Answer: B. The minimum y-value of g(x) is -3.
Step-by-step explanation:
Based on the given functions:
f(x) = 3 - 3
g(x) = 7x² - 3
The y-value of f(x) is constant at -3, regardless of the value of x. Therefore, f(x) does not have a minimum y-value, and option A is incorrect.
The y-value of g(x) is determined by the quadratic term 7x². Since the coefficient of x² is positive (7), the parabola opens upwards, indicating that g(x) has a minimum y-value. To find the minimum value of g(x), we can look at the vertex of the parabola, which occurs when x = -b/2a in the quadratic equation ax² + bx + c. In this case, a = 7 and b = 0, so the vertex is at x = -0/2(7) = 0. Substituting x = 0 into g(x), we find: g(0) = 7(0)² - 3 = -3 Therefore, the minimum y-value of g(x) is -3, and option B is correct.
Option C, stating that g(x) has the smallest possible y-value, is incorrect because the y-value of g(x) can be larger than -3 depending on the value of x.
Option D, stating that f(x) has the smallest possible y-value, is incorrect because f(x) does not have a minimum y-value as it is constant at -3.
Therefore, the correct answer is B. The minimum y-value of g(x) is -3.
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. In 1983, about 1600 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003?
An important part of the customer service responsibilities of a company relates to the speed with which troubles in residential service can be repaired. Suppose that past data indicate that the likelihood is 0.70 that service troubles can be repaired on the same day they are reported. For the first five troubles reported on a given day, what is the mean of the distribution used in this problem?
Select one:
A.
350
B.
3.5
C.
0.35
D.
0.7143
E.
3500
The mean of the distribution used in this problem is 3.5.The answer is B. 3.5.
To find the mean of the distribution used in this problem, we need to calculate the expected number of troubles that can be repaired on the same day out of the first five reported. The likelihood of a trouble being repaired on the same day is given as 0.70.
The expected number of troubles repaired on the same day can be calculated by multiplying the probability of each event by the number of trials. In this case, we have five trials (the first five troubles reported) and a probability of 0.70 for each trial.
Expected number of troubles repaired on the same day = Probability of repair on the same day * Number of trials
= 0.70 * 5
= 3.5
This means that, on average, out of the first five troubles reported, we can expect 3.5 of them to be repaired on the same day based on the past data and the given likelihood. So, the correct answer is B. 3.5.
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A small grocery store selling jugs of milk, loafs of bread and pieces of cheese sold a total of 224 of those three items today. It sold
three times as many loafs of bread as jugs of milk, and it sold 4 times as many pieces of cheese as loafs of bread.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find the number of jugs of milk, loafs of bread, and pieces of cheese the store sold today
Answer: the store sold 14 jugs of milk, 42 loaves of bread, and 168 pieces of cheese today.
Step-by-step explanation:
a) Let's represent the number of jugs of milk as 'm', the number of loaves of bread as 'b', and the number of pieces of cheese as 'c'. According to the given information:
The total number of items sold today is 224. Therefore, we can write the equation:
m + b + c = 224
The store sold three times as many loaves of bread as jugs of milk. We can write this as:
b = 3m
The store sold four times as many pieces of cheese as loaves of bread. We can write this as:
c = 4b
b) Now, let's solve the equation:
Substituting the value of 'b' from equation (2) into equation (3):
c = 4(3m)
c = 12m
Substituting the values of 'b' and 'c' from equations (2) and (3) into equation (1):
m + 3m + 12m = 224
16m = 224
m = 224 / 16
m = 14
Using the value of 'm' in equation (2):
b = 3m
b = 3(14)
b = 42
Using the value of 'b' in equation (3):
c = 4b
c = 4(42)
c = 168
Answer:
Step-by-step explanation:
a) Let's denote the number of jugs of milk as 'x', the number of loaves of bread as 'y', and the number of pieces of cheese as 'z'.
Based on the given information, we can form two equations:
1) The total number of items sold today is 224:
x + y + z = 224
2) The store sold three times as many loaves of bread as jugs of milk:
y = 3x
3) The store sold four times as many pieces of cheese as loaves of bread:
z = 4y
b) To solve the equations and find the number of jugs of milk, loaves of bread, and pieces of cheese the store sold today, we will substitute equation (2) and equation (3) into equation (1):
x + y + z = 224
x + 3x + 4y = 224
4x + 4y = 224
Now, substitute y = 3x into the equation:
4x + 4(3x) = 224
4x + 12x = 224
16x = 224
Divide both sides by 16:
x = 224 / 16
x = 14
Now substitute the value of x back into equation (2) to find y:
y = 3x
y = 3(14)
y = 42
Finally, substitute the value of y into equation (3) to find z:
z = 4y
z = 4(42)
z = 168
Therefore, the store sold 14 jugs of milk, 42 loaves of bread, and 168 pieces of cheese today.
GEOMETRY 50POINTS
determine what type of triangle they will form.
BRILLIANT for the best answer
Answer:
acute triangle
Step-by-step explanation:
for the given sides to form a triangle
the sum of any 2 sides must be greater than the third side
given 56 , 90 , 100
56 + 90 = 146 > 100
56 + 100 = 156 > 90
90 + 100 = 190 > 56
the condition is met so the 3 lengths will form a triangle.
let a = 56 , b = 90 and c = 100 , where c represents the longest of the 3 sides , then
• if a² + b² = c² , then triangle is right
• if a² + b² > c² , then triangle is acute
• if a² + b² < c² , then triangle is obtuse
a² + b² = 56² + 90² = 3136 + 8100 = 11,236
c² = 100² = 10, 000
since a² + b² > c² , then triangle is acute
debbie wants tp compare the simple interest to compound interest on 60,000 investment
Answer:
this question is incomplete
GEOMETRY 50POINTS
find x to the nearest hundredth.
TYSM
Answer:
It's 18.37
Step-by-step explanation:
I'm smart trust me.
In random sampling, the probability of selecting an item from the population is:
Select one:
a. Un-Known
b. One
c. known
d. undefined
e. Un-decided
Note: Answer D is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
Answer: c. known
Step-by-step explanation:
In random sampling, the probability of selecting an item from the population is known. This probability can be calculated based on the sampling method and the characteristics of the population being sampled. Random sampling ensures that each item in the population has an equal chance of being selected, making the probability of selection known and calculable.
SOMEONE SOLVE THUS PLEASE ILL GIVE U THIRTY BRAINILY POINTS U WILL BE RICH PLEACE ANSWER I AM IN DESPERATE NEED THANK YOU SO MUCH
The degree of f(x) is 5, and the leading coefficient is negative. There are 3 distinct real zeros and 2 relative maximum values.
How to obtain the zeros of a function?From the graph of a function, the zeros of the function are the x-intercepts, that is, the values of x for which the graph crosses or touches the x-axis.
The function in this problem has three distinct zeros, given as follows:
2 with even multiplicity, as the graph turns at the x-axis.1 with odd multiplicity, as the graph crosses the x-axis.Hence the degree of the function is given as follows:
2 x 2 + 1 = 5.
The leading coefficient is negative, as the function has an odd degree, but increases to left and decreases to right.
The relative maximums of the functions are the points where the function makes a downward turn, changing from increasing to decreasing, hence there are two points.
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Como se llama un ángulo de 192 grados?
Answer:
reflex angle
Step-by-step explanation:
the angle of 192 degrees is called a reflex angle
Complete the following number sequence. 2, 4, 7, __, 16, __, 29, __
The completed sequence would then be: 2, 4, 7, 9, 16, 19, 29.
To complete the given number sequence, let's analyze the pattern and identify the missing terms.
Looking at the given sequence 2, 4, 7, __, 16, __, 29, __, we can observe the following pattern:
The difference between consecutive terms in the sequence is increasing by 1. In other words, the sequence is formed by adding 2 to the previous term, then adding 3, then adding 4, and so on.
Using this pattern, we can determine the missing terms as follows:
To obtain the third term, we add 2 to the second term:
7 + 2 = 9
To find the fifth term, we add 3 to the fourth term:
16 + 3 = 19
To determine the seventh term, we add 4 to the sixth term:
__ + 4 = 23
Therefore, the missing terms in the sequence are 9, 19, and 23.
By identifying the pattern of increasing differences, we can extend the sequence and fill in the missing terms accordingly.
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elsa hikes up a mountain. she hikes back down at a constant rate the table shows elsas elevation at each hour after she begins her descent
The linear equation from the given table is expressed as:
y = -1500x + 8350
How to find the equation from the table?The general form for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line through two coordinates is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
We will take the two coordinates (1, 6850) and (2, 5350)
Thus:
(y - 6850)/(x - 1) = (5350 - 6850)/(2 - 1)
(y - 6850)/(x - 1) = -1500
y - 6850 = -1500x + 1500
y = -1500x + 1500 + 6850
y = -1500x + 8350
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If a turtle travels 1/12 of a mile per hour how long will it take to get to a pond 5/6 of a mile away
Answer:
Step-by-step explanation:
To find the time it takes for the turtle to reach the pond, we can use the formula:
Time = Distance / Speed
Given that the turtle travels at a speed of 1/12 mile per hour and the distance to the pond is 5/6 mile, we can substitute these values into the formula:
Time = (5/6) / (1/12)
To simplify this, we can multiply the numerator by the reciprocal of the denominator:
Time = (5/6) * (12/1) = (5 * 12) / 6 = 60 / 6 = 10
Therefore, it will take the turtle 10 hours to reach the pond.
he table represents the total miles traveled, y, after a number of hours, x.
Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420
Which linear equation represents the situation?
y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x
Answer:
the answer is y=mx+c
Step-by-step explanation:
where the answer is the coefficient of the gradient which is x
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
BC = 24 (D)
Step-by-step explanation:
Special Right Triangles (30-60-90 triangle)
Geometry Final Exam
A jar of kosher dill spears is filled to the brim with a vinegar based pickling liquid and then
sealed. The base of the cylindrical jar has an area of 45 cm² and the height of the jar is
13 cm. When the pickles are opened, all the pickle juice is drained into a measuring cup,
amounting to 160 cm³ of pickle juice. Find the total volume of the dill spears.
The total volume of the dill spears is approximately 160 cm³.
To find the total volume of the dill spears, we'll need to determine the volume of the pickling liquid and subtract it from the total volume of the jar.
Given information:
Base area of the jar = 45 cm²
Height of the jar = 13 cm
Pickle juice drained = 160 cm³
First, let's calculate the volume of the jar:
The volume of a cylinder can be found using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The base area of the jar is given as 45 cm², which means πr² = 45.
So, we can find the radius (r) of the base using the formula r = √(45/π).
Let's calculate the value of r:
r = √(45/π) ≈ 3.79 cm
Now we can find the volume of the jar:
V_jar = πr²h
= π(3.79)²(13)
≈ 1818.73 cm³
Next, let's calculate the volume of the pickling liquid:
Given that 160 cm³ of pickle juice was drained, the volume of the pickling liquid is equal to the volume of the jar minus the volume of the drained pickle juice.
V_pickling_liquid = V_jar - 160
≈ 1818.73 cm³ - 160 cm³
≈ 1658.73 cm³
Finally, to find the total volume of the dill spears, we need to subtract the volume of the pickling liquid from the volume of the jar:
Total volume of dill spears = V_jar - V_pickling_liquid
≈ 1818.73 cm³ - 1658.73 cm³
≈ 160 cm³
Therefore, the total volume of the dill spears is approximately 160 cm³.
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Which expression is equivalent to 10f - 5f + 8 +6g +4?
The given expression, 10f - 5f + 8 + 6g + 4, simplifies to 5f + 12 + 6g when like terms are combined.
To simplify the expression 10f - 5f + 8 + 6g + 4, we can combine like terms by adding or subtracting coefficients that have the same variables:
10f - 5f + 8 + 6g + 4
Combining the terms with 'f', we have:
(10f - 5f) + 8 + 6g + 4
This simplifies to:
5f + 8 + 6g + 4
Next, we can combine the constant terms:
8 + 4 = 12
Thus, the simplified expression is:
5f + 12 + 6g
This expression is equivalent to 10f - 5f + 8 + 6g + 4.
In summary, the expression 10f - 5f + 8 + 6g + 4 simplifies to 5f + 12 + 6g after combining like terms.
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Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.
