The major difference between inequality and equality is that equality represents a particular value(s) while inequality represents a range of values that are in a specific direction.
What are the properties that are used to solve inequalities?This must be noted when solving questions on equality and inequality.
For example:
x = a means that the value of x is a. It represents a particular value which is a
x < a represents all the values that are less than a.
x ≤ a represents values from a and below.
x > a represents all the values that are greater than a
x ≥ a means that the values of x are greater than or equal to a.
From the examples given above, it is obvious that a change in the direction of the inequality sign changes the values of the data represented by the inequality.
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what is the range of h(x) = |x| − 2??? please help
Answer:
it's C_67$-$(?9
Step-by-step explanation:
it's )3)384((3(# 920
Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
FIRST TO ANSWER IS MARKED BRAINLIEST!!!
Answer:
False
The perimeter of the trapezoid shown is 23 units
Step-by-step explanation:
3(3x+5)-4x+5= -15 solve for x
Answer:
x = -7
Step-by-step explanation:
Solve for x:
5 - 4 x + 3 (3 x + 5) = -15
3 (3 x + 5) = 9 x + 15:
(9 x + 15) - 4 x + 5 = -15
Grouping like terms, 9 x - 4 x + 5 + 15 = (-4 x + 9 x) + (5 + 15):
((-4 x + 9 x) + (5 + 15)) = -15
9 x - 4 x = 5 x:
5 x + (5 + 15) = -15
5 + 15 = 20:
5 x + 20 = -15
Subtract 20 from both sides:
5 x + (20 - 20) = -20 - 15
20 - 20 = 0:
5 x = -20 - 15
-20 - 15 = -35:
5 x = -35
Divide both sides of 5 x = -35 by 5:
(5 x)/5 = (-35)/5
5/5 = 1:
x = (-35)/5
The gcd of -35 and 5 is 5, so (-35)/5 = (5 (-7))/(5×1) = 5/5×-7 = -7:
Answer: x = -7
Answer:
x = -7
--------------------------
Hope this helps!
Have a great day and God bless! :)
select the correct answer from each drop-down menu. determine the number and type of solutions for the following quadratic equations using the discriminant. equation number and type of solutions
Equation [tex]y=x^{2} +7x-11[/tex] has two real solutions.
Here are the coefficients: a=1,b=7,c=11
The discriminating party is: [tex]7^{2}[/tex] -4(1)(-11)=93
Positive, so there are two viable options.
According to the discriminant:
[tex]y=-3x^{2} +x+12[/tex] has two real solutions.
[tex]y=2x^{2} -6x+5[/tex] has zero real solutions.
[tex]y=x^{2} +7x-11[/tex] has two real solutions.
[tex]y=-x^{2} -8x-16[/tex] has one real solution.
What are the benefits of discriminant equation ?Quadratic functions occupy a special place in the academic curriculum. They are small improvements over linear functions and offer a major break from attachment to straight lines because their values may be readily derived from input values.
The discriminant informs you of the number of quadratic equation solutions or x intercepts for a parabola.
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The diagram below shows part of the graph of the equation y=[tex]2x^{2}+ax+b.[/tex] the graph intersects the x-axis at the points [tex](-\frac{7}{2}, 0) and (2,0)[/tex]. Find the value of a and the value of b
The value of a is 3.
The value of b is -14.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The function of the graph is,
y = 2x² + ax + b
The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).
Now,
Since, The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).
Hence, The points must satisfy the graph of the function.
So, Points (-7/2, 0) and (2, 0) are satisfy the function y = 2x² + ax + b.
When point (-7/2, 0) satisfy the function y = 2x² + ax + b
Then,
0 = 2 × (-7/2)² + a × (-7/2) + b
0 = 49/2 - 7a/2 + b
7a/2 - b = 49/2 .... (i)
And, When point (2, 0) satisfy the function y = 2x² + ax + b
Then,
0 = 2 × (2)² + a×2 + b
2a + b = -8 .... (ii)
Add equation (i) and (ii) we get;
7a/2 - b + 2a - b = 49/2 + (-8)
11a/2 = 33/2
11a = 33
a = 3
And, 2a + b = -8
2 × 3 + b = -8
b = -8 - 6
b = -14
Hence, The value of a is 3.
The value of b is -14.
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whats an equivalent expression to 3(x+5)
Answer:
3x+15
Multiply the single term 33 by each term of the polynomial (x+5)
3x+15
Find the difference. –8 – (–11)
Answer:
3.Step-by-step explanation:
Subtract:
-8 - (-11)= -8 + 11 or 11 + (-8)= 3.Question 4
Find the values of x, y and z.
100⁰ X
B..
y
N
Answer:
y=x=70
hope this helps
Step-by-step explanation:
In parallelogram the adjacent angles are supplementary
∠TBE+y=180
110+y=180
y=70
Also, opposite angles of a parallelogram are equal.
z=∠TSE=110
y=x=70
The midpoint of \overline{\text{AB}} AB is M(2, -2)M(2,−2). If the coordinates of AA are (-2, 1)(−2,1), what are the coordinates of BB?
The coordinate of point B from the given coordinates is (6, -9)
Midpoint of a coordinateThe formula for calculating the midpoint of coordinates is expressed according to the formula:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate points M (2, -2) and A (-2, 1)
Substitute
2 = (x₁+x₂)/2
2 = -2+x₂/2
4 = -2 + x₂
x₂ = 6
Similarly;
Substitute
-2 = (1+y₂)/2
-4 = 1+x₂/2
-8 = 1 + y₂
y₂ = -9
Hence the coordinate of point B from the given coordinates is (6, -9)
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Answer:(6,-5)
Step-by-step explanation:deta math
researchers collect continuous data with values ranging from 0-100. in the analysis phase of their research they decide to categorize the values in different ways. given the way the researchers are examining the data - determine if the data would be considered nominal, ordinal or ratio (you may use choices more than once).
The data in the given three questions can be considered as nominal, ordinal and ratio, respectively.
The frequency (or absolute frequency) of an event in statistics is the number of times the observation occurred or was recorded in an experiment or research.Within a variable, nominal data is data that may be labelled or categorized into mutually exclusive groups. These categories cannot be meaningfully arranged.Ordinal data is a sort of categorical, statistical data in which the variables have natural, ordered categories but the distances between them are unknown.Two categories ( low vs high): frequency of values between 0-49 and frequency of values between 50-100 : nominal Three frequency (count) categories (low, medium, and high) of values ranging from 0 to 25, 26 to 74, and 75 to 100 : ordinalAnalyze each number in the set individually : ratioTo learn more about frequency, visit :
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1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 units
and left 5 unita.
the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
We are given the coordinates of the points:
A (3 , 2)
B (3 , 6)
C (5 , 4)
We need to plot them on the graph paper.
Now, we need to translate the points 2 units to the up and 5 units to the left.
So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)
So, we get that:
A (3 , 2) will become A' ( - 2 , 4)
B (3 , 6) will become B' ( - 2 , 8)
C (5 , 4) will become C' ( 0 , 6)
Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
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Simplify expressions with distribution
4(5y + 2z) + 8z - 4(5z - 2y)
Answer:
28y - 4z
Step-by-step explanation:
Hey there!
In order to simplify this, we need to first distribute the numbers outside of the parentheses to the numbers inside the parentheses:
20y + 8z + 8z - 20z + 8y
Now we combine like terms:
28y - 4z
what the answerr need help asap
The answer is B
since sqrt x = x ^1/2 one being the power of the x and two being the number of radical
in this case 7sqrt x^3 = x ^ 3/7 which is B
3:00 pm, 12:30 pm, 10:00 pm,…. conjecture: next term:
The next arrival in the sequence 3:00 pm, 12:30 pm, 10:00 pm,... is 7:30 A.M.
The given sequence is 3:00 pm, 12:30 pm, 10:00 pm,...
Let us first find the difference between the arrivals from the given sequence
3:00 pm - 12:30 pm = 2:30
12:30 pm - 10:00 pm = 2:30
Since, each arrival time is 2 hours and 30 minutes prior to the previous arrival time.
Therefore, the next arrival is:
10:00 pm - 2:30 = 7:30 am
Thus, the next arrival in the sequence is 7:30 A.M.
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Marina mixed almonds and walnuts to take on her camping trip. Almonds cost $3.00 per pound and walnuts cost $4.20 per pound. If she ended up with three pounds of a mixture that costs $3.36 per pound, how many pounds of each kind of nut did she use?
Out of mixture of 3 pounds with cost $3.36 per pound ,pounds each kind of nuts used by Marina are almonds 2.1 and walnuts 0.9 pounds.
As given,
Cost per pound
Almonds=$3.00
Walnuts=$4.20
Total mixture=3 pounds
Cost of mixture=$ 3.36 per pound
Let x amount of almonds and y walnuts Marina use
According to condition,
x +y=3 __(1)
3x +4.20y =3 ×3.36 __(2)
Multiply 3 to (1) and subtract from (2)
3x +4.20y=10.08
3x +3y= 9
1.2y=1.08
⇒y=0.9
Substitute y=0.9 in (1),
x=2.1
Therefore, pounds of each kind of nuts used by Marina are almonds 2.1 and walnuts 0.9 pounds.
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The lengths of the four sides of a quadrilateral (in inches) are consecutive integers. If the perimeter is 110110 inches, find the value of the longest of the four side lengths.
The lengths of the four sides of such a quadrilateral as indicated in the task content are; 26, 27, 28 and 29.
What is the Length of the four sides of the quadrilateral?It follows from the task content that the length of the four sides of the quadrilateral in discuss be determined.
Since the lengths are consecutive integers, we can take.the lengths as;
x, (x+1), (x+2), (x+3).
Hence, the sum of the lengths is equal to 110 as follows;
x + (x+1) + (x+2) + (x+3) = 110
4x + 6 = 110
4x = 104
x = 26 which is the shortest of all sides.
Ultimately, the length of the four sides are; 26, 27, 28 and 29.
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4 ten thousand 9 thousands divided by 10
Answer:
Step-by-step explanation:
49000/ 10 = 4900
Type the expression that results from the following series of steps:
Start with
g
, times by 7, then subtract
f
I need help 15/4+(-4/1/3
The expression is simplified to -33/4
What are fractions?
Fractions are simply defined as the part of a whole set.
There are different types of fractions, which includes;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsGiven the expression;
15/4+(-4/1/3)
To simply the expression, we need to take the following steps;
First, we need to expand the bracket, we have;
15/ 4 - 4/ 1/ 3
Now, take the inverse of the divisor and multiply
15/ 4 - 4 × 3/ 1
15/ 4 - 12
Find the lowest common multiple
15 - 48/4
-33/4
Thus, the expression is simplified to -33/4
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the manufacturer of brand a automobile tires claims that its tire can save gallons of fuel over miles of driving, as compared to a popular competitor (brand b). if gasoline costs $ per gallon, how much per mile driven does this tire save the customer (brand a versus brand b)?
This tire will save $0.008 per mile
Step-by-step explanation:First of all the given information is
110 gallons per 55,000 miles
We need to find
Money saved per mile
55000 = 110
1 = 110/55000
1 miles = 0.002 gallons
Price of 1 gallon = $4.00
Price for 1 mile = 0.002 x 4.00
Price for 1 mile = $0.008
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The question is missing vital information. Therefore, complete question is
The manufacturer of Brand A automobile tires claims that its tire can save 110 gallons of fuel over 55,000 miles of driving, as compared to a popular competitor (brand B). If gasoline costs $4.00 per gallon, how much per mile driven does this tire save the customer (Brand A versus Brand B)?
Factorize the following completely
1. 4p+2pr+6pz
2. ax + bx + cx
Answer:
1. 2p(2 + r + 3z)
2. x(a + b + c)
Step-by-step explanation:
1. The greatest common factor is 2p.
4p+2pr+6pz = 2p(2 + r + 3z)
2. The greatest common factor is x.
ax + bx + cx = x(a + b + c)
g(x)=4x^2-3x+5, g(x) - g(2)
Solve the question.
f
(
4
x
2
−
5
)
=
12
x
2
−
20
Step-by-step explanation:
27040 in scientific notation
Find the rule. _____, -9, ______, 3, 9 ...
