The system of linear equations that best represents the situation are:
z+y=18
3z +2y=44
What are the linear equations?In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.
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The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.4 grams. The weight of a randomly selected pack of gum has a z-score of 3.11. Which of the following statements is the best interpretation of the z-score?
The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations.
The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.
The weight of this pack of gum is lighter than the mean weight by 2.4 standard deviations.
The weight of this pack of gum is heavier than the mean weight by 2.4 standard deviations.
The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.
Why is the above statement appropriate ?The supplied z-score of 3.11 can be best translated as "This pack of gum weighs 3.11 standard deviations more than the mean weight." A z-score indicates how many standard deviations an observation is from the population mean. When an observation has a positive z-score, it is above the mean; when it has a negative z-score, it is below the mean. The selected pack of gum weighs more than the population's mean weight because the specified z-score is positive. Furthermore, a z-score of 3.11 means that the pack of gum weighs 3.11 standard deviations more than the population's mean weight.
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Which statement describes the vertical asymptotes of the graph of f(x)=x^2-64/8x-64
O The graph has no vertical asymptote.
O The graph has a vertical asymptote at x = 8 only.
O The graph has a vertical asymptote at x = -8 only.
O The graph has vertical asymptotes at both x = 8 and x = -8.
The graph has no vertical asymptote
===========================================================
Explanation:
Let's simplify the function by factoring each piece.
[tex]f(x) = \frac{x^2-64}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8(x-8)}\\\\f(x) = \frac{x+8}{8}\\\\[/tex]
In the 2nd step, I used the difference of squares rule to factor the numerator. In the 4th step, the (x-8) terms cancel.
The simplified version doesn't have any variables in the denominator. This indicates the denominator is always 8, and never 0. So it's impossible to divide by zero in this simplified form. Consequently it means this graph has no vertical asymptotes.
However, there is a hole at x = 8 because this input causes a division by zero error in the original non-simplified function. Why? Because the calculator will use PEMDAS to evaluate the expression after replacing every copy of x with 8. It likely won't attempt to simplify like shown in the steps above. This is what causes the hole at x = 8.
The value x = -8 is perfectly fine in either the original function or the simplified one. It doesn't cause the denominator to be zero.
i really need help will give brainliest
Answer:
You would put 11y-22+7y-6+3x+12+5x and that will give you the answer. Hope this helps!
write (4 x 100) + (3 x 10) + (6 x 1/10) + (7 x 1/100) in standard form.
Answer:
430.67
Step-by-step explanation:
(4 x 100) + (3 x 10) + (6 x 1/10) + (7 x 1/100)l
(400) + (30) + (6×0.1) + (7×0.01)
400 + 30 + 0.6 + 0.07
430.67
What is limit of startroot x squared minus 8 endroot as x approaches negative 3? –5 1 startroot 2 endroot startroot negative 14 endroot
The limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
Limit of a functionThe limit of the function given in question can also be written as:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex]
To determine the required limit, we will simply substitute the value of x into the function as shown:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{ (-3)^2-8}\\\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{9-8}=1\\[/tex]
Hence the limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
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Answer: the answer is b. 1
Step-by-step explanation: just got it right on edge
which of the following are accepted without proof in a logical system?check all that apply
a. postulates
b. theorems
c. conjectures
d. axioms
B postulates and C axioms are accepted without proof in a logical system.
What is Theorem?A theorem is a statement that can be proven true using standard mathematical operations and reasoning. A theorem, in general, is an embodiment of a general principle that is part of a larger theory. A proof is the process of demonstrating that a theorem is correct.
A conjecture is a proposition or conclusion based on insufficient knowledge for which no demanding proof exists.A statement that is said to be universal truth is referred to as an axiom.A postulate is a proposition that is said to be true in the absence of logical proof.A theorem is a statement with a logical proof that relies on previously confirmed statements.Learn more about theorem here:
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Which expression has the same value as the one below?
8 + 4 + (negative 9)
12 + (negative 9)
Negative 12 + 9
Negative 4 + (negative 9)
4 + (negative 9)
Answer:
A. 12 + (negative 9)
Step-by-step explanation:
8 + 4 - 9 = 3
12 - 9 = 3
-12 + 9 = -3
-4 - 9 = -13
4 - 9 = -5
this means that 8 + 4 - 9 = 12 - 9
making A the right expression
The Broad Street subway line express train stops at city hall every 9 minutes. The local train stops at the station every 12 minutes. If you arrived at the station just as both trains left, how long will you have to wait until they both arrive at the same time again?
Answer:
36 Minutes
Step-by-step explanation:
You have to find the lowest common multiple which you can do by listing the times tables for each number.
9,18,27,36,45,54
12,24,36,48,60,72
and finding the lowest multiple that matches.
Both the train will meet after 36 minutes.
Concept:To find when both the train will meet again at the same time, we need to find the LCM of the frequency.How to solve the given question?Frequency of express train = 9 minutes = 3 × 3Frequency of local train = 12 minutes = 2 × 2 × 3LCM = 2 × 2 × 3 × 3 = 36Thus, both the train will meet after 36 minutes.
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If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
LN = 64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is . What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?
A group of students from your school is part of the audience for a TV game show, the theoretical probability of students is mathematically given as
P=2.7%
What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?Generally, the equation for Probability is mathematically given as
[tex]P=\frac{Desired outcomes}{Total outcomes}[/tex]
Where Desired outcomes
D=40C5 *110C3
D=1420112865560
And Total outcomes
T=150C8 *
T=5.2572*10^10{12}
Hence, Probability
[tex]P=1420112865560/ 5.2572*10^10{12}[/tex]
P=0.0270
P=2.7%
In conclusion, the theoretical probability
P=2.7%
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Two circles lying one inside the other. The inner circle is shaded purple and the outer circle is shaded yellow. The diameter of the inner circle is labeled 9 feet. The distance between the outer and the inner circle is circle is labeled 2.5 feet.
Answer:
what are you asking for? the area of the inner circle? the area of the outer circle? the area shaded only yellow?
5x-4y=10
slope intercept form
Answer:
5x-4y=10
solution
first find x intercept is the graph cross x-axis.to find the x intercept,we set y¹=0 and the Solve x.
5x-4y=10
5x-4(0)=0
x¹ =2 y¹=0
y intercept
5x-4y=10
5(0)-4y=10
y²=2.5 x²=0
Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. the spinner is spun two times. the number of possible outcomes is 16. how many sections is the spinner divided into? 2 4 8 16
By counting the total number of outcomes, we conclude that the spinner has 4 sections.
How many sections does the spinner has?Let's say that the spinner has N sections.
If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.
Then for the experiment of spinning the spinner twice, the number of outcomes is:
O = N*N
And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:
16 = N*N = N^2
Solving for N, we have:
N = √16 = 4
Then we conclude that the spinner has 4 sections.
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2x – y = 3
ayuda por favor
A metronome is a device that ticks at adjustable intervals to help keep time when playing music. The metronome on Ryan’s piano has the basic shape below.
A square pyramid. The base is 9 centimeters by 9 centimeters. The triangular sides have a base of 9 centimeters and height of 20.5 centimeters. The pyramid has a height of 20 centimeters.
If the metronome was created out of a piece of solid wood, what is the minimum amount of solid wood that was used?
Answer:
[tex]540cm^{3}[/tex]
Step-by-step explanation:
(-17,-5), (15,-13)
Slope of the line through each pair of points
From a hot-air balloon, Ian measures a 30^{\circ}
∘
angle of depression to a landmark that’s 1250 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 721.7 f
Angle of elevation and depressionIn order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity
Given the following parameters
Angle of depression = 30 degrees
Horizontal distance =1250 feet
Required
vertical distance H
Using the SOH CAH TOA identity
tan 30 = H/1250
H = 1250tan30
H = 721.7 feet
Hence the balloon’s vertical distance above the ground is 721.7 feet
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Answer:
721.7
Step-by-step explanation:
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PLEASE HELP Which statement about the answer to this problem is most accurate?
5/6−3/8=19/24
The answer 19/24 is reasonable because both fractions are closer to 1/2 than they are to 1, making the difference close to 0.
The answer 19/24 is reasonable because 5/6 and 3/8 are both closer to 1 than to 1/2, making the difference close to 0.
The answer 19/24 is not reasonable because 5/6 is closer to 1 than to 1/2, and 3 is close to 1/2, making the difference close to 1/2.
The answer 19/24 is not reasonable because 5/6 is closer to 1/2 than to 1, and 3/8 is closer to 0 than to 1/2, making the difference close to 1/2.
The answer 19/24 is not reasonable because 5/6 is closer to 1 than to 1/2, and 3 is close to 1/2, making the difference close to 1/2.
Step-by-step explanation:
the third answer.
5/6 is almost 1, 3/8 is almost 1/2, so their difference is close to 1 - 1/2 = 1/2.
and 19/24 is much bigger than 1/2 (which would be 12/24).
in real numbers
5/6 - 3/8 = 5×4/24 - 3×3/24 = 20/24 - 9/24 = 11/24.
which is indeed very close to 1/2 (or 12/24).
It’s just fill in the blank please help LOL
Answer and explanation:
vertex: (3,25) The vertex is the minimum/maximum of a parabola where the direction it's moving in changes. For this question, that point is (3,25).
zeroes: x=6 and x=0 The zeroes of an equation are the points that y=0. Since it doesn't look like they want the full coordinate points, I would list x=6 for the point (6,0) and x=0 for the point (0,0).
y-intercept: x=0 The y-intercept is the point at which the graph crosses the y-axis, which here happens at (0,0), or x=0.
Highest point: 25 The highest point is the maximum of the graph, meaning it's the highest y-value that the graph has. Here, this is 25 (it's also the y-value for the vertex).
Time: 3 seconds The time it takes for Simon to reach the highest point is just the x-value of the vertex, so 3.
Total air time: 6 seconds This value is the total time that the y-value of the graph is above 0. To find this, you must subtract the x-values of the zeroes from each other. Since 6-0=0, Simon is in the air for 6 total seconds.
Hope this helps! :)
For each inequality, decide whether the solutions is represented by x < 2.5 or x >2.5
1. -4x + 5 > -5. 2. -25 > -5(x + 2.5)
#1
-4x+5>-5-4x>-5-5-4x>-104x<10x<2.5#2
-25>-5(x+2.5)25<5(x+2.5)x+2.5>5x>2.5Answer:
1. x < 2.5
2. x > 2.5
Step-by-step explanation:
Question 1
Given inequality:
-4x + 5 > -5
Subtract 5 from both sides:
⇒ -4x + 5 - 5 > -5 - 5
⇒ -4x > -10
Divide both sides by -4 (remembering to flip the sign as we are dividing by a negative):
⇒ -4x ÷ -4 > -10 ÷ -4
⇒ x < 2.5
Question 2
Given inequality:
-25 > -5(x + 2.5)
Expand the brackets:
⇒ -25 > -5x - 12.5
Add 12.5 to both sides:
⇒ -25 + 12.5 > -5x - 12.5 + 12.5
⇒ -12.5 > -5x
Divide both sides by -5 (remembering to flip the sign as we are dividing by a negative):
⇒ -12.5 ÷ -5 > -5x ÷ -5
⇒ 2.5 < x
⇒ x > 2.5
please help, 30 points, will give brainly
Answer:
∠ABC = 39°
Step-by-step explanation:
Since ED bisects ∠CBD :
∠EBD = ∠CBE = 30°
Now, ∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°
Solving :
99° = ∠ABC + 30° + 30°∠ABC = 99° - 60°∠ABC = 39°If y=3x+5 and z=x^2+2x-5, what is yz?
Work Shown:
yz = y(x^2+2x-5)
yz = y(x^2) + y(2x) + y(-5)
yz = x^2( y ) + 2x( y ) - 5( y )
yz = x^2( 3x+5 ) + 2x( 3x+5 ) - 5( 3x+5 )
yz = x^2*3x + x^2*5 + 2x*3x + 2x*5 - 5*3x - 5*5
yz = 3x^3 + 5x^2 + 6x^2 + 10x - 15x - 25
yz = 3x^3 + 11x^2 - 5x - 25
What is 5829×3782?
I will give you brainliest for right answer
Answer:
22045278
Step-by-step explanation:
5 8 2 9
3 7 8 2
11 6 5 8
4 6 6 3 2 0
4 0 8 0 3 0 0
1 7 4 8 7 0 0 0
2 2 0 4 5 2 7 8
Answer:
22045278
Step-by-step explanation:
It seems tricky, but if you break it down step by step it will make it a lot easier.
Hope it helped and you can do it!!
Need the answer to the question
Answer:
The graph is wider and is reflected across the x axis.
Step-by-step explanation:
See attached image.
2- Answer the following question:
a. What are the four different ways to solve a quadratic function? (5 points)
b. Solvex² - 4x - 11 = 0 using completing the square. You must show all the steps. (10 points)
c. Solve 2x² + 16x + 24 = 0 using the quadratic formula. You must show all the steps. (10 points)
A. Four ways to solve a quadratic equation
---Factoring
---Completing the square
---Quadratic equation
---Graphing
B. Solve the equation by completing the square
x^2 - 4x - 11 = 0
x^2 - 4x = 11
x^2 - 4x + 4 = 11 + 4
(x - 2)^2 = 15
x - 2 = +/- 15
x - 2 = 15 || x = 17
x - 2 = -15 || x = -13
C. Solve the equation using the quadratic formula
Quadratic formula = [tex]\frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]
Equation = 2x^2 + 16x + 24 = 0
a = 2
b = 16
c = 24
[tex]\frac{-16 +/- \sqrt{16^2 - 4(2)(24)} }{2(2)}[/tex]
[tex]\frac{-16 +/- \sqrt{256 - 192} }{4}[/tex]
[tex]\frac{-16 +/- \sqrt{64} }{4}[/tex]
[tex]\frac{-16 +/- 8 }{4}[/tex]
[-16 + 8] / 4 = -2
[-16 - 8] / 4 = -6
x = -6, -2
Hope this helps!
Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Determine whether triangles EFG and PQR are congruent
Plsss help
Answer:
B
Step-by-step explanation:
Because it flipped over the x axis
Spot the coordinates
E(-3,1)P(-3,-1)F(1,1)Q(1,-1)G(4,4)R(4,-4)Yes it's reflection along x axis
.(x,y)=(x,-y)Option B
The UAE has very specific guidelines set out for the use and display of the UAE flag. One of
the rules regards the dimensions of the flag. The rule is that the ratio of the length of the flag
to the width must be 2: 1.
The length and width of the flag is 37 cm and 18.5 cm
It is divided into four rectangular parts. The first is red in colour, its length being equivalent to
the height of the flag, while its width is 0.25 of the length of the entire flag. The other three
parts constitute the remaining area of the flag which are in the shape of three equal horizontal
rectangles, width of these rectangles should be 0.33 of the width of the entire flag . The top
most rectangle part is green, the middle is white and the lower is black in colour.
PLEASE HELP!
Martha and Emily had to sew dresses with beads. Emily had 20% more beads than Martha. Then Emily gave 25% of her beads to Martha. Now Martha has 80 beads more than Emily. How many beads did each dressmaker had at the start?
Answer:
Emily has about 73 beads and Martha has about 62
Step-by-step explanation:
E = M · 1.2
M + ( .25 · E ) = m
m = 80
Now work backwards to find the answer.
Note that to find the answer you must get rid of the variable E, so you must use the expression M · 1.2 to represent E.
M + ( .25 · M · 1.2 ) = 80
M + .3M = 80
1.3M = 80
Divide both sides by 1.3
M = 61.5
Round to the nearest one
M = 62
Now use this to find E
E = 62 · 1.2
E = 74.4
Round to nearest one
E = 73
This might be confusing but I hope it was helpful!
Also, can I get brainliest because this took a lot of work to figure out.
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
A line is a distance between two points. The possible equation of the line will be g(x) = 4x - 7
Equation of a lineA line is a distance between two points. The equation of a line in slope-intercept form is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation of the line graphed by Chin expressed as f(x) = 4x + 3, the equation similar the line must have the same slope. The possibe equation of the line will be g(x) = 4x - 7
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Answer:
C. y – 7 = 4(x – 1)
Step-by-step explanation:
I did the test and got it correct.