Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
please click thanks and mark brainliest if you like :)
Which of the following are good ideas to use when gathering your resources?
Check all that apply.
O A. Form an equation:
B. Draw a diagram.
C. List potential formulas.
D. Guess at the solution and see if you are close.
E. Organize into a table.
F. Write down the facts.
Answer:
Organize into a table for good gatherings.
G is a transformation of f. What is the formula of g in terms of f?
A. [tex]-\frac{1}{2}f(x)[/tex]
B. -2f(x)
C. f ([tex]-\frac{1}{2}x[/tex])
D. f(-2x)
Answer:
C
Step-by-step explanation:
First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by
f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us
f(c(x))
= f(1/2(x))
Let's say f(a) = f(1/2(x))
Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in
f (-(a))
= f(-(1/2)(x))
= g(x)
A man makes a profit of 15%6y selling an article for Rs 2500. For what price should he sellituto make a profit of 38%
Find the price before the 15% profit:
2500 / 1.15 = 2173.91
Now multiply the original cost by 1 + 38%:
2173.91 x 1.38 = 2999.99
Answer: 2.999.99 ( may need to round to 3,000)
12 flowers are planted in a squared garden.How many garden are needed for this purpose?
answer:
tell us why the other gardens are needed
What is a valid card number for a MasterCard? A) 4224 1801 2345 6781
B) 4224 1801 2345 6789
C) 5424 1801 2345 6781
D) 5424 1801 2345 6789
Answer:
please mark me brainliest
Step-by-step explanation:
Mastercard cards – Begin with a 5 and has 16 digits. American Express cards – Begin with a 3, followed by a 4 or a 7 has 15 digits. Discover cards – Begin with a 6 and have 16 digits. Diners Club and Carte Blanche cards – Begin with a 3, followed by a 0, 6, or 8 and have 14 digits.
The valid mastercard number is D) 5424 1801 2345 6789.
What are the steps to find a valid card number?The steps to find valid card number are-
Step 1a. For a card number with an even number of digits (e.g., Visa or MasterCard), double alternating digits starting with the first digit in the sequence.
Step 1b. For a card with an odd number of digits (e.g., American Express), double alternating digits starting with the second digit in the sequence.
Step 2. If the doubling resulted in a number with two digits, add them together to get a single digit number
Step 3. Now go back to the original credit number and replace the digits that you doubled with the new value — either the doubled value, or the doubled value with the digits added together — and add it all up.
Step 4. Check to see if the sum is evenly divisible by 10 (you can simply look to see whether or not it ends with a zero).
Now the given options are
A) 4224 1801 2345 6781
B) 4224 1801 2345 6789
C) 5424 1801 2345 6781
D) 5424 1801 2345 6789
Here we see that, the card number 5424 1801 2345 6789 is a master card since it is starting with 5 and Since there are sixteen digits, we’ll start by doubling the 1st, 3rd, etc. digits and then summing.
(1+0) + 4 + (4) + 4 + (2) + 8 + (0) + 1 + (4) + 3 + (8) + 5 + (1+2) + 7 + (1+6) + 9
This totals up to 70, which is evenly divisible by 10. In other words, this is a potentially valid mastercard number.
Thus, the valid mastercard number is D) 5424 1801 2345 6789.
To learn more about cards :
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Help Find the square root
Answer:
√121=11
√81=9
√4=2
√100=10
√144=12
√36=6
√16=4
√1=1
√49=7
√25=5
√9=3
√64=8
I hope this helps
I've provided a screenshot below. In the question, I don't understand why it can't be D. Like both C and D have the same slope, y= 2/3x. The only difference is what comes after for those two. So why is it y=2/3x -12 and not y= 2/3x +1 ???
Choice C is the only equation with slope 2/3, while choice D has slope -2/3. This subtle difference is enough that the two lines are not parallel. The positive slope line goes uphill when moving to the right. The negative slope line goes in the opposite direction: it goes downhill when moving to the left.
The graph is below comparing the original equation with choices C and D. I used GeoGebra to make the graph, but you could use any other tool you want (eg: Desmos).
Answer:
y = 2/3x - 12 is correct
Step-by-step explanation:
D is incorrect because the slope is -2/3
To have a parallel line, you have to have the some slope, but a different y- intercept
Ill graph y = -2/3x + 1 and y = 2/3x + 5/6 and show you:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Josh has an aquarium 30 inches deep it takes him 5 minutes to fill the bucket with 3 inches of water he estimates that it will take him under an hour to fill the entire bucket with water if you correct explain why or why not
I assume your question should be rephrased as "Josh has a bucket 30 inches deep..."
Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water.
Given:
The bucket is 30 inches deepIt takes Josh 5 minutes to fill the bucket with 3 inches of waterTo find: If Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water
It is given that, to fill the bucket with 3 inches of water, it takes Josh 5 minutes.
Using Unitary method, we can say that, to fill the bucket with 1 inch of water, it takes Josh [tex]\frac{5}{3}[/tex] minutes.
Then, to fill the bucket with 30 inches of water, it takes Josh [tex]\frac{5}{3} \times 30[/tex] minutes.
Solving, we can say that it takes Josh 50 minutes to fill the bucket with 30 inches of water.
Since the bucket is 30 inches deep, we can say that it takes Josh, 50 minutes to fill the entire bucket, which is just under an hour.
So, Josh is correct in assuming that it will take him under an hour to fill the entire bucket with water.
Learn more about Unitary method here:
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On a recent math test, Samantha scored 3 points for each of the 18 multiple choice questions she
answered correctly and 5 points for each of the 6 short response questions she answered
correctly.
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18 multiple choice questions, this means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short response questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: https://brainly.com/question/16397188
solve the equation 3(17x-6.5)=108
a. x=-1.5
b. x=2
c. x=2.5
d. x=5.2
Answer:
C
Step-by-step explanation:
3(17x-6.5) =108
=17x-6.5=36
=17x =36 +6.5
= 17x=42.4
=x =2.5
Answer:
x= 2.5
Step-by-step explanation:
3(17x-6.5)=108
Divide each side by 3
3/3(17x-6.5)=108/3
17x - 6.5 = 36
Add 6.5 to each side
17x-6.5+6.5=36+6.5
17x = 42.5
Divide by 17
17x/17 = 42.5/17
x= 2.5
Consider a triangle ABC like the one below. Suppose that a=51, b=16, and A=108. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".
Answer:
B = 17.4°
C = 54.6°
c=43.7
Can someone help me on this ASAP it’s very tricky
Well the two equations are in y=mx+b form, also known as slope-intercept form.
The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...
When X = 0...
First equation: Y=7
Second Equation: Y=-6
On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.
So the second point is (6,-1).
FIRST EQUATION ONLY: Plot (0,7), (6,-1)
For the second I wont be elaborate as much but its (0,-6), (3,-10)
Brainiest/Heart if helpful!
Answer:
(-6, 2)
Step-by-step explanation:
When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.
When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.
The answer is the point they intersect, or cross. That would be (-6, 2).
I hope this helps!
pls ❤ and mark brainliest pls!
Which of the following is a rational number?
square root 97
square root 98
square root 99
square root 100
Answer:
[tex]\sqrt{100}[/tex] is a rational number
Step-by-step explanation:
[tex]\sqrt{97}=9.848857.....\\\\\sqrt{98}=\sqrt{2*7*2}=2\sqrt{7}\\\\\sqrt{99}=\sqrt{3*3*11}=3\sqrt{11}[/tex]
Square root of all prime numbers are irrational numbers
[(63 ÷ 18)2 − 8] * 5 pls help meee
Answer:
-5
Step-by-step explanation:
use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.
[(63/18)2-8]*5
[(3.5)2-8]*5
3.5*2 is 7
[7-8]*5
[-1]*5 = -5
[tex]x^{2} +5x+3[/tex]+2x^{2}+10x-15=0
please mark this answer as brainlist
given m||n, find the value of x
Answer:
x=16
Step-by-step explanation:
The angles indicated are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
5x+28 = 7x-4
Subtract 5x from each side
5x+28 -5x = 7x-4-5x
28 = 2x-4
Add 4 to each side
28+4 = 2x-4+4
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Step-by-step explanation:
(5x+28)=(7x-4)
2x=32
x=16
All even numbers are
Answer:
2 4 6 8 10 12 14 16.....................................................
Answer:
even numbers are
Step-by-step explanation:
2,4,6,8,10,12,14,16,18,20,24,26 and so on
please mark me brainliest I will follow youPoint M is the midpoint of AB. The coordinate of point A are (-8,3) and the coordinates of M are (-2,1). What are the coordinates of point B?
Answer:
(4, -1)
Step-by-step explanation:
xB = -2+(-2-(-8)) = -2 +6 = 4
yB = 1+(1-3)=1+(-2) = -1
so, the coordinates of point B => (4, -1)
Topic: Simultaneous equations Class 9 ICSE
Denote the number by 10a + b, where both a and b are integers picked from {1, 2, 3, …, 9}.
