Step-by-step explanation: The first thing you're going to probably
try to do here is to factor out a greatest common factor.
The problem is, there is no factor that is in common
to all three of these terms so you may think it's unfactorable.
However, this trinomial is in a special form.
We have an x squared term, an x term, and a constant term.
When a trinomial is in this form, it can be
factored as the product of two binomials.
So start by setting up two sets of parentheses.
Inside each set, we will have the two terms that compose each binomial.
So we have ( )( ).
The first term is a factor of the x² term, x · x.
For the second term, we need factors of 12 that add to -7.
Since the middle term is negative, we use the negative factors of 12.
Notice that -4 and -3 add to -7 and multiply to be 12.
So our answer is (x - 4)(x - 3).
What is 2M?
M=[3 5]
[-4 0]
Answer:
2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.
Step-by-step explanation:
Given the matrix
[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]
Multiplying by 2 will basically be a scalar multiplication.
Therefore, multiply each of the matrix elements by a scalar.
[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Hence, 2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.
Simplify the expression
Answer:
f(y) = y g(y) = y - 6Step-by-step explanation:
[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]
What's the answer help pls
Answer:
48°
Step-by-step explanation:
The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)
Two Angles are Supplementary when they add up to 180 degrees.
HENCE,
∠A + ∠B =180 (given)
⇒4x - 16 +8x + 4 = 180°
⇒12x - 12 = 180°
⇒12x = 192
⇒x = 16 ----1
substituting eq1 in ∠A,
=> 4(16) -16
=> 64 - 16
=> ∠A = 48°
Answer:
48
Step-by-step explanation:
The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this
4x-16+8x+4=180
combine like terms
12x-12=180
12x=192
divide to get x
x=16.
You need the measure of angle A so you plug it back in
4(16)-16
64-16
48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132
Use the Distributive Property to expand the expression you obtained in part B.
The expression is 2(100 − x).
Answer:
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
Answer:
2(100 − x)
Distribute the 2:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
Mark me brainliest please?
Which expression(s) represent negative products? Check all that apply. 7.71(–0.02) 3.4(0.5) 0.23(–1.1) –2.5(–9.2) –5.09(8.1)
Answer: 1 3 5
Step-by-step explanation:
Answer:
7.71(–0.02), 0.23(–1.1), –5.09(8.1)
Estimate the area of the figure. Each square represents 2 units^2.
Answer:
60 units²Step-by-step explanation:
Approximate area is about 50 units²
The closest option is the last one
Extremely easy question marking Brainliest answer
Answer:
It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.
Is 46 a number in the sequence generated by 5n + 1
Answer:
231
Step-by-step explanation:
5.46+1
230+1
231
answer this?
Answer:
yes
Step-by-step explanation:
Equate 5n + 1 and 46 to find n, that is
5n + 1 = 46 ( subtract 1 from both sides )
5n = 45 ( divide both sides by 5 )
n = 9
Thus 46 is the ninth term in the sequence
Please answer...
Tracy has $35 to buy comic books and to pay for a single movie ticket. It costs $3 per comic book. The movie ticket costs $10. Which inequality can be used to determine how many comic books, b, Tracy can buy?
A: 3b + 10 >= 35
B: 10b + 3 >= 35
C: 3b + 10 <= 35
D: 10b + 3 <= 35
Translate the following statement: "Your grade, g, must be at least
75 to pass this class."
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.
Answer:
yes they are congruent because they are the same size
Step-by-step explanation:
theyre the same size so yes
Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.
Answer:
30° and 150°
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Answer:
30 and 150
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Can a right triangle have sides of 12, 16, and 20?
Will mark brainliest!! Please answer ASAP
Will give extra points!!!
Please let me know if the picture above answer is correct or not and tell me the right answer!
Second question-
Which linear equation can be used to represent a line parallel to the x axis that passes through the point (8,5)
1) y=5
2) y=x+8
3) y=x+5
Answer:
y=5
Step-by-step explanation:
y= 5 is always parallel to x axis
Write the expression in simplest form.
(11 + 3) – 2(- 4 1 - 1) =
NIO
Answer:
11+3=14
-41-1=-42
14-2(-42)
-2(-42)
14+84
98
I hope this is good enough:
The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?
Answer:
24 individuals
Step-by-step explanation:
Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...
($480 - $120) / $15 = x
$360 / $15 = x
24 = x
Finally, we can see that a total number of 24 individuals attended the party
if you haven't pulled a knife out on yo siblings you aint real siblings
Answer:
yup
Step-by-step explanation:
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
WORTH 15 POINTS
⚠️MAKE SURE TO USE SURDS ⚠️
ANSWER ASAP WILL GIVE BRAINLIEST
Answer:
i got 1.23 don't think its right though so someone check me
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
First thing is you have to do the square root of 3. Which will give you a crazy long decimal but then after you square it, it becomes 3 perfectly.
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
Answer:
8/4 and 2/1(or just 2)
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the numbers-
(9-1)/(1+3) and (-7+9)/(-1+2)
1.5m^6(-2m^2)^4
find the product
If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?
Answer:
42°
Step-by-step explanation:
Subtract: 63 - 21 = 42°
Answer:
42°F
Step-by-step explanation:
63-21=42°F
if it fell, it means it went down, so it got colder
Can someone plzz answer this!!?
Answer: B Angle Side Angle
Step-by-step explanation:
Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.
Please help me I will really appreciate it!!!
Answer:
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Step-by-step explanation:
solve for t
h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2
-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides
-2h + 2 = a[tex]t^{2}[/tex]; divide by a
(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
help meeeeeeeeee plzzzzzzzzzzzzz
Answer:
91 x
Step-by-step explanation:
The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?
Answer:
2cmStep-by-step explanation:
Step one:
given data
for the large cube
the volume= 125cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
125=l^3
l=∛125
l=5cm
Step two:
given data
for the large cube
the volume= 27cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
27=l^3
l=∛27
l=3cm
The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cmNumber between 3.45 and 3.46
Answer:
3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460
A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?
ax = bc - c solve for x
Answer:
X = c - b/a
Step-by-step explanation:
Answer:
x=bc/a - c/a
You simplify it like you would any equation, only difference is it does not have numbers.
Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please
Answer:
Property of Equality
Step-by-step explanation:
Answer:Property of Equality
STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:
PLEB