The algebraic systems of equations that contain one linear equation and one quadratic equation are known as linear and quadratic equations.
What Is the Linear Expression?If each term is a constant or a variable raised to the first power, an algebraic statement is referred to as a linear expression. That is to say, no exponent can be greater than 1.A variable raised to the first power is referred to as x, whereas a variable raised to the second power is referred to as x2.Five is an illustration of a constant.Keep in mind that the coefficients put in front of the variables have no real meaning. Let's take a look at a few instances of these polynomials, which are merely expressions with two or more terms.In a linear formulation,
-16x² +50x+4
-2(8x² - 25x - 2)
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What is the graph of the system of inequality?
Graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
What is inequality?
When left hand side is not exactly equal to the right hand side of an equation then it is known as inequality. For system of inequality, there are four types of inequalities <, >, [tex]\le[/tex], and [tex]\ge[/tex].
Using following steps anyone can graph the inequality:
1. Get y alone on one side of a linear inequality in two variables (like x and y) before graphing it. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.
2. The graph is a dashed line if the inequality is strict ( < or >). The graph is a solid line if the inequality is not strict ([tex]\le[/tex] or [tex]\ge[/tex] ).
3. The last step is to choose a point that is not on either line (typically (0, 0) is the simplest) and determine whether or not these coordinates fulfil the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.
Hence, the graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
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After a 20% discount, you purchase a television for $240. What was the television's
price before the reduction? (Define a variable, create an equation, solve using algebra,
and answer in a sentence.)
===========================================
Work Shown:
x = price of the TV before the discount
20% of x = 0.20x = discount, aka amount saved
x - 0.20x = 0.80x = price after discount
0.80x = 240
x = 240/0.80
x = 300
The TV was $300 before the discount.
-------------
Check:
20% of 300 = 0.20*300 = 60 dollars is the amount saved
300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.
II. Write each improper fraction as a mixed number and each mixed number as a improper fraction 23/5 20/12 3 3/4 4 7/15 18/8 45/18 8 3/10 1 11/12
Answer: 23/5 = 4 3/5
20/12 = 1 8/12 = 1 2/3
3 3/4 = 15/5
4 7/15 = 67/15
18/8 = 2 2/8 = 2 1/4
45/18 = 2 9/18 = 2 1/2
8 3/10 = 83/10
1 11/12 = 33/12
Step-by-step explanation:
Annika is comparing two companies based on the costs for renting a bike for the . Company A charges a $20 rental fee plus $4.50 the bike is rented. Company B charges a 9 rental fee plus $6.50 per hour the bike is rented.
Answer:
depends on how long u need it for
Step-by-step explanation:
What are the 7 types of triangles?
The 7 names of triangles:
Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,
Right triangle, Obtuse triangle
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Equiangular triangle: All angles are equal.
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
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the volume of a rectangular prism is x44x33x28x4
The volume of rectangular prisms is 40656.
Volume is generally defined as the amount of space that a substance or object occupies, or that is enclosed within a container.
The the formula V = Lwh used for calculation of the volume of rectangular prisms.
Where, the L represents the length of the rectangular prism
the W represents the width of the rectangular prism
the H represents the height of the rectangular prism.
The volume is the product of length width and height.
Volume = 44 x 33 x 28 = 40656
Therefore, the volume of rectangular prisms is 40656
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which angle is complementary to 56 degrees?
Answer:
34°
Step-by-step explanation:
34° is the the compliment of 56°
complementary angles can add upto 90°
56 + 34 = 90
90° - 56° = 34°
or
56° + x = 90°
-56 -56
x = 34°
Name of the angle = acute angle 34°<90°
0° - 90° = acute angles
90° - 180° = obtuse angles
The sum of two numbers is 66. Two times the lesser number is 15 more than the greater number. What are the numbers
If x is a lesser number, the equation is
Answer:
See below!
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:x + y = 66 ----------------(1)
Condition # 2:2x = y + 15
2x - y = 15 ---------------(2)
Add both equations
x + y + 2x - y = 66 + 15
x + 2x = 66 + 15
3x = 81
Divide both sides by 3
x = 27Put x = 27 in Eq. 1
27 + y = 66
Subtract 27 to both sides
y = 66 - 27
y = 39[tex]\rule[225]{225}{2}[/tex]
How do you determine if a function has a vertical asymptote or removable discontinuity?
The discontinuity exists irremovable at a given place if the limit will not exist there. On the other hand, if changing a function's value at a particular point of discontinuity results in a linear combination, that location is referred to as the detachable discontinuity.
A graph's vertical asymptote would be a vertical line with the equation x = a, in which the chart tends to positive or negative infinity even as inputs go closer to a.
A vertical line that appears to coincide with such a function's graph but doesn't really cross the curve was known as a vertical asymptote.
Whenever the two-sided limit at c exists but is still not equal to f, the discontinuity is said to be detachable at that point (c). These kinds of discontinuities could be discovered by looking for independent uncertain parameters which are zeros for denominator components that were also numerator components in the provided function.
By finding the solution to the equation n(x) = 0, where n(x) represents the denominator of the function, one can find the vertical assumptote.
Simply locate a vertical line where a section of the curve was parallel as well as very close if you want to determine the constant slope from either the graph of a function.
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According to a disease control center, 35% of people in a certain country have high blood pressure. If a person in this country is selected at random, determine the odds in favor of this person having high blood pressure. The odds are? _:_
Answer:
7 : 13
Step-by-step explanation:
If 35% of people have high blood pressure, you want the odds in favor of a randomly chosen person having high blood pressure.
OddsThe odds ratio is the ratio of favorable to unfavorable outcomes:
high blood pressure : not high blood pressure = 35% : 65% = 7 : 13
If −2≤f(x)≤5 on [−1,3] then find upper and lower bounds for ∫−13f(x)dx
Answer:
Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...
Step-by-step explanation:
The upper bound of the given function is 20 while the lower bound of the given function is -8.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
-2 ≤ f(x) ≤ 5
At the upper bond, f(x) = 5
[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]
⇒ 5(3 + 1) = 20
At the lower bond f(x) = -2
[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]
⇒ -2(3 + 1) = -8
Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".
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What is an example of a complex fraction?
The example of a complex fraction is the fraction that consisting fraction on the numerator or denominator or both, that is 4 / (1/6)
The simple fraction consist of both numerator and denominator as whole number. The term on the top is the numerator and the term on the bottom is called the denominator
The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both
The example of the complex fractions are
4 / (1/6)
Here the numerator is the 4 and it is a whole number. The denominator is 1/6 that is a fraction
Therefore, the example of a complex fraction is 4 / (1/6)
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Question 3: Multiply: 0.33.10⁵
330
330000
33000
3300
Answer:
33,000
Step-by-step explanation:
0.33 x 10^5 is 33,000
2(w+2) -w = ( w-1) + 9
Answer:0=4
Step-by-step explanation:
2(w+2)-w=(w-1)+9
2w+4-w=(w-1)+9
1w+4=(w-1)+9
w+4=w-1+9
w+4=w+8
w+4 - 4 = w+8 - 4
w=w+4
w-w = w-w +4
0=4
A radioactive compound with mass 380 grams decays at a rate of 12.1% per hour. Which equation represents how many grams of the compound will remain after 4 hours?
The equation that represents how many grams of the compound will remain after 4 hours is A(4) = 380 *(1 - 12.1%)⁴
How to determine the equation?From the question, we have the following parametersa:
Mass = 380 grams
Rate of decay= 12.1% per hour
These parameters can be represented using the following exponential equation
A(n) = A *(1 - r)ⁿ
Where
n = number of hours = 4
A = Initial mass = 380
r = rate of decay = 12.1%
Substitute the known values in the above equation, so, we have the following representation
A(4) = 380 *(1 - 12.1%)⁴
Hence, the equation is A(4) = 380 *(1 - 12.1%)⁴
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Volunteers are folding pamphlets. The time it takes to fold the pamphlets varies directly with the number of pamphlets and inversely as the number of volunteers working. If it takes 4 volunteers 2 hours to fold 400 pamphlets, how long would it take 5 volunteers to fold 600 pamphlets?
Answer:
2 hours and 24 minutes
Step-by-step explanation:
If each worker does 100 each hour than 5 workers do 500 in 2 hourse leaving 100 left so then you 2 hours aka 120 minutes divided by 5 = 24 so it all adds to be 2 hours 24 minutes
which calculation produces the smallest value
After simplification, 6×1.5 calculation produces the smallest value.
In the given question we have to find which calculation produces the smallest value.
A) 6×1.5
Now multiply 6 with 1.5. We get;
9.0
B) 25/3
Divide 25 by 3. We get;
8.33
C) 1.25×8
Multiply 1.25 with 8. We get;
10
D) 38/4
Divide 38 by 4. We get;
9.5
Hence, 6×1.5 calculation produces the smallest value.
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The right question is:
Which calculation produces the smallest value?
A) 6×1.5
B) 25/3
C) 1.25×8
D) 38/4
Question 4
1 pts
Katherine wants to fence in her 25 by 25 foot yard using wooden split rail fencing. She
does not need any fence along the side of the yard that has her house.
What will the total cost of the fencing be if wooden split rail fencing costs $85 for every
8 feet?
Answer:
$531.25
Step-by-step explanation:
The total length of fence required is given by the perimeter of a square:
[tex]P=2l+2w\\l=25ft\\w=25ft\\P=2(25ft)+2(25ft)\\P=50ft[/tex]
Since the price is per 8 foot unit of fencing:
[tex]\frac{50ft}{8ft}=6.25units[/tex]
Each unit will cost $85:
Total cost = 6.25 units($85)
Total cost =$531.25
This answer could also be found by calculating the cost per foot of the fencing: [tex]\frac{85 dollars}{8ft}=10.625\frac{dollars}{foot}[/tex]
Since 50 feet are needed: 50 ft (10.625 [tex]\frac{dollars}{foot}[/tex])=$531.25
Select the correct answer. Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(-3) = -1 B. h(8) = 21 C. h(2) = 16 D. h(13) = 18
For the given domain and range, the only option that can be true is C:
h(2) = 16
Which statement can be true?We know that we have a function h(x), such that the domain of that function is:
D: [-3, 11]
And the range is:
R: [1, 25]
We also know that:
h(8) = 19
h(-2) = 2
Now let's analyze each statement:
A) h(-3) = -1
This is false because -1 is not in the range.
B) h(8) = 21
This false, because h(8) is equal to 19 bassed on the given information.
C) h(2) = 16
This can be true, x = 2 and h(x) = 16 are in the domain and range respectively.
D) h(13) = 18
This is false because x = 18 is not in the domain.
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screenshot included below
Answer:
product A
75%
67%
Product B
Step-by-step explanation:
I just found the percentage by dividing the amount of people who found relief into the whole
Hopes this helps please mark brainliest
What’s the sum of an infinite geometric series if a1 = 5 and r = 1/3?
Answer: C) 15/2
Step-by-step explanation:
Using the formula for the sum of an infinite geometric series,
[tex]\frac{5}{1-\frac{1}{3}}=\frac{15}{2}[/tex]
Solve for m.
-m = 66
m =
Answer:
m = -66
Step-by-step explanation:
-m = -1m
-m = 66 ⇒ -m/-1 = 66/-1 ⇒ m = -66
What is the make a 10 strategy?
The to make 10 strategy is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.
Make 10, or Add up using 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.
For example
We need to make 10 to add 8 + 8.
8 + 8 = (10 - 2) + (10 - 2)
8 + 8 = 10 - 2 + 10 - 2
8 + 8 = 20 - 4
8 + 8 = 16
Thus, to make 10 is a derived facts strategy. That means we need to know some facts by hear before they can use a make 10 strategy.
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cards and chips are being created for a board game by company the number of cards produced is proportional to the number of chips that are produced over a short period of time the company produced 32 cards and four chips what is the ratio of cars the chips produce State and simplest form as a unit rate in cards per chip (I NEED ANSWERS FAST)
Answer:
8 cards per chip
Step-by-step explanation:
So 32:4 is the ratio.
Divide by 4 to get 8 cards per chip.
Is triangle RST is an acute triangle then m/s must be?
If triangle RST is an acute triangle, then m∠S must be less than 90°.
What is Acute Traingle?
A form of triangle called an acute triangle has acute angles at each of its three internal angles. Triangles with sharp angles are also known as acute triangles. Acute triangles have different side lengths, but their interior angles are always less than 90°.
Less than 90 degree angles are referred to as acute angles.When the three interior angles of a triangle are less than 90 degrees, the triangle is said to be "acute."In light of the foregoing, if triangle RST is an acute triangle,
then,
∠R , ∠S and ∠T, all are less than 90.
A triangle that is equilateral and has all three interior angles equal and less than 90 degrees, or angles that are all 60 degrees, is an example of an acute triangle.
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is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
Great than 10, but less than 100
Step-by-step explanation:
Make 700% a decimal by dividing by 100
700/100 = 7
7 = 5 = 35
700% of 5 is 35.
Answer:Greater than 10 but less than 100
Step-by-step explanation
700% of 5 = 35
35 is greater than 10
but less than 100
hope this helps
0 x ≤-21
0 x ≤21
0 x ≤-15
0 x ≤15
21. 2z>-28 (I point)
O z>-56
O z>-14
O z<-14
O z<14
Answer: [tex]z > -14[/tex]
Step-by-step explanation:
Divide both sides by 2.
What is the end behavior of f(x)?
Answer:
The first option.
Step-by-step explanation:
The graph starts very negative and ends very positive. Not sure how else to explain it.
When can two triangles become SAS congruent?
When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.
The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle.
Triangles are considered congruent by SAS if their two sides match those of the other triangle's corresponding two sides, and if their included angles are parallel in both triangles.
Hence we get the required answer.
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What are the 8 problem solving strategies?
The 8 problem-solving strategies are Draw a picture, Guess and check, Make a list, Make a table, Act it out, Work backward, Write a number sentence and Use objects.
8 problem-solving strategies are :
Draw a picture - Will a drawing assist me in comprehending and resolving the issue?Guess and check - Input numbers. Is the response logical? If not, try again using a different set of numbers.Make a listMake a tableAct it out - Grab a buddy and act out the word puzzle.Work backward - Work backward from the most recent piece of information.Write a number sentence - Is there a formula I can use to solve this issue? Do I need to multiply, divide, add, or subtract?Use objects - Are there classroom manipulatives I can use, such counters or base-10 blocks?To learn more about problem-solving here:
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