"the difference of whose digits is 3" ==> |a - b| = 3
"4 times the number is equal to 7 times the number obtained by reversing the digits" ==> 4 (10a + b) = 7 (10b + a)
Simplifying the second equation, you get
40a + 4b = 70b + 7a
33a - 66b = 0
a - 2b = 0
Assume a > b, in which case we would have |a - b| = a - b, so
a - b = 3
Eliminate a to solve for b, then for a :
(a - b) - (a - 2b) = 3 - 0
b = 3 ==> a = 6
Then the original number is 63.
If instead we had assumed a < b, we would have had |a - b| = b - a = 3. Then
2 (b - a) + (a - 2b) = 2×3 + 0
-a = 6
But neither a nor b can be negative, so this case is moot.
If the average of 5 consecutive even number is 24, what's the largest number ?
Answer:
24÷5 =4.5 I think this is write but I don"t it's right or not
In AFGH, mZF = (6x – 14), mZG = (4x – 8)°, and m_H = (x + 15)°.
Find mZF.
Answer:
Step-by-step explanation:
(6x - 14)° + (4x - 8)° + (x + 15)° = 180°
11x - 7 = 180
11x = 187
x = 17
m ∠ F = ( 6 × 17 - 14 )° = 88°
Which ordered pair is a solution to the following linear system?
y = x
y = –x
Question 3 options:
(0, 0)
(0, 1)
(1, 1)
(1, 0)
(0,0)
How?
Putting values
[tex]\\ \sf\longmapsto y=x[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
And
[tex]\\ \sf\longmapsto y=-x[/tex]
[tex]\\ \sf\longmapsto 0=-0[/tex]
Hence verified
Pleaseee i'm struggling so hard on this Geometry thing, show work please
Answer:
(12x+1)+(5x-3)=117
combine like terms 12x+5x=17x
1+-3= -2
17x-2=117
add 2 to both sides to isolate the variable
17x=119
divide both sides by 17 to further isolate the variable
x=119/17
x=7
answer is x=7
Step-by-step explanation:
add both angles to be the sum of the angle DEF and determine what x must be by the steps above
Answer:
x=7°
Step-by-step explanation:
Form an equation:
12x+1+5x-3=117°
Collect like terms:
Like terms are terms with the same variables and powers.
12x+5x=17x
1-3=-2
put I back into an equation:
17x-2=117°
As we want x, you would have to do inverse operations to 'undo the equation'.
117+2=119°
17x=119°
119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)
So, x=7
Hope this helps :)
2x +4>- 6 and 5x -12<3
Step-by-step explanation:
bzbzbsbbsbsbsbsbsbsbsbbsbs indian
PLEASE HELP WILL MARK BRAINLIEST
Answer:
I believe its negative nonlinear association
Step-by-step explanation:
The line is going down so its definitely negative
And the line is not straight so its not linear
Therefore, its negative nonlinear association
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)
A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1
Answer:
A
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2x - 5)(x + 4) ← expand using FOIL
= 2x² + 8x - 5x - 20
= 2x² + 3x - 20 → A
Expand.
Your answer should be a polynomial in standard form.
Answer:
-p^4 + 4p^3 - 5p^2 + 8p - 6
Step-by-step explanation:
Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.
When we expand:
-p^4 - 2p^2
+ 4p^3 + 8p
-3p^2 - 6
Group, ordering from highest to lowest "degree" (exponent).
-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6
Combine like terms.
-p^4 + 4p^3 - 5p^2 + 8p - 6
There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag
Answer:
416 g
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )
sum of 5 pods = 1990 g
let x be the weight of the sixth pod , then
[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )
1990 + x = 2406 ( subtract 1990 from both sides )
x = 416
That is the weight of the sixth pod is 416 g
Plz help me out asap
Answer: c. always
Step-by-step explanation:edmentum
32
Two forces one is 10N and other is 6N act on a body The directions are unknown the resultant force on the body is
a. between 4 and 16N
b. more than 6N I
c. more than 1ON
d between 6 and 16N
If Forces are acting on opposite direction
[tex]\\ \rm\hookrightarrow F_{net}=F_2-F_1[/tex]
[tex]\\ \rm\hookrightarrow F_{net}=10-6[/tex]
[tex]\\ \rm\hookrightarrow F_{net}=4N[/tex]
If both acting on same direction
[tex]\\ \rm\hookrightarrow F_{net}=F_1+F_2[/tex]
[tex]\\ \rm\hookrightarrow F_{net}=10+6[/tex]
[tex]\\ \rm\hookrightarrow F_{net}=16N[/tex]
Hence
[tex]\boxed{\sf 4N\leqslant F_{net}\leqslant 16N}[/tex]
