
I ONLY NEED THE EQUATION...I can get the numbers of cans and peas I just need the equations to find the numbers
This is Algebra....please help me!!
Answers
Answer:
Step-by-step explanation:
Let the number of CD's = c
Let the number of tapes = t
Total number of CD's and tapes = 9
c + t = 9 --------------- (i)
Cost of 'c' CD's = 7*c = 7c
Cost of 't' tapes = 6*t = 6t
Total cost = $ 68
7c + 6t = 58 -----------------(ii)
Multiply the first equation by (-6) and then add the equations.
(i)* (-6) -6c - 6t = - 54
(ii) 7c + 6t = 58 {Now add. here t will be cancelled}
c = 4
Number of CD's = 4
Plugin c = 4 in equation (i)
4 + t = 9
t = 9 - 4
t = 5
Number of tapes = 5