Answer:
x = 5.81
Step-by-step explanation:
3(12x-7) = 4(5x+18)
36x-21 = 20x +72
16x = 93
x = 5.81
if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets
Answer:
a) 17
b) 50
c) 6
Step-by-step explanation:
a) 3x+y
3(5)+2
15+2
17
b) 2x²= 2×5²
2×25
50
c) (x-y)2= (5-2)2
(3)2
3×2
6
Identify a rational number among the following numbers :
2 + √2, 2√2, 0 and π
Answer:
0
Step-by-step explanation:
0 is a rational number...........
Factorise completely
qn: 12axy + 8bxy + 4xy
Answer:
Step-by-step explanation:
Answer:
4xy(3a+2b+1)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of [tex]a[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of [tex]y[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since [tex]b[/tex] is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]
3) Simplify each term in parentheses.
[tex]4xy(3a+2b+1)[/tex]
Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.
There are multiple ways to prove congruence between two triangles:
SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.Keep in mind that the order of the letters matters.
Solving the Question
Given triangle JLM, we know that
S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.This is only one of the ways to prove congruence with these two triangles.
The Law of Sines is used to solve missing side lengths in oblique triangles classified as SSS and SSA
True
False
Answer:
only AAS,ASA and SSA Are classified
It's false
Step-by-step explanation:
please mark me as brainlest
False
SSS is not classifiedThe key reason is the formula 's limitations
It need angle for ØAs SSS means only three sides and no angles are given Law of sines can't be used
Select the correct answer. Simplify the polynomial expression. 3x(-2x+7) -5(x-1)(4x-3)
Answer:
The simplified form is -26x^2 + 56x -15
Step-by-step explanation:
We need to solve the expression:
3x(-2x+7)-5(x-1)(4x-3)
Multiplying the terms outside the bracket with the terms inside the bracket.
=-6x^2+21x-5(x(4x-3) -1(4x-3))
= -6x^2+21x-5(4x^2-3x-4x+3)
= -6x^2+21x-5(4x^2-7x+3)
Now multiply -5 with the terms inside the bracket
= -6x^2+21x -20x^2 +35x -15
Now, Combining the like terms:
= -6x^2 -20x^2 +21x+35x -15
Adding the like terms
= -26x^2 + 56x -15
So, the simplified form is -26x^2 + 56x -15
-26^2+56x-15 yea that should be the answer
Solve the following:
a) 4x 3= 2x + 7
b) 2x+6= 7x14
[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]
•••••••••••••••••••••••••••••••••••••••Correct Question : 2x + 6 = 7x - 14Solution : 2x + 6 = 7x - 14[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]
this ven diagram shows sports played by 10 students.
let event a = the student plays basketball
let event b = the student plays soccer
what is p(A/B)?
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
The measure of the exterior angle PNM will be x < 77. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle NPO is shown.
Line ON extends through point M to form exterior angle PNM.
Angle NPO is 38 degrees.
Angle PON is 39 degrees.
Let the exterior angle PNM is x degrees and the interior angle PYO be y.
Then we have
38 + 39 + y = 180°
y = 103°
And we know that the sum of interior and exterior angle is a triangle is 180 degrees.
x + y < 180
103 + x < 180
x < 77
Then the correct option is C.
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Two sets of values are given below.
set 1: 29 , 31 , 27 , 33 , 30
set 2: 33 , 31 , 26 , 31 , 29
Which of the following conclusions can be drawn about the means of these two sets?
A. The mean for set 2 is equal to the mean for set 1.
B. The medians of both sets are equal to the means of both sets.
C. The mean for set 2 is lower than the mean for set 1.
D. The mean for set 2 is higher than the mean for set 1.
The correct option is the mean for set 2 is equal to the mean for set 1. (option A).
What is the true option?
Mean is a measure of central tendency that is used to determine the average of a set of numbers.
Mean = sum of the numbers / total number
Mean of set 1 = (29 + 31 + 27 + 33 + 30) / 5
= 150 / 5 = 30
Mean of set 1 = (33 + 31 + 26 + 31 + 29) / 5
= 150 / 5 = 30
Median is the measure of center of a dataset. It determines the value that is at the center of a dataset that is arranged in either ascending or descending order.
Set 1 arranged in ascending order : 27, 29, 30, 31, 33
Median of set 1 = 30
Set 2 arranged in ascending order : 26, 29, 31, 31, 33
Median of set 2 = 31
Differnce in the median = 31 - 30 = 1
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Can line r be parallel to line s and line p be parallel to line q at the same time ? Explain
Yes, the line r is parallel to the line s and the line p is parallel to the line q.
Parallel lines are straight lines that do not intersect at any point.They never meet. They are always in the same distance. But they are not always ways inIf two lines AB and CD are parallel, then it can be represented by AB || CD. Some examples: Cricket stumps, white lines of zebra crossing, opposite boundaries of an rectangular box, etc.Here the given lines are p, q, r, s.
Line p and q are parallel to each other.
and the line p is parallel to the line q.
Therefore, Yes, the line r is parallel to the line s and the line p is parallel to the line q.
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Write an inequality for the given statement: The sum of twice a number and 12 is no more than 24.
A. 2x+12>24
B. 2x+12 < 24
C. 2x+12224
D. 2x+12 ≤ 24
Answer:
D)
Step-by-step explanation:
If f = {(-1, 0), (-2, 2), (-3, 4), (-4, 6), (-5, 8)}, what is the range?
Answer:
{0, 2, 4, 6, 8 }
Step-by-step explanation:
the range is the y- coordinates of the ordered pairs , then
range { 0, 2, 4, 6, 8 }
Use the given graph to determine the limit, if it exists.
The limit [tex]\lim_{X \to \ 3^{-} } f(x)[/tex] is equal to -1 to infinity for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-3 to infinity the range is from -1 to -infinity and from 3 onwards it is a straight line at y=-4. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Hence the limit is equal to (-infinity,-1]
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Solve the following inequality |x| < 13
Answer:
x < 13 and x > -13
Step-by-step explanation:
Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.
Write the positive value first by removing the absolute value symbol.
x < 13
Flip the inequality and make the 13 negative for the other side.
x > -13
Please help
15 points bc I’m new and only have like 50. I’ll also give branliest
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return
The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
According to the question,
Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].
Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
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Can someone help me please and thxxx
Answer:
C
Step-by-step explanation:
cos 30=12/x
[tex]x = 8 \sqrt{3} [/tex]
cos60=y/x
[tex]y =4 \sqrt{3} [/tex]
Answer:
x = [tex]8\sqrt{3}[/tex]
y = [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
• tan 60° = 12/ y [tan θ = opposite/ adjacent]
y = 12/ tan 60°
y = [tex]4\sqrt{3}[/tex]
• x² = y² + 12² [Pythagoras's theorem]
x² = ( [tex]4\sqrt{3}[/tex] )² + 144
x = [tex]\sqrt{(4\sqrt{3})^{2} \space\ + \space\ 144}[/tex]
x = [tex]8\sqrt{3}[/tex]
PLEASE HELP FAST!!! A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionThese method is used to determine the side and angles of a triangle
From the question given, we have the following parameters
Base of the building = 7feet (Adjacent side)
Height of the building = 18 feet (Opposite side)
Required
angle of elevation of the building
Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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The average of three unique number is 50.if the loweat number is 30 what is the sum of other two numbers
Answer:
The sum of the other two numbers is 120.
Step-by-step explanation:
To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,
(x+y+z) ÷ 3 =50
x=30
Divide both sides by three to remove the denominator.
(30+y+z)÷ 3 (*3) = 50(*3)
(30+y+z)=150
Subtract 30 from both sides.
(30+y+z)-30= 150-30
y+z=120
Solve these 2 problems hurrry!!!!!
Answer:
question 3: n is bigger than or equal to 0
question 5: n is bigger than or equal to 0 (the same as question 3)
Step-by-step explanation:
solve the same way as a equation. just remember the symbols
Plot the foci of the hyperbola represented by the equation x^2/625 − y^2/3600 =1 100pts
The attached image represents the foci of the hyperbola
How to determine the foci?The equation of the hyperbola is given as:
[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]
Rewrite as:
[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]
A hyperbola is represented as:
[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]
This means that:
h = 0
k = 0
b = 25
a = 60
Next, calculate c the distance from the center to the focus using:
[tex]c = \sqrt{a^2 -b^2}[/tex]
This gives
[tex]c = \sqrt{60^2 -25^2}[/tex]
Evaluate
[tex]c = \pm \sqrt{2975}[/tex]
This means that:
Foci = (0, -√2975) and (0, √2975)
See attachment for the hyperbola and the foci
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Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )
The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.
The group of values that will return the same value as the given expression is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
What is Present Value?
Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]
M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
0.003 = I/12
I = 0.003 X 12 = 3.6%
N = n X t = 24
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression
P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]
when plugged into the TVM solver of a calculator is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
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Find the value of x in 3x + 4y = 12 and 9x - 4y = 24.
Answer:
x=3
Step-by-step explanation:
we first write both equations:
[tex]3x + 4y = 12 \\ 9x - 4y = 24[/tex]
then we add the Left hand sides from both, and compare to the Right hand sides from both:
[tex]3x + 4y + 9x - 4y = 12 + 24 \\ 3x + 9x = 36 \\ 12x = 36 \\ x = 3[/tex]
Which ordered pair is included in the solution set to the following system?
y > x2 + 1
y < x2 – x + 1
(–3, 4)
(–2, 6)
(0, 2)
(2, 4)
Answer:
The answer is (-2,6)
Step-by-step explanation:
Answer: (-2, 6)
Step-by-step explanation:
An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.
Let's use the first ordered pair as an example: (-3,4)
Is this true?:
4 > (-3)² +1
4 < (-3)² - (-3) + 1
No, it is not:
4 < 10
4 < 13
Let's try the second answer:
Is this true?:
6 > (-2)² + 1
6 < (-2)² -(-2) + 1
YES, it is!
6 > 5
6 < 7
(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.
Let f(r) = 42 - 5, find f(3).
The cost price of a radio is #1800.If it is to be sold again at a loss of 15%,how much would the customer pay for it?
Pls I need your help it is urgent
Answer:
15/100*1800=15*1800/100=15*18=270
Step-by-step explanation:
1800-270=1530 therefore answer is 1530
Find each difference.
(-6s² + 12s-8) - (3s² +8s - 6) =
O-9s² + 4s-14
O-9s² + 4s-2
O-9s² + 20s - 14
O-9s² +20s-2
DONE ✔
Answer: [tex]-9s^2 + 4s-2[/tex]
Step-by-step explanation:
[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]
HELP ASAP/NOW....NO LINKS OR JOKING
for which value of x is F(x)=0
A. 3
B. -5
C. -3
D. -6
Answer:
D) -6
Explanation:
f(x) = 0 suggests the x value which will make the function zero.
Find slope:
⇒ (y₂ - y₁)/(x₂-x₁)
⇒ (2 - 1)/(-2-(-4))
⇒ 1/2
Equation:
⇒ y - 2 = 1/2(x - (-2))
⇒ y = x/2 + 3
f(x) = x/2 + 3If f(x) = 0
x/2 + 3 = 0
x/2 = -3
x = -6
The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?
The inequality which expresses the solution to the task is; x < 7.
Which inequality expresses the solution to the graph?According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;
let
The unknown number = x
sum of 8 and a number:
8 + x
sum of 8 and a number is less than 15:
8 + x < 15
x < 15 -8
x < 7.
Ultimately, the required inequality is; x < 7.
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