For this case we have the following system of equations:
We multiply the second equation by -3:
Thus, we observe that the second equation is equivalent to the first, if we add both we get:
The equality is fulfilled. The lines are on top of each other.
Answer:
Infinite solutions
y = 2x – 1
x + y = 2
Answer:
x = 1, y = 1
Step-by-step explanation:
plug y = 2x - 1 into the equation x + y = 2:
[tex]x + (2x - 1) = 2\\3x - 1 = 2\\3x = 3\\x = 1[/tex]
plug that into the equation y = 2x - 1
[tex]y = 2*1-1\\y=2-1\\y=1[/tex]
Cupid's arrow travels 45 meters in 5
seconds. What is the speed of the
flying arrow?
Answer:9
Step-by-step explanation:
45/5 =9
s=d/t
The speed of the flying arrow will be 9 meters/second.
What is the relation between speed and distance?Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance/time.
We are given that Cupid's arrow travels 45 meters in 5 seconds.
Therefore, distance = 45 meters
Time= 5 seconds.
Thus, speed = distance/time
Speed = 45/5
Speed =9
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56 + (- 56)
Please needed as possible
Answer:
0
Step-by-step explanation:
56-56=0
Answer:
0
Step-by-step explanation:
if you add than subtract in an equation like that, just ignore the addition and subtract.
How do I know if it is integers or real numbers?
Will give the brainliest to the first person
Answer:
A.) (INTEGERS)Step-by-step explanation:
I HOPE IT HELP:)
Which of the following is an example of a combination?
O A. Picking 3 books to take with you on vacation from a collection of
20 books
O B. Selecting a president, vice president, and treasurer
O C. The number of ways that 4 people can win 4 different prizes
O D. The number of ways that 7 books can be placed in a row on a
bookshelf
Answer:
a
Step-by-step explanation:
uh this is basic head knowledge for me i cant really explain
PLEASE HELP ME I WILL GIVE BRAINLIEST IV'E BEEN TRYING TO GET HELP
PLEASE HELP "A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale price. To the nearest dollar, how much less that the original price will Tom pay for the phone."
Answer:
20.01
Step-by-step explanation:
137.99x0.9=124.19
124.19x0.95=117.98
137.99-117.98=20.01
Answer:
132.9
Step-by-step explanation:
138 - 1/10 - 5
( Sorry if its wrong )
Looks very simple tho
any musical recommendations?
Answer:
Hamilton, Dear Evan Hansen, Grease and S H R E K
Step-by-step explanation:
The product of 4 , and a number increased by 7 , is -36.
Answer:
your awnser should be. 4(x + 7 ) = -36
help me pls i’m gonna fail the class>3
3,6,12,24,_,_
What’s the number pattern
Answer:
48 and 96...,.................
Answer:
3,6,12,24,48,96
Step-by-step explanation:
multiply by 2.
Find f (-12) if f (x) = -12x + 100
f(-12) = -12(-12) + 100 = 144 + 100 = 244
Answer:
244
Step-by-step explanation:
Substitute -12 as x.
f (-12) = -12(-12) + 100
f (-12) = 144 + 100
f (-12) = 244
I hope this helped! :)
About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks.
The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.
How many mold spores are in the garden today?
A.
1,593
B.
354
C.
387,099
D.
531
Answer:
D. 531
Step-by-step explanation:
write the linear equation below in the function notation
y=2x-5
Answer:
f ( x ) = 2 x + 5
Step-by-step explanation:
Function notation is a system of representing functions.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
y = 3x − 14
C.
y = 3x − 4
D.
y = 3x + 12
Answer:
A
Step-by-step explanation:
Answer:
A. y=3x+4
Step-by-step explanation:
(y+5)=3(x+3)
y+5=3x+9
y=3x+9-5
y=3x+4
c is directly proportional to d such that
C = 1.5d
(a) Find c when d = 12
(b) Find d when c = 15
Answer:
we have
C = 1.5d
or
d=C/1.5
Step-by-step explanation:
when d is 12
C=1.5×12=18
when c=15
d=15/1.5=10
In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =
Answer:
∠p= 15° , ∠q = 108° , ∠r = 57° Is the Answer
Step-by-step explanation:
, (x -12)° + (5x-27)° + (2x + 3)° = 180°
or, 8x° -36° = 180°
Or x =
So, x = 27°
∴ ∠P = 27° -12° = 15°
∠q = (5 × 27)° -27° = 108°
∠r = (2 × 27)° + 3° = 57°
Ayúdenme porfis, es para ahorita
Answer:
encuentra el área de siguiente modelo geométrico
Step-by-step explanation:
es la A porque da un total de X² + 21x+121
Pls help me, this is past due and every day it’s pasted due I get points deducted:( (I have an F in math)
Answer:
Part A: 3 3/4 Part B: 5 1/4
Step-by-step explanation:
Part A: 3/4x5=3 3/4
Part B: 3 3/4 +1 2/4=5 1/4
Find the surface area.
