Answer: (1, 2)
Concept:
There are three general ways to solve systems of equations:
EliminationSubstitutionGraphingSince the question has specific requirements, we are going to use elimination
Solve:
Given expressions
x + 5y = 11
-x + 4y = 7
Add both equations together to elimination [x] variable
(x + 5y) + (-x + 4y) = 11 + 7
x - x + 5y + 4y = 18
9y = 18
Divide 9 on both sides
9y / 9 = 18 / 9
[tex]\boxed{y=2}[/tex]
Find the x value
x + 5y = 11 ⇔ Given equation
x + 5(2) = 11 ⇔ Substitute values of y
x + 10 = 11 ⇔ Simplify by multiplication
x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides
[tex]\boxed{x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.
Step-by-step explanation:
x + 5y = 11
-x + 4y = 7
---------------- "Add" the equations above to get the equation below.
9y = 18
Now you can divide both sides by 9 to see that y is equal to 2.
Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.
x + 5(2)= 11
x + 10 = 11
x = 1
Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game
Answer:
He will pay $10
Step-by-step explanation:
35-25=10
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
f(x) = -x +11
g(x) = 3x^2– x+ 14
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Answer:
(g·f)(9) = 496
Step-by-step explanation:
One way to do this is to find the values of g(9) and f(9).
g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248
f(9) = -(9) +11 = 2
Then ...
(g·f)(9) = g(9)·f(9) = 248·2
(g·f)(9) = 496
Write 52,640 in scientific notation. Please
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
5.264×10^4
Step-by-step explanation:
10^4 = 10,000 x 5.264 = 52,640
what is the diagnosis of a rectangular room which measures 16 feet by 7 feet
1Determine the vertex of the quadratic function f(x) = (x - 3)^2 +7.
Please give detailed steps!! thank you
Answer:
vertex = (- 3, 7 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 3)² + 7 ← is in vertex form
with vertex = (3, 7 )
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
4/x-7=7/x+6
What is x
Answer:
21
Step-by-step explanation:
[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]
solve missing values for triangles
Answer:
32±b±90=180(being the three angle of a treangle)
32±90±b=180
122±b=180
B=180-122
b=58 answer
90±23±d=180(being three angle of the trangle)
113±d=180
d=180-113
d=78 answer
Answer
:.b=58
:.d=78
Thank you
Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?
a structure The table shows the distance below ground of items found at an archaeological site Researchers also found a mouse fossil at the same site. Which, if any, of the items in the table were a greater distance below ground than the mouse fossil shown? 1 Item Distance below ground (feet) Spoon key cup 42 62 bowl for Problems 14-17, find the LCM of the number pair
Spoon ;
[tex]5 \frac{3}{8} = \frac{43}{8} = 5.375[/tex]
Key ;
[tex]6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]
Cup ;
[tex]4 \frac{3}{12} = \frac{17}{4} = 4.25[/tex]
bowl;
[tex]5 \frac{5}{6} = \frac{35}{6} = 5.83[/tex]
The distance from the smallest to the largest ; 4.25 , 5.375 , 5.83 , 6.75 So the greater distance —> Key = 6.75[tex]key = 6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]
I hope I helped you^_^
Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?
Answer: $133.20
Step-by-step explanation:
2n-3/5=5
Solve for n
Okay this is the answer I hope this help
Solve for t and show your work in details please
Answer:
0t=8
Step-by-step explanation:
3t+4=12+3t
3t-3t=12-4
0t=8
Welp plss this i do 360/30??
Answer:
12 sides
Step-by-step explanation:
its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.
180n-360=150n30n=360n=360/30=12i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13
please give detailed steps/walkthrough!! thank you
Answer:
When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.
In this question... We needed the y - Intercept
Know This: At the intercept of a mentioned axis...The other axis is zero at that point.
In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa
So To find the y Intercept... the x value at this point is zero(0).
With this in Mind...
substitute x = 0 into the quadratic eqn
f(x) = 0² +8(0) - 13
f(x) = -13
This is Our Y Intercept .
To get the x intercept(if asked)
substitute y = 0 and solve
0 = x² + 8x - 13
This is a quadratic equation
Solving this would get you two value and those values would be your x intercept.
I hope it helps.
Have a great day.
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
(Help please)
If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?
( )quarts
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Answer:
1057 quarts
Step-by-step explanation:
"Kilo-" is an SI prefix meaning 1000. 1 kiloliter is 1000 liters, so will be ...
1000 liters = 1000 × 1.057 quarts = 1057 quarts
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
My answer is in the picture
15 cm
C
8 cm
Perimeter =
cm, Area =
square cm
Answer:
refer to workings
Step-by-step explanation:
Perimeter=15+15+8+8=46cm
Area=15×8=120cm²
Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef
Answer: De and Ef
Step-by-step explanation:
1466899876+245689999999&&
please mark this answer as brainlist
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
Answer this question please
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Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket
If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ?
Answer:
which class Of question is this
Graph the compound inequality on the number line.
x≤4 or x≥8
Answer:
x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right
Step-by-step explanation:
Not sure how to explain it.
Simplifying fractions Sheet 2
Simplifying fractions:
1) [tex]\frac{14}{20} =\frac{7}{10}[/tex] 2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]
3) [tex]\frac{9}{12} =\frac{3}{4}[/tex] 4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]
5) [tex]\frac{8}{18} =\frac{4}{9}[/tex] 6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]
7) [tex]\frac{12}{16} =\frac{3}{4}[/tex] 8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]
9) [tex]\frac{15}{35}=\frac{3}{7}[/tex] 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]
11) [tex]\frac{11}{55}=\frac{1}{5}[/tex] 12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]
13) [tex]\frac{16}{26} =\frac{8}{13}[/tex] 14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]
15) [tex]\frac{18}{24} =\frac{3}{4}[/tex] 16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]
17) [tex]\frac{4}{32} =\frac{1}{8}[/tex] 18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]
Hope this helps :)
The height of a certain mountain in California is 14,857 ft. The depth of a known trench in the Pacific Ocean is - 23,128 ft. What is the difference between the height
of the mountain and the depth of the trench?
Answer:
The difference between the height of the mountain and the depth of the trench is 8,271 ft.
Step-by-step explanation:
brainliest plz?