Answer:
Step-by-step explanation:
6x-6=6x+15
or, -6+6x=15+6x
adding -6x in both sides
or, -6 + 6x + -6x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 + 0 = 15 + 6x + -6x
or, -6 = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 = 15 + 0
or, -6 = 15
Solving
-6 = 15
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Answer:
x=7/4
Step-by-step explanation:
hope am correct
this is solved by collecting like terms
Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of your work to receive credit.
Answer:
53437.3639
Step-by-step explanation:
23y5o9-023.36839637836386378673676763767678362
Hi . I need help with this question. Please show workings.
Answer:
6km/h
Step-by-step explanation:
[tex]speed \: = \frac{distance}{time} \\ 50m \: = 0.5km \\ 30s \: = 0.0833333 \: hours[/tex]
[tex]speed \: = \frac{0.5}{0.0833333} \\ speed \: = 6.0[/tex]
Answer:
6 km/hStep-by-step explanation:
Solution,
Distance travelled = 50 m
Time taken = 30 second
Let's find the speed in meter/ second
Speed = [tex] \frac{distance \: travelled \: }{time \: taken} [/tex]
plug the values
[tex] = \frac{50}{30} [/tex]
[tex] = \frac{5}{3 \: } \: meter \: per \: second[/tex]
Now,Let's find the speed in km/ hour
[tex] \frac{5}{3} \times \frac{3600}{1000} [/tex]
Reduce the numbers with G.C.F 3
[tex]5 \times \frac{1200}{1000} [/tex]
Reduce the numbers with GCF 5
[tex] \frac{1200}{200} [/tex]
Reduce the fraction with 200
[tex]6 \: kilometer \: per \: hour[/tex]
Hope this helps..
Best regards!
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
Find the area of the shaded region. Plz help
help me with this question ;<;
Let's set this up in equation form!
We know that 15 equals b and 8 together.
15 = b + 8
b = 7
The value of b that makes the equation true is 7.
Hope this helps!! :)
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x2. Which of the following is the equation of Fx)?
ASAP
Answer:
B. f(x) = x^2 -2
Step-by-step explanation:
The graph of f(x) is the graph of g(x) moved down 2 units, so is ...
f(x) = g(x) -2
f(x) = x^2 -2
_____
Adding a constant to the value of a function moves the graph vertically by the value of the added constant.
From the set {5, 15, 20}, use substitution to determine which value of x makes the inequality true. x + 10 >25 A . 20 B. 5 C. none of these D. 15
Answer:
A.
Step-by-step explanation:
If x=5
5 + 10 is less than 25.
If x=15
15+10 is equal to 25
If x =20
20+10 is greater than 25
Calvin took his friends to a movie for his birthday. The movie tickets cost $12 per person. He spent less than $180. If x is the number of friends he took along, then the inequality that represents the situation is 12x≤180 180x ≥12 x+12≤180 12+x≥180 . Calvin took at most friends to the movie. 13 14 15 16
Answer:
12x<180
14
Step-by-step explanation:
12x<180
x<180/12
x<15
Since x has to be less than 15, he took at most 14 people.
Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (8, 10), parallel to the graph of y = x +7.
Select one:
Answer:
y=8/3x-34/3
Step-by-step explanation: If the line is parallel to y=8/3x+7, then the slope must be 8/3. So, we can eliminate A and B. Now, let's take C, and plug in (8, 10) into the equation. We end up with 10=64/3-34/3. 64-34=30. 30/3=10. 10 = 10. So, C is the correct answer. No need to check for D.
Help me ASAP for this question
Answer:
The third option is your answer
Step-by-step explanation:
Because the fee is equal 6% or 0.06 of the balance in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]
hope this helps, if it does please mark brainliest!!
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s notebook, and added the 50 numbers he found on the pages. Could Bob have gotten 2012 as the sum? Show your logic steps on how you draw your conclusion.
=====================================================
Explanation:
Page 1 is labeled with 1 and 2, which sum to 1+2 = 3
Page 2 is labeled with 3 and 4 which sum to 3+4 = 7
Page 3 is labeled with 5 and 6 which sum to 5+6 = 11
and so on until we reach
Page 96 is labeled with 191 and 192, which sum to 191+192 = 383
Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such
x = some odd number = 2m+1, m is any integer
y = some even number = 2n, n is an integer
x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer
This explains why the results 3,7,11,..,383 are all odd.
------------------------
So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.
If we add two odd numbers together, we get an even number (proof is similar to one shown above)
odd + odd = even
But if we add in another odd number, then we'll go back to an odd result
odd + odd + odd = odd
If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.
A woman bought some large frames for $10 each and some small frames for $5 each at a closeout sale. If she bought 27 frames for $180, find how many of each type she bought. She bought ____ large frames.
Answer:
Step-by-step explanation:
This is a guessing game. You assume how much there is, and then you check. I was led to the conclusion that there are 9 large frames and 18 small frames.
Answer:
She bought 9 large frames
Step-by-step explanation:
Create a system of two equations and two unknowns (the number of small frames that we call S, and the number of large frames that we call L).
The two equations become:
(a) L + S = 27 (since she bought 27 frames total)
(b) 10 L + 5 S = 180
Now, let's solve for S in the first equation: S = 27 - L
ad use it to replace for S in equation (b):
10 L + 5 (27 - L) = 180
10 L - 5 L + 135 = 180
5 L = 180 - 135
5 L = 45
L = 9
Therefore she bought 9 large frames
HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
Answer:
$252
Step-by-step explanation:
Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.
Please see attached picture for full solution.
Answer:
$252
Step-by-step explanation:
Step 1Toy has $36 and gets $36 from Ami. Now he has $36*2= $72
Step 2Toy gets $72 from Jan to double his money and now has $72*2= $144
Step 3Toy gives enough money to Ami and Jan to double their money
Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan
Since he doubles their money by giving $108, they now have
$108*2= $216Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:
$216+$36= $252So the friends have $252Find the constant of variation k for the direct variation
2x + y = 0
Answer:
2
Step-by-step explanation:
The constant of variation is 2 because the variable is x, and its coefficient, 2, is the constant of variation.
IDK what to put up here any more so imma copy-paste this
Answer:
its 3 units.
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
Points A and B have the same y value. Thus, subtract the x-values from each other to get 5 - 2 = 3.
Hope it helps <3
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
By 4 pm, Max would be 4y meters far ahead of Sven.
What is the distance?Distance is defined as the product of speed and time.
distance = speed × time
To determine the difference in the distance they have covered by 4 pm given the speed at which they traveled.
Given that, Max and Sven bike away from home in the same direction starting at noon
The time is the difference between the 4 hours between noon and 4 o'clock.
Max's current speed of x km/h,
The distance he would have traveled by 4 pm as
⇒ 4 × x
⇒ 4x meters
Max is biking at x mph while Sven is going y mph slower.
Max would therefore be going at (x-y) mph.
Max's distance covered would be 4(x-y) meters
At 4 p.m., the distance between their bikes would be as:
⇒ 4x - [4(x-y)]
⇒ 4x -(4x -4y)
⇒ 4x -4x + 4y
⇒ 4y
Hence, By 4 pm, Max would be 4y meters far ahead of Sven.
Learn more about distance here:
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A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)
Answer:
8.6 cm
Step-by-step explanation:
V=pi r-squared h
diameter of 10 means radius of 5
675.1=3.14x5x5xh
675.1=78.5h
8.6
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answer:
3.04 m²
Step-by-step explanation:
Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)
1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)
1x0.8=0.8 (two of these - front and back)
TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04
Total amount of screen that Alice will need for her habitat is 3.04 meter square
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Dimensions of the Caterpillar habitat is,
Width w=1 meter
Length l= 0.4 meter
Height h= 0.8 meter
Surface area = 2lw+2lh+2hw
=2×0.4×1+2×0.4×0.8+2×0.8×1
=0.8+0.64+1.6
=3.04 meter square
Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square
Learn more about Surface area here
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When solving this system of linear equations with the elimination method,
you can multiply the bottom equation by 3.
