Answer:
infinite
Step-by-step explanation:
the first equation (y-2=x) becomes y=x+2 when you add 2 to both sides
the second equation (-x=2-y) also becomes y=x+2 when you add y and x to both sides
-x = 2-yy-x=2y=x+2since both equations are the same the number of solutions is infinite
What is the scale factor of the dilation?
A. 2/5
B. 2/3
C. 3/2
D. 8/5
What sum of money, invested at 9%
interest per year, is needed to provide an
income of $45 per year?
Answer:
$500
Step-by-step explanation:
Intrest = P. A * Intrest Rate * Time
Time = 1 year, Intrest Rate = 9%, P. A. is what we need to find, Intrest is 45
45=x*9/100*1, x=500
Answer:
500
Step-by-step explanation:
I = PRT where I is the interest, P is the amount invested, R is the rate and T is the time
We want 1 year at 9% to get 45 dollars in interest
45 = P ( .09) (1)
45 = .09P
Divide each side by .09
45/ .09 = P
500 =P
Been stuck for 30 mins now please help !!!
Answer:
D) y = 2x + 1
Step-by-step explanation:
Which of the following is an example of a producer?
1. tree
2. hawk
3.rabbit
4. mushroom
Answer:
1. treeStep-by-step explanation:
Tree as an autotroph can prepare its own food and which animals and humans feed upon, so the tree is a producer
What is the mean of this data set?
A. 84
B. 85
C. 83
D. 88
Answer:
85
Step-by-step explanation:
Add to get total. divide by 4.
Answer:
B. 85
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if 85 is the correct answer, it is. I can confirm this because I just took the test. I hope I could help! (:
find products of (SinA+CosA)* (SinA_ CosA)
Answer:
(sin2A--cos2A)
hope this helps you
what should be added to 780629 so that the sum is exactly divisible by 493?
Answer:
283
Step-by-step explanation:
Given problem is based on divisibilityy,
= 780629/493
quotient = 1583
remainder = 210
So,Add 283 with remainder (210) to get 493
= 283+210
= 493
There for 283 should be added to 780629 so that the sum is exactly divisible by 493
The problem has come from division .
First divide them
[tex]\\ \sf\longmapsto \dfrac{480629}{493}[/tex]
[tex]\\ \sf\longmapsto Remainder=210[/tex]
[tex]\\ \sf\longmapsto Quiotent=1583[/tex]
Now We have to add x to the remainder by which it will be 493
[tex]\\ \sf\longmapsto x+210=493[/tex]
[tex]\\ \sf\longmapsto x=493-210[/tex]
[tex]\\ \sf\longmapsto x=283[/tex]
Let f(x)=−5x+18 and g(x)=x2+15.
Find f(−2)−g(−2).
Answer:
21
Step-by-step explanation:
-5(-2)-(-2)²+15
10-(4)+15
10-4+15
21
Answer:
9
Step-by-step explanation:
f(x)=−5x+18
f(-2) = -5(-2)+18 = 10+18 = 28
g(x)=x^2+15
g(-2) = (-2)^2 +15 = 4+15 = 19
f(02) - g(-2) = 28 - 19 = 9
HELP ASAP PLEASE I WILL MARK BRAINLEST
Show all work to identify the asymptotes and zero of the function f of x equals 6 x over quantity x squared minus 36.
Answer:
vertical asymptotes
x=6, x=-6
horizontal asymptotes
y=0
zeros (0,0)
Step-by-step explanation:
f(x) = 6x / ( x^2 - 36)
First factor
f(x) = 6x / ( x-6)(x+6)
Since nothing cancels
The vertical asymptotes are when the denominator goes to zero
x-6 = 0 x+6=0
x=6 x= -6
Since the numerator has a smaller power than the denominator (1 < 2), there is an asymptote at y = 0
To find the zeros, we find where the numerator = 0
6x=0
x=0
[tex]\\ \rm\Rrightarrow y=\dfrac{6x}{x^2-36}[/tex]
The h orizontal asymptote
As x has less degree than x²
y=0 is a asymptoteVertical asymptote
x²-36=0x²=36x=±62. The cost of 5 pen is Rs 1200, find the cost of 1 pen.
Step-by-step explanation:
cost of 5 pen is Rs 1200,
cost of 1 pen is 1200/5 = Rs 240
Answer:
Rs 240
Step-by-step explanation:
1200÷5=240
look at the image to see the answer
For the function y=f(x), find f’(a)
Answer:
-1
Step-by-step explanation:
f(x) = x²+3x+1
f(a) = a²+3a+1
f'(a) = 2a+3
putting a = -2
2×(-2)+3
= -4+3
= -1
If (3a+4b)=16 and ab=4, find the value of (9a^2+16b^2).
Answer:
160
Step-by-step explanation:
(3a+4b) = 16
ab = 4
Square (3a+4b)
(3a+4b)(3a+4b) = 16^2
9a^2 + 12ab+12ab+16b^2 = =256
9a^2 +16b^2 +24ab=256
9a^2 +16b^2 +24ab - 24 ab=256 -24ab
9a^2 +16b^2 =256- 24ab
We know ab = 4
9a^2 +16b^2 =256- 24*4
9a^2 +16b^2 =256- 96
9a^2 +16b^2 =160
A solid is formed by rotating the region bounded by y = x − x^2 and y = 0 about the line x = 2 . Use the shell method to find the volume of the solid.
Answer:
The volume of the resulting solid is π/2 cubic units.
Step-by-step explanation:
Please refer to the diagram below.
