Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.
What is 10³?
10
100
1000
Answer:
1000
Step-by-step explanation:
Answer: 1000, hope it helps.
Step-by-step explanation:
Find g(-7) for g(t) = 4t^2
Answer:
196
Step-by-step explanation:
Just plug in a -7 for everywhere there is a t:
[tex]g(t)=4t^2\\g(-7)=4(-7)^2\\g(-7)=4*49=196[/tex]
one hundred seventy nine
Mr. Jefferson's and Mr. Hamilton's fifth grade classes sold brownies every day at school for 6 months. If
the pattern continues, which class will earn more at the end of week 8? Use the table to help solve the
problem.
Answer:
It is B
Step-by-step explanation:
Which expression is equivalent to 440d2 - 176d?
666666666666666666766666666
Answer:
c
Step-by-step explanation:
i saw the answer sheet :)
Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 is
divided by 4x + 3.

Answer:
your answer will become 69.
5. 4
Which input value produces the same output value for
the two functions on the graph?
(
*)
3
NO
O x= -1
O x = 0
O x= 1
O x= 2
-5 -3 -2 -
4
х
91x)
Answer:
x=1......................
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Check the picture below.
Find the slope
(3,5) and (6,9)
Answer:
4/3 or 1 1/3
Step-by-step explanation:
To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)
Answer:
Slope is 4/3
Step-by-step explanation:
Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.
The formula of slope between two points can be expressed as several equations, expressions, etc such as:
[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.
Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.
Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]
Therefore the slope of two points is 4/3.
__________________
Let me know in comment if you have any questions.
Need help. Sorry if the pic quality is bad…
which statement best describes the first step to the equation -11-3x=44-2x
A. add 3 to both sides
B add 2 to both sides
C.get the variables on one side
Get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -11-3x=44-2x
Minus eleven minus three x equal to forty four minus two times of x
To solve this, we need to seperated the variable on one side
-3x+2x=44+11
-x=55
x=-55
Get the variables on one side is the first step to the equation -11-3x=44-2x
Hence, get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
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Q1 (a) A random variable X has the following probability function: Х O 1 2 3 4 5 and P(x) 0 k 2k 2k 3k 5k
(i) Determine the value of "k"
(i)Find P(1.5 < X < 4.5/ X > 2)
Answer:
(i) It is known that the sum of probabilities of a probability distribution of random variables is one.
∴0+k+2k+3k+k
2
+2k
2
+(7k
2
+k)=1
⇒10k
2
+9k−1=0
⇒(10k−1)(k+1)=0
⇒k=−1,
10
1
k=−1 is not possible as the probability of an event is never negative.
∴k=
10
1
(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)
=0+k+2k
=3k
=3×
10
1
=
10
3
(iii) P(X>6)=P(X=7)
=7k
2
+k
=7×
10
1
2
+
10
1
=
100
7
+
10
1
=
100
17
(iv) P(0<X<3)=P(X=1)+P(X=2)
=k+2k
=3k
=3×
10
1
=
10
3
Which inequality is shown in this graph?
(-2, 2.
• (0-2)
A. Y=2x-2
OOC
B. y 2 - 2x - 2
c. y = 2x - 2
D.VS - 2x - 2
please help asap rn thank you
Answer:
1 is acute
2 is a right triangle
3 is obtuse
Step-by-step explanation:
A 90 degree angle will be written as a box in the corner. Any angle less than 90 is acute, and any angle more than 90 is obtuse.
Answer asap! Need help before I go to sleep.
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
4x - 7y = 9
7y = 4x - 9
y = (4/7)x - 9/7
so the parallel line has form
y = (4/7)x + b
plug in the point on the line
3 = (4/7)7 + b
b = -1
y = (4/7)x - 1
As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline
Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games
Answer:
1) 3:8
2)5:7
3)4:5
4)1:3
5)2:3
6)11:18
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
1/2+2/3 divided by 1/6
(no links)
[tex]\cfrac{1}{2}+\cfrac{\underline{2}}{3}\implies \cfrac{(3)(1)~~ +~~(2)(\underline{2})}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{6}\div \cfrac{1}{6}\implies \cfrac{7}{~~\begin{matrix}6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies 7[/tex]
#7) Identify all pairs of congruent angles
Answer:
A, D, G, H
Step-by-step explanation:
Look at the pink(or purple) lines. R and F both have 4 lines, so they're congruent. S and G both have 1 line, so those are congruent too.
-hope it helps
Answer:
1st option: ∠S ≅ ∠G
4th option: ∠T ≅ ∠H
7th option: ∠Q ≅ ∠E
8th option: ∠R ≅ ∠F
Step-by-step explanation:
Side lengths are unnecessary you just look at those loop things. Angles with the same number of "loops" are congruent like how ∠Q and ∠E both have 3 "loops", this means those angles are congruent.
classify the conic section without graphing 3x^2-2xy+3y^2+2x-4y+1=0
Circle: When x and y are both squared and the coefficients on them are the same — including the sign.
For example, take a look at 3x2 – 12x + 3y2 = 2. Notice that the x2 and y2 have the same coefficient (positive 3). That info is all you need to recognize that you’re working with a circle.
Parabola: When either x or y is squared — not both.
i am big brain
what is the length of FD? Need help do tomorrow!!!
Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
Help help help math math
Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).
help pls!
Answer:
Step-by-step explanation:
Rewrite the equation is standard format: y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0). \
– 25x + 5y = -9
5y = 25x - 9
y = 5x - (9/5)
This line has a slope of 5. A parallel line will have the same slope as the reference line. This means:
y = 5x + b
Any line with a slope of 5 will be parallel, regardless of the value of b. We need b, however, since we also want this line to cross point (0,0). We can use this point in the equation and solve for b:
y = 5x + b
0 = 0x + b
b = 0
Our line becomes y = 5x + 0, or
y = 5x
[Note that we could also say b=0 just by looking at the given point. The y-intercept, b, is the value of y when x=0. The point we were given tells us y = 0 at x = 0.
David has a checking account at City center Bank. During the month of April, he made deposits totaling $985.89 and wrote checks totaling $454.27 .He paid a maintenance fee of $18 and earned $2.95 in interest. His balance at the end of the month was $3,005.32. What was the balance at the beginning of April?
Helpppp I need help
If you can’t really see it,says if
m
Of the 600 sixth graders at Melville Middle school, 80% want more field trips. How
Many students want more field trips?
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)
Fill in the missing numbers below.
5 feet + 12 inches =
yard(s)
inches = 1 foot + 1 yard
feet = 3 feet + 24 inches
Answer:
2
Step-by-step explanation:
5 feet + 12 inches = 2 yards
Therefore
5 feet + 12 inches = yard(2)
I solving for (s)
hope that helps
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation: