Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
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graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
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Donald plays with his wood cubes and decides to make a pyramid
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Which of the following situations could be modeled by an linear function?
Question 17 options:
The number of people in a stadium is decreasing at a rate of 45% every 10 minutes
The water level of a tank doubles every day
The population of a small town grows at a rate of 2.4% each year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.
Hope this helps!
Answer: D
Step-by-step explanation:
Which graph shows a negative acceleration?
Answer:
Second Graph.
Explanation:
It's the only graph that is concave down and the slope is decreasing.
3a2 + 2a + 2a2 is equal to
Answer:
5a^2 +2a
Step-by-step explanation:
Like terms are ones with the same exponent of x. They can be combined.
3a^2 +2a +2a^2
= (3a^2 +2a^2) +2a
= (3+2)a^2 +2a
= 5a^2 +2a
5a² + 2a
Step-by-step explanation:
[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]
[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]
[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]
Which is the best example of a down payment?
A. Margo leases an apartment and pays $500 cash as a security deposit when she moves in.
B. Robby pays 10 percent cash up front and gets a loan for the
remaining 90 percent of the cost of a condominium.
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
D. Jan signs a cell phone plan that includes a little of the cost of her new phone as part of her bill every month.
The best example of a down payment is given as follows:
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
What is the down payment of a purchase?The down payment of a purchase is when a part of the purchase is paid when the purchase is made, and the other part(subjected to interest or not), is paid later.
In this problem, the example of a down payment is given by option C.
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Answer:
B. Robby pays 10 percent cash up front and gets a loan for the remaining 90 percent of the cost of a condominium
Step-by-step explanation:
i just did it
i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
Answers i can choose from
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses 4th grade work
Answer:
It's C
Step-by-step explanation:
You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho
is this correct????????
Answer:
its half way correct. get rid of the dot on the 2.
Step-by-step explanation:
the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located
Please helppppp I neeed to pass this class
Answer:
(x+8, y+ -2)
Step-by-step explanation:
Actually, it would be (x+8,y-2) but the written part already has a + soo...
However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).
4) Eric bought a canoe for $333.75. He bought a life vest for $134.87 and an ore paddle for $67.89
The sales tax was 5.25%. What was his total cost?
Answer:
His total cost is $564.68
Step-by-step explanation:
333.75 + 134.87 + 67.89 = 536.51
536.51 x 0.0525 = 28.17
536.51 + 28.17 = 564.68
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
What is the length of the line?
Answer:
5.4
Step-by-step explanation:
You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50
Can someone plz help me?
Answer:
A. 5(y+3) = 5(3+y)
Step-by-step explanation:
A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then the cat gave birth to a 4th kitten with the mass of 57 g. How will the birth of the 4th kitten affect the mean and median?
I need help in math homework
Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.
Answer:
it's d
.
hope I helped! I need to write more words so I can send this
Answer:
The answer is A
Step-by-step explanation:
|6x + 3| = 27
Use the definition of absolute value6x + 3 = 27
6x + 3 = -27
Subtract three from both sides of the equation.6x = 24
6x = -30
Divide both sides by 6.x = 4
x = -5
So:
x = 4, -5
(2x+1)(3x+1)=35 using quandratic equation solve
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
The ratio of shoes sold to sandals sold was 9:5. If there were 72 shoes sold, how many
sandals were sold?
Answer:
40
Step-by-step explanation:
9x8 = 72
5x8 = 40
72:40 = 9:5
Hope that helps
in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Answer:
If you use the PEMDAS method, you can see that exponents should be done first.
Step-by-step explanation:
Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.
Dilation involves enlarging or reducing the size of a shape.
The scale factor of dilation is 1/6
From the complete question, the side lengths of corresponding sides of both triangles are:
[tex]AC =18cm[/tex]
[tex]AC' =3cm[/tex]
This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.
So, the scale factor of dilation from the larger triangle to the smaller triangle is:
[tex]k = \frac{AC'}{AC}[/tex]
This gives
[tex]k = \frac{3cm}{18cm}[/tex]
Remove the common units
[tex]k = \frac{3}{18}[/tex]
Reduce fraction
[tex]k = \frac 16[/tex]
Hence, the scale factor of dilation is 1/6
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PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
calculate the state income tax owed on a $50,000 per year salary (answer is not 2500)
The total tax paid is $2,300 on the yearly salary of $50,000
What tax rate applies to the first $10,000 of salary?
The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.
The tax on the first $10,000 is computed as shown below:
tax on the first $10,000=$10000*3%
tax on the first $10,000=$300
The tax on the remaining $40,000 is 5% of the amount
The tax on the remaining $40,000=5%*$40,000
The tax on the remaining $40,000=$2,000
In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000
total tax paid=$300+$2,000
total tax paid=$2,300
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Ms. Vescelius wants to divide her class into cooperative learn-
ing groups. If there are 28 students in the class and she wants
all the groups to have the same number of students, how
many students should she put in each group?
Can you please help me with this question
Answer:
A. y ≥ -3x +4
Step-by-step explanation:
The boundary line crosses the y-axis at +4, so the y-intercept of it is +4. This eliminates choices C and D.
The shading is above the line, where y-values are greater than those on the line. This eliminates choice B.
The correct inequality is ...
A. y ≥ -3x +4
Surya cut a pumpkin into three pieces. He sold two pieces that weighed about 1/2 and 1/3 respectively of the total weight of the pumpkin. If the remaining pumpkin weighed 600g. Which of these will be CLOSEST to the total weight of the pumpkin?
A. 1 KG
B. 3 KG
C. 3.6 KG
D. 4.8 KG
PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡
Answer:
b
Step-by-step explanation:
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Answer: there you go
Step-by-step explanation:
