Answer:
41
Step-by-step explanation:
Curtis is playing a trivia game.
Number of points earned for each correct answer = 2
Number of points lost for each correct answer = 0.25
Given that:
Number of correct answers given by Curtis = 21
Number of wrong answers given by Curtis = 4
To find:
Total score of the game by Curtis?
Solution:
First of all, let us find the points earned by correct answers.
Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.
Points earned by correct answers = 21 [tex]\times[/tex] 2 = 42
Now, let us find the points to be lost by wrong answers.
Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.
Points lost by wrong answers = 4 [tex]\times[/tex] 0.25 = 1
The score of the game can be calculated by subtracting the points lost from the points earned.
Score = 42 - 1 = 41
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
Which equation represents f(x)?
f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
The translation of the parent function is:
g(x) = ∛(x + 6) + 1
How do translations work?There are two types of translations, these are:
Horizontal translation:
For a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive the translation is upwards.If N is negative the translation is downwards.Here we start with the parent function:
f(x) = ∛x
And we apply two translations such that:
g(x) = ∛(x + a) + b
Such that:
g(-7) = 0
g(2) = 3
Then we have the system of equations:
∛(-7 + a) + b = 0
∛(2 + a) + b = 3
From the options, the only ones that make the first option true are:
g(x) = ∛(x + 6) + 1
Such that when evaluated in x = -7 we get:
g(-7) = ∛(-7 + 6) + 1 = ∛(-1) + 1 = 0
When evaluated in x = 2 it gives:
∛(2 + 6) + 1 = ∛(8) + 1 = 2+ 1 = 3
So the only option that meets these conditions is:
g(x) = ∛(x + 6) + 1
Which is a translation to the left of 6 units and up 1 unit.
If you want to learn more about translations, you can read:
https://brainly.com/question/17586310
Answer:
A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
Step-by-step explanation:
I Just take the test
How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to explain. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.
Answer:
I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.
To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have
–1 –1
–1 –1
–1 –1
Two groups of negative one in three's, adding that up we have 6.
Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.
30. QP, given Q(0, 6) and P(-4, -2)
Domain
Range
Answer:
I think the domain would be the x values and range would be the y values in the given 2 points.
Domain : [-4 , 0]
Range : [-2 , 6]
I hope you get this right.
What is the area of the circle shown below? 14 cm
Answer:
154cm squared
Step-by-step explanation:
what is the percent of 45% of $432
Answer:
45% of 432 is 194.4
Step-by-step explanation:
Answer:
I'm not too sure what your question is asking, I'm guessing you want to know what 45% of $432 is
45% of $432 is $194.4
Step-by-step explanation:
% basically means out of 100 so 45% is 45 out of 100:
45/100(432)
19440/100
194.4
How many kilograms are in 242,000 milligrams?
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
Answer:
0.242 kg
Step-by-step explanation:
divide the mass by 1e+6
What is the value of 1 − 2sin^2(105°)?
A.) -√3/2
B.) -1/2
C.) 1/2
D.) √3/2
Answer:
a
Step-by-step explanation:
edge
Answer:
a
Step-by-step explanation:
edge
Quadratic Equation to Standard Form
Step-by-step explanation:
The general Quadratic Form is [tex]ax {}^{2} + bx + c = 0 \\ - 2 {x}^{2} - 3x + 19 = 0 \\ divide \: the \: whole \: equation \: by \: - 1 \\ 2 {x}^{2} + 3x - 19 = 0[/tex]dividing the wholeequation by -1 is to make sure that the coefficient of x^2 is positive.PLZ dont ignore me! I need help on this :(
Ethan school has sports field with an area of 6450.35 yd.² if the length of the field is 90.85 yards what is the white of this field
Answer:
71
Step-by-step explanation:
b) Find the values of y.
y² = 169
I wrote that it equals to 13 but it’s not right. Please help!!
Answer:
y = ± 13
Step-by-step explanation:
y² = 169 ( take square root of both sides )
y = ± [tex]\sqrt{169}[/tex] = ± 13
since 13 × 13 = 169 and - 13 × - 13 = 169
then y = 13 and y = - 13
Convert 40% to a fraction, in simplest form.
Answer:
[tex] \frac{2}{5} [/tex]
HELP PLEASEEEE PLEASEEEEE
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds.
What is the most reasonable domain for this situation? Explain your answer.
Answer:
34
Step-by-step explanation:
3esw
Answer:
The domain is 0≤t≤4
Step-by-step explanation:
The domain for this function should not include any negative t values (since that would mean the time is negative) and it should not include any t values where the height is negative (since a negative heigh doesn't make sense in the context of this problem). The t values between 0 and 4 are the only t values where both of these conditions are met.
What is the value of x in the equation 6(x - 1) + 35 = 3x+29
Answer:
Step-by-step explanation:
6x-6+35 = 3x+29
6x - 3x = 29-29
3x = 0
x=0
What is the value of x in the equation 3 - 2x= -1 5x?
Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
What is the image of (-6,5) after a reflection over the line y=x?
Answer:
(5, - 6 )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
(- 6, 5 ) → (5, - 6 )
can someone explain what rise over run means pls
Step-by-step explanation:
Rise over run is often referred to as the slope of the line or the gradient of the line. It is the measure obtained by dividing the y component of the line with the x component of the line. The rise over run ratio is an important characteristic to define the line, and is required to find the equation of the line.
You can buy 5 pounds of chicken from Key food for $19.95. You can also buy 4 pounds of chicken from TraderJoes’s for $18.00. Which one is the better deal?
Answer:
key food has the better deal
Step-by-step explanation:
19.95/5 = 3.99 per pound and 18/5 = 4.50 per pound
The profits of Mr. Unlucky's company can be represented by the equation f(x)=−3x^2+18x−4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.What is the maximum profit?
Answer:
Step-by-step explanation:
maximum years would be where x=-b/2a or -18/-6 or x=3
put that into the equation to get y=-27+54-4=23 hundreds of thousands.
from year 3 on, the profit decreases
the zero point is where y=0 this is -3x^2+18x-4=0
or 3x^2-18x+4=0
quadratic formula
x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61
x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. ... Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.
Answer:
The rational number includes only those decimals, which are finite and repeating.
Step-by-step explanation:
Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).
The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.
which point is on the graph of f(x) = 6x?
answer: (1,6)
Cafe A offers 2 free bottled waters or juices for every 20 purchased. Cafe B offers 3 free bottled waters or juices for every 25 purchase. If you purchased 50 drinks at each cafe how many drinks would you get?
Answer:
Cafe A - 54
Cafe B - 56
Step-by-step explanation:
If you can buy two cans of pinapple
chuncks for $3.25, then how many can
you buy with $19.50?
Step-by-step explanation:
3.25÷2=1.625
19.5÷1.625=12
Which expression is equivalent to: n + 2n - 0.28n
A. 3n - 1.28
B. 2.72n
C. 3.28n
D. 2.6n - 1
PLEASE HELPP
In December, it snowed 10 inches. In January it snowed 3 inches. What
is the combined amount of snow for December and January? Write your
answer in simplest form.
13 inches is the combined amount of snow for December and January.
What is addition?Addition in maths, a process of combining two or more numbers.
Given that, In December, it snowed 10 inches. In January, it snowed 3 inches.
10+3 = 13
Hence, 13 inches are the combined amount of snow for December and January.
For more reference on addition, click;
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a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
what does “pi” equal?
Answer:
here!
Step-by-step explanation:
"In decimal form, the value of pi is approximately 3.14."
hope this helps! :)
Answer:
pi equal 3.141492654 ................. and more but that is the standard answer
Step-by-step explanation:
can you help me with this it’s been due
- (4, 5) and (4, -2) -
We can find the slope by using rise/run
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{5-(-2)}{4-4} \\[/tex]
As expected, the slope is indeed undefined. The denominator can't be 0 but this one has denominator that's 0 which is undefined.
Meaning that, when the x-value for both ordered pairs are the same, the slope will be undefined.
For the graph, It should be like this below in the picture.
does my answers is right?
Based on the given task content, the identity property of each of the questions are below:
4 + (x + y) = (4 + x) + y
Distributive propertyIf √49 = 7 and 7 = 3 + 4, then √49 = 3 + 4
Transitive property(mn) × 1 = mn
Distributive property(x + 3) × 0 = 0
Zero property(x + 2) + y = (2 + x) + y
Distributive property2(1/2) = 1
Inverse property3 = 3
Reflexive property10k² + (-10k²) = 0
Inverse property5(x + 7) = 5x + 35
Distributive propertyIf -7v = 28, then 28 = -7v
Symmetric propertyProperty of identityDistributive property states that multiplying the sum of two or more number gives the same result.
Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z.
The additive inverse property states that adding a number and the inverse of the same number gives a sum of 0.
The multiplicative inverse property states that multiplying a nonzero number with the inverse of the same nonzero gives a product of 1.
The reflexive property of equality states that a number is always equal to itself, that 1 = 1
Learn more about property of identity:
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can someone help me with 3x+5=11
3x+5=11
3x=6
x=2
Answer is x=2 Hope this helps