Answer:
x = -2, x = 2
Step-by-step explanation:
The denominator factors as ...
x^2 -4 = (x -2)(x +2)
The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.
Eight more than twice a number is equal to ten leas five times the number, n. Which equation can be used to find n?
Answer:
Here is what I think the answer is.
n+2n+8 = 5n-10
3n+8 = 5n-10
-8 -8
3n = 5n-18
-5n -5n
-2n = -18
---- -----
-2 -2
n = 9
Step-by-step explanation:
It would be 8 + 2 = 10 - 5n I think.
Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.
Answer:
Step-by-step explanation:
b] find the first time the height of the spring reaches 16 cm above the ground.
Help help help math
area of the circle is 12 inches ²
What is the image of O(1,4) after two reflections, first across the line y = 4, and then across
the line x = -2?
(-5,4)
(-2, 4)
(-1,8)
(1,4)
Answer:
A. (-5,4)
Step-by-step explanation:
A reflect on y=4 does not affect point (1,4) since it is on y=4
So a reflect on itself is the same
A reflection of x= -2 is trickier
Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)
So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left
Which is (-5,4)
Thus A
Hope this helps!
if x and y are positive numbers xy = 96 what is the value of x
The value of x is 96/y where y is not equal to zero.
Given the expression that relates x and y as xy = 96
We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:
[tex]xy = 96\\\frac{xy}{y} =\frac{96}{y} \\x = \frac{96}{y} \\[/tex]
From the result, we can conclude that the value of x is 96/y where y is not equal to zero.
Learn more on functions here: https://brainly.com/question/17431959
I NEEEEED HELP AND QUICK T~T
Answer:
5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr
Step-by-step explanation:
5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.
6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.
7. Alternate exterior, same as #1
8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines
9. Corresponding since they are at the same place on the 2 parallel lines.
12 in. to 36 in. increase in percent or decrease?
Answer:
33.3333%
Step-by-step explanation:
Answer:
12/36=0.333+
it decrease
find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
Pls answer this problem
the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?
Answer:
since opp. angles of a parallelogram is equal.
therefore,
let the angle be x
thus,
x+x=140
2x=140
x=70°
co interior angles are supplimentary,
thus,
x+y=180
y=180-70
y=110°
opp. angles are equal thus,
fourth angle =110°
1st angle=70
2nd angle=70
3rd angle =110°
Step-by-step explanation:
2
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)?
2
1o -+1
O y=-3x+1
O y=-x+3
O y=-x-1
=
O y=-x-3
Answer:
Step-by-step explanation:
We'll start with the slope intercept form of a straight line equation:
y = mx + b, where x is the slope and b the y-intercept. The slope we are given is 3, so:
y = 3x + b
We need a value of b that will force the line to go through (-3,-1). Do this by entering that point in the equation and solving for b:
y = -3x + b
-1 = 3(-3) + b
b = 8
y = 3x + 8
What is 10/11x11/12 in the fraction form
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
solve -(-7x+9)+(3x-1)=0
Answer: x = 1
Step-by-step explanation:
Pls I need help quickly!
Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
Mindy claims 20 sets of shoes and consistently she buys two additional matches.
The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,
aₙ = a₁ + nd
aₙ = 20 + 2n
The number of weeks is given as,
50 = 20 + 2n
50 = 20 + 2n
50 = 20 + 2n
Simplify the equation, then we have
2n = 50 - 20
2n = 30
n = 30 / 2
n = 15
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
For all values of x, f(x)=2x+1 and g(x)=x^2. Solve fg(x)=gf(x). (Mathwatch)
[tex]\text{Given that,}\\\\f(x) = 2x+1,~~ g(x) = x^2\\\\\ \text{now,}\\\\f(g(x)) = g(f(x))\\\\\implies f(x^2) = g(2x+1)\\\\\implies 2x^2+1=(2x+1)^2\\\\\implies 2x^2+1= (2x)^2 +2\cdot 2x + 1\\\\\implies 2x^2 +1 = 4x^2 + 4x +1\\\\\implies 4x^2 -2x^2 +4x +1-1 =0\\\\\implies 2x^2 +4x =0\\\\\implies 2x(x+2)=0\\\\\implies 2x =0~~ \text{or}~~ x+2 =0\\\\\implies x =0 ~~~\text{or}~ x =-2\\\\\ \text{Hence,}~ x =0 ~\text{and} ~ x =-2~ \text{are the solutions.}[/tex]
i need help with this question, thx to anyone who helps! :)
Answer:
Golf balls
Step-by-step explanation:
There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)
You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start
Answer:
(-3, -4)
Step-by-step explanation:
(-5, -5)
2 units right
(-3, -5)
1 unit up
(-3, -4)
just go backwards
Answer:
(-3, -4)
Step-by-step explanation:
The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.
A company makes 80 bags.
24 of the bags have buttons but no zips.
22 of the bags have zips but no buttons.
29 of the bags have neither zips nar buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?
Answer:
34 Model B gloves were sold
Step-by-step explanation:
PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST
Answer:
See image
Step-by-step explanation:
In both of these the words "more than" mean adding and not the symbol >
difference means subtracting
See image
A small cup holds 75% as much as a large cup. If the small cup holds 36 units, how much does the large cup hold?
Answer:
48
Step-by-step explanation:
75/100 = 36/x
x = 48
Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.
Answer:
Go have fun at your Christmas party!
Multiple Choice= 2 points each
Short Response= 4 points each
Step-by-step explanation:
You can set up a system of equations to find out how many points each type of question is worth.
x= multiple choice
y= short response
Equation 1 (You)
23x+10y=86
Equation 2 (Your Friend)
28x+5y=76
Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.
-2(28x+5y=76)
-56x-10y=-152
Subtract both equations together.
23x+10y=86
-56x-10y=-152
-33x= -66
x=2
Now that we found x, plug it into the first equation to solve for y.
23x+10y=86
23(2)+10y=86
46+10y=86
10y=40
y=4
Each multiple choice is worth 2 points, and each short answer response is worth 4 points.
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
Learn more about algebraic identities here
https://brainly.com/question/28853516
#SPJ2
Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.
How many pints of blue paint will he use to create 40 pints of purple paint?
Answer:
24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16
Step-by-step explanation:
A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?
160 centimeters
16 millimeters
1,600 millimeters
160 millimeters
Answer:
I don't know I wanna say the 3rd one
Step-by-step explanation:
Help rn have to get this done send answers
Answer:
D) 3 units
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Help help math math
Answer:
32
Step-by-step explanation:
hope this helps :)
enter a formula using k to connect the two variables. y is proportional to 1/x
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]
Subtract: -10 - (-21)
Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?
Answer:
7 rides
Step-by-step explanation:
38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.