Answers
Answer:
k = -7
Step-by-step explanation:
Given
x² - x - 42 = (x + k)(x + 6)
Required
Find k
x² - x - 42 = (x + k)(x + 6)
Expand the left hand side
x²-7x + 6x - 42 = (x + k)(x+ 6)
Factorize
x(x - 7) + 6(x- 7) = (x + k)(x+ 6)
Further factorize
(x - 7)(x + 6) = (x + k)(x + 6)
By comparison
x + k = x - 7
Subtract x from both sides
k = -7
Related Questions
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answers
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
please help, thanks :)
Answers
Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
Estimate: 23.41 ÷ 3.1
Answers
Answer:
The answer is 8
The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.
I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
Answers
True
Divide by -4 on both sides and you're left with x=7
PWEASE HELP :( NOW BEG YOU
Answers
Answer:
Step-by-step explanation:
BRAINLIEST
please help and leave a small explanation:)
Answers
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
Evaluate w + 2w + 1 when w equals 8.
Answers
Answer:
25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
w + 2w + 1
w = 8
Step 2: Evaluate
Substitute in w: 8 + 2(8) + 1Multiply: 8 + 16 + 1Add: 24 + 1Add: 25can someone help me find answer.
Answers
Answer:
Your answer is 7 meters.
Answer:
A coral reef grew 7 meters.
Step-by-step explanation:
The prefix "milli" before any standard unit such as meters, grams, or seconds and etc., It means it takes 1000 milli units to make 1 standard unit. Example:
1 meter= 1 millimeters.
To solve this problem you need to cross multiply:
7000 millimeters 1 meter
multiply = 7 meters
1 month 1000 millimeters
Units that are the same and diagonal from each other cancel out.
So the answer is: Last month, A coral reef grew 7 meters.
16,80, 400,...
Find the 6th term.
Answers
Answer:
Step-by-step explanation:
50,000
I think
5) What is the product of prime numbers immediately before and after 50?
Answers
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
Hey would someone help me with my math question ?
Answers
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
5) Eastwood Middle School wants to paint the football field black, but not the
center.
The diagram below shows the dimensions of the field and center circle.
How much area will they need to paint black?
SHOW ALL WORK
Eastwood's Football Field
30 ft
75 ft
-100 ft-
04674 sq ft
O 706,6 sq ft
7500 sqft
6793.5 sq ft
Answers
WILL MARK BRAINLYIST
Answers
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
1/4(12x - 16) = 4 is equivalent to 3x - 16 = 4
Answers
Answer:
False, it's equal to 3x-4
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Please solve
8-6(x-3) >-4x+12
Answers
Answer:
7 > x
Step-by-step explanation:
8-6(x-3) > -4x+12
Multiply 6 with the ones in the paranthesis:
8-6x+18 > -4x+12
Simplify numbers:
26-6x > -4x+12
Do the balance method:
12-26 > -6x+4x
-14 > -2x
Simplify to x:
-14/-2 > -2x/-2
7 > x
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8-6(x-3) >-4x+12 Equation/Question
Step 2
8-6(x-3) >-4x+12 Simplify
-2x+26>12
Step 3
-2x+26>12 Subtract
-2x>-14
Step 4
-2x>-14 Divide
answer
x<7
Find the slope of the line (1,6) and (-3,0)
Answers
Answer:
slope= 3/2
Step-by-step explanation:
y2-y1/x2-x1=slope
0-6/-3-1= -6/-4 or 3/2
Answer:
(1, 6) is 1 quadrant and (-3, 0) is 2nd quadrant
A string 60 inches long is to be laid out on a tabletop to make a rectangle of perimeter 60 inches. Write the width of
the rectangle as 15 + x inches. What is an expression for its length? What is an expression for its area? What value
for x gives an area of the largest possible value? Describe the shape of the rectangle for this special value of x.
Answers
Answer:
Okay
Step-by-step explanation:
Hope this helps
Enjoy ur day
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
What is Perimeter of a rectangle?
The perimeter of a rectangle with length L and width W is defined as;
Perimeter = 2 (L + W)
Given that;
Total length of string = 60 inches
Perimeter of rectangle = 60 inches.
Now,
a) When the width of rectangle is 15 + x inches.
Then, Expression for its length is calculated as;
Perimeter of rectangle = 2 ( length + width)
60 = 2 ( length + (15 + x) )
Divide by 2,
30 = Length + 15 + x
Length = 30 - 15 - x
Length = 15 - x
So, An expression for its length will be (15 - x) inches.
b) Length of rectangle = (15 - x) inches
Width of rectangle = 15 + x inches
Then, Area of rectangle = Length x width
Area of rectangle = (15 - x) × (15 + x)
Area of rectangle = 15² - x²
Area of rectangle = 225 - x²
Thus, An expression for the area of rectangle will be (225 - x²) inch².
c) When all sides of a rectangle is equal to each then, the area of a rectangle is maximum.
So, We can formulate,
Length = width
15 - x = 15 + x
2x = 15 - 15
2x = 0
x = 0
Hence, At x = 0 the rectangle has maximum area.
d) When x = 0,
Then, The sides of a rectangle are equal.
This imply that the shape of a rectangle will be square.
Therefore,
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
Learn more about the rectangle visit:
https://brainly.com/question/28684467
#SPJ5
if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions
Answers
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
help me ill give you 10 points
Answers
Answer:
a) 4:6= 2:3 or 2/3 or .666666
b) 10:4= 5:2 or 5/2 or 2.5
Step-by-step explanation:
Solve the equation:
- 6n = 2 3/4
Answers
Answer:
n= 11/24
Step-by-step explanation:
hope it helps
On the average it takes the factory 4.2 hours to produce 6 truckloads of steel how many truckloads would the factory produce in 7 hours ?
Answers
Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Answers
Step-by-step explanation:
The given equation :
x + (negative 8) = 3 x + 6.
or
x+(-8) = 3x+6
Step 1.
Add (-3x) to both sides of the equation.
x+(-8) + (-3x) = 3x+6 +(-3x)
x-8 = 3x +6
Step 2.
Add 8 positive unit tiles to both sides and create zero pairs.
x-8+8 = 3x +6 +8
x = 3x +14
Step 3.
x-3x = 14
-2x = 14
x = -7
Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.
Answer:
Step 2
Step-by-step explanation:
-11f=7(1-2f)+5 solve for f
Answers
Answer:
4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
f = 4
Answer:
f = 4
Step-by-step explanation:
I got this answer ON Khan Academy.
Hope this helps! :)
PLS help whats 800000000.0%x9000000.0%=p\
Answers
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
I will give brainiest to whoever answers correctly !!
Answers
Answer:
March 19th
Step-by-step explanation:
Starting at November 20th, There are 10 days until the start of December
110 days left
December has 31 days
79 days left
January has 31 days
48 days left
February on a leap year has 29 days
19 days left
The load will be due on March 19th
Which of the following best describes the expression 6(y + 3)?
Please !
Answers
Answer:
The product of a constant factor of six and a factor with the sum of two terms
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answers
Answer:
august 1st
Step-by-step explanation:
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answers
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
HELP AGAIN PLSSSSSSSS
Answers
5 x 5= 25
Answer:
5x5 = 25
hope this helps (again) :D
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?
Drag the answers into the boxes to correctly complete the statements.
The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.
Answers
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10