The shell method is given by:
[tex]\displaystyle V = 2\pi \int _a ^b r(x) h(x)\, dx[/tex]
Where the representative rectangle is parallel to the axis of revolution, r(x) is the distance from the axis of revolution to the center of the rectangle, and h(x) is the height of the rectangle.
From the diagram, we can see that r(x) = (2 - x) and that h(x) is simply y. The limits of integration are from a = 0 to b = 1. Therefore:
[tex]\displaystyle V = 2\pi \int_0^1\underbrace{\left(2-x\right)}_{r(x)}\underbrace{\left(x - x^2\right)}_{h(x)}\, dx[/tex]
Evaluate:
[tex]\displaystyle \begin{aligned} V&= 2\pi \int_0 ^1 \left(2x-2x^2-x^2+x^3\right) \, dx\\ \\ &= 2\pi\int _0^1 x^3 -3x^2 + 2x \, dx \\ \\ &= 2\pi\left(\frac{x^4}{4} - x^3 + x^2 \Bigg|_0^1\right) \\ \\ &= 2\pi \left(\frac{1}{4} - 1 + 1 \right) \\ \\ &= \frac{\pi}{2}\end{aligned}[/tex]
The volume of the resulting solid is π/2 cubic units.
Answer:
pi/2
Step-by-step explanation:
I always like to draw an illustration for these problems.
For shells method think volume of cylinder=2pi×r×h
Integrate(2pi(2-x)(x-x^2) ,x=0...1)
Multiply
Integrate(2pi(2x-2x^2-x^2+x^3 ,x=0...1)
Combine like terms
Integrate(2pi(2x-3x^2+x^3) ,x=0...1)
Begin to evaluate
2pi(2x^2/2-3x^3/3+x^4/4) ,x=0...1
2pi(x^2-x^3+x^4/4), x=0...1
2pi(1-1+1/4)
2pi/4
pi/2
Solve for X
Answer choices
4
5
8
3
2
Both are supplementary angles so their sum will be 180°
[tex]\\ \sf\longmapsto -2x+54=142[/tex]
[tex]\\ \sf\longmapsto -2x=142-54[/tex]
[tex]\\ \sf\longmapsto -2x=88[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-88}{2}[/tex]
[tex]\\ \sf\longmapsto x=-44[/tex]
Answer:
Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.
I need answering ASAP please and thank you
Answer:
one
Step-by-step explanation:
The red graph intersects the blue graph at one point
That is the number of solutions to the system
Answer:
one
Step-by-step explanation:
I had to do this question once. It was hard. I remember the answer. it is one. You have to trust me.
point slope of the line equation, slope=4, passing through(7,2)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
apply your data
y-2 = 4(x-6)
Answer:
y−2= −2(x−7)
Step-by-step explanation:
khan academy says its right
Find the volume of the figure round your answer to the nearest tenth if necessary
Answer:
56.5
I think this is right
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.25t
Answer:
10 + .25t
Step-by-step explanation:
The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets
cost = 10 + .25t
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
a rational number between 11 and 12
Answer:
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
11.9
A teacher writes the algebraic expression 24C + 5m + 19.99 to represent the cost
of supplies she purchased for her classroom. She bought 24 packages of colored
pencils, 5 packages of markers, and a beanbag chair. Identify any variables,
coefficients, and terms in the expression. Tell what each represents.
Answer:
variables: m ,c
coefficients, 24, 5
terms 24c,5m,19.99
24C represents the cost of the colored pencils
24 packages at a cost of c each
5m represents the cost of the markers
5 packages of markers at a cost of m each
19.99 for the bean bag chair
Step-by-step explanation:
24C + 5m + 19.99
variables: m ,c
coefficients, 24, 5
terms 24c,5m,19.99
24C represents the cost of the colored pencils
24 packages at a cost of c each
5m represents the cost of the markers
5 packages of markers at a cost of m each
19.99 for the bean bag chair
akram is 20 year old and his sister shazia is 15
1-what was the ratio of their ages before 4 years
2-what was the ratio of their ages after 5 years
3-what do the above two points explain about ratios
Answer:
1) akram : shazia
20-4 : 15-4
16 : 11
2) akram : shazia
20 + 5 : 15 + 5
25 : 20
5 : 4
3) ratios are not always constant
add 10 and g, then subtract f from the result
Answer:
(10+g) -f
Step-by-step explanation:
Add 10 and g
10 +g
Subtract f from the result
(10+g) -f
What is the volume of a cone below?
Consider a normal population with a mean of 10 and a variance of 4. Find P(x < 6)
Answer: .0228
Step-by-step explanation: z = (6 − 10)/√4 = −2
P(X < 6) = .0228
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty seven triangles.
Answer:
Next three terms after 27 are 36, 45 and 54. I hope this will help .
Write an expression to represent: Four less than the product of one and a number xxx
Answer:
xxx-4
Step-by-step explanation:
(1×xxx)-4
yietisyksykd
Answer:
(1xxx)-4
Step-by-step explanation:
Since 1 and xxx are multiplied, they produce 1xxx and eventually 4 is subtracted so 1xxx-4 and I put the brackets just to make it clear about what is going on in the expression
Simply this rational expression.
URGENT! PICTURE INCLUDED
Answer:
35n/17r
Step-by-step explanation:
1. What is the midpoint of AB?
Answer:
(-4, -1/2)
Step-by-step explanation:
The endpoints of AB are (-5,-4) and (-3,3)
To find the midpoints add the endpoints and divide by 2
(-5+-3)/2, (-4+3)/2
-8/2, -1/2
-4, -1/2
