2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x + 2)
B. -7(x-6)(x + 1)
C. -1(7x-9)(x + 2)
O D. (-7x+ 9)(x-2)
SUBMI
Answer:
C
Step-by-step explanation:
Factor: -7x^2 -5x+18
Factor -1 out of 7x^2 -5x +18:
−(7x^2+5x−18)
Factor.
1. 18 is negative, so a negative number multiplied by a postive number.
2. You can't factor 7, so 7x times x.
(7x−9)(x+2)
Answer: the correct answer is C
Step-by-step explanation:
Work out the value of n 1/4 × √ 2 = 2 n | 1/4 is a fraction
Answer:
n = √2/8
Step-by-step explanation:
1/4 × √ 2 = 2n
√2/4 = 2n
√2 = 4×2n
8n = √2
n = √2/8
The value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is n = √2 / 8
The given equation is:
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
Multiply through by 4
[tex] \sqrt{2} = 4(2n)[/tex]
This can be further simplified as
[tex] \sqrt{2} = 8n[/tex]
[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]
The like terms cancel out
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Therefore, the value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Learn more here: https://brainly.com/question/2956399
PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to
a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
The question is incomplete.
Complete Question
Correct 36.2598 to
a) to one decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
Answer:
a) to one decimal place = 36.3
b) To the nearest hundredth= 36.26
c) to nearest 0.001 = 36.260
d) to the nearest whole number = 36
Step-by-step explanation:
From the question, we are to round up 36.2598 to the following:
a) to one decimal place.
Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,
36.2598 to one decimal place = 36.3
b) To the nearest hundredth:
Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,
36.2598 to the nearest hundredth = 36.26.
c) to nearest 0.001
Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.
This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.
Therefore,
36.2598 to the nearest 0.001 = 36.260
d) to the nearest whole number
Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.
For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.
36.2598 to the nearest whole number = 36.
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)
Answer:
14.86 knots.
Step-by-step explanation:
Given that:
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]
so, the total distance between the two boats is 74.28 units.
Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]
[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answer:
positive
Step-by-step explanation:
due in 5 min need help please ?
Answer:
x = 1
Step-by-step explanation:
This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.
Answer:
X=1
Step-by-step explanation:
In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answer:
250
Step-by-step explanation:
245 / 0.98 = 250
how do I find the radius
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.
Since the given section is a Sector of a Circle with length as, 8πcm .
Thus then it's folded veltically at an axis to make a cone.
since we know that, The Curved surface area of a cone is given as formula,
C.S.A = πrl
where, r = radius and l = slant height.
also 2πr = circumference of a circle,
we get as, radius = 4 cm.
Answer:
r = 4 cm
Step-by-step explanation:
AB is actually the circumference of the circle
So,
Circumference = 8π cm
Whereas,
Circumference = 2πr
8π = 2πr
Dividing both sides by 2π
=> r = 4 cm
What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?
Answer:
8
Step-by-step explanation:
8 is greater than 7
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
I need help thank you!!
Answer:
1
Step-by-step Explanation
Step-by-step Explanation
[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]
Someone please help me it’s 20 points please help!!!
Answer:
[tex]g(1)=1[/tex]
Step-by-step explanation:
Use just the definition for the appropriate section of the Domain that includes x=1,
that is the third definition:
[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]
Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
[tex] \end{center} [/tex]
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
Learn more about the function here,
brainly.com/question/5245372
#SPJ2
Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5
Answer:
A. 2x + 15
Step-by-step explanation:
3(2x + 5) - 4x =
= 6x + 15 - 4x
= 2x + 15
Answer: A. 2x + 15
Answer:
2x +15
Step-by-step explanation:
3(2x + 5) − 4x
Distribute
6x + 15 -4x
Combine like terms
2x +15
Find the value of x. Give reasons to justify your solution. C ∈ AE
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)Answer:
11 degrees
Step-by-step explanation:
Ur welcome
these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x
Answer:
Option A.
Step-by-step explanation:
We need to find a table for which the y-value will be the greatest for very large values of x.
From the given table it is clear that the largest value of x in all tables is 5.
In table A, y=64 at x=5.
In table B, y=32 at x=5.
In table C, y=40 at x=5.
In table D, y=13 at x=5.
It is clear that 64 is the greatest value among 64, 32, 40 and 13.
It means table in option A represents the function for which the y-value will be the greatest for very large values of x.
Therefore, the correct option is A.
Answer:
Option A
Step-by-step explanation:
Took the quiz
On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D
Answer: Graph C
Step-by-step explanation:
The correct graph is C.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given : On a piece of paper, graph y - 3 > 2x + 2.
To find : determine which answer choice matches the graph you drew,
y - 3 > 2x + 2
y > 2x + 5
x = 0
y > 5
x = - 3
y > - 1
at x = 0, y = 5
0 < 5
origin does not lie in the shaded region,
as y > 2x + 5
line y = 2 x+ 5 is not part of solution (dotted line)
Hence Graph C is correct
Learn more about linear inequalities click;
brainly.in/question/14103805
#SPJ7
Help pls!!1!___________
Answer:
1.08*10^11
Step-by-step explanation:
how many more it means you need to subtract :
in year 1965 : 7.2*10^10
in 1995 :1.8*10^11
(1.8*10^11)-(7.2*10^10)
18*10^10-(7.2*10^10)=
10.8*10^10 or 1.08*10^11
3
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)
Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
DistanceIf a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:
[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
Find out more on Distance at: https://brainly.com/question/17273444
AWARDING FIRST CORRECT ANSWER WITH BRANLIEST
Answer:
[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]
Answer:
(8x+y)(2x+3y)
Step-by-step explanation:
see attached
17T 13lb 3oz − 9T 20lb 9oz
→Answer:
8T - 7lb - 6oz
→Step-by-step explanation:
So 17T 13lb 3oz - 9T 20lb 9oz
This information is asking us to simplify the expression.
To do that we need to combine like terms meaning If t and t are alike variables they go together.
And in this expression we have 3 pairs of alike variables which are T, lb, and oz.
So we need to subtract all the like terms.
_____________
17T - 9T is 8T
13lb - 20lb is -7lb
3oz - 9 oz is -6oz
______________
So,
The expression now shows 8T - 7lb - 6oz.
___________________I do hope this helps!________________
_____________Brainliest is always appreciated!_____________
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 8
b) 9
c) 10
d) 11
e) 12
In my view option D but it can be wrong
Please help me match these formulas thank you :)
Answer:
Circle Circumference: 5
Triangle: 8
Circle Area: 3
Regular Polygon: 7
Parallelogram:6
Equilateral triangle: 1
Trapezoid:4
Rectangle:2
Step-by-step explanation:
I don't know how I would do a step by step explanation
Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.
Answer:
Volume = 1114.1 [tex]in^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]
Finally,we can now write the volume of the pyramid as:
[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1 [tex]in^3[/tex]
In a class of c children,2/5 are boys What fraction are girls?
Hello! :)
________ ☆ ☆______________________
Answer:
3/5
Step-by-step explanation:
Here is the work:
You only have to subtract and you will get your answer.
5/5-2/5=3/5
We know 1 whole equals to 5/5, and there is 2/5 boys
So there will be 3/5 girls
Hope this helps! :)
_________ ☆ ☆________________________
By, BrainlyMember ^-^
✨ Good luck! ✨
Answer: 3/5c
Step-by-step explanation:
2/5 is 40%. 100-40=60. Thus, 60% of c, or 3/5c are girls.
Hope it helps <3
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation: