Answer:
forst mark me as a brainleast
[tex]5^{-3}[/tex] rewrite as an equivalent expression
Answer:
the equivalent equation of
[tex]5^{-3}[/tex]=[tex]\frac{1}{5^{3}}=\frac{1}{125}[/tex]
find the largest value :
A=5-x^2+2x
Answer:
6
Step-by-step explanation:
A=5-x^2+2x
Rewriting
A = -x^2 +2x+5
This is a downward opening parabola so the maximum value is at the vertex
Factor out the negative sign out of the first two terms
A = -(x^2 -2x) +5
Complete the square
-2/2 = -1 -1^2 = 1
Add 1 inside the parentheses Remember the negative sign out front so -1(1) is really adding -1 so we need to add 1 outside of the parentheses
A = -(x^2-2x+1) +1 +5
A = -(x-1)^2 +6
This is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
The maximum occurs at x=h and the value is k
The maximum is 6
find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial
Compute the quotient and remainder,
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]
The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means
[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]
and
[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]
Only k = -3 makes both remainder terms vanish.
Then the previous result reduces to
[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]
so that
[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]
and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.
I NEEDDD HELPP ITS URGENTTT. !!
Answer:
use the information provided to write the standard form equation of the circle
1. ends of a diameter: (11,-6) and (1,14)
use the information provided to write the genral conic form equation of each circle.
1. three points of the circle:
( 7,-4)(-3,-4) and ( 6,-7)
identify the centere and radius. then sketch the graph
1. x^2+y^2-4x-14=0
Simplify
1/2 - 3 (1/2 + 1)*
Enter your answer in the box as a fraction in simplest form.
&
Answer:
Final answer is ---> -4
Step-by-step explanation:
who can help me PLEASE
Instruction find the measure of the missing angles in the kite
Both the angles will be 105°
Just add up the given angles, subtract the result by 360, and divide by 2.
PLEASE HELP!! I'LL GIVE OUT BRAINLIEST.
Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
? yards = 3/4 of a mile.
Answer:
1320 yds
Step-by-step explanation:
1 mile = 1760 yds
3/4 mile * 1760 yds/ 1 mile
1320 yds
Answer:
1 mile = 1720 yard
______ ________
0.75 x
cross multiply and solve for x
1320 yards is the answer
good luck in the future..
x^2 +12x +36=0
-------
Answer:
x = -6
Step-by-step explanation:
x^2 +12x +36=0
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 = 12
(x+6) (x+6) = 0
Using the zero product property
x+6 = 0 x+6 =0
x=-6 x=-6
Since they are the same we only list the solution once
Answer:
[tex]-6[/tex]
Step-by-step explanation;
[tex]x^{2} +12x+36=0[/tex]
Comparing with ax² +bx² + c=0
where a =1 , b=12, and c= 36
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
substituting the values of a, b, and c to find the value of x
[tex]x=\frac{-12\pm \sqrt{12^2-4\cdot \:1\cdot \:36}}{2\cdot \:1}[/tex]
[tex]x=\frac{-12+,-\sqrt{144-144} }{2}[/tex]
[tex]x=\frac{-12+,-0}{2} =-6[/tex]
OAmalOHopeO
What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?
Answer:
(x-3)(5x+4)
x=3 x=-4/5
Answer:
(5x + 4)(x - 3)
Step-by-step explanation:
Hello!
Factor:
5x² - 11x - 12Think: What two numbers add up to -11 but multiply to (5)(-12)?
Answer: -15 and 4
Continue:
5x² - 11x - 125x² - 15x + 4x - 12 Expand with the values we found5x(x - 3) + 4(x - 3) Factor by grouping(5x + 4)(x - 3)The factored expression is (5x + 4)(x - 3)
5. If A, B and C are any three points on a line and B lies between A and C, then prove that AB + BC = AC.
Answer:
B IS THE MID POINT
Step-by-step explanation:
If b lies between AC iy means b is de half
therefore a+b+c=ABC which is the straight line
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used
Answer:
[tex]n=35[/tex]
Step-by-step explanation:
From the question we are told that:
Standard Deviation [tex]\sigma=4min[/tex]
Let
[tex]CI=95\%[/tex]
Since
Significance level [tex]\alpha[/tex]
[tex]\alpha =1-CI[/tex]
[tex]\alpha =1-0.95[/tex]
Therefore
[tex]Z_{\alpha/2}=Z_{0.025[/tex]
[tex]Z_{\alpha/2}}=1.96[/tex]
Generally the equation for Sample size is mathematically given by
[tex]n = (Z_{\alpha/2}* \frac{\sigma}{E})^2[/tex]
[tex]n= \frac{1.96 * 3}{1}^2[/tex]
[tex]n=35[/tex]
Which of the following is the function for the graph? Choices/graph below.
set x=0 to get insights.
at x=0 to the functions are
-2(0-2)²+3 = -5
-2(0+2)²-3 = -11
-2(0-2)²+3 = -5
-2(0-2)²-3 = -11
weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.
maybe a + was intended inside the parentheses, dunno.
option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same
Lucy drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles
Answer:
18.9
Step-by-step explanation:
if 200miles = 9gallons
then 420miles = ?
note:if more less divide and if less more divide.
so it is 420/200×9=18.9
Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)
Determine the measure of the interior angle at vertex F
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
what is the answer?
