Answer: (-3,1)
Step-by-step explanation:
inputting the two equations into a graphing calculator tells us that these two lines intersect at the point (-3,1)
If you are solving the equation 1/(x-4)+1=14/(x+2) by factoring, which of the following equations would you use the zero product property on?
(x - 5)(x + 4) = 0
(x - 5)(x - 10) = 0
(x + 5)(x + 10) = 0
Answer:
The equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
We need to solve the equation [tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}[/tex]
Solving the equation:
[tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0[/tex]
Now, we would factorise to find value of x
[tex]x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0[/tex]
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Answer:
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
please pleas help me!!
Solve the system using elimination.
6x + 14y = 32
6x - 14y = 4
The solution is ___ ( simplify your answer. Type an ordered pair.)
Answer:
x = 3 and y = 1
Step-by-step explanation:
The given equations are :
6x + 14y = 32 ...(1)
6x - 14y = 4 .....(2)
Add equation (1) and (2) :
6x + 14y + 6x - 14y = 32 + 4
12x = 36
x = 3
Put the value of x in equation (1)
6(3) + 14y = 32
18 + 14y = 32
14y = 32-18
14y = 14
y = 1
Hence, the value of x is 3 and y is 1.
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
Need help asap pllzzz will give brainliest
Answer:
d. $350.00
Step-by-step explanation:
A constant is a number that does not have any variables. The additional cost would depend on the number of persons at attendance so the cost would be $10.00p which is not the constant here. Thus, $350.00 is the only constant in this situation.
5x + y = 13
3(x + y) =12+ y
Solve the system of Equations
Answer:
the other persons answer is correct
Step-by-step explanation:
If ris the radius of a circle and dis its diameter, which of the following is an
equivalent formula for the circumference C= 2?
Answer:
D is the answer.
Step-by-step explanation:
The equivalent formula for the circumference C is,
⇒ C = πd
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
r is the radius of a circle and d is its diameter,
We know that;
The circumference of circle is,
C = 2πr
Where, 'r' is radius of circle
Now, We know that;
⇒ r = d / 2
Hence, We get;
The equivalent formula for the circumference C is,
⇒ C = 2π × d/2
⇒ C = πd
Thus, The equivalent formula for the circumference C is,
⇒ C = πd
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
Which of the following is equal to the absolute value of 7?
o the distance between 7 and zero on a number line
o the distance between -3 and -4 on a number line
o the distance between -7 and 7 on a number line
the distance between 1 and 7 on a number line
Three times a number is the same as the difference of twice the number and four. Find the number. Round your answer to the nearest integer, if necessary.
The number is .
Answer:
-4
Step-by-step explanation:
3x = 2x - 4 Subtract 2x from both sides
x = -4
Who know the answer to this
A group of 32 students raised money to pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay? (Round to the nearest hundredths).
Answer: 32.63
Step-by-step explanation:
they will have to pay 3200-2156=1044
each student will need to pay
1044/32= 32.625 but this number rounded to the nearest hundredths is 32.63
Answer:
each student would have to pay 32.63
Step-by-step explanation:
3200-2156=1044
1044 divided bye the number of students is 32.625
32.625 rounded to the rearest hundreth is 32.63
Let u = ln x and v= In y. Write In (x^2y^5)
in terms of u and y.
Answer:
Step-by-step explanation:
u=㏑ x
x=e^u
v=㏑ y
y=e^v[tex]x^{2} y^5 =(e^u)^{2} (e^v)^5=e^{2u}e^{5v}=e^{2u+5v}[/tex]
Answer:
D. 2u + 5v
Step-by-step explanation:
answer on edge
Ms. Thomas buys a new computer for $659. She plans to pay it off in 8 monthly payments. If she pays the same amount each month, which is the best estimate of her monthly payments?
Answer:
$82.38
Step-by-step explanation:
What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!
A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?
Answer: 9 and 21
Step-by-step explanation:
board=30m
divide by 2 pieces
one piece, we call it a
b, the other piece is b= 2a+3
a+b=30
a+2a+3=30
3a=30-3
3a=27
a=9
b=21
Question
Tim has an investment account that compounds interest continuously at a rate of 1.6%. After 5 years, he has $2400 in the
account.
How much money did he initially place in the account?
Round your answer to the nearest dollar.
Answer:
$2215
Step-by-step explanation:
The formula for continuous compound interest is P(t) = P₀[tex]e^{rt}[/tex].
$2,400 = P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾
Divide both sides by (e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) to isolate the initial amount:
($2,400) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = (P₀e⁽¹⁻⁰¹⁶⁾⁽⁵⁾) ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾
$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = P₀
Solve:
$2,400 ÷ e⁽¹⁻⁰¹⁶⁾⁽⁵⁾ = $2215.48
P₀ = $2215.48
P₀ = $2215
Hope this helps!
Solve for X.
Anyone plz help me asap!
Answer:
x = 9
Step-by-step explanation:
According to the midsegment theorem,
HG = ½(QS)
Thus:
21 + 2x = ½(2x + 24)
Multiply both sides by 2
2(21 + 2x) = 2x + 24
42 + 4x = 2x + 24
Collect like terms
42 - 24 = 2x - 4x
-18 = -2x
Divide both sides by -2
9 = x
x = 9
A family went out to dinner and their meal cost $45.50. They left a 20% tip. How much tip did they leave?
Answer:
45.5*0.2 which is 9.1
Step-by-step explanation:
Hope this helps plz hit the crown :D
Please help me out I’m lost
Given:
The function is
[tex]f(x)=2x^4-4x^3+20x-100[/tex]
To find:
The remainder if f(x) is divided by (x+11).
Solution:
According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).
On comparing (x+11) and (x-c), we get c=-11.
Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).
Putting x=-11 in the given function.
[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]
[tex]f(-11)=29282+5324-220-100[/tex]
[tex]f(-11)=34606-320[/tex]
[tex]f(-11)=34286[/tex]
Therefore, the remainder is 34286 when f(x) is divided by (x+11).
Which fraction is less than 3/6
Answer:
The fraction [tex]\frac{3}{6}[/tex] is equavilent to [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
Any fraction less than [tex]\frac{1}{2}[/tex] Is the answer to your question.
Examples: [tex]\frac{1}{4}[/tex], [tex]\frac{2}{8}[/tex], [tex]\frac{1}{9}[/tex], [tex]\frac{4}{9}[/tex], etc.
There is a wide variety of fractions that could be the answer to this question, like I said before, Any fraction less than [tex]\frac{1}{2}[/tex]. I did not see any answer choices so I did my best to answer this properly for you. Hope this helps you.
Please help
Find the equation of this line
Write it in the form y=mx+b
Y=?
y=1/5x because it passes through the origin
1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of" *
Answer:
27
Step-by-step explanation:
3x - 2x²
3 × -3 = -9
2 × -3 = -6
-9 - (-6²)
-9 - (-36)
-9 + 36
36 - 9
36 - 9 = 27
Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?
A$588
B$480
C$546
D$1008
Answer:
c?
Step-by-step explanation:
Answer:
C.546
Step-by-step explanation:
60×8=480+ 66=546
- Isabel has a mother dog and her puppy that look
exactly alike. The puppy wcighs 6 pounds, and the
mother weighs 48 pounds. Assuming the two dogs are
similar, what is the scale factor of the dilation?
Answer:
8
Step-by-step explanation:
30 POINTS! PLEASE GRAPH AND ANSWER THE QUESTION WILL MARK BRANLIEST
Answer:
Step-by-step explanation:
put a point on -5 and put a point on -4 then write the equation on the top to show what you did, name the points then put a point on -9
Answer:
x ≥ 1
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
−x ≤ −1
Divide each term in −x ≤ −1 by −1 and simplify.
x ≥ 1
Hope this helps! :)
Sean tried to drink a slushy as fast as he could. He drank 5 milliliters of slushy each second and finished all
the slushy after 50 seconds.
Graph the relationship between the amount of slushy left in the cup (in milliters) and time (in seconds).
Answer:
graph like this:
Step-by-step explanation:
First, in 5 seconds, we know that he drinks 25 mL of slushy. We know this because 1 second is 5 mL, so 5 seconds is 25 mL. So, your graph should be going from the 5 second to 25 mL mark, then the 10 second and 50 mL mark, then the 15 mL and 75 mL mark, and so on.
The area of a triangular wedge is 90 square inches. The height is 18 inches.
What is the base2
Hello!
[tex]\large\boxed{b = 10in}[/tex]
Formula for the area of a triangle:
A = 1/2(bh)
We are given the height and area, so we can plug those into the formula to solve for b:
90 = 1/2(18b)
Multiply both sides by 2:
180 = 18b
Divide both sides by 18:
b = 10 inches.
Answer:
10inches is equal to the base
Step-by-step explanation:
formula for finding the area of a triangle is
½bh which is half times base times height
-base is unknown, height is 18 and area is 90.
-½x*18=90
½of 18 is 9
1x*9=90
9*x=9x
therefore:9x=90
we devide both sides by the co-efficient of x which is 9
9 dividing 90 is 10.
therefore x is equal 10
there is a graph with 36 possible outcomes. What is the probability of rolling a sum of 10 when rolling 2 number cubes.
A. 1/12
B. 1/9
C. 1/3
D. 5/12
Answer: A
Step-by-step explanation:
Answer:
A. 1/12
Step-by-step explanation:
Suppose z = . What is z4?
on EDGE 2020
Answer:
[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]
Step-by-step explanation:
We can determine the power of a complex number by the De Moivre's Theorem, which states that for all [tex]z = r\cdot (\cos \theta + i\,\sin\theta)[/tex], where [tex]a, b \in \mathbb{R}[/tex], the power of the complex number is:
[tex]z^{n} = r^{n}\cdot (\cos n\theta + i\,\sin n\theta)[/tex] (1)
Where:
[tex]r[/tex] - Magnitude of the complex number, dimensionless.
[tex]\theta[/tex] - Direction of the complex number.
If we know that [tex]r = 1[/tex], [tex]n = 4[/tex] and [tex]\theta = \frac{2\pi}{3}[/tex], then the fourth power of the complex number is:
[tex]z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right][/tex]
[tex]z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}[/tex]
Answer:
ITS B ON EDGE
Step-by-step explanation:
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
The following equations are set up for each person
Zinnia: 58x+13
Ruby: 58y
If you need the total of both the equation is:
58x+13+58y
Hopefully this helped :) Have a great day
Answer:
I believe your answer is D, 58x+13+58y.
Step-by-step explanation:
Am i right if not plz help me giving brainlist
Answer:
C. 3/4 = 9/12
Step-by-step explanation:
The reason 3/4 = 9/12 is a proportion is because this....
You multiply 3*3 and 4*3 to get 9 and 12 = 9/12
Hope this helps!
Answer
The answer is 3/4 = 9/12.
Step-by-step explanation:
Which solution can be used to fill in both blanks in the table?
O (1,6)
O(6, 1)
O (7,6)
O (6, 7)
Just know it’s not B
Answer:
(6,7)
Step-by-step explanation:
Answer:
the answer is (6,7)
Step-by-step explanation:
This is for the ed students :)!