The ODE
y''' - 7y'' + 8y' + 16y = 0
has characteristic equation
r ³ - 7r ² + 8r + 16 = 0
which can be factorized as
(r - 4)² (r + 1) = 0
Then the characteristic solution to the ODE is
y(x) = C₁ e ⁴ˣ + C₂ x e ⁴ˣ + C₃ e ⁻ˣ
Identify the axis of symmetry of the parabola.
A. X=5
B. X=4
C. X=6
D. X=3
9514 1404 393
Answer:
B. x = 4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. This parabola has its vertex at (4, -1), so the axis of symmetry is x = 4.
The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
1) y = (x + 1)^2
2) y = (x - 1)^2
3) y = x^2 + 1
4) y = x^2 - 1
Answer: 2
Step-by-step explanation:
If the number was OUTSIDE the exponents it represents a movement up or down
If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right
However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2
- Gage Millar, Algebra 2 Tutor
in math, the word dilate means to
Answer: it means to make larger or smaller.
Step-by-step explanation:
it means to make larger or smaller.
Answer:
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change. ... Knowing the scale factor allows you to predict what the image will look like after the dilation.
Step-by-step explanation:
Given b(x)= (-3,7), state what the coordinates of this point will be of the following transformations are effected: 2b(x)
find the measure of the angle indicated, WILL GIVE
BRAINLIEST!!
Answer:
m < S = 40°
Step-by-step explanation:
According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The exterior angle is m < R = 140°. In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.
Given m < T = (8x + 4)°
m < S = (3x + 4)°
We can set up the following equality statement to solve for the value of x:
m < R = m < T + m < S
140° = (8x + 4)° + (3x + 4)°
Combine like terms:
140° = 11x + 8
Subtract 8 from both sides:
140° - 8 = 11x + 8 - 8
132° = 11x
Divide both sides by 11:
132°/11 = 11x/11
12 = x
Substitute the value of x into the equality statement to verify whether it is the correct value:
140° = (8x + 4)° + (3x + 4)°
140° = [8(12) + 4]° + [3(12) + 4]°
140° = (96 + 4)° + (36 + 4)°
140° = 100° + 40°
140° = 140° (True statement. Therefore, the correct value for x = 12).
Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°
Please mark my answers as the Brainliest if you find this helpful :)
PLS HELP ME UNDERSTAND THIS
Answer:
-1
Step-by-step explanation:
can be soled by substitution remember BEDMAS
can also be written like this
((-2)-2*(-0.5))^3
Does (4, 0) make the equation y = 6x true?
Answer: No
Step-by-step explanation: it would be (0,4)
8252 to base six
i'm struggling so bad
Answer:
6^5
because i used a calculator enjoy
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...?
Answer:
common difference is 3 you take each number from left to rifht and subtract so thr answer is 15
15 ) Kayla has 14.5% of her salary placed into an Individual
Retirement Account. What fraction is this? *
1/2
22/100
2/3
29/200
Answer:
29/200
Step-by-step explanation:
Turn all fractions into percentages by dividing the numerator by the denominator then multiply the quotient by 100 to get it in percent.
1/2 = 50%
22/100 = 22%
2/3 = 66.7%
29/200 = 14.5%
Now that we turned all fractions into percents, we can see that 29/200 is that answer since its percentage is 14.5%.
PLZ HELP
A total of 800 advertisements were sold for a certain magazine. If 80 percent of the first 150 sold in color, 40 percent of the next 400 sold in color, and 80 percent of the next 80 were sold in color, what percent of the 800 magazines were sold in color?
Answer:60 %
Step-by-step explanation:
Hi, Which statement is True?
Answer:
The second one is true
Step-by-step explanation:
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 7 : 40 p.m. At this time, he started pumping gas into the tank. At exactly 7 : 45 , the tank was full and he noticed that he has pumped 12.3 gallons. What is the average rate of flow of the gasoline into the gas tank
Answer: 2.46 gallons per minute.
Step-by-step explanation:
12.3 divided by 5 is 2.46.
Super simple, just don't know if I am right or not.
