Answer:
4c
Step-by-step explanation:
We can say that the maximum number of cars can be represented as:
Maximum number of cars = Total of rows × Number of cars per row
In this particular case, we have 4 rows and the number of cars per row is c, thus, the expression above becomes:
Maximum number of cars = 4c
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).
Answer:
-x^2 +2x +8
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x^2 – 7,
(f – g)(x) = 2x +1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 - x^2 +7
Combine like terms
= -x^2 +2x +8
Answer:
its not true. Answer is (f + g)(x) = x2 + 2x - 6
Step-by-step explanation:
Trust me. Good luck.
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?
Answer:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
.
What is y + 3 = 7(2 – 2) written in standard form?
Answer:
y = -3
Step-by-step explanation:
y + 3 = 7(2 - 2)
y + 3 = 0
Subtract 3 from both sides
y + 3 - 3 = 0 - 3
y = -3
Answer:
7x - y = 17
Step-by-step explanation:
Maybe you want the standard form of the point-slope equation ...
y +3 = 7(x -2)
__
y + 3 = 7x -14 . . . . . eliminate parentheses
17 = 7x -y . . . . . . . . add 14-y
7x - y = 17
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third
Answer:
P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6
Step-by-step explanation:
A six-sided die and a coin.
Probability of getting <3 and tail.
P((1 or 2) and Tail)
= 2/6 * 1/2
= 1/6
Answer:
1/6
Step-by-step explanation:
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]
Using the factor theorem, we have
[tex]7x^2+x-5=7(x-a)(x-b)[/tex]
and expanding gives us
[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]
So we have
[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]
which of the following is the equation of a line perpendicular to the line y=-1/3x+1 passing through the point 2,7
Answer:
y=3x+1
Step-by-step explanation:
perpendicular lines=their gradient multiply to produce -1 thus:
(line 1) y= -⅓x+1. gradient is. -⅓x
(line 2) gradient = 3
y=mx+c
3=y-7
x-2
multiply both sides by x-2 to remove the denominator.
3(x-2)=y-7
3x-6=y-7
collect the like terms to remain with y in one is side
3x-6+7=y
3x+1=y
y=3x+1
How does the graph of y = a(x – h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
Answer:
The vertex of the graph moves to a point twice as far from the y-axis.
Step-by-step explanation:
How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
The vertex of the graph moves to a point twice as far from the x-axis.
The vertex of the graph moves to a point twice as far from the y-axis.because the role of h is to indicate the distance of the vertex from the y-axis.
The vertex of the graph moves to a point half as far from the x-axis.
The vertex of the graph moves to a point half as far from the y-axis.
Transformation involves changing the position of a function.
When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.
The function is given as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
When the value of h is doubled, the new function becomes:
[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]
Rewrite as:
[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]
The above equation means that:
Function y will be translated to the right by h units
Assume the vertex is:
[tex]\mathbf{Vertex = (2,5)}[/tex]
The new vertex will be:
[tex]\mathbf{Vertex = (4,5)}[/tex]
Comparing the vertices, it means that:
The new function will have its vertex twice as far from the y-axis
Hence, option (b) is correct.
Read more about transformation at:
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Morgan had 11 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1.5 inches per hour. Assuming no more snow was falling, how much snow would Morgan have on her lawn 2 hours after the snow began to melt? How much snow would Morgan have on her lawn after tt hours of snow melting?
Answer:
two hours after the snow started melting, the depth of the snow would be 8 inches.
Step-by-step explanation:
The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).
[tex]D(t)=11-1.5\,t[/tex]
Therefore, 2 hours after the snow started melting, one would have:
[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]
which of the following is equivalent to (x+4)(3x^2+2x)??
Answer:
c
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?
Answer:
Volume of the sphere is 66.67r/h
Step-by-step explanation:
Hello,
Volume of a sphere = ⁴/₃πr³
Volume of a cylinder = πr²h
The volume of the cylinder = 50ft³
But the cylinder and sphere both have the same radius and height
Volume of a cylinder = πr²h
50 = πr²h
Make r² the subject of formula
r² = 50/πh
Volume of a sphere = ⁴/₃πr³
Put r² into the volume of a sphere
Volume of a sphere = ⁴/₃π(50/πh)r
Volume of a sphere = ⁴/₃ × 50r/h
Volume of a sphere = ²⁰⁰/₃ r/h
Volume of a sphere = 66.67r/h
The volume of the sphere is 66.67r/h
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250
Answer:
C
Step-by-step explanation:
0.1(x - 100)² + 250
0.1[(x - 100)(x - 100)] + 250
0.1(x² -200x + 10000) + 250
0.1x² - 20x + 1000 + 250
0.1x² - 20x + 1250
0.1x² - 25x + 5x + 1250
0.1x(x - 250) + 5(x + 250)
∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
learn more about cuboid here :
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Which equation correctly uses the trigonometric ratio for sine to solve for y?
Answer:
b y = 9sin(36)
Step-by-step explanation:
sin A = opp/hyp
for the 36-deg angle, opp = y, and hyp = 9.
sin 36 = opp/hyp
sin 36 = y/9
y = 9 * sin 36
Answer: b y = 9sin(36)
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Step-by-step explanation:
Step(i):-
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
Let X = 6.8
[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]
Let X = 8.8
[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]
The probability that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = P(-3≤Z≤1)
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
Conclusion:-
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answer:
x -y =4
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (1- -4)/(5 - 0)
= (1+4)/(5-0)
5/5
= 1
Then we can use slope intercept form
The slope is 1 and the y intercept is -4
y = mx+b
y = 1x-4
We want it in standard form
Ax + By = C where A is a positive integer
Subtract x from each side
-x +y = -4
Multiply by -1
x -y =4
Answer:
x -y =4
Step-by-step explanation:
Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
Answer:
Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.
Step-by-step explanation:
I just took the test on Edge 2020
if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expression in the parabola's equation?
Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
Prove that. 1-sin2A=2sin^2(45-A)
Answer:
Proved
Step-by-step explanation:
2 sin square( 45°-A)
(therefore;
by trigonometry ratios
sin45°=1)
=2sin2(1-A)
=2sin(1-A)
=1+sin2A
hence proved
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Tysm
-1+(4+7)=(-1+4)+7 what property is this
Answer:
Associative Property.
Step-by-step explanation:
The Associative Property is the property that says that (a + b) + c = a + (b + c).
Hope this helps!
Answer:
Associate Property
Step-by-step explanation:
I found my answer at baba com
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answer:
x=8 number of children
y=32 number of adults
Step-by-step explanation:
x be children and y for adults
x+y=40 ⇒ y=40-x
11x+20y=728 solve by substitution of y=40-x
11x+20(40-x)=728
11x+800-20x=728
-9x=728-800
x=72/9 ⇒ x=8 number of children
y=40-x
y=40-8⇒ y=32 number of adults
Dale is in a ski rental shop trying to decide which equipment to rent for the day. The shop offers 4 kinds of skis and 3 kinds of poles. A helmet is always a good idea, and the shop has 8 different helmets available. How many different sets of ski equipment can Dale rent? sets
Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
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Answer: 12 poles and 16 helmets
Step-by-step explanation:
3+4 =8
-4= -4
1.7
Please answer this question now
Answer:
16.2
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 6^
225 + 36 = 261
take the sq root of 261
Rewrite the given function as an equivalent function containing only cosine terms raised to a power of 1.f(x)=7cos^2x
Answer:
Step-by-step explanation:
Using the double angle formulas,
cos(2x) = cos^2(x) - sin^2(x) ............(1)
1 = cos^2(x) + sin^2(x)............(2)
add (1) and (2)
1 + cos(2x) = 2 cos^2(x)
=> cos^2(x) = (1/2) (1+cos(2x)) ..............(3)
f(x) = 7 cos^2 (x)
substituting (3)
f(x) = (7/2) (1+cos(2x))
please help with this question, I am quite confused
Answer:
Step-by-step explanation:
A-domain (-∞,∞)
B- Range(0,∞) the range is the set of values tat correspond with the domain
C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1
D-the horizontal asymptote is x-axis y=0
E- the graph is always decreasing
F-it depend on the base
Which of these workers is paid less than the minimum hourly wage? Bartender Electrician Hotel Manager Plumber
Answer:
It's A, the bartender
Step-by-step explanation:
What is the maximum value of the function
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]f(x)=-x^2+6x+1[/tex]
x coordinate:
[tex]\frac{-b}{2a}[/tex]
[tex]a=-1\\b=6[/tex]
[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]
y-coordinate:
[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]
Answer:
10
Step-by-step explanation:
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answer:
210
Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.
Step-by-step explanation:
Hello,
This question can easily be solved through the use of a venn diagram.
Total number of students = 55
Number of medals in sport = 40 = A
Number of medals in dance = 25 = B
Number of medals in music = 212 = C
Number of students that got award in the three categories = (AnBnC) = 6
n(AuBuC) = 55
n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =
n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)
n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
Therefore,
n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)
n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18
40 + 25 + 212 + 6 - 55 - 18 = 210
Note: this answer might be incorrect because of the value of C (music)
Find the vertex of the graph
Answer:
(-3, -11)
i needed to put more characters so here
Find the perimeter of a square with a diagonal of 15√2.
Answer:
15
Step-by-step explanation:
Answer:
21.213
Step-by-step explanation: