if -2x+ y =6 and -7x-4y=-8 are true equations what would the value of -9x-3y
Answers
Answer:
\(-\frac{106}{5} or -21.2\)
Step-by-step explanation:
First we would have to get x and y-values by solving systems of equations:
isolate one of the variable from any of the first 2 equations given:
-2x+ y =6 would be y = 2x + 6 when y is isolated.
now plug this equation in for the y given in the second equation:
-7x -4(2x + 6) = -8
Now solve to get the x-value,
-7x - 8x - 24 = -8
-15x - 24 = -8
-15x = 16
x = \(-\frac{16}{15}\) or -1.06
To solve for y-value, substitute the gotten x-value in any of the 2 equations and solve:
y = 2(\(-\frac{16}{15}\)) + 6
y = \(\frac{58}{15}\) or 3.86
Now that we have the x and y-values, substitute them in for the 3 equation given:
-9(\(-\frac{16}{15}\)) -3( \(\frac{58}{15}\))
=> \(-\frac{106}{5}\) or -21.2 = Final Answer
Hope this helps!
Related Questions
Martina swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Martina swim if there were no current
Answers
help asap please, im struggling
Answers
Based on the scatter plot, the best model is: C. linear.
The equation of the line of best fit is: B. y = 1.98x + 1.07.
The value of y when x = 10 is: F. 20.87.
How to determine the equation of the line of best fit?In order to write a linear equation that models the data point contained in the table, we would have to make use of a scatter plot and then determine the line of best fit.
In this scenario, the x-values would be plotted on the x-coordinate of the scatter plot while the y-values would be plotted on the y-coordinate of the scatter plot.
On the Excel worksheet, you should right click on a data point on the scatter plot, select format trend line and then tick the box to display a linear equation for the line of best fit on the scatter plot.
From the scatter plot (see attachment) which models the relationship between data points in the table, a linear equation for the line of best fit is given by:
y = 1.98x + 1.07.
Next, we would use the linear equation for the line of best fit to predict the value of y when x = 10:
y = 1.98(10) + 1.07
y = 19.8 + 1.07
y = 20.87.
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Average monthly expenditure (£)
600
500
400
300
200
100
Clip 15
Key:
2010
2020
I
Transport Utility Food Housing Leisure
bills Category
a) Which category shows a decrease
in the average monthly expenditure
between 2010 and 2020?
leisure
b) How much more was the average
monthly expenditure on Food in
2020 than in 2010?
c) The total average monthly
expenditure in 2010 was £1200.
What was it in 2020?
Help on question c
Answers
Answer:
the total average monthly expenditure in 2020 was £2400.
Step-by-step explanation:
c) To find the total average monthly expenditure in 2020, we need to add up all the individual expenditures in each category. From the given data, we have:
Average monthly expenditure in 2020 = 600 + 500 + 400 + 300 + 200 + 100 = £2400
So, the total average monthly expenditure in 2020 was £2400.
simplify pls do fast
Answers
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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HELP URGENT WILL GIVE
BRAINLIEST!!!
Elsa is putting money into a
savings account. She starts
with $550 in the savings
account, and each week she
adds $70.
Let S represent the total
amount of money in the
savings account (in dollars),
and let W represent the
number of weeks Elsa has
been adding money. Write
an equation relating S to W
Then use this equation to
find the total amount of
money in the savings
account after 11 weeks.
Equation:__
Total amount of money after
11 weeks:
$__
Answers
Answer:
S x W + 550 = answer
Step-by-step explanation:
eh u dont need to know, yw
Answer:
Step-by-step explanation:
S= total amount in savings acc.
W= # of weeks
You have 550 in your acc and your adding 70 every week?
S= 550+70w
Then for 11 weeks: Equation- S=550+70*11
70*11=770
S= 550+770 - S= 1320
Total after 11 weeks is 1320
Angle e measures 126∘. What is the measure of ∠h?
Group of answer choices
108∘
36∘
54∘
126
Answers
The reason for this is that they are a pair of vertical angles and so both of the angles will be the same.
As it's a circle and circles add up to 360 degrees, the other 2 angles would be 59 degrees each as 360-252 = 108 and 108/2 = 59 degrees. They are also vertical.
What is a coterminal angle of pi/4?
9pi/4 pi/2 3pi/4
Answers
The angle 9pi/4 is a positive coterminal angle of pi/4.
What is a coterminal angle?
Two angles are called coterminal if they have the same initial and terminal sides. In other words, two angles are coterminal if they differ by a multiple of 360 degrees or 2π radians. For example, 30 degrees and 390 degrees are coterminal angles, as are π/4 and 9π/4.
A coterminal angle of pi/4 can be found by adding or subtracting any multiple of 2pi until we get an angle between 0 and 2pi that is equivalent to pi/4.
