Answer:
The zeros of the function are x = 4/3 or x = -2
Step-by-step explanation:
To find the zeros of the function, we set f(x) to zero
Thus;
(3x-4)(x + 2) = 0
3x - 4 = 0
or x + 2 = 0
3x = 4 or x = -2
x = 4/3 or x = -2
what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
an auto dealer has 8 different cars and 4 different trucks. how many ways are there to select two vehicles?
There are 66 ways to choose two vehicles from the dealer's inventory.
A combination is a grouping of items from a larger set in which the order of the items is irrelevant. In other words, it is a method of selecting a subset of items from a larger set without regard for their order of selection.
The formula C(n, k) = n! / (k! (n - k)!) can be used to calculate the number of combinations.
where n represents the total number of items in the set and k represents the number of items in the combination.
The exclamation mark (!) represents the factorial function, which is the sum of all positive integers up to a certain number.
The number of ways to select two vehicles from 8 cars and 4 trucks is 8 + 4 = 12 vehicles.
To find the number of combinations, we use the formula for combinations, which is:
C(n, k) = n! / (k! (n - k)!)
where n is the total number of vehicles and k is the number of vehicles we want to choose.
So, for n = 12 and k = 2,
we have:
So, putting the value in above formula:
We will get it as:
C(12, 2) = 12! / (2! (12 - 2)!) = (12 * 11) / (2 * 1) = 66
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$375 at 6% for 2 years
Round off 64.723 to the nearest hundredth
Answer:
700
Step-by-step explanation:
hope this help hahhshshshshhshshsjdbndnddnxjjd
(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
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in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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Can anyone help me ? I don’t know if I’m doing this right
1. The completion of the table, showing the total contributions for each option, the final balance (future value), and the total interest earned, is as follows:
Options # Contributions Final Balance Total Interest Earned
1 $21,000 $41,230.22 $20,230.22
2 $63,000 $142,021.06 $79,021.06
3 $4,000 $27,300.26 $23,300.26
2. The contributions are the results of the multiplication of the periodic contributions and the number of periods (number of years x 12).
3. The option with the least contributions was Option #3, where only a $4,000 contribution was made at the beginning.
What is the future value?The future value is the present value of investments compounded at an interest rate into the future.
The future value can be computed using an online finance calculator as follows:
Options # Contributions
1 $21,000 ($50 x 35 x 12)
2 $63,000 ($150 x 35 x 12) $142,021.06
3 $4,000 ($4,000 x 1)
Option #1:N (# of periods) = 420 months (35 years x 12)
I/Y (Interest per year) = 3.5%
PV (Present Value) = $0
PMT (Periodic Payment) = $50
Results:
Future Value (FV) = $41,230.22
Sum of all periodic payments = $21,000.00
Total Interest = $20,230.22
Option #2:N (# of periods) = 420 months (35 years x 12)
I/Y (Interest per year) = 4.15%
PV (Present Value) = $150
PMT (Periodic Payment) = 0
Results:
Future Value (FV) = $142,021.06
Sum of all periodic payments = $63,000.00
Total Interest = $79,021.06
Option #3:N (# of periods) = 420 months (35 years x 12)
I/Y (Interest per year) = 5.5%
PV (Present Value) = $4,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $27,300.26
Total Interest = $23,300.26
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What coordinates of 3 points lie on y = 2x+3
Two cars start from the same place at the same time. One car travels west at 70 miles per hour and another travels cast at 20 miles per hour. In how many hours will they be 250 miles apart?
A. 50/9 hours
B. 225 hours
C. 25/9 hours
D. 5 hours
Answer
25/9
Step-by-step explanation:
70 + 20 =90
25/9 x 90 = 250
Use the information provided to write the vertex
form equation of the parabola.
y = 4x² – 48x + 152
Answer:
minimum (6, 8)
Step-by-step explanation:
After executing the following statement, the value of x is ________. double x = 5 4 * 3 / 2 ;
The value of x is 81 . double x = 5 4 * 3 / 2 .
What is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."x = 54 * 3/2
x = 27 * 3
x = 81
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Which of the following equations has a solution of x = 5
10x/2=1
2 (x – 3) + 8 = 6x – 18
2x – 5 + 3x = 8 + 14
O 4(1 - 2) + 3 = -2 (2 + 2) + 1
Answer:
equals 345762819
Step-by-step explanation:
i dont know for short i just want a points
what is the probability of obtaining a z value less than 1.5?
Answer:
About .9332
Step-by-step
This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.
Determine the growth defined by the equation y = 3(3.4)^x.
Answer: The answer is an exponential growth. The equation is y=3(3.4)x and since 3.4 > 1, this is an exponential growth. Exponential growth occurs when the growth rate of the value is proportional to the function's current value, resulting in its growth with time being an exponential function. Thank you for posting your question. I hope that this answer helped you.
Step-by-step explanation:
Answer:is an exponential growth. The equation is y=3(3.4)x and since 3.4 > 1, this is an exponential growth. Exponential growth occurs when the ...
Step-by-step explanation:
read the picture plsssssssssss
I need help with my homework it’s a math question
3 divided by 1/8
I need answer Immediately!!!!!!
Step-by-step explanation:
number of hours = more than 12
above 80= 16
total sat = 33
percentage above 80 = 16 / 33 * 100
= 48.48%
to the nearest whole number = 48%
Neglect a is constructive response to job satisfaction. True False
Neglect a is constructive response to job satisfaction is the false statement.
Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.
Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.
When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.
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HELP PLS Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer: \(m=\frac{y2-y1}{x2-x1}\)
Step-by-step explanation:
Choose two points and insert them for x and y.
(3,0) and (0,-4) will work
If you need extra help ask me, I'd be glad to help but i encourage you to try to solve it yourself
Given: RT=TA
Prove: Arc RL = Arc TA
The measure of an arc is determined by its corresponding Central angle, we can conclude that arc RL is congruent to arc TA. the given statement "Arc RL = Arc TA" is proven based on the information provided.
To prove that arc RL is equal to arc TA in the given scenario where RT = TA, we need to examine the properties of arcs in a circle.
In a circle, the measure of an arc is determined by the central angle that subtends that arc. Thus, to show that arc RL is equal to arc TA, we need to demonstrate that the central angles corresponding to these arcs are congruent.
Let's analyze the given information:
1. RT = TA: This means that RT and TA are congruent line segments. Since the radii of a circle are always congruent, we can conclude that RT and TA are radii of the same circle.
Now, let's construct the circle with center O, such that RO, RL, and TA are radii of the circle. Since RT = TA, we can infer that RO and AO are congruent radii of the circle.
Considering triangle RAO, we have:
- RO = AO (congruent radii)
- RT = TA (given)
- Angle R = Angle A (vertical angles)
Therefore, by the Side-Angle-Side (SAS) congruence criterion, triangle RAO is congruent to triangle TAO.
Now, let's focus on the central angles:
- Angle RAO is the central angle corresponding to arc RL.
- Angle TAO is the central angle corresponding to arc TA.
Since triangles RAO and TAO are congruent, their corresponding angles are congruent as well. Therefore, we can conclude that angle RAO is congruent to angle TAO.
Since the measure of an arc is determined by its corresponding central angle, we can conclude that arc RL is congruent to arc TA.
Hence, the given statement "Arc RL = Arc TA" is proven based on the information provided.
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Note the full question may be :
To prove that Arc RL is equal to Arc TA, given RT = TA, we can use the fact that congruent chords of a circle intercept congruent arcs.
What is the area of a circle with a radius of 3.5cm
Answer:
A≈38.48cm²
Step-by-step explanation:
Answer:
38.48 cm²
Step-by-step explanation:
Area of a circle goes by the formula πr²
Substitute in the value of r;
area = π(3.5)²
= 38.48451 cm²
~ 38.48 cm² (2 d.p.)
What is the area of this circle?
Answer:
\(\pi\cdot4^{2} = 50.26548246\\\\\)
But if we were using 3.14 the answer would be
50.24
But the real answer is 50.26548246
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
answer this qusten and ill mark u brainlyest 6+6 hhehehe
Answer:
6+6= 30 billion
Step-by-step explanation:
Answer:
6 + 6 = 66 or 12
Step-by-step explanation:
I'm not sure
What is a diagonal and if you can please solve this question for me
ahhhh OK
diagonal is this / and this\
so take 9 and square it
81÷2=40.5
find the square root of 40.5
and you get.....
6.3639610307
as an estimate write anything between 6 and 6.5
do not write The answer tho
6.A = 23 × 3 × 5 B = 22 × 3 × 52
Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)
Given:
The two numbers are
\(A=23\times 3\times 5\)
\(B=22\times 3\times 52\)
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
\(A=23\times 3\times 5\) ...(i)
\(B=22\times 3\times 52\)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
\(B=2\times 11\times 3\times 13\times 2\times 2\) ...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
\(HCF(A,B) = 3\)
Therefore, the highest common factor (HCF) of A and B is 3.
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy
Answer:
The home team
Step-by-step explanation:
1 touchdown is equal to 6 points (plus a extra point for the kick)
1 field goal is worth 3 points
If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.
The home team scored more points at 21 points versus the visiting team which had only scored 12 points.
all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER
A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.
Then, we can find for which values of t we have h(t).
We equal h(t) to 0 and calculate t as:
\(\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}\)The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.
B) The maximum height can be find in two ways:
- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.
- Deriving the function and equaling to 0 and finding t.
If we apply the first method, we have:
\(\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}\)As the vertex is at time t=2 seconds, the maximum height happens at t=2.
Answer: A) t = 4 seconds B) t = 2 seconds
NOTE for Part B:
If we derive the expression, we get:
\(undefined\)select all the equations that have the same solution as the equation 3x - 12 = 24
A: 15x - 60 =120
B: 3x=12
C: 3x = 36
D: x - 4 = 8
E: 12x - 12 =24
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x - 12 = 24
Add 12 on both sides.
3x = 24 + 12
3x = 36
Divide both sides by 3.
x = 12
The solution for 3x - 12 = 24 is 12.
Now,
15x - 60 = 120
15x = 120 + 60
15x = 180
x = 180/15
x = 12 _____(1)
3x = 12
x = 12/3
x = 4 ______(2)
3x = 36
x = 36/3
x = 12 ______(3)
x - 4 = 8
x = 8 + 4
x = 12 ______(4)
12x - 12 = 24
12x = 24 + 12
12x = 36
x = 36/2
x = 19 ______(5)
From (1), (2), (3), (4), and (5) we see that,
15x - 60 =120, 3x = 36, and x - 4 = 8 has the same solution as 3x - 12 = 24.
Thus,
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
\(y=3x^2+2x-8\)
Answer:
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Step-by-step explanation: