Given the function;
\(g(x)=-x^2-8x^5+7x^4\)The degree of the function is the largest exponent of the function.
In g(x) above, the degree of the function is odd.
\(\text{The term with the highest degre}e\text{ is negative}\)Hence, we can match the end behavior of the function to another function in the option that has odd degree and negative term.
\(\begin{gathered} f(x)=-3-x^7 \\ f(x)\text{ has an odd degre}e\text{ and the term is negative} \end{gathered}\)ANSWER: The correct option is B
Simplify the expression (-7 + 2)(8) =
Answer:
-40
Step-by-step explanation:
(-7 + 2)(8)
(-5)(8)
-40
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
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The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
there are 60 students at a college..20 students study both French and Spanish, a total of 43 students study Spanish....complete the Venn diagram for this information
Answer:
A: 13
B: 20
C: 23
Don't study: 4 students
What did I do wrong??
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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please help i need to bring my grade up :(
Jackie has a box of mixed spring flower bulbs
containing 12 daffodils, 10 hyacinths, and 14
tulips. Jackie reaches into the box, randomly
chooses a bulb, plants it, then chooses
another, and plants it. What is the probability
that the first bulb Jackie plants is a daffodil
and the second is a hyacinth?
The probability that the first plant is daffodil and the second plant is hyacinth is 2/21
Let the number of flowers be denoted as ,
Number of daffodils, D = 12
Number of hyacinths, H = 10
Number of tulips, T = 14
Total number of flowers = 12 + 10 + 14 = 36
The probability is given as = (Number of favorable outcomes)/(Total number of outcomes)
Thus, the probability of planting daffodils, P(D) = 12/36 = 1/3
The probability of planting hyacinth, P(H) = 10/35 = 2/7
We have to find the probability that the first plant was daffodils and the second was hyacinth, that is,
Probability = P(D) * P(H)
= 1/3 * 2/7
= 2/21
Hence the probability that the first plant is daffodil and the second plant is hyacinth is 2/21
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HELP ME ALSO WITH THIS!!!!!
Which is the graph of g(x)=[x+3
The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.
To understand how to plot the graph, let's consider a few points on the line.
We can choose any values for x and calculate the corresponding values for g(x).
Let's start with x = 0.
Substituting this value into the function, we get g(0) = 0 + 3 = 3.
So, the point (0, 3) is on the graph.
Next, let's choose x = 1.
Substituting this value into the function, we get g(1) = 1 + 3 = 4.
This gives us another point on the line, (1, 4).
Similarly, we can choose more values for x and calculate the corresponding values for g(x).
For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).
By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.
The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.
Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.
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Spiderman is standing 79 feet from the base of a building that is on fire. From an
angle of elevation of 630, he sees a woman screaming for help. How long must he
shoot a web-line in order to rescue the woman?
A) 88.66 feet
CB) 174.01 feet
C) 155.05 feet
D) 35.87 feet
Answer:
B) 174.01 feet
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(63°) = (79 ft)/(web length) . . . . . substitute given values
Solving for web length, we have ...
web length = (79 ft)/cos(63°) ≈ 174.01 ft
His web line must be 174.01 ft long.
Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?
∠P
∠Q
∠T
∠U
Answer:
\(\angle P\)
Step-by-step explanation:
Given
\(\triangle PRQ = \triangle TSU = 90^o\)
\(PQ = 20\) \(QR = 16\) \(PR = 12\)
\(ST = 30\) \(TU = 34\) \(SU = 16\)
See attachment
Required
Which sine of angle is equivalent to \(\frac{4}{5}\)
Considering \(\triangle PQR\)
We have:
\(\sin(P) = \frac{QR}{PQ}\) --- i.e. opposite/hypotenuse
So, we have:
\(\sin(P) = \frac{16}{20}\)
Divide by 4
\(\sin(P) = \frac{4}{5}\)
Hence:
\(\angle P\) is correct
Answer:
A or <P
Step-by-step explanation:
on edge 2021
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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PLEASE HELP ASAP (20 points) Basic Inverse Function Question
*see attachment*
Answer:
D
Step-by-step explanation:
f(x ) = \(x^{2} - 1\\\)
inverse ----> f(x) = y = x
x = \(y^{2}\) - 1
\(y^{2} = x + 1\)
y = ± \(\sqrt{x + 1}\)
a motor take 5 hours to travel 100 miles going upstream. the return trip takes 2 hours going downstream. what is the rate of the boat in still water and what is the rate of the current?
Step 1. The information we have is:
It takes the boat a time of 5 hours to go 100 miles upstream, and 2 hours to return going downstream.
Required: Find the velocity or rate of the boat, and the velocity or rate of the current.
Step 2. Remember the formula for velocity:
\(v=\frac{d}{t}\)where v is the velocity or rate, d is the distance and t is time.
Step 3. Let Vb be the rate of the boat, and Vc be the rate of the current. When the boat is going upstream, the rate of the current is subtracted from the rate of the boat. The distance d is 100 miles, and the time t is 5 hours.
Using the velocity or rate formula:
\(\begin{gathered} v=\frac{d}{t} \\ \downarrow\downarrow \\ V_b-V_c=\frac{100}{5} \end{gathered}\)SImplifying:
\(V_b-V_c=20\)This will be our first equation.
Step 4. When the boat is going downstream, the rate of the current is added to the rate of the boat. The distance is again 100 miles, but this time the time is 2 hours.
Using the velocity or rate formula:
\(\begin{gathered} v=\frac{d}{t} \\ \downarrow\downarrow \\ V_b+V_c=\frac{100}{2} \end{gathered}\)Simplifying:
\(V_b+V_c=50\)This will be our second equation.
Step 5. Summary of our two equations:
\(\begin{gathered} V_b-V_c=20 \\ V_b+V_c=50 \end{gathered}\)Step 6. Solve the system of equations to find the two rates.
To solve the system of equations we will use the elimination method. This method consists of adding the equations to eliminate one variable. In this case, we will add the two equations from step 5 to eliminate Vc:
The result is the equation:
\(2V_b=70\)Solving for Vb:
\(\begin{gathered} V_b=\frac{70}{2} \\ \boxed{V_b=35} \end{gathered}\)Step 7. Once we know the value of Vb, substitute it on the second equation from step 5 to find Vc:
\(\begin{gathered} V_b+V_c=50 \\ \downarrow\downarrow \\ 35+V_c=50 \\ \text{Solving for Vc:} \\ V_c=50-35 \\ \boxed{V_c=15} \end{gathered}\)Both rates are in miles per hour.
Answer:
\(\begin{gathered} \text{Rate of the boat in still water: 35 mi/h} \\ \text{Rate of the current: 15 mi/h} \end{gathered}\)PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm
Calculating the area of the composite figureThe sector area
The area of the sector is calculated as
Area = x/360 * πr²
Where
r² = 8² + 6²
So, we have
r² = 100
This means that
Area = 82/360 * π * 100
Evaluate
Area = 71.55
The triangle area
This is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 6
Evaluate
Area = 24
So, the area of the figure is
Figure = 24 + 71.55
Figure = 95.55
Hence, the area is 95.55
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Find the distance between the two numbers on a number line. 2.7 , 5.9
A grasshopper jumps from (4, 0) to (20, 0), where the x-axis represents horizontal distance and the y-axis represents the vertical distance from the ground, forming a parabola as it goes. Morgyn wants to write the equation of the parabola in standard form. What other piece of information does she need?
Answer:
The maximum value of the function
Step-by-step explanation:
took the quick check xd <3
I need help with this problem
at x = 1 we have one tangent line and at x = 5 we have just another tangent line.
\(f(x)=3x^2-15x\implies \left. \cfrac{df}{dx}=6x-15 \right|_{x=1}\implies \stackrel{\stackrel{m}{\downarrow }}{-9}~\hfill \left. 6x-15\cfrac{}{} \right|_{x=5}\implies \stackrel{\stackrel{m}{\downarrow }}{15}\)
so we have the slopes, but what about the coordinates?
well, for the first one we know x = 1 and we also know f(x), let's use f(1) to get "y", and likewise we'll do the for the second one.
\(\stackrel{x=1}{f(1)}=3(1)^2-15(1)\implies f(1)=-12\qquad \qquad (\stackrel{x_1}{1}~~,~~\stackrel{y_1}{-12}) \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-12)}=\stackrel{m}{-9}(x-\stackrel{x_1}{1}) \\\\\\ y+12=-9x+9\implies y=-9x-3 \\\\[-0.35em] ~\dotfill\)
\(\stackrel{x=5}{f(5)}=3(5)^2-15(5)\implies f(5)=0\qquad (\stackrel{x_1}{5}~~,~~\stackrel{y_1}{0}) \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{15}(x-\stackrel{x_1}{5})\implies y=15x-75\)
Find the slope of the line graphed below.
Which ordered pair could represent another vertex of the image? (0, –1) (2, 6) (4, 0) (6, 1)
Answer:
Step-by-step explanation:
t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.
-> (2, 1) -> + 4 units on X
-> = (6, 1)
or
-> (2, 1) -> +4 units on Y
-> = (2, 5)
(2, 5) isn't an answer so the unique possible answer is (6, 1)
Answer: (6, 1)
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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A triangle has an area of 66 in2. If the base is 11 inches, what is the height?
\( \Large{\boxed{\sf Height = 12 \ in}} \)
\( \\ \)
Explanation:The area of a triangle is given by the following formula:
\( \\ \)
\( \left[ \begin{array}{c c c} \underline{\tt Area \ of \ a \ triangle \text{:}} \\ ~ \\ \tt A = \dfrac{B \cdot H}{2} \end{array} \right] \)
Where:
A is the area of the triangle.B is the base.H is the height.\( \\ \)
\( \Large{\boxed{\sf Given \text{:} } \ \begin{cases} \sf A &=\sf 66 \ in^2 \\ \sf B &=\sf 11 \ in \end{cases} } \)
\( \\ \)
Substitute these values into the formula and solve for H.
\( \sf A = \dfrac{B \cdot H}{2} \\ \\ \\ \longrightarrow \sf 66 \ in^2 = \dfrac{11 \ in \cdot H}{2} \)
\( \\ \)
Multiply both sides by 2:
\( \longrightarrow \sf 66 \ in^2 \cdot 2 = \dfrac{11 \ in \cdot H}{2} \cdot 2 \\ \\ \\ \longrightarrow \sf 132 \ in^2 = 11 \ in \cdot H \)
\( \\ \)
Divide both sides by 11in :
\( \longrightarrow \sf \dfrac{132 \ in^2 }{11 \ in } = H \\ \\ \\ \longrightarrow \boxed{\boxed{\sf H = 12 \ in}} \)
\( \\ \)
\( \hrulfill \)
\( \\ \)
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A triangle has an area of 66 in². If the base is 11 inches, what is the height?
Answer:The height of the triangle is 12 inches.
Step-by-step explanation:As per the provided information in the given problem, we know that the area of a triangle is given by 66 inches². The base of the triangle is given by 11 inches. In this problem, we are tasked to find the height of the triangle.
To do this, we will use the formula below:
\(\Large\begin{aligned}\rm\qquad\dashrightarrow{Area_{(Triangle)} = \dfrac{1}{2}bh}\end{aligned}\)
Where:
The base is denoted as b.The height is denoted as h.Substitute the given values into the formula given earlier and solve for h:
\(\Large\begin{aligned}\rm\dashrightarrow{Area_{(Triangle)}}& = \rm{\dfrac{1}{2}bh}\\\rm\dashrightarrow{66\: in^2}& = \rm{0.5(11\: in)(h)} \\\rm\dashrightarrow{66\: in^2}& = \rm{(5.5\: in)(h)} \\\rm\dashrightarrow{\dfrac{66\: in^{\cancel{2}}}{5.5\: \cancel{in}}}& = \rm{\dfrac{(\cancel{5.5\: in})(h)}{\cancel{5.5\: in}}} \\\rm\dashrightarrow{12\: in}& = \rm{h}\end{aligned}\)
Hence, the height of the triangle is 12 inches.
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٩(。・ω・。)و
A motorcycle engine is 600 cubic centimeters (600 cc). If 1 cm3 equals 1 mL of volume, how many liters are in the motorcycle engine? (Note: 1,000 mL = 1 L.)
Answer: motorcycle engine capacity = 0.6 L
Step-by-step explanation:
i did the assignment on edge...it is correct.
Have a great day ya'll!!
Answer:
0.6L
Step-by-step explanation:
did it on edge 2020 chemistry assignment
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
How to do because I dont know need help ASAP 20 points
Some arithmetic sequences could be easier to write as functions. As long as I know what value "n" has, I can find out any term in a particular Sequence whenever I need to. You might choose the implicit term over the prior term of a Sequence if it is known.
What is meant by Arithmetic Sequences?The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Some arithmetic sequences could be easier to write as functions. You are aware of the prior term.
Consider that we only have the numbers (...,4,...) from an arithmetic sequence with a common difference of 5.
The complete question is:
You are given the first four terms of an arithmetic sequence. Under what conditions might a recursive formula be preferred over the explicit formula? Under what conditions might an explicit formula be preferred over the recursive formula?
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Find the perimeter of the figure shown above with aside length 5 unit
The perimeter of the figure with side length of 5 units is 50 units
How to determine the perimeter of the figureFrom the question, we have the following parameters that can be used in our computation:
Shape = rectangle
Smaller shapes = squares
Side lengths = 5 units
The perimeter of the figure is calculated as
Perimeter = Number of visible sides * Side length of the square shape
In this case, we have
Number of visible sides = 10
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 10 * 5
Evaluate the products
Perimeter = 50 units
Hence, the perimeter is 50 units
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My last math question! Plz help if you can and it asks for the elimination method. thank you!
15
20
Need to reduce this fraction to the lowest terms
Answer:
3/4
Step-by-step explanation:
BTW...can i plz get brainliest??? pllzzzzzz
Answer:
3/4
Step-by-step explanation:
15/20-- both go into 5----3/4
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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