One way to find a positive coterminal angle is to add 2pi:
pi/4 + 2pi = 9pi/4
So, The angle 9pi/4 is a positive coterminal angle of pi/4.
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A cereal manufacturer tests a sample of 50 boxes of cereal to see if the average weight per box is 14 ounces. Which of these would be a valid null or alternative hypothesis for the given scenario?
a. Io : µ = 14
b. Io : µ = 15
c. Io : µ = 16
d. Io : µ = 17
Answers
The valid null or alternative hypothesis for the given scenario is Io : µ = 14 (option a).
In this scenario, a cereal manufacturer is testing a sample of 50 boxes of cereal to see if the average weight per box is 14 ounces. The null hypothesis (Io) is a statement that assumes there is no significant difference between the observed sample mean and the hypothesized population mean.
Out of the given options, the valid null hypothesis would be option a. Io : µ = 14. This hypothesis assumes that the mean weight per box of cereal in the population is 14 ounces, which is the hypothesized value.
The alternative hypothesis, in this case, would be Ha = µ ≠ 14, which assumes that the mean weight per box of cereal in the population is significantly different from the hypothesized value of 14 ounces.
So, the correct option is (a).
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i need help please!! its math !
Answers
Answer:
perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5
Step-by-step explanation:
perimeter = 2(length) + 2(width)
if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...
perimeter = 2(8x+3) + 2(5)
area = length • width
like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...
area = (8x+3) • 5
is this answer correct?
Answers
Answer: ya
Step-by-step explanation:
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answers
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
Perform the indicated operation & simplify. Express the answer as a complex number. ( 12 − 11 i ) 2
Answers
The answer is 24 - 22i
The answer we got is a complex number.
We are asked to find out the multiplication of a complex number and a real number.
The general form of a complex number is a + bi.
If we need to find the product of a complex number and a real number,
then, we need to multiply the real and imaginary parts by the real number and write down the answer.
The real number given is 2.
And the complex number given is 12 - 11i.
The real part of the complex number is 12.
And the imaginary part of the complex number is -11.
When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.
When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22
Therefore, the required complex number is 24 - 22i
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Simplify four over seven divided by five over eight.
Answers
On a coordinate plane, circle has its center at the point (3, −6). The point (−1, −2) is on circle .
Which of these statements are correct? Choose ALL that are correct.
Responses
The line = − 1 is tangent to circle at P
The line = − 1 is tangent to circle at P
The area of the circle is 32 square units
The area of the circle is 32 square units
The radius of the circle is 4√2
The radius of the circle is 4√2
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The point (4, −0.5) is on the circle.
The point (4, −0.5) is on the circle.
The equation of the circle is ( − 3)² + ( + 6)² = 32
Answers
We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct options.
Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.
Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.
This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct options.
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Please help!!
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 44%. What is the probability that it will rain on at most two of the seven days they are there? Round your answer to the nearest thousandth.
Answers
Answer: 0.336
Step-by-step explanation:
n=7
r=2,1,0
p=44%=0.44
q=1-0.44=0.56
7C2(0.44)^2(0.55)^5 +
7C1(0.44)^1(0.56)^6 +
7C0(0.44)^0(0.56)^7
Evaluate:
0.2239055109+
0.0949902167 +
0.0172709485
Sum: 0.33617= 0.336
The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds
b.) 0.25 seconds
c.) 0.5 seconds
d.) 1 second
Answers
Answer:
c. o.5seconds
Step-by-step explanation:
y=-16t^2 +4t+2
=-2(8t^2 -2t-1)
=-2(8t^2 -4t+2t-1)
as the object hits the ground y =0
0 =-2(4t+1)(2t-1)
(4t+1)(2t-1)=0
t=-1/4 meangless
t=1/2
=0.5seconds
The time at which the object hit the ground is 0.5 second.
The correct option is (C).
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16t² +4t+2
Now, the time at which the object hit the ground
y = 0
-16t² +4t+2 = 0
-2(8t² -2t-1) = 0
8t² -2t-1 = 0
8t² -4t + 2t -1 = 0
(4t+1)(2t-1) = 0
So, 4t+ 1= 0 or 2t- 1=0
t= -1/4 or t = 1/2.
Hence, the object will hit the ground at t= 0.5 second.
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how to evaluate 16/81 1/2
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of (16/81)^(1/2) is 4/9.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the given expression (16/81)^(1/2) can be calculated as shown below,
\((\dfrac{16}{81})^{\frac12}\\\\=\sqrt{\dfrac{16}{81}}\\\\= \dfrac49\)
Hence, the value of (16/81)^(1/2) is 4/9.
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Answer:
★The square root of 16/81 = 4/9.
A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
a) Write down the probability that one of these five numbers is 3
b) Work out the least possible sum of the five numbers
Answers
(a). The probability that one of these five numbers is 3 is \(\frac{5}{6}\).
