giving 100 points and giving brainlest
For which value of b can the expression x2 + bx + 18 be factored?
A.
7
B.
3
C.
17
D.
-19
Answer:
7
Step-by-step explanation: (dont trust me)
x^2 + (7)x +18
x(x + 4) + 3(x + 6)
Answer:
See the attachment for what goes on your X diagram.
Rewrite: x² -7x +4x -28
Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)
Step-by-step explanation:
The given quadratic is ...
... x² -3x -28 . . . . . a=1, b=-3, c=-28
a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.
The value at the bottom of the X diagram is the coefficient b = -3.
The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...
(-7)·(4) = -28
(-7)+(4) = -3
b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...
... x² -3x -28
... = x² +(-7+4)x -28
... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28
c) We can group pairs of terms in the rewritten expression and factor each pair.
... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4
... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)
... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28
_____
Comment on extended application
When a ≠ 1, there are a couple of additional steps. Effectively, you reduce the fractions ax/p and ax/q to a'x/p' and a''x/q'', then rewrite those as the factors (a'x+p')(a''x+q'') where the ' and '' numbers are after reducing the fractions. (The numbers may be the same as the original if the fraction cannot be reduced.) As a check, a'·a'' = a, and p'·q'' = c.
What is the perimeter of a square with a length of 19 meters?
Answer:
76 m
Step-by-step explanation:
If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m
what is the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1)?
Answer: The other point is (17, -6).
Step-by-step explanation:
Midpoint (x,y) of the line segment joining (a,b) and (c,d) is given by :-
[tex](x,y) =(\dfrac{a+c}{2}, \dfrac{b+d}{2})[/tex]
Here, we need to find the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1).
Let other point be (a,b), then
[tex](7,1)=(\dfrac{-3+a}{2},\dfrac{8+b}{2})\\\\\Rightarrow\ \dfrac{-3+a}{2}=7\ \text{ and }\dfrac{8+b}{2}=1\\\\\Rightarrow\ -3+a = 7\times2 \text{ and } 8+b=1\times2\\\\\Rightarrow\ -3+a=14\text{ and }8+b=2\\\\\Rightarrow\ a=14+3, \ \ \ b= 2-8\\\\\Rightarrow\ a=17, b= -6[/tex]
hence, the other point is (17, -6).
Pleasse Helppp Asapppp.
Answer:
77 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees
subtract 103 from 180 to get 77 degrees
Complete each statement with a number that makes the statement true.
_____ < 7°C
Do not include units (°C) in your answer.
copied for free from openupresources.org
Select one:
15
8
4
10
Answer:
4
Step-by-step explanation:
the answer is: 4
cause 4 is less than 7
Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?
Step-by-step explanation:
sin2x - sinx = 0
2sinxcosx - sinx = 0
(Double Angle Formula)
sinx(2cosx - 1) = 0
Either sinx = 0 or cosx = 1/2.
When sinx = 0,
x = 0 or x = π.
When cosx = 1/2,
x = π/3 or x = 5π/3.
Hence the solutions are
x = 0, x = π/3, x = π or x = 5π/3.
Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6
Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5
Answer:
y = 0 and y = -3
Step-by-step explanation:
The horizontal asymptote of each graph is:
1. y=0
2. y= -3
What is asymptote?An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
1.Given function:
t(x)= [tex]6^{x}[/tex]
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0
Hence, the asymptote will by y=0.
2. Given function:
t(x)= [tex]5^{x}[/tex]-3
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3
Hence, the asymptote will by y=-3.
Learn more about asymptote here:
https://brainly.com/question/4608493
#SPJ2
To be able to go on a trip to South America, Salma decides to save for 2 years. She opens a savings account with $700 . The account pays simple interest at an annual rate of 5% . She doesn't make any more deposits.
(a) How much total interest will Salma earn?
(b) What will the total amount in the account be (including interest)?
Answer:
(a) I'm pretty sure it's $71.75
(b) the total would be $771.75 if i calculated it right...
in Square W XYZ.PW = 7. w X What is the square's perimeter? • 282 units Р 49 units 098 units Z Y O • 1472 units 3 4 5 6 7 8
Answer: Like I said it is either A or B
Answer[tex]Answer is A[/tex]: A 28/2
Step-by-step explanation: Took the test.
look at screenshot and answer question
Answer:
32x +20
Step-by-step explanation:
Answer:
32x+20
Step-by-step explanation:
If you use distributive property you would multiply each number by 4. 4 times 8x is 32x and 4 times 5 is 20, and when you put those together you get 32x+20!
