Answer:
[tex]m^2 +13m-36[/tex] does not factor.
Explanation:
[tex]m^2 +13m-36[/tex] is not factorable with rational numbers.
Determine the domain on which the following function is decreasing
Answer:
[4,infinity] for DECREASING
[negative infinity, 4] for INCREASING
Step-by-step explanation:
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
What is 6(x-6)+12=6(x+1)-3x show your work.
If a=b+7 and b+7=9, then a=9
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
Two complex numbers are given, where m, n, p, and q are real numbers.
m+ni
p+qi
For what relationship among m, n, p, and q, will be the product of these two complex numbers have only an imaginary part?
This is Algebra 2.
Answer choices:
np mq
mp-np=0
mp+nq=-1
Answer:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
Step-by-step explanation:
We are given two complex numbers:
[tex]\displaystyle m + ni \text{ and } p + qi[/tex]
Where m, n, p, and q are real numbers.
And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.
Find the product:
[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]
Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
In conclusion, the relationship between m, n, p, and q is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
Somebody help with 1 & 2
Answer:
c
Step-by-step explanation:
let x represent the equally priced bracelets of which there are 4 , so 4x
We know she spent $64 on rings and a total of $200 was spent , then
64 + 4x = 200 ← represents the situation
x represents the cost of a bracelet
Answer:
c
Step-by-step explanation:
the total amount paid at the jewelry is 200
64 was spent on rings
the rest amount of money was spent on 4 bracelets
let the price of one bracelet be x
200=4(x)+64
200=4x+64
The square of the difference between 2x and y
Answer:
this question doesn`t have much information but here`s my best guess
(2x-y)^2
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.
1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.
2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."
So, combining the two steps, we have:
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.
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If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
a squared + b - c squared
Answer:
a²+(b-c)²
hope it helps
x=-4 +6+ (11 +4(-3))
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
On a number line, point S is located at -3 and point T is located at 9. What is the location of point R on ST given that the ratio of SR to RT is 3:4
A) 27/7
B) 2 1/4
C) 15/7
D) 1 1/4
Answer:
Im pretty sure it would be C
Step-by-step explanation:
The location of R on the number line will be 15/7 so option (C) will be correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Distance from S to T = 3 + 9 = 12
So,
SR + RT = 12
And given,
SR/RT = 3/4 ⇒ SR = (3/4)RT
By substitution,
(3/4)RT + RT = 12
RT ( 7/4) = 12
RT = 48/7
Now the location of point R ⇒
OT - RT = 9 - 48/7 = 15/7
Hence "The location of R on the number line will be 15/7".
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determine the area of the triangular ABC with AC =5cm and height DB=30mm
Answer:
Step-by-step explanation:
AC² = AD² + DB ²
25 = AD² + 9
AD²= 25 - 9
AD² = 16
AD = 4
Area = 4*3 /2
= 6cm
SOMEONE HELP??????!!!!!!!
Answer: a = 300, b = b = 50.24
Step-by-step explanation:
Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
According to my equation it's 20°
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
Answer:
Step-by-step explanation:
please helpppppp!!!!!!!!!
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
BRAINLIEST!!!
Approximate the solution to the graphed system. Explain how you got your answer.
Answer:
(7.5, 12)Step-by-step explanation:
The solution of a linear system is the intersection of the lines.
We can see the lines A and B intersect at the point (7.5, 12) which is the solution.
See attached for better visualization.
Answer:
(7.5,12.5)
Step-by-step explanation:
See the intersected point is almost situated at the middle of 10 and 15 .Hence its 12.5 on y.And the point is situated in the middle of 7 and 8 .Hence its 7.5 on x.b+6/4 when b=1.5???????????????????????
Answer:
3
Step-by-step explanation:
E
Initial Knowledge Check
Question
Find the surface area of a cylinder with a height of 5 m and a base radius of 3 m.
Use the value 3.14 for it, and do not do any rounding.
Be sure to include the correct unit.
5 m
Í
3 m
1
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
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Help with this question. Will give brainliest.
Step-by-step explanation:
x = elsie ticket
[tex] \frac{2}{3} x + 10 = 21[/tex]
Answer:
No I am pretty sure it is the 4th answer my guy.
Step-by-step explanation:
2/3x-10=21
Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?
First, let's write down what we know.
AB = 3x
AC = 5x+21
Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.
AB + AB = AC
Let's plug in our values.
3x + 3x = 5x + 21
Simplify the left side.
6x = 5x + 21
Subtract 5x from both sides.
x = 21
Now, let's plug in 21 for x in AB
AB = 3x = 3(21) = 63
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
it is a type of passive transport.
it could be active or passive transport.
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
What do pinocytosis and phagocytosis have in common?
They are both forms of endocytosis.
WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Answer:
x + 2 + 3x = 30
Step-by-step explanation:
Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.
Let x = Zach's car length.
Zach's car length is x.
"Ginny's car is 2 more than 3 times the length of Zach's car."
Ginny's car length is 2 + 3x.
Add the lengths:
x + 2 + 3x
"The sum of the lengths of both cars is 30 inches."
x + 2 + 3x = 30
Answer: x + 2 + 3x = 30
How do you find the GCF of each?
4q verbal expression
Answer:
sum of two terms. So, the verbal expression 15 plus r can be used to describe the algebraic expression 15 + r
Step-by-step explanation:
Help me on this math questionnn
An amusement park sold 4 discount tickets and 36 full-price tickets. What percentage of the tickets sold were discount tickets?
How do I divide integers with different signs
How do I multiply integers with different signs