Answer:
see below
Step-by-step explanation:
f(x) = x^2 – 2x – 3
To find the roots, set the equation equal to zero
0 = x^2 – 2x – 3
Factor, what two numbers multiply to -3 and add to -2
-3 * 1 = -3
-3 + 1 = -2
0 = (x-3)( x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Answer:
3
Step-by-step explanation:
cuz i said so lol
Find the volume of prism
Pls!! Show how you got the volume
Answer:
The original or the Bigger prism's volume would be 15 x 6 x 10= 900 cubic centimetres given that the smaller prism has not been cut out.
the volume of the cut-out cube would be 6 x 4 x 6= 144 cubic centimetres
so the original volume of the prism is 900 - 144= 756 cubic centimetres
Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______
Answer:
g(x)=(x^2)-3
Step-by-step explanation:
f(x) is shifted down by 3 units
Given that a = (1), b = (2) and c = (0)
2-122
Find :
1. a + b
2. a - b
3. a-c
4. a + c
5. a + b + c
6. a-b-c
7. c-a
8. b-a
9. b + c
10. C - b
Step-by-step explanation:
1+2=31-2=-11-0=11+0=11+2+0=31-2-0=-10-1=-12-1=12+0=20-2= -2what is the answer 2+2=4-5/25
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
complementary
Step-by-step explanation:
to complete 90 gradus
_________________________________
Hey!!
<a and <b are complementary angles.
Complementary angles are those angles which are exactly 90 degree.Hope it helps
Good luck on your assignment
__________________________________
PLEASE help, i will give brainliest<3
Please simplify then determine the value of the polynomial when n=3 and when n=2.
a) (5n^2 + 3n -4) + (-3n^2 + 4n -1)
b) (7n^2 - 5n - 2) - (-n^2 + 6n + 8)
Answer:
a. 34
b. 0
Step-by-step explanation:
you plug the n values as n
note when -n^2, you do this:
[tex]-(2)^{2}[/tex]= -4
so don't mistake it for +4
pay special attention to the signs to solve like:
+ times - is a negative!
Answer:
Simplified Expression a ) 2n^2 + 7n - 5,
Simplified Expression b ) 8n^2 - 11n - 10,
When n = 3 part a ) 34,
When n = 2 part a ) 17,
When n = 3 part b ) 29,
When n = 2 part a ) 0
Step-by-step explanation:
Consider the " simplification " process at hand;
[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]
[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]
For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;
Value of each polonomial;
[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]
[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]
Each expression was solved through substitution and algebra.
" Simplified " Solution - See in answer above
* I hope the answer wasn't too confusing, for further information look through my response thoroughly
Solve for x in the equation x squared minus 12 x + 59 = 0.
Answer:
4 11/12
Step-by-step explanation:
x2−4x−12<0
x2+10x−24<0
x−1=2y
x=−5912
Decimal Form:
x=−4.91¯6
Mixed Number Form:
x=−4 11/12
Answer:
There is no solution to this.
Step-by-step explanation:
Maybe check for a typo?
you would first need to calculate the discriminant, D= b^2-4 a c
D= (-12)^2 -4*1*59
Simplify
D=-92
Since D<0, the quadratic equation has no real solutions.
What is the square root of 9?
Answer:
±3
Step-by-step explanation:
sqrt(9)
3*3 = 9
-3*-3 = 9
sqrt(9) = ±3
Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);
C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these
Answer:
select answers: A), B), C), D), and E)
Step-by-step explanation:
Please see attached image with the figure obtained by joining the given points.
Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:
rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.
Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)
Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.
Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.
Therefore you need to select answers: A), B), C), D), and E)
which of the following is a solution of y > |x| -5?
A.(-4,1)
B.(-1,-4)
C.(4,-1)
Answer:
the answer is A. (-4,1)
Step-by-step explanation:
because the point is inside of the shades area of the function. meaning is including the value. the other two points are in the dotted line meaning is not included
Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.
Answer:
15000 - 750x
Step-by-step explanation:
Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.
Let
y = dollars
x = number of months
Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .
The amount will also be reducing by $750 per month
Therefore,
How far she is from her goal can be represented with the equation
15000 - 750x
Which expression is equivalent to 243 ?
1
23
23/3
216
23/6
Answer:
B.
Step-by-step explanation:
[tex]24^{\frac{1}{3} }[/tex]
=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]
=> [tex](2^3*3)^{\frac{1}{3} }[/tex]
=> [tex]2\sqrt[3]{3}[/tex]
The perimeter of a pentagon is 20t + 7.
Four sides have the following lengths:
6t, 2t, 4t – 5, and 5t + 1.
Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
Which word describes a triangle with three angles, if each angle measures less than 90°?
Answer:
acute triangle
Step-by-step explanation:
A triangle with all angles less than 90 degrees has all angles that are acute.
Acute angles are less than 90 degrees
The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?
A. Inches
B. Square inches
C. Cubic Inches
D. None of the choices
Answer:
Inches
Step-by-step explanation:
Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.
Inches units represents the diameter of the circle.
Please mark brainliest
Hope this helps.
[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?
Answer:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x( x - 7 ) + 3 ( x - 7 ) = 0
( x + 3 ) ( x - 7 ) = 0
x + 3 = 0 and x - 7 = 0
x = -3 and x = 7
[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. Please help!!!!!!!!!!!!
Answer:
d = [tex]\frac{2S-2an}{n(n-1)}[/tex]
Step-by-step explanation:
Given
S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Multiply both sides by 2 to clear the fraction
2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n
2S = 2an + n(n - 1)d ( subtract 2an from both sides )
2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)
[tex]\frac{2S-2an}{n(n-1)}[/tex] = d
Answer:
Hope this helps:)
If so please mark me as Brainliest.
A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the sample space for this experiment?
Answer:
The set of all pages in the book:
S={1, 2, 3, ..., 428}
Step-by-step explanation:
The sample space is the set containing all possible outcomes for the experiment. In this problem, the experiment is stopping at a random page of the textbook, and the sample space is the set of all pages in the book:
S={1, 2, 3, ..., 428}.
Answer:
s
Step-by-step explanation:
An entry level programmer's annual pay is $58.916 based on 52 weeks per year. Due to the economy, his company is having to cut back on
the number of weeks that it employs its programmers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how
much should the programmer expect his annual pay to decrease? Round your answer to the nearest dollar
Answer: $1133
Step-by-step explanation:
Programmer's pay for 51 weeks will be
(51 * 58916) / 52 = 57,783
Loss in salary
= 58916 - 57783 = 1133
Simplify the following as much as possible:
6a – 3a + 9a
Answer: 12a
Step-by-step explanation:
All we need to do is combine the like terms. Which all of them have the common variable a so we can add and subtract them together.
6a - 3a + 9a
Working left to right according to pemdas we can subtract first.
3a + 9a
Now add.
12a
That is as far as we can simplify.
Convert the following time to 24-hour clock time.
1) 7:25 p.m
2) 9:10 a.m
Convert the following time to 12 hour clock.
1) 0010 hours
2) 1800 hours
Answer:
1925, 091012:10 a.m., 6:00 p.m.Step-by-step explanation:
24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)
1) 7:25 p.m. ⇒ 1925 hours
2) 9:10 a.m. ⇒ 0910 hours
__
12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.
1) 0010 hours ⇒ 12:10 a.m.
2) 1800 hours ⇒ 6:00 p.m.
-21 +3 = -9r in the form of -2(x-p)2+q=
Answer:
1.28 Step-by-step explanation: got
X/5=3 anyone know this??
X/2=8.5 and this ??
Answer:
15
17
Step-by-step explanation:
x/5=3 ⇒ x=5*3=15
x/2=8.5 ⇒ x= 2*8.5=17
The expression √7x is equivalent to the expression x√7
True or false
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
√7x is the square root of 7x
while x√7x is equivalent to x multiplied ythe square root of 7
What is (4h^2b)^2 written in its simplest form?
Answer:
16h⁴b²
Step-by-step explanation:
(4h²b)²= 4²(h²)²b²= 16h⁴b²
i need help, i would appreciate it a lot !!
please help urgent ❤️❤️❤️❤️
Answer:
B,Friday
Step-by-step explanation:
4 to 9 is 5 hours,the total hours for the week is 32.5 hours
A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m but falls 2m at night. How many days those it takes the frog to escape
Answer:
28 days
Step-by-step explanation:
because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.
i hope this helps! :)
factorize x^2/16+xy+4y^2
Answer:
[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.
Notice that the first term and the last term are perfect squares:
[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]
so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:
[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
[tex](\frac{x}{4} +2\,y)^2[/tex]
Which of the following are exterior angles? Check all that apply
Answer:
Options A, E
Step-by-step explanation:
If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;
[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]
Refer to Solution below;
A. Check!
E. Check!