Answer:
Option C
Step-by-step explanation:
Given polynomial is,
x² - 3x - 18 = x² - 6x + 3x - 18
= x(x - 6) + 3(x - 6)
= (x + 3)(x - 6)
We can rewrite the polynomial in factored form as,
x² - 3x - 18 = (x - 6)(x + 3)
Therefore, (x - 6) will be one of the factors of the given polynomial.
Option (C) is the answer.
For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
2Girls:3Boys
Step-by-step explanation:
gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg
In which directions are the vertices translated, as indicated by matrix B?
3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
3 units in the x direction, 3 units in the y direction, 3 unit in the z direction
* 4 units in the x direction, 0 units in the y direction, 2 unit in the z direction
4 units in the x direction, 6 units in the y direction, 5 unit in the z direction
Answer:
A) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
Step-by-step explanation:
Edge2020
Answer: A.) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
Step-by-step explanation: edge 2023
What operation do you use to solve for sales taxes?
O addition
O subtraction
O multiplication
O division
Answer:
multiplication
Step-by-step explanation:
Subtract 36.12 − 3.76 = ______
Answer for Blank 1:
Answer:
32.36
Step-by-step explanation:
Answer:
32.36
Step-by-step explanation:
28 is 12 less than k. k=?
Answer:
40
Step-by-step explanation:
How many people i helped proves im right
Pls help, some question I already have the answer but its different from the book answer
You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Write the expanded form of this expression:
18y + 24
Answer:
I use an app called Cymath to figure these kind of problems out i think it will help get your answer, it goes down step by step to show how it works.
Step-by-step explanation:
Is y=-1/3x+2. 2=y+1/3x
Answer:
yes i think so
Step-by-step explanation:
The graph of a linear system is shown.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
( , )
Answer:
(1, 2)
Step-by-step explanation:
From the graph attached,
Two lines are representing linear system of equation.
Since, solution of any system of linear equations is a common point of the two lines.
In other words, point of intersection of these lines represent the solution of linear system of equations.
Solution of the linear system of equations → (1, 2)
You work for a carpet company. You sell carpets at these prices: 100 square feet for $67, 200 square feet for $130, 400 square feet for $240, and 800 square feet for $504. What is the best deal for buying carpet?
A.
100 square feet of carpet for $67
B.
200 square feet of carpet for $130
C.
400 square feet of carpet for $240
D.
800 square feet of carpet for $504
Answer:
Step-by-step explanation:
first one : 67/100 = .67 per sq feet
Second one: 130/200 = .65 per sq feet
Third one 240/400 = .6 per sq feet
Fourth one: 504/800 .63 per sq feet
so C is the best deal (C.
400 square feet of carpet for $240)
Tyler's brother works in a shoe store. He earns a commission. He makes 2.5% of the amount he sells. Last week he sold $900 worth of shoes. How much was his commission? (step by step explanation please)
Answer:
22.5
Step-by-step explanation:
multiply 900 by .025 to get 22.5.
When you multiply by a percentage to find an amount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you receive is the answer.. :)
8.3 + 3.5y − 0.5(16y − 5)
if x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?
Answer:
y = 6/(x - 8).
Step-by-step explanation:
z = k/y where k is a constant
2 = k/3
k = 6.
So z = 6/y
and x = 6/y + 8
Multiply through by y:
xy = 6 + 8y
xy - 8y = 6
y(x - 8) = 6
y = 6/(x - 8)
slove : 28/36 = 14/y
Answer:
y = 18
Step-by-step explanation:
i) reduce the fraction with 4[tex] \frac{28}{36} = \frac{14}{y} [/tex]
[tex] \frac{28 \div 4}{36 \div 4} = \frac{14}{y} [/tex]
[tex] \frac{7}{9} = \frac{14}{y} [/tex]
ii) simplify the equation with cross multiplication[tex] \frac{7}{9} = \frac{14}{y} [/tex]
[tex]7y = 14 \times 9[/tex]
[tex]7y = 126[/tex]
iii) divide both sides of the equation by 7[tex] \frac{7y}{7} = \frac{126}{7} [/tex]
[tex]y = 18[/tex]
Answer:
Step-by-step explanation:
Apply proportions
y =(36*14)/28 = 18
Find the VALUE or EVALUATE 62 + 5b when b = 3. (HINT: 62 means 6 X 6)
Please help me solve this
Answer:
75
Step-by-step explanation:
it will take 3 week for 3×25 and 5 week for 5×15. I hope this helps.
The hypotenuse of a right angled triangle is 10cm and one of the other two sides is 6cm.Find the length of third side?
7 cm
8 cm
5 cm
13 cm
Type SSS, SAS, ASA, SAA, or HL
To justify why the two larger triangles are
Congruent.
The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
What is the SAA Congruence Theorem?The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.
Thus:
ΔADB and ΔCBE have:
two pairs congruent angles: ∠ABC ≅ ∠CBE and ∠BAD ≅ ∠BCEone pair of non-included congruent sides: AD ≅ ECTherefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
Learn more about the SAA congruence theorem on:
https://brainly.com/question/2102943
What is the value of the expression?
2 (32 – (4 - 1)"
Justin plays basketball and scored 1/8 of the 48 points. How many points did he score?
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
someone help.me find angle C and D
also this is in CIRCLE THEOREM lesson
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Therefore 3c = 4d = 180°, c = 60° and d = 45°.
If you save $125 each week for one year, how much will you be able to save? There are 52 weeks in one year.
Answer:
You will save 6,500
Explanation:
There are 52 weeks in one year multiply 52 times 125
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*[tex](1+r/100)^{t}[/tex]
10,350=5000[tex](1+r/100)^{8}[/tex]
[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]
2.07=[tex](1+r/100)^{8}[/tex]
[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]
1.095-1=[tex]\frac{r}{100}[/tex]
0.095*100=r
r=9.5%
Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]
=$475
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Please help!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
15
Step-by-step explanation:
Solving for x, we have ...
[tex]3x+\dfrac{2}{x}-4=2(x+9)-\left(7-\dfrac{1}{x}\right)\\\\3x+\dfrac{2}{x}-4=2x+18-7+\dfrac{1}{x}\\\\\boxed{x+\dfrac{1}{x}=15} \qquad\text{subtract $2x+\dfrac{1}{x}-4$}[/tex]
Choose the correct graph of the given system of equations. (1 point)
y + 2x = -1
3y – x = 4
Answer:
y=2x-1
y=x+4/3
Step-by-step explanation:
uh someone help with this question -photo attached-
Answer:
c)-2 is greater than -6
Step-by-step explanation:
HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE
Answer:
C = 100 + 40n
The independent variable is n (number of months) and the dependent variable is C ( total cost)
Step-by-step explanation:
Let the total cost of the fitness center = C
Given fixed cost = $100
given cost per month = $40
let number of month = n
The total cost of the fitness center in a given 'n' month is calculated as;
C = 100 + 40n
From the above equation;
the independent variable is n (number of months) and
the dependent variable is C ( total cost)
C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)
2.
Select the correct answer.
Which transformation of the parent square root function will result in the given domain and range?
domain: [2,00)
range: (3, 0)
A.
B.
; (b) = (x + 2) + 3
g(x) = (x - 2)2 + 3
h(x) = (x – 3): –
k(x) = (x + 3)} – 2
Oc.
OD.
Reset
Next
Answer:
I think the correct answer of these qusion is g(x)=(x_2)2+3
Solve the proportion 2/7=x/42
A. 1/2
B. 12
C. 2/7
D. 6
Because algebra is going to help me raise a family, buy a house, and pay taxes.