I hope this helps, and have a great day!
Sam had 1 1-2 m of rope. He cut off 5-8 m and used it for the project. How much does Sam have left
3. A computer is priced at $65,000 plus value added tax at 15%. What amount does the computer actually cost the customer?
Answer:
$74,750
Step-by-step explanation:
Given that,
The cost of a computer = $65,000 + value added tax at 15%
We need to find the amount the computer actually cost the customer.
Total cost = Cost of computer + VAT at 15%
[tex]=65000+65000\times \dfrac{15}{100}\\\\=\$74,750[/tex]
So, the computer actually cost the customer is $74,750.
How many ounces are equal to 7 pounds?
Answer: 112 ounces
Answer:
Why did you7 ask a question then anwser it yourself
Step-by-step explanation:
How many kilometers are there in 4 miles?
Hint: 1 mi ≈ 1.6 km
Round your answer to the nearest tenth.
A Solution of the equation,
3x2 + 2x + 1 = 0 is
Answer:
x = -3.5
Step-by-step explanation:
POE = PROPERTY OF EQUALITY
3*2 + 2x + 1 = 0
6 + 2x + 1 = 0 ## ^ Multiplication
7 + 2x = 0 ## ^ Combine like-terms
2x = -7 ## ^ Subtraction POE
x = -3.5 ## ^ Division POE
Answer:
X=0
Step-by-step explanation:
Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.
Need help ASAP
Thanks+ BRAINLIST only for correct answers
I'm sure it's scatter plot b
What is the slope of the line y=8?
Answer:
undefined or 0
Step-by-step explanation:
Answer:
The answer is 0 because undefined is straight up or vertical
What is the value of y
i need help with this. im confused.
Find the slope of the line from a graph! Will Give brainliest :)
Answer:
-4
Step-by-step explanation:
because the line is going from top to bottom it is negative
you take the rise ( the Y value) / the run (the X Value)
the Y and X value can be pulled from any two points
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answer:
a
Step-by-step explanation:
Which number would make this number sentence true? (3 + 2) x ? = 5 x 8
Answer:
8
Step-by-step explanation:
3+2=5
5 x 8 = 5 x 8
Answer:
8
Step-by-step explanation:
2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is
40 so 8 would be the correct answer
If 6x+3y=−1 and
5x+y=8 are true equations, what would be the value of
−x−2y?
Answer: 9
x = 2.778
y = -5.889
-x -2y
= -2.778 - 2(-5.889)
= 9
25 x 10^9 in standard form
Answer:
25000000000
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 6y = 54
What is the equation of the line with slope 3/5 through the point (20, 6)?
A rectangular parking lot has an area of 1650 yd.² the length of the parking lot is 55 yards what is the width of the parking lot in yards
Answer:
The width of parking lot is 30 yards.
Step-by-step explanation:
Given that:
Area of rectangular parking lot = 1650 yards square
Length of parking lot = 55 yards
Width of parking lot = x yards
Area of rectangle is given by:
A = Length * Width
1650 = 55x
Dividing both sides by 55
[tex]\frac{55x}{55}=\frac{1650}{55}\\x=30[/tex]
Hence,
The width of parking lot is 30 yards.
a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Based on the graph, how many labels are produced per minute?
50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute
Answer:
150 labels/ minute
Step-by-step explanation:
As you can see on the graph there is a point on (1,1 1/2)=150/1
Also 150*2=300 so it all makes sence
Which statement best describes what happens when k is changed from 2 to – 3
can you pls help me i really need help
Answer:
UMM SO IM NOT CERTIAN BUT IMMA DO MY BEST
Step-by-step explanation:
SO 1 WOULD BE: 12X1.5 AND THATS 18
AND 2 IS: 16X1818 AND THATS 29088
AND THREE IS: 28 DIVIDED BY 4 WHICH IS 7
AND THEN 4 IS: 32 DIVIDED BY 8 WHICH IS 4