Answer:
To find the cardinality of the set R₁ \ (R₁ ∩ R₂), we need the specific values of sets R₁ and R₂. Please provide the values of these sets for a more accurate answer.
Regarding the polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35, we can set it equal to zero and solve for x, y, and z.
2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35 = 0
To solve this equation, we need more information or specific values assigned to the variables x, y, and z. Please provide the values or any additional conditions for finding the values of x, y, and z.
cosine rule problem.
Answer:
111
Step-by-step explanation:
a² = b² + c² - 2bc cos A
a² = (7√3)² + (√6)² - 2(7√3)(√6) cos 45°
a² = 49 × 3 + 6 - 14√18 × (√2)/2
a² = 153 - 42
a² = 111
a = √111
a = √n = √111
n = 111
Simplify the expression to a polynomial in standard form (x^2+3x+3) (-2x^2-x+6)
The polynomial [tex](x^2 + 3x + 3) * (-2x^2 - x + 6)[/tex] simplifies to [tex]-2x^4 - 7x^3 - 3x^2 + 33x + 18.[/tex]
A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. It is defined as a sum of terms, where each term consists of a variable raised to a non-negative integer exponent, multiplied by a coefficient.
The general form of a polynomial is:
P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a₀
To simplify the expression[tex](x^2 + 3x + 3) * (-2x^2 - x + 6)[/tex], we need to perform the multiplication and combine like terms.
First, we multiply each term in the first polynomial by each term in the second polynomial:
[tex](x^2 + 3x + 3) * (-2x^2 - x + 6) = x^2 * (-2x^2 - x + 6) + 3x * (-2x^2 - x + 6) + 3 * (-2x^2 - x + 6)[/tex]
Expanding each term, we get:
=[tex](-2x^4 - x^3 + 6x^2) + (-6x^3 - 3x^2 + 18x) + (-6x^2 - 3x + 18)[/tex]
Now, we combine like terms:
=[tex]-2x^4 + (-x^3 - 6x^3) + (6x^2 - 3x^2 - 6x^2) + (18x + 18x - 3x) + 18[/tex]
Simplifying further:
=[tex]-2x^4 - 7x^3 - 3x^2 + 33x + 18[/tex]
The simplified expression in polynomial standard form is:
-2x^4 - 7x^3 - 3x^2 + 33x + 18
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Reason:
The order of ABCD and EFGH is important. This is because the letters pair up based on their position.
D and H pair up because they're the last letters of ABCD and EFGH respectively. Similar polygons have congruent corresponding angles.
Take note of how the angles are marked to indicate which angles pair up.
D = H
4x = 100
x = 100/4
x = 25
Answer:
25 is the answer by matching the equial sides
Step-by-step explanation:
100°/4=X
25=X
please help I'm losing braincells
Answer:h equals 12
Step-by-step explanation:
What number completes the sequence below? Enter your answer in the input
box at the bottom.
8——-4
16——8
24——12
32——?
Answer:
16
Step-by-step explanation:
the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then
32 → [tex]\frac{1}{2}[/tex] (32)
32 → 16
The functions f(x) and g(x) are graphed.
1(x) 5
32
1
-6-5-4-3-2-11-
-2-
-3-
3458
-4
2 3 4
g(x)
Which represents where f(x) = g(x)?
Of(0) = g(0) and f(2)= g(2)
Of(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Answer: the answer is -4
Step-by-step explanation: the reason why the answer is -4 becaue all of the option is in correct.
An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown.
Test at :a 05.XCV=0.811 No. of absences -\ 10, final grade 70
By conducting a statistical test with the provided data and using a significance level of 0.05 and a critical value of 0.811, the educator can determine whether the number of absences significantly affects the final grade of the students.
To analyze the relationship between the number of absences and the final grade of students, an educator collected data from a sample. The obtained data reveals that for 10 absences, the corresponding final grade was 70. In order to determine whether the number of absences significantly impacts the final grade, a statistical test is needed.
The information provided, "Test at α = 0.05, XCV = 0.811," suggests that the educator is referring to a significance level (α) of 0.05 and the critical value (XCV) associated with this level is 0.811.
To conduct a hypothesis test, the educator needs to set up the null (H0) and alternative (Ha) hypotheses. In this case, the null hypothesis would assume that the number of absences does not have a significant effect on the final grade. The alternative hypothesis would assume that the number of absences does have a significant effect on the final grade.
Using the obtained data, the educator would perform the statistical test, such as a correlation analysis or a regression analysis, to determine the strength and significance of the relationship between absences and final grade.
If the test statistic (such as the correlation coefficient or regression coefficient) exceeds the critical value, the null hypothesis would be rejected, suggesting that the number of absences does have a significant impact on the final grade.
The educator can then interpret the results, considering factors such as the direction and strength of the relationship. Additionally, they may explore other variables or factors that could be influencing the final grade and further refine their analysis.
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24°
Solve for c.
= [?]°
C =
60% C
Enter
Answer:
96°
Step-by-step explanation:
You want the value of angle C in the diagram with two parallel lines and a triangle between them.
Angle sum theoremThe sum of angles in a triangle is 180°, so the missing angle in the triangle is ...
180° -60° -24° = 96°
Alternate interior anglesAngle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:
C = 96°
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Colin and Paul have played 38 tennis matches.
Colin has won 20 times.
Paul won the rest.
a) Estimate the probability that Colin wins.
b) Estimate the probability that Paul wins.
Answer:
P(Colin) = 20/38
P(Paul) = 18/38
Step-by-step explanation:
Colin won 20 times out of 38, so the probability that he wins would be 20/38 (or 10/19 simplified).
Paul won 18 times out of 38, so the probability that he wins would be 18/38 (or 9/19 simplified).
Answer:
a) Probability of Colin winning = 10/19
b) Probability of Paul winning = 9/19
Step-by-step explanation:
Total number of matches = 38
Colin won 20,
Paul won the rest so, 38 - 20 = 18
Paul won 18 matches,
From this data, we calculate the probabilities of Colin or Paul winning,
a) Estimate the probability that Colin wins.
Colin won 20 out of 38 matches, so his probability of winning is,
20/38 = 10/19
Probability of Colin winning = 10/19
b) Estimate the probability that Paul wins
Paul won 18 out of 38 matches, so his probability of winning is,
18/38 = 9/19
Probability of Paul winning = 9/19
IfmZC = 142° and m LI = 48°, find mU B.
The measure of angle of arc UB is 46°
What is arc angle relationships?An arc is a part of the circumference.
If two arcs in circles with equal radii have the same length, then their central angles (and measures) will be equal.
To find the measure of angle of arc UB, we use the theorem that says;
angle I = 1/2( angle ZC - angle UB)
angle I = 48°
angle ZC = 142°
Therefore ;
represent angle UB by x
48 = 1/2( 142-x)
142 - x = 96
x = 142 -96
x = 46°
Therefore the measure of angle of arc UB is 46°
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Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
A shoes delear net birr 8000 worth of shoes from a shoe company.Then,find the amount it is to pay including VAT
The total amount to pay would be 8800 Ethiopian Birr.
To find the amount to pay including VAT, we need to know the applicable VAT rate. VAT, or Value Added Tax, is a consumption tax added to the value of goods and services. The VAT rate can vary from country to country or even within different regions.
Assuming a VAT rate of 10%, we can calculate the VAT amount by multiplying the net value of the shoes by the VAT rate. In this case, the net value of the shoes is 8000 Ethiopian Birr. Therefore, the VAT amount would be 8000 * 0.10 = 800 Ethiopian Birr.
To find the total amount to pay including VAT, we add the VAT amount to the net value of the shoes. Thus, the total amount to pay would be 8000 + 800 = 8800 Ethiopian Birr.
It's important to note that the VAT rate and regulations can vary, so it's always advisable to check the specific VAT rate applicable in a given country or region. Additionally, different goods and services may have different VAT rates or exemptions, so it's crucial to consider the specific rules governing the shoe industry in the relevant jurisdiction.
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Write an inequality and solve.
Negative one hundred eighty three is at least nine more than 24 times a number.
Answer: -8 ≥ x
Step-by-step explanation:
Let x be the number, we set up an inequality:
-183 ≥ 9 + 24x [we use ≥ to present "at least"]
-192 ≥ 24x
-8 ≥ x