The rule of arithmetic progression is -15, -9, - 3, 3, 9, 15.
What do w mean by Arithmetic progression?An arithmetic progression is a sequence of numbers that has a fixed common difference between any two consecutive numbers (A.P.). A.P.'s example is 3,6,9,12,15,18,21,...So, to find the rule:
Given: _____, -9, ______, 3, 9Then, 9 - 3 = 6So, the difference is 6.Therefore, the rule is -15, -9, - 3, 3, 9, 15.
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How do i do this? ive been working on it for a long time
Mia completed the chart by first estimating the measurement around three objects in her house and then finding the actual measurement with her meter strip. What is the difference between the longest and shortest measurement
Using the subtraction between two amounts, it is found that:
The difference between the longest and shortest measurement is of 33 cm.
What are the measurements?The measurements are given as follows:
Orange: 36 cm.Mini Basketball: 41 cm.Bottom of a glue bottle: 8 cm.How to find the difference between the longest and shortest measurement?To find the difference between difference between the longest and shortest measurement, we have to subtracted the longest measurement by the shortest measures.
From the measurements given, we have that:
The longest measurement is of 41 cm, as 41 > 33 and 41 > 8.The shortest measurement is of 8 cm, as 8 < 33 and 8 < 41.Hence, the subtraction is given as follows:
41 cm - 8 cm = 33 cm.
The difference between the longest and shortest measurement is of 33 cm.
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what would be the cost of renting 2 lawn mowers for 5 hours?
Answer:
35 dollars
Step-by-step explanation:
thats the answer
ou have a tv that is 30 inches tall and 40 inches wide. what is the length of the diagonal of the tv.
The length of the diagonal of the TV is 50 inches
Given that the TV is 30 inches tall and 40 inches wide.
So length of the TV, l = 30 inches
and Width of the TV = 40 inches
The angle between the length and width of the TV is right angle. So we can use Pythagoras Law here.
That is, square of the hypotenuse is equal to the sum of the squares of the base and altitude of the right triangle.
i.e., If 'd' is the diagonal of the TV, then,
[tex]d^2 = l^2 +b^2 = 30^2+40^2 = 2500[/tex]
This implies that [tex]d=\sqrt{2500}=50[/tex] inches.
So the diagonal of the TV is 50 inches long.
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Answer:
50 inches
Step-by-step explanation:
Hope this helps
ax + by = 12
2x + 8y = 60
In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a/b
?
Answer:
1/4
Step-by-step explanation:
If the system has infinitely many solutions, then
[tex]\sf \boxed{\bf \dfrac{a_1}{b_1}= \dfrac{a_2}{b_2}= \dfrac{c_1}{c_2}}[/tex]
ax + by = 12 ⇒ a₁ = a ; b₁ = b ; c₁ = 12
2x + 8y =60 ⇒ a₂ = 2 ; b₂ = 8 ; c₂ = 60
[tex]\sf \dfrac{a}{2}= \dfrac{b}{8}= \dfrac{12}{60}\\\\\\ \dfrac{a}{2}= \dfrac{12}{60}\\\\a = \dfrac{12}{60}*2\\\\a = \dfrac{2}{5}[/tex]
[tex]\sf \dfrac{b}{8}= \dfrac{12}{60}\\\\ b = \dfrac{12}{60}*8\\\\b = \dfrac{8}{5}\\[/tex]
[tex]\sf \dfrac{a}{b}= \dfrac{ \dfrac{2}{5}}{ \dfrac{8}{5}}\\\\[/tex]
[tex]\sf = \dfrac{2}{5}* \dfrac{5}{8}\\\\ = \dfrac{1}{4}[/tex]
How to do rate of change using a table ? (7th grade math)
To find the rate of change in a tablet the same process applies:
1. find the coordinates of the given points, it's optional to label them.
2. find the difference between the output values.
3. find the difference between the input values.
4. calculate the ratio between the change in y to the change in x: ∆y∆x.
That's the correct answer stated above.