The equation which has an axis of symmetry with the equation x = 3 as required in the task content is; y = x² - 6x +3.
Which equation among the given answer choices has an axis of symmetry; x = 3?It follows from the task content that the equation which has an axis of symmetry; x = 3 be determined among the answer choices.
By expressing the equation; y = x² - 6x +3 in vertex form; y = ( x - h )² + k; where the axis of symmetry is given by; x = h; we have that;
y = ( x - 3 )² - 6
On this note, it can be concluded that the axis of symmetry of the considered equation; y = x² - 6x +3 is; x = 3.
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A popular brand has introduced a new design of jeans. All major stores have stocked the jeans because the brand usually sells very well. But the cost of these jeans is much higher than those of other brands, so people don't buy them. How will the price of the jeans be affected? Give reasons to your answer
If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.
For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.
the price of the jeans is likely to be affected by the low demand resulting from the high cost.
Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:
1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.
2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.
3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.
In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.
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How high up on the wall will a 20-foot ladder touch if the foot of the ladder is placed 5 feet from the wall? Round to the nearest tenth
The ladder with a length of 20 feet makes 19.4° with the ground.
Length of the ladder = 20 feet
Distance of base of the ladder from the wall = 5 feet
What is the Cosine of an angle?The cosine of an angle is the ratio of the adjacent side(to that angle) to the hypotenuse of the right triangle.
Suppose the ladder makes \(0\) from the ground.
So, \(Cos0=\frac{5}{20}\)
\(Cos0=\frac{1}{4}\)
\(0=Cos^{-1}(\frac{1}{4})\)
\(0=Cos^{-1}0.3\)
\(0=19.4\)°
Thus, the ladder makes 19.4° with the ground.
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A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.
Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:
Late On-time
X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12−$12minus, dollar sign, 12 \$8$8dollar sign, 8
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90
Given that \mu_X=\$6μ
X
=$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_Xσ
X
sigma, start subscript, X, end subscript.
Round your answer to two decimal places.
\sigma_X=σ
X
=sigma, start subscript, X, end subscript, equals
dollars
The standard deviation for the given probability distribution is;
σₓ = $6
Probability Distribution
The image for the probability distribution is missing and so i have attached it.
We are given;
Expected Value which is the mean as;
µₓ = $6
Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;
Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36
Thus, standard deviation of the random X is;
σₓ = √36
σₓ = $6
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John and arena bought school supplies. John spent $10.80 on 5 notebooks and 6 pens. Arena spent $8,40 on 4 notebooks and 4 pens. what is the cost of one notebook and what is the cost of one pen?
Answer:
Notebook $1.8
Pen $0.3
Explanation:
Let's call x the cost of one notebook and y the cost of one pen.
If John spent $10.80 on 5 notebooks and 6 pens, we can write the following equation:
5x + 6y = 10.80
In the same way, if Arena spent $8.40 on 4 notebooks and 4 pens, we get:
4x + 4y = 8.40
Now, we have the following system of equations:
5x + 6y = 10.80
4x + 4y = 8.40
Solving the second equation for y:
4x + 4y = 8.40
4x + 4y - 4x = 8.40 - 4x
4y = 8.40 - 4x
4y/4 = 8.40/4 - 4x/4
y = 2.1 - x
Then, substitute y = 2.1 - x on the first equation:
5x + 6y = 10.80
5x + 6(2.1 - x) = 10.80
Solve for x:
5x + 6(2.1) - 6(x) = 10.80
5x + 12.6 - 6x = 10.80
-x + 12.6 = 10.80
-x + 12.6 - 12.6 = 10.80 - 12.6
-x = -1.8
x = 1.8
Now, using the value of x, we get:
y = 2.1 - x
y = 2.1 - 1.8
y = 0.3
So, the cost of one notebook is $1.8 and the cost of one pen is $0.3
Which set of ordered pairs does Not represent a function
Answer:
Step-by-step explanation:
The second set. It contains (2,2) and (2,7), so it fails the vertical-line test.
