Answer:
y = -1/2x-1 would have a x-intercept of -2 when graphed!
Which of the following pairs are NOT equivalent statements?
In x = y and x = e^y
log⬇️p N = b and b^p = N
x = sqrt y and x = y^1/2
log⬇️b N = p and B^p = N
Answer:
the answer is b
Step-by-step explanation:
bc they are not both equivalent.
The pair (B) is not equivalent after using the property of logarithm option (B) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
It is given that:
The expression is given in the options.
As we know, the expression can be defined as the combination of constants and variables with mathematical operators.
It is required to find the equivalent pairs:
A) In(x) = y and [tex]\rm x = e^y[/tex]
As we know from the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]
Again using the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are not equivalent.
C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]
Using the property of exponent we can write the above expression:
The pairs are equivalent.
D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.
Learn more about the Logarithm here:
brainly.com/question/163125
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solve the square root of 2x-5=x-4
Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.
Answer:
The corresponding side length is 8 inches
Step-by-step explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches
A telephone poll asked people whether they like playing golf. Of the 100 people polled, 4 like playing golf. What percentage of the people polled like playing golf?
Answer:
4%
Step-by-step explanation:
The percentage of the people polled like playing golf =( people that liked playing golf / total number of people polled) x 100
(4/100) x100 = 4%
~Can ~ someone ~ help ~ me ~ out ~ please?~
A circular plate has a radius of 22 centimeters. What is the area of the plate?
Rewrite the explicit formula in function form. The identify the y-
intercept of the function.
an = 10+2(n-1)
Answer:
We have the relation:
aₙ = 10 + 2*(n - 1)
And we want to write this in fuction form:
y = f(n)
first we have:
aₙ = y = 10 + 2*(n - 1)
We can rewrite this as:
y = 10 + 2*n - 2
y = 2*n + (10 - 2)
y = 2*n + 8
Now we want to find the y-intercept, this is the value of the function when the variable is equal to zero.
Then if we take n = 0, we get:
y = 2*0 + 8
y = 8
The y-intercept is 8.
The original price of a CD is 9.95 tax is 4% what the answer
Answer:
$9.55
Step-by-step explanation:
4/100=0.04
0.04x9.95=0.40
9.95-0.40=9.55
4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.
HELP PLEASE!! SOLVE FOR "X"
Answer:
[tex]x=\frac{c^2y^2}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]
Answer:
c²y²
x = ----------
4
Step-by-step explanation:
Let's isolate √x: Multiply both sides of this equation by c/2. We get:
c*y
√x = ---------
2
To find an expression for x, square both sides of this result:
cy
x = {------ }²
2
This is equivalent to:
c²y²
x = ----------
4
please help with this question (the attached image)
Answer:
it is c
i had this test pls marek me brainlyesest
Answer:
Your awnser is C.
Step-by-step explanation:
.
Hector is decorating a ballroom ceiling with garland. If the rectangular ceiling is 65 meters by
72 meters, how much garland will Hector need to reach from one corner of the ceiling to the
opposite corner?
meters
Submit
Answer:
d = 97 m
Step-by-step explanation:
Given that,
The dimensions of the rectangular ceiling is 65 meters by 72 meters.
We need to find how much garland will Hector need to reach from one corner of the ceiling to the opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :
[tex]d=\sqrt{65^2+72^2} \\\\d=97\ m[/tex]
So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.
I need 6x-8=5x+4 solved
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
Pls help and show workings.... due ASAP
SHOW WORKINGS PLEASE!
Answer: 7.29 or 7 1/4 or 29/4 (they're all equal, just rewritten)
Step-by-step explanation:
the angles are equal, so we set the equations to each other and then solve. here's my work:
12k - 9 = 8k + 20
12k (- 8k) - 9 = 8k ( - 8k) + 20
4k - 9 = 20
4k -9 ( + 9) = 20 ( + 9)
4k = 29
k = 7.29 or 7 1/4 or 29/4
Raul empuja su auto de 950 KG sobre una pista rugosa e inclinada 15,0 con una fuerza paralela a la pista, cuya magnitud es de 200 N. Determina el trabajo mecanico hecho por el peso sobre el auto para un desplazamiento de 5,00m (gravedad=10m/5)
Answer:
966 joules
Step-by-step explanation:
Step one:
given data
mass of car= 950kg
angle of incline= 15°
Applied force= 200N
displacement = 5m
If we apply a force on an object through a distance work is done, hence Mechanical work is the product of a force applied on an object and its displacement while that force is applied
Step two:
Work done= Force * distance
Since the car is moved on an inclined plane, the expression for the work done is
Work-done= Frcos∅
where r is the distance moved
Work-done= 200*5cos 15
Work-done= 200*4.83
Work-done= 966 joules
Tyler and Cassie both work as furniture movers on the weekends. The equation
y = 35x + 50 represents the amount of money, y, Tyler earns after working hours. The equation y = 25x + 80 represents the amount of money, y, Cassie earns after working x hours. After working how many hours will Tyler and Cassie earn equal amounts?
Answer:
No Tyler and Cassie will not earn equal amounts
Step-by-step explanation:
Mia buys a house for $95,500, restores it, and then sells it for $126,060. Find the percent of change.
Answer:
32%
Step-by-step explanation:
(126060$-95500)/ 95500
30560/95500×100%
32%
Question 4 of 10
What is the distance between the points (3, 7) and (15, 16) on a coordinate
plane?
Answer:15
Step-by-step explanation:
distance = Sqrt((x2-x1)^2 +(y2-y1)^2)
15-3 =12
16-7=9
12^2 = 144
9^2 = 81
144+81 = 225
square root of 225 = 15
the distance is 15
Graph the following equation.
y = 3x + 4
SAM ≅ ΔZYX ,
Options:
M = 36
M = 60
M = 84
M = 102
Answer:
M = 36
Step-by-step explanation:
Since SAM = ZYX
We can assume that all angles on SAM will equal the same as ZYX.
There are 180° total in a triangle, so you add 60 + 84, which equals 144, then you subtract 144 from 180 to find the remaining angle.
Therefore M = 36°
Select all the zeros of the following polynomial
F(x)=(x-3)(x+2)(x-4)
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line?
Answer:
y=-2.5x-8.5
Step-by-step explanation:
I really need answer or I’mma flunk uh oh
Answer:
0u
7u
6u
2u
Step-by-step explanation:
All of these question are just a matter of adding like terms
For the first one we have
7u+(-u)+(-6u)
which is equal to
7u-u-6u
Which I'm sure you can see is equal to 0 or 0u
10/2u+2u
10/2u=5u
5u+2u=7u
6u+0u
0u=0
6u
6u+(-4u)
6u-4u
2u
Answer:
easy pz hot eggs are cheesy, 1 is 0u number 2 is 7u number 3 is 6u and number 4 is 2u
Step-by-step explanation:
thank me
Plz help due tomorrow
Answer:
C.
Step-by-step explanation:
p/6+(q+8)
They are just adding not multiplying.
C is the answer they just changed the order of the numbers
like saying 3+4+5=5+4+3
Help please. time is really hard for me! Thanks
Answer:
40 minutes
Step-by-step explanation:
47-7 is 40
I'm having trouble with this question from writing linear equations given two points worksheet by Kuta software can you help? question: (-20, -16), (-1, 18)
Answer:
19y - 34x = 376
Step-by-step explanation:
We are to write the linear equation of a line passing through the points
(-20, -16), (-1, 18)
Using the points slope form of the equation expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is any point on the line
m = y2-y1/x2-x1
m = 18-(-16)/-1-(-20)
m = 18+16/-1+20
m = 34/19
Substitute the slope m =34/19 and the point (-1, 18) into the expression given
y- 18 =34/19(x-(-1))
19(y-18) = 34(x+1)
19y - 342 = 34x+34
19y-34x = 34+342
19y - 34x = 376
Hence the required equation is 19y - 34x = 376
If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
Subject:Mathematics
Answer:
Multiply the length times the width
Step-by-step explanation:
First one finds diameter, third one finds diameter, and fourth one finds triangle. The second one finds the area of a rectangle.
Answer:
I think it is b or length times width
Write the exponent for the expression.
15 × 15
The exponent for the expression is ___
Answer:
2. i think. correct me if im wrong.
Answer: The answer is 2
Step-by-step explanation:
what equation represents the line show
Answer:
From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.
Please help me due today desperate
Answer:
Slope is 1
Step-by-step explanation:
(-4,-1) (-3,1)
m = y2 - y1 / x2 - x1
Answer:
2
Step-by-step explanation:
Slope is defined as change in y over change in x
if we count, we can tell that the change in y is up 2 boxes for every 1 box you take to the right. We count 1 box right every time so we are always going in the positive direction.
Since slope is change in y over change in x, then you get 2/1 = 2.