What are the solutions of x2 10x 16 = 0? write the equation in standard form. factor the polynomial. apply the zero product property. solve the resulting equations. x2 10x 16 = 0 (x 2)(x 8) = 0 x 2 = 0 or x 8 = 0 x = and x =
Answers
The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.
What is the factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The given polynomial equation in standard form is,
[tex]x^2 +10x +16 = 0[/tex]
Now factor the polynomial.
[tex]x^2 +10x +16 = 0\\(x 2)(x 8) = 0[/tex]
Apply the zero product property and find out the factors as,
[tex]x +2 = 0, x +8 = 0[/tex]
Solve the resulting equations by equating both the factors one by one to the zero and find the roots.
[tex]x +2 = 0\\x=-2\\[/tex]
Similarly, for x+8=0,
[tex]x +8 = 0\\x=-8[/tex]
Thus, the values of x or the roots of the equation are,
[tex]x = -2, x =-8[/tex]
Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Answer:
-2 and -8
Step-by-step explanation:
got my answer from the person above.
Related Questions
In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station
Answers
Answer:
8 miles
Step-by-step explanation:
Given
Represent the police station with P, Library with L; Fire station with F
The first statement can be represented as:
[tex]L - P = P - F - 3[/tex]
The second can be represented as:
[tex]L - P = 5[/tex]
Required
Determine the distance between the police station and the fire station (P - F)
[tex]L - P = P - F - 3[/tex] --- (1)
[tex]L - P = 5[/tex] --- (2)
Substitute 5 for L - P in (1)
[tex]5 = P - F - 3[/tex]
Add 3 to both sides
[tex]3 +5 = P - F - 3 + 3[/tex]
[tex]3 +5 = P - F[/tex]
[tex]8= P - F[/tex]
[tex]P - F = 8[/tex]
I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED
HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.
What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s
Answers
Answer: C
Step-by-step explanation:
not A or d
B or C
All I did was divide 95 and 5 and I got 19!
hope this helps!:)
Answer:
B.) 7 seconds
Step-by-step explanation:
We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.
f(x) = 10x - 2x2
find f(4)
A 24
B -22
C. -24
D. -8
Answers
Answer:
maybe try A
Step-by-step explanation:
pwease help thank you
Answers
So, first off, judging from the h(x) graph, h(x)=-2x–1
So this is compositions or something like that; it’s been a year since I’ve done calculus but here we go:
First, you must find f(6) by replacing every x in that function by 6
f(6) = (1/2)(6) – 4
f(6) = (6/2) – 4
f(6) = 3 – 4
f(6) = -1
Now, since you’ve found f(6), now to find h(-1) (since f is -1 and h( f(6) ) is h(-1) )
h(-1) = 2(-1) – 1
h(-1) = -2 – 1
h(-1) = -3
So, the answer is -3
pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8
Answers
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[tex]0 \leqslant y \leqslant 8[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Need help with these bad
Answers
why do math exist in school?
Answers
Answer: I have no idea
Step-by-step explanation:
The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'.
2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.
What is the relationship between RR' and SS'?
Answers
Answer:
The answer is C. RR' || SS'
Step-by-step explanation:
Answer:
The answer is C. RR' || SS'
please hurry and help ill give brainy
The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.
Answers
Answer:
84
Step-by-step explanation:
5/2 for every 2.5 skiers one snowboarder rides
[A] 2.5 skiers to one snowboarder
[B] [tex]\frac{1}{2.5} = \frac{?}{210}[/tex]
210=2.5*x divide both sides by 2.5
x=84
[C] 84 snowboarders rode at the same time as 210 skiers
Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven
Answers
Answer:
The additional cost is $0.12 for each additional mile the van is driven ⇒ D
Step-by-step explanation:
The form of the linear function is
f(x) = m x + b, where
m is the rate
b is the initial value
In our question
The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles
→ Compare it with the form of the linear function above
∴ m = 0.12
∴ b = 25
∵ The cost C depends on the number of miles d
∴ $0.12 is the cost per mile ⇒ additional cost for each additional mile
∴ $25 is the initial cost ⇒ initial cost of the moving the van
The interpretation of the slope for this function is:
The additional cost is $0.12 for each additional mile the van is driven
Answer:
+0.12
Step-by-step explanation:
The additional cost is 0.12 cents for each additional mile the van is being driven.
You’d like to see how many baseball and soccer games you can attend this spring. Travel time for basketball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.
Answers
We have to attend 7 basketball games and 1 soccer game.
Given, we had two types of game namely basketball and soccer.
Travel time for basketball games is 2 hours and soccer games is 1 hour.
Let no. of basketball games be x and no of soccer games be y.
According to the question we would like to attend at least 8 games, so we have the inequality [tex]x+y\geq 8[/tex]
And we would spend no more than 15 hours traveling to the game, so [tex]2x+1y\leq 15[/tex].
[tex]x+y=8\\[/tex]
[tex]2x+1y=15\\[/tex]
On solving we get [tex]x=7[/tex] and [tex]y= 1[/tex].
Hence we have to attend 7 basketball games and 1 soccer game.
For more details on Equation follow the link:
https://brainly.com/question/10824691
What is 1 + 1? I forgot
Answers
Answer:
2
Step-by-step explanation:
What type of slope does (-7,8) and (-7,0) have?
Answers
Answer:
Undefined slope
Step-by-step explanation:
any number divided by 0 is undefined
-8/0
Answer: m=12/7
Step-by-step explanation:
I looked it up for you bro
Can someone help me out please ?
Answers
Answer:
i think its option 1
Step-by-step explanation:
A figure has side lengths 5, 7, and 13. Could the figure be a triangle?
Answers
Answer: no
Step-by-step explanation:
(1 point) .
What is the equation, in standard form, of a parabola that models the values in the table?
х -2 0 4
f(x) 0 -6 78
a.) y= 6x² + 5x - 4
b.) y=-4x2–5x + 6
c.) y=5x2 + 4x = 6
d.) y=4x² + 5x- 6
please helpppp
Answers
Answer:
Correct answer D. y = 4x2 + 5x – 6
Step-by-step explanation:
just took the test
what is an equation of the line in, point slope form, that passes through the given point and has the given slope?
point: (8,-8); slope: 3
Answers
Answer:
I hope this helps
Step-by-step explanation:
The answer is 3.453
Answer:
y + 8 = 3(x - 8)
Step-by-step explanation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]) Use point-slope form.
y - (-8) = 3(x - 8) Substitute [tex]y_{1}[/tex]for -8, m for 3, and [tex]x_{1}[/tex] for 8.
y + 8 = 3(x - 8) is the equation.
(I'd appreciate a brainliest! thanks)
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answers
Solve for the value of s.
HELP PLS NOW 20 POINTS
Answers
Answer:
15
Step-by-step explanation:
82 + (7s - 7) = 180
- subtract 82 from both sides
7s - 7 = 98
- add 7 to both sides
7s = 105
- divide both sides by 7
s = 15
3) 8x = 72
It’ll help
Answers
Answer:
9
Step-by-step explanation:
×=72/8
×=9
Hope it helps
Answer: 9
Step-by-step explanation: First, look for the value of x. A number with a variable in front of it means that you’ll be multiplying, but you can use division which makes it easier to find x. SO, DIVIDE 72 by 8 (82 ÷ 7), which equals to 9. (8 x 9 = 72)
HELP ME PLZZ I NEED HELP WITH THIS!!!
Answers
Answer:
D because you're adding to negatives and you get a postive
The answer is 55. You need to use the rules above to find the actual measure for angle b
Answers
Step-by-step explanation:
A circle is 360 degrees
209 is part of the circle so find the difference between 360 and 209
360 - 209 = 151
If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b
151 - 96 = 55
I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to
can someone help me please, please hurry. I may mark brainiest
Answers
3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
are any of these equation equivalent to one another if so, which ones? Explain tou reason
Answers
Given parameters:
Find if any of the equations are the equivalent;
3a+ 6 = 15
3a = 9
a+ 2= 5
[tex]\frac{1}{3a}[/tex] =1
To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.
(i) 3a+ 6 = 15
3a = 15 - 6
3a = 9
a = 3
(II) 3a = 9
a = 3
(III) a+ 2= 5
a = 5-2
a = 3
(IV) [tex]\frac{1}{3a}[/tex] =1
1 = 3a
a = [tex]\frac{1}{3}[/tex]
We clearly see that the first three equations are equivalent.
round the nearest tenth 11.34? A:11.3 B:12.34 C:12 SOMEONE PLZ HELP
Answers
Answer:
B is the asnwer
Step-by-step explanation:
Answer:
Your answer is A. 11.3
Step-by-step explanation:
To round to the nearest tenth of 11.34, you will be using the 4 to determine if the 3 (in the tenth place) will be rounded up or stay the same. Since 4 is under 5, the 3 will remain the same.
-2(x - 5) = -14 PLEASEEEEE HELPPPPPP
Answers
The sides of a rectangle have a length of x + 4 units and a width of 2x + 5 units. Which of the following represents the perimeter of the rectangle? Someone please help. I need it
Answers
Answer:
B. 6x+18
Hope this helps!
Step-by-step explanation:
The atomic number of an element is equal to the number protons in the atoms of that element
True or false
Answers
Answer:
True
Step-by-step explanation:
Answer:
It is true
Step-by-step explanation:
Hope I Helped....✌
1. Approximately fourteen 20-ounce plastic drink bottles must be recycled to produce 1 square foot of carpet. Write an expression for the number of bottles needed to make c square feet of carpet.
Answers
combine like terms 10a-10a+1
Answers
Answer:
1
Step-by-step explanation:
10a and -10a would combine and cancel eachother out leaving you with 1