The variables x and y vary inversely with a constant of variation of 7. Use the inverse variation formula, k = xy, to find y when x = 9
Answer:
7/9---------------
We are given that:
k = 7 and x = 9Find the value of y by substituting the given values into formula:
k = xy7 = 9yy = 7/9Solve the equation for X. Also there is 100 points attached to this
Here is your answer
Hope this helps
Answer:
C
Step-by-step explanation:
To sum matrices they have to be of the same proportions
and we sum the corresponding
so we have
\(1)-3x_1+7=10\\\\-3x_1=3\\\\x_1=-1\\\\\\2)-3x_2+0=0\\\\-3x_2=0\\\\x_2=0\\\\\\3)-3x_3-1=8\\\\-3x_3=9\\\\x_3=-3\\\\\\4)-3x_4+2=-19\\\\-3x_4=-21\\\\x_4=7\\\\\\5)-3x_5-3=-18\\\\-3x_5=-15\\\\x_5=5\\\\\\6)-3x_6+4=10\\\\-3x_6=6\\\\x_6=-2\)
so the answer is C
I cannot write a matrix but there you have the values
x_1 x_2 x_3
x_4 x_5 x_6
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
The masses of two objects are compared during a physics experiment. It is determined that object A has a mass of 4×10−3 grams and object B has a mass of 4×10−4 grams. How many times larger is the mass of object A than the mass of object B?
0.1
0.4
10
40
Answer:
its 0.4
Step-by-step explanation:
The Mass of Object A is 10 times the Mass of Object B.
We have -
The mass of object A : \(4\) × \(10^{-3}\) \(grams\)The mass of object B : \(4\) × \(10^{-4}\) \(grams\)We have to find by how many times the mass of object A is larger than the mass of object B.
How can you compare the mass of two bodies?Consider the following -
A body \(B_{1}\) of mass \(M_{1}\) \(Kg\).A body \(B_{2}\) of mass \(M_{2}\; Kg\).Suppose that the mass of body \(B_{1}\) is \(n\\\) times the mass of body \(B_{2}\). We can write this statement mathematically as -
\(M_{1} \;=\;n\; M_{2}\)
We can use the above equation to compare the mass of Object A and Object B. According to the question -
\(M_{A}\;=\;n\;M_{B}\)
\(4\) × \(10^{-3}\) = \(n\) × (\(4\) × \(10^{-4}\))
On solving, we get -
\(n=10\)
Hence, the mass of object A is 10 times the mass of object B.
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A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
What is the first step needed to solve (2/5)x - 6 = -16
Answer:
Add 6 to both sides
Step-by-step explanation:
The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).
which variable is ordinal?
Answer:
Categorical variable
Step-by-step explanation:
An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.
hw to solve 6x-12/3+4=18/x
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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compare the graph of the exponential function to the parent Graph f(x)=4^xf(x)=4^x+5
Answer:
There was a vertical shift by 5 units upwards
Explanation:
Here, we want to compare the two given graphs
As we can see, the difference here is that 5 is added to the first function
What this simply means is that there is a vertical shift by 5 units
Hence we can conclude that the first function was vertically shifted by 5 units upwards to arrive at the second function
Solve:
r5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Answer:
1
Step-by-step explanation:
1 ×5-6=-1 Define this stuff is really easy are you going to do is look at all the options that they have there for our and fill in for our or whichever one works will equal to -1 so in this case the one that works is -1 Sol is think about it all you got to do is just fill it in like they give an example ours and they gave us a question or sequel to one just put one size 5 - 6 is equal to -1 -1 is what you trying to get
There are 3 red marbles and 8 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to blue marbles? (b) What is the ratio of red marbles to all marbles in the bag?
Answer:
a.) 11:8
b.) 3:11
Step-by-step explanation:
a)
Add all marbles
8 + 3 = 11
Blue marbles = 8
So, the ratio will be 11:8
b)
Red marbles = 3
All marbles = 11
So, the ratio will be 3:11
Hope this helps.
Answer:
Step-by-step explanation:
Help me pleasee! I dont understand this!
pls answer asap no trolls!
in a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. find the number of sides in this regular polygon. (based on problem 9.23 in the textbook)
Therefore, the number of sides in this certain regular polygon is 10.
In a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. This means that the interior angle and the exterior angle are supplementary, or add up to 180 degrees. We can use this information to create an equation and solve for the number of sides in the regular polygon.
Let x be the measure of the exterior angle and 4x be the measure of the interior angle. Then we have:
x + 4x = 180
5x = 180
x = 36
Now, we know that the sum of the exterior angles in a regular polygon is always 360 degrees. So we can use this information to find the number of sides:
360/x = 360/36 = 10
Therefore, the number of sides in this certain regular polygon is 10.
Answer: 10.
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solve the system of equation without graphing and show your reasoning write the answer as (x,y)
5x+y=7
20x+2=y
The solution of given system of equations is (1/5, 6).
What is system of equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.
Given equations : 5x+y=7
20x+2=y
We can solve it by using substitution method:
Now, we have 5x+y=7
it can be written as,
y = 7 - 5x .... equation 1
Similarly, we have 20x+2=y
can be written as,
y = 20x+2 ..... equation 2
Subtracting equation 1 from equation 2
we get, 20x+2 - ( 7 - 5x ) = 0
20x + 5x + 2 - 7 = 0
25x = 5
x = 1/5
Putting x=1/5 in equation 1,
we get, y = 20 × 1/5 + 2
= 4 +2
= 6
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What is the domain of the square root function graphed below?
6 times the number of waiters at a restaurant was 6 less than the number of
customers in the restaurant. The number of waiters was 3. How many customers
were there?
Answer:
12
Step-by-step explanation:
6x3-6=12
Answer:
12 customers
Step-by-step explanation:
6*3=18
18-6=12
So, there were 12 customers
:)
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
If a student thinks of a number from 1 to 75, what is the probability that the number will be 20, 30, or 40?If a student thinks of a number from 1 to 75, what is the probability that the number will be 20, 30, or 40?
Answer:
the probability is 3/75.
PLEASE HELP IF I DONT GET THIS IN 10 MIN ILL BE TOAST
Answer:
your answer will be
1 -y is a variable
3- y is a term
4 -9 is a constant
6- 9 is a term
Step-by-step explanation:
if i'm wrong please correct me i hope i helped though
7. Identify the axis of symmetry of the parabola.
y = -1
-8-6-4 P
-2/
X = 1
X = -1
y4
8
y = 1
6-
4-
2+
CO
+
4 68 X
Q
Answer:
The answer is y=-1 (answer is C).
i also need help on this
The frog was jumping at 3.6 feet per second
What is an equation?An equation is an expression that shows how two or more numbers and variables are related to each other. Types of equations can either be linear, quadratic or cubic
The unit rate can be defined as the ratio of two quantities. It is a ratio that has a denominator equal to one.
A frog jumps 9 3/5 feet (48/5) in the span of 2 2/3 (8/3) seconds
The unit rate = Total distance jumped / total time
Unit rate = (48/5) feet / (8/3) seconds = 3.6 feet per second
The unit rate is 3.6 feet per second
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Find u. See image below.
The value of u is 2 in the given right-angled triangle.
The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.
We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.
What is Pythagoras theorem?It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a right-angled triangle ABC, if
BC = hypotenuse
AC and AB are the other two sides then,
\(BC^2 = AC^2 + AB^2\).
For this problem, we can find the value of u by using trigonometric identities.
From the figure, we have an angle of 45°.
Consider Cos 45°.
Cos Ф = base / hypotenuse
Cos 45° = \(\sqrt{2}\) / u ...........(1)
From trigonometric identities of cosine.
We have,
Cos 45° = 1 / \(\sqrt{2}\)............(2)
From (1) and (2)
We get,
1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u
u = 2.
Thus the value of u is 2 in the given right-angled triangle.
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can someone explain how to find the answer to x
Answer:
130
Step-by-step explanation:
X is the alternate corresponding angle to 50. 50+y=180
y=130
x and y = the same thing so 130 is the value of x
Whats the area?????????????
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation: