Answers
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
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Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.Related Questions
Find the equation of the line through the points (-8,3) and (-4,5).
Answers
Answer:
[tex]2y - x = 14[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,3)[/tex]
[tex](x_2,y_2) = (-4,5)[/tex]
Required
The line equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5 - 3}{-4 - (-8)}[/tex]
[tex]m = \frac{2}{4}[/tex]
[tex]m = \frac{1}{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{1}{2}(x - (-8)) +3[/tex]
[tex]y = \frac{1}{2}(x +8) +3[/tex]
Open bracket
[tex]y = \frac{1}{2}x +4 +3[/tex]
[tex]y = \frac{1}{2}x +7[/tex]
Multiply through by 2
[tex]2y = x + 14[/tex]
[tex]2y - x = 14[/tex]
The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers
A I -5 -9 I
B I 9 -5 I
C I 9- (-5) I
D I -5 (-9) I
E I -9 - (-5) I
Answers
Answer:
[tex]d = |- 5- 9|[/tex]
Step-by-step explanation:
Given
[tex]Initial = 9^\circ F[/tex]
[tex]Final = -5^\circ F[/tex]
Required
Determine the difference
Represent this with d.
d is calculated using
[tex]d = |Final - Initial|[/tex]
The equation becomes
[tex]d = |- 5- 9|[/tex]
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
9514 1404 393
Answer:
9.2 ft³
Step-by-step explanation:
The side length of the square base is 1/4 of the perimeter, so is ...
s = P/4 = (7.4 ft)/4 = 1.85 ft
The area of the base is the square of this, or ...
A = s² = (1.85 ft)² = 3.4225 ft²
The volume of the pyramid is given by ...
V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²
The volume of the pyramid is about 9.2 cubic feet.
Pls Help! This is due today! Find the value of x:
Answers
Answer:
x = 23
Step-by-step explanation:
the sum of all interior angles of triangle is 180 dehrees.
top angle = 180-100 = 80 degrees
80 + 51 + (2x+3) = 180
2x+3 = 49
2x = 46
x = 23
Answer this correctly I'll give brainalist + 10 points
Answers
Answer:
55
Step-by-step explanation:
The line is 180 and 180-125=55
Please help with this
Answers
Answer:
check pdf
Step-by-step explanation:
WILL MARK BRAINLYIST
Answers
Answer:
the answer would be true
Answer:
FALSE
Step-by-step explanation:
The answer is false because the length between DC is 6 and the length between EB is 8. If the lines were parallel, both lines would have the same length.
what is 3/8 + 1/4 please help me
Answers
Answer:
Step-by-step explanation:
3/8+1/4
LCM
3/8+2/8
5/8
PLEASE HELP IMMEDIATELY!!! WILL MARK AS BRAINLIEST
Answers
Answer:
2
Step-by-step explanation:
For every hour that Jill worked, she made $10
Write an equation to model how much money she can make.?\
HELP
Answers
Answer how many hours did she work?
Step-by-step explanation:
J\5 = 6 . What does " J "equals ????
Answers
Answer:
J=30
Step-by-step explanation:
Answer:
Step-by-step explanation:
imaginary unit
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups
Answers
Answer:
8/3
Step-by-step explanation:
Answer:
3 1/3
Step-by-step explanation:
sorry
Help me and I’ll give you brainliest
Answers
Answer:
The answer is 21
Consider a graph of the equation y = x + 6. What is the y-intercept? (5 points) 6 −1 1 −6
Answers
D I am not 100% sure, If I am wrong sorry
The area of a poster board is (x2 + 9x - 10) square inches. Find the dimensions of the poster board If
x = 15.
Answers
Answer:
155 square inches
Step-by-step explanation:
(15)2+9(15)-10 or 30+135-10
Need help ASAP !!!
Solve for u
Answers
Answer:
3.46 or ..
[tex] 2\sqrt{3} [/tex]
Step-by-step explanation:
because you use sin(60) = 3/u
40 - 10 + 20
Don’t answer until when it’s one min later....there is a timer on my math probs so ya
Answers
Answer:
The answer is 50
Step-by-step explanation:
40-10=30
30+20=50
What percent is equivalent to 1/10?
Answers
Answer: 10%
Step-by-step explanation:
1/10 is equal to .10 or 10%
Answer:
10%
Step-by-step explanation:
Divide 1 by 10 and you get 0.10 :)
What is the domain?
(-∞,∞)
[0,∞)
(-∞,0]
-2, 2
Answers
Answer:
(-∞,∞)
Step-by-step explanation:
The domain is the possible x values, so for this function x^2 , the possible x values are all the values
(-infinity , infinity)
simpfly (7x+5)-(2x2-8x+6) choose the standard form of the answer
Answers
Step-by-step explanation:
7x+5-2x^2+8x+6
-2x^2+15x+11
2t + 4(4 + 10t)
Simplify the expression
Answers
Answer:
=42t+16
Step-by-step explanation:
=2t+(4)(4)+(4)(10t)
=2t+16+40t
=2t+16+40t
=(2t+40t)+(16)
=42t+16
Simplify the expression
2t + 4(4 + 10t)
Simplifying
y = 2t4 + -10t2 + 13
Reorder the terms:
y = 13 + -10t2 + 2t4
Solving
Solving for variy = 13 + -10t2 + 2t4
able 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 13 + -10t2 + 2t4
Hence the information I've given you, we can now state that the answer is
42 t + 16
Find the Median for the following set of numbers.
6, 9, 8, 11, 17, 17, 16
Answers
A circular flower bed in a botanical garden has a radius of 7 feet.
What is the area of the flower bed?
Use 3.14 for π.
Question 8 options:
153.86 feet
43.96 feet
21.98 feet
Answers
John sells apples for $5 per bunch and watermelons for $3 a piece. He made $100 today and sold 10 watermelons. How many bunches of apples did he sell?
Answers
Answer:
14
Step-by-step explanation:
3*10=30
5*14=70
30+70=100!!!
Answer:
he sold 14 apples
Step-by-step explanation:
multiply 10 (watermelon) and 3 (the cost) which is 30
now subtract 30 from 100 which is 70
last do 5 (the cost of apple bunch) by 70 to find the total number of bunches he sold which is 14
The store ordered small posters and large posters to promote their opening. 12 times as many small posters were ordered as large posters. If there were 48 large posters, how many more small posters were ordered than large posters.
\
Answers
Answer:
I think it is 576 small posters.
Step-by-step explanation:
48×12= 576
9) A car dealer offers a discount of 20% off the normal price of a car, for cash. Peter intends to buy a car which usually cost £6800. He intends to pay by cash. Work out how much he will pay.
10) A month ago, John weighed 97.5 kg. He now weighs 4.5% more. Work out how much John now weighs. Give your answer to 1 decimal place.
Answers
Answer:
1360
Step-by-step explanation:
Which of the following measures could NOT be the three sides of a triangle?
Question 13 options:
2 in, 5 in, 6 in
17 in, 8 in, 10 in
22 in, 20 in, 5 in
15 in, 4 in, 20 in
Answers
Answer:
15 in, 4 in, 20 in
Step-by-step explanation:
The sum of the smaller two sides of a triangle must be greater than the third side.
In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answers
Answer: 69.5 degree
Can y’all help me on question nine?!
Answers
Answer:
24
Step-by-step explanation:
x=2
x³+7x+2
2³+14+2
8+14+2
24
Fewer than 50 people bought tickets
Answers
it doesn't make sense kay