(b). The least possible sum of the five numbers is 15
Probability:Probability is the ratio of number of favourable outcomes to the total number of outcomes.
When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.
The probability that one of these five numbers is 3 is computed as,
\(P(E)=\frac{5}{6}\)
The least possible sum of the five numbers, when the number 6 is hidden.
Least sum = 1 + 2 + 3 + 4 + 5 = 15
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In a lab experiment, 260 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 26 hours. How long would it be, to
the nearest tenth of an hour, until there are 350 bacteria present?
Answers
It will take about 8.7 hours until there are 350 bacteria present using exponential growth.
What is exponential growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
The formula is as follows:
P = \(initial (rate)^x\)
Given that 260 bacteria are placed in a petri dish.
initial value = 260
growth factor = 2
growth factor's associated time period = 26 hours
Exponential growth equation can be written as
\(n = 260(2^(t/26))\)
For n=350, we can put the value and take log on both sides.
\(350=260(2^{(t/26)} )\)
\(1.3 = 2^{t/26}\)
log 1.3 = (t/26) log(2)
26×log(1.3)/log(2) = t
t ≈ 8.7 hours
Therefore, it will take about 8.7 hours until there are 350 bacteria present.
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please help me asap
Answers
4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)
Answers
Answer:
Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.
For the larger box:
Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²
Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)
For the smaller box:
Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²
Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.
Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)
The difference in cost between the larger and smaller boxes is:
20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)
The percentage savings can be calculated as follows:
Percentage savings = (difference in cost / cost of larger box) * 100%
= (5.33718 / 20.55986) * 100%
= 25.98%
Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.
HELP NEED ANSWERS QIUCKLY! WILL GIVE BRAINLEST!
1. What is the difference between arithmetic and geometric?
2. Which formulas are used for each? Explain ratio and difference.
3. Given 4, 8, 16, 32 identify the next term and if its a ratio or difference
4. Explain the steps in using the sigma notation.
Answers
Answer:
Arithmetic => each new term differs from the previous term by a fixed amount
an = a1 + d (n − 1)
Geometric => each element after the first is obtained by multiplying the previous number by a constant factor
an = a1 (r)^(n − 1)
4,8,16,32 the difference is not fixed so it is a geometric so it is ratio
the ratio is 2 and n is 5 so 4*(2)^4 =4*16=64
To generate the terms of a series given in sigma notation, replace the index of summation with consecutive integers from the first value to the last value of the index.
if you also want the sum of them
arithmetic -> (n/2)(a1+an)
geometric -> (a1*(1-r^n))/(1-r) or
when the sequence is infinite you can use a1/(1-r)
Step-by-step explanation:
Arithmetic => 1,3,5,7,9,11,13,15....
Geometric => 1,2,4,8,16,32,64....
Candace is flipping a coin a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32 . How many times is she flipping the coin?
Answers
Answer:
Cadence is flipping her coin 32 times
Step-by-step explanation:
So the fraction is 1/32 which means 32 is the number of times the coin was flipped.
What formula do I use for this? How do I get the points to graph?
Answers
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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help meeeeeeeeeeeeeeeeeeee
Answers
Answer:
3,6
Step-by-step explanation:
Slope= -2/3
If you look at the points (3,3) you’ll see that the line meets with the point. If you move up 2 units and left 3 units, the line would meet (0,5). Which gives you your slope.
5 + 5 + 5 + 5 + 220+ 30004
Answers
Answer:
30244
Step-by-step explanation:
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answers
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
Which set of ordered pairs does not represent a function?
{(1,−8),(8,−2),(−7,−4),(−7,3)}
{(8, 3), (-2, -8), (-5, -8), (-6, -5)}
{(−2,4),(9,−8),(1,−4),(−1,−4)}
{(−8,−3),(−3,1),(6,−3),(4,0)}
Answers
The ordered pair that does not represents a function is as follows:
{(1,−8),(8,−2),(−7,−4),(−7,3)}
What is a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set (possibly the same set).
A function is defined with a domain (the set of input values that it takes) as well as a codomain or range (the set of possible values it can return).
A function has to return a value for each element of the domain.
Therefore, the ordered pair that does not represents a function is as follows:
{(1,−8),(8,−2),(−7,−4),(−7,3)}
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The highlighted ones
Answers
Answer:
7) 28 is 40% of 70
13) 200 seats
16) 45% = 54/120
18) ?
19) 20 papers
Most of these are on brainly so I tried to double-check but if I'm wrong I'm sorry :) okay I think I'm very wrong
I am a factor of 24 and 60 i am a even number I am divisible by 3 and 4 what number am I
Answers
Answer:
12
Step-by-step explanation:
12 is a factor of 24 by 2 and a factor of 60 by 5. 12 can be divided by 3 and = 4 and can also be divided by 4 and = 3.