The value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
System of equationFor a system of equation to have no solution, the expression on both sides must be different.
Given the system of equation
6x-5y=3 and
3x+ay=1
For the equations to have no solution, the a1/a2= b1/b2
Substitute
6/3 = -5/a
Cross multiply
2 = -5/a
a= -5/2
Hence the value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
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This venn diagram shows sports played by 10 students let events A = the students plays basketball let event B = the students plays soccer What is P(A|B)
The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4
How to deal with Venn Diagrams?
From the Venn diagram attached, it displays sports played by 10 students.
Let event A = The students play basketball.
Let event B = The student plays soccer.
Then the probability of P(A|B) will be;
P(A|B) = P(A ∩ B)/P(B)
P(A|B) = (2/10)/(5/10)
P(A|B) = 0.40
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What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?
let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]
[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]
Solve the proportion 60/n = 20/7
Answer:
The answer is zero there is no solving.
Step-by-step explanation:
cause you do
60/n=20/7, and then you move all the terms to the left
now it is: 60/2-(20/7)=0
the domain to this is n=0
add the numbers and variables together and get
60/n-(+20/7)=0 now get rid of the parentheses and now you got
60/n-20/7=0
and all that is 0
kinda hope this help lol
9. Which point is on the graph of 2x - 16y=-8?
OA (-4,0)
O B. (0,2)
O
c. (0,4)
O D.
D. (1.0)
Answer:
A. (-4,0)
Step-by-step explanation:
5) Kerjakan perkalian dibawah ini
82
44
X
Answer:
1. 3608
2.3956
3. 714
Step-by-step explanation:
jap darab ke apa ni
What is the solution to √6x-3 = 2√x?
Answer:
the answer is B
Step-by-step explanation:
the answer is B if it correct can i have brainalliest
PLS HELP ME ASAP!!!!!
Answer:
c
Step-by-step explanation:
its just the dilate of the triangle which both add up to 180
Solve the following equation by factoring.
y²-8y=0
Answer:
y=0, y=8
Step-by-step explanation:
y²-8y=0
y(y-8)=0
so either y=0 or y-8=0
so y=0, y=8
Problem is in the picture
The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15 centimeters.
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.
In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:
G(f) = 2.57f + 47.22
G(49) = 2.57(49) + 47.22
G(49) = 125.93 + 47.22
G(49) = 173.15 centimeters.
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Which function is being graphed below?
The absolute function will be f(x) = | x - 5 | - 4.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x - h | + k
Where h,k is the vertex of the absolute function.
f(x) = | x - 5 | - 4
Therefore the absolute function will be f(x) = | x - 5 | - 4.
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How to calculate the area of trapezium B using the scale factor
Answer:
612.5 cm²
Step-by-step explanation:
The ratio of areas of similar figures is the square of the scale factor. The scale factor is the ratio of corresponding side lengths. Here, we must find the scale factor.
__
missing side of AThe only given side of trapezium B corresponds to an unknown side of trapezium A. We can find the length of that unknown side using the area formula.
A = 1/2(b1 +b2)h . . . . . parallel sides b1, b2; height h
98 cm² = 1/2(16 cm +b2)(7 cm) . . . . use known values
28 cm = 16 cm +b2 . . . . . . . . . . divide by 3.5 cm
b2 = 12 cm . . . . . . . . . . . . . . subtract 16 cm
The top side of trapezium A is 12 cm long.
scale factorNow we have the lengths of corresponding (top) sides, so we can find the scale factor. It is their ratio. We choose to express it as (size of B)/(size of A).,
k = (30 cm)/(12 cm) = 2.5
area of BThe area of trapezium B will be that of trapezium A multiplied by the square of the scale factor:
area B = (k²)(area A) = (2.5²)(area A)
area B = 6.25×98 cm² = 612.5 cm²
The area of trapezium B is 612.5 cm².
the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16
The missing number given the mean of the data set is 16.
What is the missing number?Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.
Missing number = (mean x total number in the data set) - sum of numbers in the data set
(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)
126 - 110
= 16
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Given: x - 5> -2.
Choose the solution set.
OxIXER, x> -7}
OxIXER, x> -3}
OxIxER, x> 3}
Answer: [tex]\{x|x \exists \mathbb{R}, x > 3 \}[/tex]
Step-by-step explanation:
Adding 5 to both sides, we get x > 3.
What is answer? (-4589)+(+7658)=
Answer: Heyaa! ~
Your Answer is 3069
Step-by-step explanation:
(-4589)+(+7658)= 3069
Simplify the expression.Add together.
Hopefully this helps you! ~
Graph: y+2=-3/4(x+4)
find the measure of the missing angle
What are the solutions to this system of
equations?
x² + 2x - 8 = 0
y = x² + 3x + 5
y = x + 13
x = 2 and x = -4
A
(15, 2); (9,-4)
B
(2, 15); (-4, 9)
Answer:
B; because it has two points where x is once 2 and once -4
Find the present value, using the future value formula and a calculator. Future value is $6,000 in two years at 9.5% simple interest. Round your answer to the nearest cent (two decimal places). Enter only the number without $ sign.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ A=6000[1+(0.095)(2)]\implies A=6000(1.19)\implies A=7140[/tex]
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is ___
Answer:
y = 1/40x + 20
Step-by-step explanation:
Slope-intercept equation format:
y = mx + b
m = slope/ gradient/ constant of variation/ rate of change
b = y-intercept
To find the slope, use the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Find two random points:
1 - (0.5, 40) , 2 - (1, 60)
Plug in:
[tex]\frac{60-40}{1-0.5}[/tex]
Solve:
[tex]\frac{20}{0.5}[/tex]
Divide:
[tex]\frac{1}{40}[/tex]
The y-intercept is when the x-coordinate is equal to 0.
The y-intercept is always the beginning.
So observing the graph, the first point is (0, 20)
The x-coordinate is 0.
Y intercept = 20.
Plug in both slope and y-intercept:
y = 1/40x + 20
Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?
Answer:
2,550 dollars hope u get a good grade
Step-by-step explanation:
the andswer is 220.32
Step-by-step explanation:
when you take 204 times the 8percent interest
204 x .08
you get 16.32
now add 16.32 and 204 and thats what you owe for your loan
In a football tournament, each team plays exactly 19 games.
Teams get 3 points for every win and 1 point for every tie.
At the end of the tournament, team Olympus got a total of 28 points.
From the following options, how many times could team Olympus have tied?
Answer:16 ties
Step-by-step explanation:
there is 19 games if they tied 16 then that 16 points so 28 - 16= 12
then 4 games left so 4 times 3 is 12
At the end of the tournament, team Olympus have tied for 13,10,7,4,1 times
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
According to question
In a football tournament, each team plays exactly 19 games.
Points for every win (w) = 3
Points for every tie (t)= 1
Points for every loose = 0
Olympus got a total of 28 points
i.e 3w + t = 28 ---------(1)
And each team plays 19 games
T + W ≤ 19 --------------(2)
and T , W ≥ 0
from equation (1) and (2)
=> 2W ≥ 9
=> W ≥ 4.5
( match can be won in integers only )
=> W ≥ 5
W T Loose
5 13 1
6 10 3
7 7 5
8 4 7
9 1 9
Hence, Olympus have tied for 13,10,7,4,1 times
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JK ∥ NM. If JL = 32, LM = 20, and JK = 60, what is the length of NM
Answer:
NM= JL + LM + JK
NM= 32 + 20 + 60
NM= [112]
NM= 10,58
Step-by-step explanation:
Hope it helps!!
Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places.
tan(π/5)
Answer: The answer is 0.7265.
Step-by-step explanation: I don't know how to explain. Put the tangent of pi / 5 into your calculator.
You get 0.726542528...
But you round to 4 decimal places.
This rounds to 0.7265.
[tex] \tan( \frac{\pi}{5} ) [/tex]
Calculate the approximate value
0.726543
Round the numberRound 0.726543 to the required place
0.7265
Answer:
0.7265
please help me with this
Answer:
10π (31.415926)
√101(10.0498756)
9.92749...
0.99853...
Step-by-step explanation:
For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4
For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.
Answer:
See explanation
Step-by-step explanation:
First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.
31.4 (10pi) is greater than
The square root of 101 which is greater than
9.92749... which is greater than
0.99853...
Hope this helps!
I need help with this problem
Answer:
sorry i can't see it properly I am very sorry
vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months
how do I solve this and do I have enough information to answer the question and what step would take to solve the problem and how do I calculate the results
The calculation of the interest based on the price given shows that vehicle B has a lower interest.
How to calculate the price?From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:
= (25000 × 5 × 5)/100
= $6250
Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:
= (29000 × 4 × 5)/100
= $5800
Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.
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what percentage of 5/2 hours is 15 minutes?
Answer:
10 %
Step-by-step explanation:
15 mn = 1/4 h
We have :
[tex]\frac{\frac{1}{4} }{\frac{5}{2} } =\frac{1}{4} \times \frac{2}{5} =\frac{2}{20} =\frac{1}{10}=0.1[/tex]
Then the percentage that 15 mn represents of 5/2 h is :
0.1 × 100 = 10 %
Without using a calculator, determine the number of real zeros of the function
f(x) = x3 + 4x2 + x − 6.
PLEASE HELP!!!
The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
How to determine the number of real zeros?The equation of the function is given as:
f(x) = x^3 + 4x^2 + x - 6
Expand the function
f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6
Reorder the terms of the function
f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6
Factor the expression
f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)
Factor out x -1
f(x) = (x^2 + 5x + 6)(x -1)
Expand
f(x) = (x^2 + 3x + 2x + 6)(x -1)
Factorize
f(x) = [x(x + 3) + 2(x + 3)](x - 1)
Factor out x + 2
f(x) = (x + 3)(x + 2)(x- 1)
The function has been completely factored;
And it has 3 linear factors
Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
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What is the measure of x
Answer:
58 degrees
Step-by-step explanation:
XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.
90-32= 58
Hope this help! (if it does pls consider giving me brainliest)
8. Simplify (+2) × (+6) (-3)
Step-by-step explanation:
= ( +2 ) × ( + 6 ) ( -3 )
= + 12 (- 3 )
[tex] = - 36[/tex]
hence - 36 is the answer...