Answer:
6 yards 4 feet 1 inch
Step-by-step explanation:
First, we have the equation:
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
Now, let's add each:
6 yards
3 feet
13 inches
But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:
6 yards
4 feet
1 inch
There you have it!
Happy learning!
--Applepi101
Answer:
7 yds 1 ft 1 inch
Step-by-step explanation:
4 yards 2 feet 7 inches
+ 2 yards 1 foot 6 inches
------------------------------------------
6 yards 3 feet 13 inches
13 inches is more than 12 inches ( =1 ft) so subtract 12 inches and add 1 ft
6 yards 3 feet 13 inches
=1 ft - 12 inches
-----------------------------------------
6 yds 4 ft 1 inches
4 ft is more than 3f which is 1 yd ( subtract 3 ft and add 1 yd)
6 yds 4 ft 1 inches
+1 yd - 3ft
------------------------
7 yds 1 ft 1 inch
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer: y= 3+x
Step-by-step explanation:
Answer: y = x - 3
First, find two points on the graph:
(x₁, y₁) = (3, 0)(x₂, y₂) = (0, -3)Substitute in the points to the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-3}=\frac{-3}{-3}=1[/tex]
Substitute in a point to the function [tex]y=1x+b[/tex] to find the y-intercept(b):
[tex]-3=1(0)+b\\b=-3[/tex]
Therefore, the function is:
[tex]y=x-3[/tex]
2x2
The value of the expression + x(100 - 15x) when x = 5 is
X
Answer:
129
Step-by-step explanation:
2*2+x(100-15x)
2*2+5(100-15*5)
2*2+5(100-75)
2*2+5*25
4+125
129ans
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Use the Tangent
Tan(theta) = opposite over adjacent.
opposite (defined as the line that does not make up the angle) = 17
Theta = 31
adjacent (one of the lines making up the angle) = x
Tan(31) = 0.6009
Tan(31) = 17/x Multiply both sides by x
x*tan(31) = 17 Divide by tan 31
x = 17/tan31
x = 17 / 0.6009
x = 28.29
Rounded to the nearest 1/10 is 28.3
Find the value of x and y in the following figure
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
yx(y+1) + 4x(y + 1) - 5(y + 1) factor
( yx + 4x - 5 )( y + 1 )
.....................................
Resolve into factor :(a+b) ^3+1
use the formula a^3+b^3=(a+b)^3-3ab(a+b)
in above question assume (a+b) as a and 1 as b
take help of file above
x^2-4x^2y^2+y^2+2*x*y
Answer:
(x + y - 2xy)*(x + y + 2xy)
Step-by-step explanation:
x^2-4x^2y^2+y^2+2*x*y
=x^2 + 2xy + y^2 - (2xy)^2
=(x + y)^2 - (2xy)^2
=(x + y - 2xy)*(x + y + 2xy)
The amount of grain that a shape will hold is called the surface area.
True
False
Answer:
false =D
Step-by-step explanation:
which equation shows 2.4 as the constant of proportionality?
Answer:
c a = 2.4b
Step-by-step explanation:
y = kx is the form of the equation where k is the constant of proportionality
y and x can be any letters
Replacing y and x with a and b and k with 2.4
a = 2.4b
Divide. Write your answer as a decimal.
8.722÷(−3.56)=
Answer:
-2.45
Step-by-step explanation:
I used a calculator to find this so I hope it helps :)
50 points! please help!.
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]
equating corresponding value
opposite=-24
hypoyenuse=25
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
25²=(-24)²+x²
625=576+x²
x²=625-576
x=49
x=[tex]\sqrt{49}=7[/tex]
In IV quadrant
Cos angle is positive
Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{7}{25}[/tex]Answer:
cos theta = 7/25
Step-by-step explanation:
sin theta = opp / hyp
We can find the adj side by using the pythagorean theorem
adj ^2 + opp ^2 = hyp^2
adj^2 + (-24)^2 = 25^2
adj^2 +576 = 625
adj^2 =625 -576
adj^2 = 49
Taking the square root of each side
adj = 7
Since we are in the 4th quadrant, adj is positive
cos theta = adj / hyp
cos theta = 7/25
A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales
Answer:
I am not sure on the answer but i think its $9,000
Step-by-step explanation:
11,000x0.20=2,200
2,200+11,000=13,200
22,200-13,200=9,000
which would mean she got $9,000 from commissions.
if you did 100,000x0.03=3,000
9,000/3,000= 3
so she would have had 3 commissions worth over 100,000
A shopkeeper selling an article at a discount of 25% looses Rs.125.If he allows 10% discount he gains Rs 250.Find the marked price and the costprice of the article. ..............(Plz send the ans clearly if you send the ans clearly I will mark you as a brainliest)
Answer:
i dont know
but try you will get the answer
