(X-7)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab +b²
(x - 7)² =x² - 2* x * 7 + 7²
= x² - 14x + 49
Simplify the expression. -8n - 2n
Answer:
-10n
Step-by-step explanation:
To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.
so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n
If it was -8n -2 you could not simplify it since the 2 is single and without the same letter
Same with -8n - 2p because it is not the same letter
A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?
A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750
Answer:
C) Rs. 9000, Rs. 9750Step-by-step explanation:
Let the sum allotted is x and 18750 - x.
Interest rate is 5%.
The interest amount is:
(18 - 12)*5% = 30% and(18 - 14)*5% = 20%We have equation below to compare final amounts:
x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000Correct choice is C
1. 4x^2 +3x+2 and 7x^2+7x+3
Answer:
-x2 + 9x - 15
—————————————
3
Step-by-step explanation:
-x2 + 9x - 15
—————————————
3
what is an estimate for the square root of -93
Answer:
approximately 9.64Step-by-step explanation:
The square root of 93 is approximately 9.64.
Answer:
9.3 or 9.4Step-by-step explanation:
We need to estimate √93.
Use formula below:
[tex]\sqrt{x^2+y} =x +(x/2y)[/tex]or
[tex]\sqrt{x^2-y} =x -(x/2y)[/tex]In the given case the formula works as:
[tex]\sqrt{93} =\sqrt{9^2+12} =9+(9/2*12) = 9+(9/24)=9.4[/tex]or
[tex]\sqrt{93}=\sqrt{10^2-7} =10-(10/2*7)=10 - 5/7 = 9.3[/tex](Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
Which of the following is equivalent to 16 3/2
Answer:
b is the answer because I don't know what to do with it and
Help me please!! it's due today
Answer:
the answer would be 14-16=-2
Step-by-step explanation:
first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answer:
5
Step-by-step explanation:
Start with 9. Then do the opposite operation starting from the end.
9
√9 = 3
3 - 1 = 2
2 × 6 = 12
12 - 7 = 5
Answer: 5
American society is made up of people of the same cultural background.
Please select the best answer from the choices provided
T
F
Answer:
false
Step-by-step explanation:
(x-4)^2-(x-4)(x+3)=35
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
(x -4)² - (x - 4)(x +3) = 35
x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35
x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35
x² - 8x +16 - [ x² -x - 12] = 35
x² - 8x + 16 -x² + x + 12 = 35
x² - x² - 8x + x + 16 + 12 = 35 {Combine like terms}
-7x + 28 = 35
-7x = 35 -28
-7x = 7
x = 7/-7
x = -1
Ezra and Benji are playing the game with Harrison. After Ezra doubles his hand's value, he has a total of -12.5 points. What was his hand's value before
he doubled it?
if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c
Answer:
a:c= 3/5 = 0.6
a:b:c= 3/4/5=0.15
f(x) = 2(x − 2)2 + 3
Answer:
4x-5
Step-by-step explanation:
the answer is 4x-5 as we apply multiplication and subtraction
I need a helping hand please
Joseph compared the graphs of two functions.
The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.
Answer:
There is no separation (distance) between the first y-intercept (6) and the second (6).
Step-by-step explanation:
We'll assume that the table shows points on a straight line.
If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12). Thus, the slope of the line represented by the table is
m = rise / run = -12/6, or m = -2.
We need to find the equation of the line represented by the table, so that we can know the y-intercept. Start with y = mx + b and substitute -2 for m:
y = -2x + b. We arbitrarily choose an ordered pair from the table, such as (11, -16). Here we substitute 11 for x and -16 for y:
-16 = -2(11) + b, or
-16 = -22 + b, which yields b = 6.
This is the same y-intercept as the '6' in the given f(x) = -2x + 6. So: There is no separation (distance) between the first y-intercept (6) and the second (6).
A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?
Answer:
Yes
Step-by-step explanation: All of these winnings become part of his gross income.
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
A group of 3 adults and 10 children bought tickets to watch a dance performance.Each adult ticket cost $7 more than each child ticket.The group paid a total of $125.Find the child ticket cost.
Answer:
8$
Step-by-step explanation:
What is the total surface area of a cylinder with a diameter of 10.8 and a height of 2.6?
Answer:
271.433606 (in, cm, or whichever unit)
Step-by-step explanation:
To find the areas of the ends of the cylinder, the circles, you would use the formula:
2(π * r²)
The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.
2(π * 5.4²) = 183.217684
To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.
Then add the areas to find the total.
183.217684 + 88.2159218 = 271.433606
some one please
change the subject to x
a+b/x=r
Answer:
X = b(r - a)
Step-by-step explanation:
b/x = r - a
X = b( r - a)
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?
I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!
Answer: $48
Step-by-step explanation:
132 - 84 = 48
Pls help me with this!!
Answer:
76 quarters, 3 dimes
Step-by-step explanation:
if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents
Answer:
66 Quarters and 28 dimes
Step-by-step explanation:
.10d + .25Q = 19.3Q
d + Q = 94
so d = 94 - Q
Substitution method:
.10(94 - Q) + .25Q = 19.30
9.4 - .10Q + .25Q = 19.30
9.4 + .15Q = 19.30
.15Q = 9.9
Q = 66 so d = 94 - 66 = 28
Can you explain how to solve this problem, already know the answer
So, the slope is -3/5, and the y axis is unidentified.
A point is located at (6,-5). We will use this point.
In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.
We will also use 6 from the point to give us a dot in the x-coordinate.
We will then divide 5 from the 6 to give us how much we have to go up or down
6/5
We will then use the -3 in the slope.
We will times -3 to the 6/5 in order to know how much we have go up or down.
-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)
y = -3/5x + 1 2/5
The y = 13, we will plug it in the equation.
13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)
11 3/5 = -3/5x (times 5 on both sides)
-3x = 58 (divide -3 on both sides)
x = -58/3
simultaneous equations!!
solve the following pair of equations for x and y:
y + 4x = 27
xy + x = 40
Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h[tex]2[/tex] b[tex]\2[/tex])/2
Plzzzzz help meeeeeeee plzzzzz
Answer:
1) The profit made is $560.
2) Don't know sorry!!
3) A student will pay $1134 for a calculator.
Step-by-step explanation:
write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola
Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
The graph is sketched at the end of this answer.
The Factor Theorem states that a polynomial function with roots is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].Then:
[tex]f(x) = a(x - 2)(x - 2)[/tex]
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
[tex]5 = a(12^2 - 4(12) + 4)[/tex]
[tex]100a = 5[/tex]
[tex]a = \frac{5}{100}[/tex]
[tex]a = 0.05[/tex]
Hence, the parabola is:
[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
At the end of this answer, the graph with five points is sketched.
A similar problem is given at https://brainly.com/question/24380382
Enlarge triangle ABC by scale factor -2, centre (4,2)
Answer:
see attached
Step-by-step explanation:
The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.
For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).
C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).
A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).
help pls ! i need to do this and i cannot figure this out
Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?
Answer:
610
Step-by-step explanation:
Multiply the monthly $40 by the 9 months
(40 times 9 = 360)
Then you would need to add in the original $250 deposit money
(360 + 250 = 610)