Answer:
Step-by-step explanation:
Dividing : 6x2-x+12
("Dividend")
By : 2x-3 ("Divisor")
dividend 6x2 - x + 12
- divisor * 3x1 6x2 - 9x
remainder 8x + 12
- divisor * 4x0 8x - 12
remainder 24
Quotient : 3x+4
Remainder : 24
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
Step-by-step explanation:
[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]
[tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]
[tex]=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)[/tex]
[tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]
Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them.
Answer:
25 and 26
Step-by-step explanation:
25+26=51
Hope this helps! :)
Answer and Step-by-step explanation:
We can represent the equation like this:
x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.
Solve for x.
Add the x's together.
2x + 1 = 51
Subtract 1 from both sides of the equation.
2x = 50
Divide 2 on both sides of the equation.
x = 25
So, the numbers are 25 and 26.
25 + 26 = 51
#teamtrees #PAW (Plant And Water)
Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)
Answer:
12) A
the values are each devided by three then multiplied by 4
13) C
values are 4 times as big as in the right figure
14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point
x is option A
and y is option C
What is the range of this set of data?
Answer: B) [tex]0 \le y \le 100[/tex]
====================================================
Explanation:
The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.
So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]
The range in interval notation is [0, 100]. The square brackets say to include the endpoints.
------------
Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.
The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points
(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!
Answer:
3 m
Step-by-step explanation:
A hexagon has six sides.
3m x 6 = 18 m
Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2
Answer:
d = 3h - 6
Step-by-step explanation:
Given
h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )
h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )
3(h - 2) = d , that is
d = 3h - 6
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
Simplify the expression:
-7(4-5)
Answer:
=-28+35 =7 is the answerWrite the inverse of the given conditional statement
Answer:
If I live in South Carolina then I live in Charleston
Step-by-step explanation:
Just switch them
Can someone help me
Answer:
m∠W = 134
Step-by-step explanation:
JGN is congruent to AIW and the names of the triangles are both in the same order. That may sound confusing but this means that:
J = A
G = I
N = W
So, if angle N is 134 then angle W is the same.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
Find k if (x+1) 2x^3+kx^2+1
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet
An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10
The volume of the cylinder
Answer:
15550.88
Step-by-step explanation:
the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.
Answer:
15550.88
Step-by-step explanation:
You use πr^2 h
6th grade math help me please
Answer: £1.18
Step-by-step explanation: 9.44/8 = 1.18
PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.
Answer:
Step-by-step explanation:
h × b × [tex]\frac{1}{2}[/tex] = A (this is the formula)
2 × 3 × [tex]\frac{1}{2}[/tex] = 3m²
I believe you forgot to mention some information...but hope this helps...
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
Helpppppppp meeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
(23+7²)= 23+7×7=72
72÷2²= 18
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
PLEASE HELP FINDING TRIANGLE ANGLE
Answer:
x = 146
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
x = 48+98
x = 146
Answer:
The sum of all the angles in a triangle is 180 degrees,
We know the measures of two angles, 48 and 98
if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x
48+98=146
180-146 = 34
now, we have to do 180-34 to find the measure of x.
why? any straight line is 180 degrees.
180-34 = 146
x = 146
hope this is correct and it helps you.
Zzzzzzzhelpzzzz zzzzzzzz
the answers are A and D hope this helped
If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.Y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000
Answer:
[tex]x =12.5[/tex]
Step-by-step explanation:
Given
[tex]300x + \frac{500}{7}y =10000[/tex]
[tex]y = 87.5[/tex]
Required
Find x
Substitute [tex]y = 87.5[/tex] in [tex]300x + \frac{500}{7}y =10000[/tex]
[tex]300x + \frac{500}{7}*87.5 =10000[/tex]
[tex]300x + 500*12.5 =10000[/tex]
[tex]300x + 6250=10000[/tex]
Collect like terms
[tex]300x =10000-6250[/tex]
[tex]300x =3750[/tex]
Divide by 300
[tex]x =12.5[/tex]
Answer:
12.5
Step-by-step explanation:
To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?
Ellie made an octagon and used a ruler so each side is the same length. Her octagon has a perimeter of 80 inches. What is the length of each side? ___ (your answer) inches
Answer:
Each side is 10 inches because the perimeter is 80 inches, you will have to divide 80 by 8 because octagon is a shape with 8 sides. So 80 divided by 8 is 10..... So the answeer is 10 inches.
Step-by-step explanation:
80÷8=10
brainliest!!!!?
Need help please!! :)
Answer:
[tex]A: (-3,1)[/tex]
[tex]B:(-1,-1)[/tex]
[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]
[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]
[tex]=\sqrt{4+4}=\sqrt{8}[/tex]
[tex]=2\sqrt{2} =2.8[/tex]
---------------------
hope it helps..
have a great day sis ^_^!!!
Answer:
Coordinates of :-
A= (-3,1)
B= (-1,-1)
Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]OAmalOHopeO
how to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear
can someone help please...
Answer:
the answer is median (b)
ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?
Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°