Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
__
The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
__
The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
__
It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
Norris currently has an account balance of $3,703.05. He opened the account 25 years ago with a deposit of $1,725.95. If the interest compounds monthly, what is the interest rate on the account? (3 points)
Answer:
R = 3.057% per year
Step-by-step explanation:
This is a compound interest question
From the question, we have the following information
P = Principal = $1,725.95.
A = Amount after 25 years = $3,703.05
T = Time = 25 years
n = Compounding frequency = compounded monthly = 12
r = interest rate = ???
The formula to calculate the interest rate in a compound interest question =
r = n[(A/P)^1/nt - 1]
r = 12[($3,703.05/$1,725.95)^1/12× 25 - 1]
r = 3.057%
Therefore, the interest rate on the account is 3.057%
create a function f(x) such that f(3)=20
Answer:
[tex] f(x) = \frac{20}{3} x[/tex]
Step-by-step explanation:
[tex]f(x) = \frac{20}{3} x \: ... (required function) \\
Plug \: x = 3 \\ f(3) = \frac{20}{3} \times 3 \\ f(3) = 20[/tex]
In the blank next to the distribution shape, type YES if is most often appropriate to use the mean, or NO if it is not.
1.Bell-shaped
2.Bi-model
3.Skewed
4.Symmetric
5.Uniform
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Explanations:
A bell shaped curve is symmetric, meaning one half is a mirror copy of the other half. The mean, median and mode are both at the same value: at the center (which is where the peak is located). A bimodal curve is one where it has two peaks. This is because it has 2 modes. Both peaks are the same height. If one height was taller, then you'd only have 1 mode. The mean wouldn't be as useful because we'd lose information about the two different modes. The mean would be somewhere in between the two peaks, where not much data points reside. A skewed distribution is one where the tail is pulled from the main group/cluster. This pulls on the mean to be distorted from the center. If the tail is pulled to the right (right-skewed or positively skewed) then the mean is larger than it should be. If the tail is pulled to the left (left-skewed or negatively skewed) then the mean is smaller than it should be. It's better to use the median in this case. Example: home prices where large mansions are large outliers to make the mean larger than it should be, so the median home price is used instead.As discussed in part 1 above, the mean is useful here. A bell shaped curve is one type of symmetric curve, but there are infinitely many other kinds of symmetric curves possible. All that matters is that one side is reflected over the vertical center line to get the other half.A uniform distribution is symmetric. If the left and right endpoints are p and q, then the mean (p+q)/2 is the center and it is useful.which point could C be located?
Answer:
Step-by-step explanation:
(-2,-3)
two consecutive numbers that lie between the square root of 10
Answer:
3, 4
Step-by-step explanation:
9 < 10 < 16
=> sqrt(9) < sqrt(10)<sqrt(16)
=> 3 < sqrt(10) < 4
Seven added to the product of 10 and k is less than or equal to 47
Answer:
7 + 10 + k - 47
Step-by-step explanation:
Just a slight bit late
Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle X? Group of answer choices 60o 120o 150o 30o
===========================================================
Explanation:
Based on the diagram, angles L and X are the top most angles. They correspond to have angle L = angle X = 60 degrees
Though you shouldn't rely solely on a diagram because the figures may be oriented in a strange way. A better way is to look at the letter sequences of JKLMN and VWXYZ
Notice how L and X are the third letters of JKLMN and VWXYZ respectively. This means the letters pair up and are congruent angles (since the polygons are similar). So this is a non-visual way to see how angle L = angle X = 60.
Which whole number property was used?
23 + 2 = 2 + 23
Commutative Property of Addition
Associative Property of Addition
Identity Property
Answer:
Commutative Property of Addition
Step-by-step explanation:
Answer:
Commutative Property of Addition
Step-by-step explanation:
perfect squares are closed under multiplication true or false
Answer:
True
Step-by-step explanation:
Caleb is selecting cards from a set of 12 cards numbered 1-2-4-4-5-5-5-5-6-9-10-13.
What is the probability that Caleb selects a 5 on the first selection, returns the card to the deck, shuffles the card, and then draws a 5 on the second selection? Express your answer as a fraction in lowest terms.
1-2-4-4-5-5-5-5-6-9-10-13.
Step-by-step explanation:
it back ward
i need help with these two questions
Please, I really need help-
=====================================================
Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
-------------------
The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
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Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:
48
Step-by-step explanation:
THE ANSWER IS 48 SORRY I CAN SEE IT NOW SORRY
The electric company charges $0.06 per kilowatt hour of electricity used. Write a multiplication equation to find the number of kilowatt hours of electricity for which the Estevez family was charged if their electric bill was $45.84.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
x= the number of hours used
x=764 hours
to get the 764 you divide 45.85/0.06 because you want to isolate the variable.
Answer:
$0.06(x)=$45.84
Step-by-step explanation:
math is easy
Use the drop-down menus below to state the sequence of transformations that maps Figure A A onto Figure B B in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
nonrigid and segement lengths ar enot
Step-by-step explanation:
find square root of 56 using long division method
Answer:
7.48331 or 7.5 if you round it
Step-by-step explanation:
Diego and Amit were trying to solve the equation: x^2-8x=1x 2 −8x=1x, squared, minus, 8, x, equals, 1 Diego said, "I can solve by completing the square. If I add 161616 to each side, I can rewrite the equation as (x-4)^2=17(x−4) 2 =17left parenthesis, x, minus, 4, right parenthesis, squared, equals, 17." Amit said, "I'll subtract 111 from each side and rewrite the equation as x^2-8x-1=0x 2 −8x−1=0x, squared, minus, 8, x, minus, 1, equals, 0. Then I'll use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=-1c=−1c, equals, minus, 1." Whose solution strategy would work? Choose 1 answer: Choose 1 answer: (Choice A) A Only Diego's (Choice B) B Only Amit's (Choice C) C Both (Choice D) D Neither
Answer:
Both.
Step-by-step explanation:
Answer:
both
Step-by-step explanation:
guy above me is right
Which of the following are correct ways to name Plane B? (Select all that apply)
Plane WYU
Plane WYU
Plane WYV
Plane WYV
Plane XYV
Plane XYV
Plane UWV
Plane UWV
Plane BWY
A rescue company determined that 90 out of 100 calls they received were true emergencies. Which describes the fraction of their calls that were true emergencies?
The length of a rectangle is 3 m greater than two times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
Answer:
60
Step-by-step explanation:
i think , hopes this help :)
quick question please help!
Answer: for this u neeed to find out the coefficient umbers
Step-by-step explanation:
Simplify each expression.
(a^2b^-3)^2
(a^-2b^2)
Answer:
[tex](a^2b^{-3})^2=(a^4b^{-6})=\frac{a^4}{b^6}[/tex]
[tex](a^{-2}b^2)=\frac{b^2}{a^2}[/tex]
Answer:
1st one is c, the second one is d
Step-by-step explanation:
A solid with a volume of 11cm is placed in a graduated cylinder with 50mL of water. The solid will displace how much water?
Answer: i think 4.54cm
Step-by-step explanation:
9x - 6xy + 9 + 9xy - 6
Answer:
3xy+9x+3
Step-by-step explanation:
Identify the hypothesis in the statement If it is monday, then the basketball team is playing
soud spheucal
balls each of diameter
are dropped into a cylindrice
bearen containin
up to heigne
and are sunny
somengue
diameeld of ene
bearen is 5.6in
wal
Answer:
i think
i think it is not complete please tell the complete the question
Step-by-step explanation:
Find the value of x
8x + 6
9x – 2
[tex]8x+6=9x-2[/tex]
[tex]x=8[/tex]
Hope this helps.
頑張って!
How do you write x² − 8x in vertex form?
Answer:
Step-by-step explanation:
y=(x-4)^2-16
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C, for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts?
Answer:
24,28-11 that the answer
Step-by-step explanation:
Total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
What is total cost?"Total cost is defined as the sum of all the expenses which is required to produce a product."
According to the question,
C=total cost,
h= hour of labor
p = additional charges for parts
Total cost given as
C= 45 +20h + p
h = 4hour
p = $109
Substitute the value in the total cost we get,
C = 45+20(4) +109
=$229
Hence, total cost C =$229 to tow and repair a car that requires 4hours of labor and $109 worth of parts.
Learn more about total cost here
https://brainly.com/question/14927680
$SPJ2
Best answer will get brainly
Answer:
6 bars on the histogram
2 of the bars represent 12+students with complete paintings
the actual fraction is 2 out of 6 I believe
Step-by-step explanation:
Generate the first 7 terms of the sequence defined by Q = 3n+ 5.
Answer:
8,11,14,17,20,23,26
Step-by-step explanation:
Q = 3n+ 5
an=3n+5
a1=3(1)+5=8
a2=3(2)+5=11
a(3)=3(3)+5=14
a4=3(4)+5=17
a5=3(5)+5=20
a6=23
a7=26