3x +6y - 38
3( 5x - 2y) = 3(-30)
This step works because of the
O A. commutative property
O B. multiplication property of equality
O C. distributive property
O D. addition property of equality
Answer:
B.
Step-by-step explanation:
Multiplication property of equality.
A simple example is
x = x Multiply by 3:
3x = 3x
This step works because of the distributive property - option C.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFor the given system linear system was used the distributive property. Because it was used as a common factor to multiply an expression with a sum.
Read more about the distributive property here:
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What is the value of the expression
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
(14+4)/3
18/3
=6
If it's right can i get brainliest.
Answer:
D) 6
Step-by-step explanation:
Plug in the values of a & b
[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]
WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
Answer:
b68
Step-by-step explanation:
Answer:
68 FEET
Step-by-step explanation:
B pls give me brainliest
Find the area of the trapezoid (Problem is highlighted in Pink)
Answer:
please mark my answer as the brainliest
Step-by-step explanation:
AREA = 1/2 * (b1+b2)h
A = 1/2 * (8+18)13.5
therefore area = 175.5cm^2
Answer:
Area = 1/2 * (B1+B2)hH
A = 1/2 * (8+18)13.5
Therefore the area = 175.5cm^2
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
Find the correct algebraic representation of the rotation shown below.
a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)
Answer:
-y, x
Step-by-step explanation:
x values go from negative to positive and the y values remain negative
suppose f(x)=x^3 find the graph of f(x+3)
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Which of the following arcs are congruent in the circle below?
A. AC = ABD
B. CD = BD
C. CD = AB
D. AB = BD
Answer:
C
Step-by-step explanation:
CB is congruent to AB because the both are 30 degrees
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).
When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...
3x -7y = constant
Negating the x-coefficient gives ...
-3x -7y = constant
Filling in the given point values, we can find the constant:
-3(7) -7(6) = constant = -21 -42 = -63
None of the answer choices matches this, but one does match when we divide the numbers by 2:
-3x -7y = -63
-1.5x -3.5y = -31.5 . . . . . . matches choice B
Answer:
y = (-3/7)x + 9
Step-by-step explanation:
IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent. Dividing both sides by 3 yields y = (7/3)x - 21.5/3. This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.
Thus PQ, being perpendicular to AB, has the slope -3/7. Starting with y = mx + b, and using the coordinates of P(7, 6), we get:
6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.
is x=-3 a function plz respond in one minute
Answer:
x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.
Step-by-step explanation:
Identify an equation in point-slope form for the line perpendicular to
y=-2x + 8 that passes through (-3,9).
O A. y - 9 =-2(x+3)
O B. y+3 (x-9)
O C. y-9 - (x+3)
O D. y + 9 = 2(x-3)
Answer:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Step-by-step explanation:
Given
Function; [tex]y = -2x + 8[/tex]
Required
Find an equation perpendicular to the given function if it passes through (-3,9)
First, we need to determine the slope of: [tex]y = -2x + 8[/tex]
The slope intercept of an equation is in form;
[tex]y = mx + b[/tex]
Where m represent the slope
Comparing [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];
We'll have that
[tex]m_1 = -2[/tex]
Going from there; we need to calculate the slope of the parallel line
The condition for parallel line is;
[tex]m_1 * m_2 = -1[/tex]
Substitute [tex]m_1 = -2[/tex]
[tex](-2) * m_2 = -1[/tex]
Divide both sides by -2
[tex]m_2 =\frac{ -1}{-2}[/tex]
[tex]m_2 =\frac{1}{2}[/tex]
The point slope form of a line is;
[tex]y - y_1 = m_2(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]
[tex]y - y_1 = m_2(x - x_1)[/tex]becomes
[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]
Open the inner bracket
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Hence, the point slope form of the perpendicular line is:
[tex]y - 9 = \frac{1}{2}(x +3)[/tex]
Plot the points A(-3, 2), B(-5, -4), C(-2, -4) and D(0, 2). What figure do you
get on joining the points in order (plz answer properly plz I beg you guys )
Answer:
It is a trapezium, I guess
Step-by-step explanation:
To know more see the picture attached