Pls help do all and I’ll brainlist you
Answer:
1. 28.7
2. 14.11
3. 35.3
4. 32.8
Step-by-step explanation:
you just multiply then round the nearest tenths.
PLEASE SOME ANSWER QUICKLY!!!!
Answer:
D
Step-by-step explanation:
The range is the y-values of a function. In this case, it would be 2, 4, 9, 16
find all the zeros of the quadratic function y=x²-9x+20
Answer:
Roots: x = 5; x = 4
Step-by-step explanation:
Given the quadratic equation, x² -9x + 20 = 0
where a = 1, b = -9, and c = 20
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (-9)² - 4(1)(20) = 1
Since b² - 4ac > 0, then it means that the equation will have two real roots.
Use the Quadratic Formula:
[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]x = \frac{-(-9) +/- \sqrt{(-9)^{2} - 4(1)(20)} }{2(1)}[/tex]
[tex]x = \frac{9 +/- \sqrt{1}}{2}[/tex]
[tex]x = \frac{9 + 1}{2}; x = \frac{9 - 1}{2}[/tex]
[tex]x = \frac{10}{2}; x = \frac{8}{2}[/tex]
x = 5; x = 4
Therefore, the roots of the quadratic equation are: x = 5; x = 4.
if 25 articles cost $43.75 how much does each cost?
Answer:
$1.75
Step-by-step explanation:
I had this question and got it right!
How do I evaluate this
Answer:
18
Step-by-step explanation:
Plug in 3 for x
2(3)^2
2(3*3)
2*9
18
Answer:
The answer is 18
Step-by-step explanation:
2x², x = 3
Evaluate 3
2(3)²
2 × 9 = 18
Thus, The answer is 18
-TheUnknownScientist 72
2. (Opts) A ladder leans against the wall of a building. The length of the ladder is 9 feet
longer than the distance of the bottom of the ladder from the building. The distance
of the top of the ladder reaches up the side of the building is 7 feet longer than the
distance of the bottom of the ladder from the building. Find the lengths of all three
sides of the triangle formed by the ladder leaning against the building.
thank you far donating ur points...✌
btw
#sry fa the spam
Write168 to the nearest hundred
Answer:
200
Step-by-step explanation:
6 is closer to 10 than 0
40 24 56
16 ? 72
8 48 32
Answer:
32
Step-by-step explanation:
8x4=32oooooooooooooooooooooooo
what is the LCD of 4/7 1/6
Answer:
The denominators can be made equal by finding the least common denominator (LCD), which is 42 in this case.
Step-by-step explanation:
Hope i helped!
Plz help I need help
Answer:
1.025
Step-by-step explanation:
divided 6.15 by 6 to get 1.025
Hi, wanted to know if this looks correct to you guys, please leme know?
Answer:
yep all looks good to me
Step-by-step explanation:
A bank is offering home loans at an interest rate of 52%. Express the percent
as a fraction in simplest form.
Answer: 13/25
Step-by-step explanation:
52/100 divided by 4/4
= 13/25
a patio is rectangular. Its length is 8.27 meters and it's width is 4.2 meters. what is the approximate perimeter of the patio?
Answer: P≈24.94m
Step-by-step explanation:
P=2(l+w)=2·(8.27+4.2)≈24.94m
I am stuck on how to do this, can someone please help?
1. Compute the total, and then fill in the rest of the ratio table given the different quantities that
have been set to 100. Make sure to always use the numbers in the first row to avoid round off error. Note the header row with titles is not counted as the “first” row. The first one is done for you.
Answer:
whats the problem about addition or subtraction or what then ill help u and post in comments
Step-by-step explanation:
pls help i need this to pass algebra
Find the percent decrease. Round to the nearest percent.
From 85°F to 60°F
Answer:
Percent Decrease ≈ 30%
Step-by-step explanation:
Let's first find what part of 85 is 60
60/85 = 12/17
12/17 = 0.70588 ≈ 0.70 = 70%
Now, since 85 is 100%, and 60 is 70% of 85, the percent decrease is :
100% - 70% = 30%
-Chetan K