13.5 in
9 In
9 in.
10 in.
the surface area of the body is approximately 739.72 square inches. first find the area of the two triangles (base and top) using Heron's formula
what is surface area ?
Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object, including the top, bottom, and sides. Surface area is usually measured in square units, such as square inches or square meters.
In the given question,
Let's first find the area of the two triangles (base and top) using Heron's formula:
For the base triangle with side lengths 9, 10, and 13.5:
s = (9 + 10 + 13.5)/2 = 16.25
Area = √(s(s-9)(s-10)(s-13.5)) = 35.44 square inches
For the top triangle, the side lengths are the same, so the area is also 35.44 square inches.
Now, let's find the area of the four sides. We can divide the body into two trapezoids and two triangles. The trapezoids have heights of 9 inches and bases of 9 and 10 inches. The triangles have a base of 13.5 inches and a height of the slant height of the trapezoid, which we can find using the Pythagorean theorem:
h = √(13.5² - (10-9)²) = √(146.25) = 12.1 inches
So, the area of each trapezoid is:
(9/2)*(9+10)*√(146.25 - 9.5²) = 252.28 square inches
And the area of each triangle is:
(1/2)13.512.1 = 81.94 square inches
Finally, the total surface area is the sum of all these areas:
35.44 + 35.44 + 252.28 + 252.28 + 81.94 + 81.94 = 739.72 square inches
Therefore, the surface area of the body is approximately 739.72 square inches.
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Write two equivalent expressions for 15(3 + w).
1.
2.
1. 45+15w
2. 3(15+5w)
Please mark brainliest
y=−2x+4 missing value ( - , -2)
30 points
Answer: Y=4
Step-by-step explanation:
Answer:
The missing value is 3.
Step-by-step explanation:
I plugged in -2 as y.
-2 = -2x+4
-2 -4 = -2x -4
-6 = -2x
-6/-2 = -2x/-2
3 = x
So the point is (3, -2)
A local restaurant charges $12 for a ham dinner and $15 for a turkey dinner. If they earned $1, 017 for their thanksgiving dinner night and they sold 35 turkey dinners, how many ham dinners did they sell?
Answer:
Step-by-step explanation:
66
PLEASE HELP
Simplify
(8x + 3)(2^2+ 8x +9)
Answer:
64x²+128x+39
Step-by-step explanation:
(8
Answer:
First distribute (8x + 3) into (2^2+ 8x +9)
16x^3 + 64x^2 + 72x + 6x^2 + 24x +27
Then we'll order the pairs from highest to lowest degree
16x^3 + 64x^2 + 6x^2 + 72x + 24x + 27
Then we'll add up the like terms
16x^3 + 70x^2 + 96x + 27
That should be your final answer simplified.
Consider the table shown above. What is the value of f(g(3)) ?
Answer: D-8
Step-by-step explanation:
6+2
The value of f(5), according to the provided table, is 5.
Evaluation of Functions:Evaluating a function means finding the value of an input inserted in a certain function. The input is the domain of the function, and the result is the range of the function. The domain is represented by the x-axis and the range is represented by the y-axis when a function is graphed.
The function f(g(x)) is called a composite function because it is made of two functions. For composite functions, the final value is obtained by performing two steps. The first step is finding the value of the function on the inside. Then, the value of the inside function is used, and the outer function is calculated for that value. So we first have to find the value of g(3), meaning that x is equal to 3.
According to the provided table for the values of x and g(x), when the value of x is 3, the value of g(x) is 6. This is the first step. The subsequent step is finding the value of the f(x) function. The x of this function is the value of g(x), which is 6. The value of f(5), according to the provided table, is 5.
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Which of these is the best definition of an ellipse?
A. The set of all points in a plane for which the sum of the distances
to two fixed points equals a certain constant
B. The set of all points in a plane for which the difference between
the distances to two fixed points equals a certain constant
C. The set of all points in a plane that are equidistant from a single
point and a line
D. The set of all points in a plane that are a certain distance from a
single point
Letter A just did it
A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [
Answer:
y = 4x+3
Step-by-step explanation:
The equation in point slope form is expressed as y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
If a line is parallel to y = 4x + 1, the slope of the line m = 4
Substitute m = 4 and the point (-2, -5) into the equation above;
y - (-5) = 4(x - (-2))
y+5 = 4(x+2)
y+5 = 4x+8
y = 4x+8-5
y = 4x + 3
Hence the equation of the line is y = 4x+3
The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.
Answer:
The number must be greater than 6.7. Thus, the sum will be negative.
For example, the number could be 7.
6.7 - 7 = -0.3
The number can be in the range - x ∈ (- ∞ , - 6.7)
We have - the sum of 6.7 and a number is negative.
We have to determine the possible value of that number.
For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10For f(x) to be negative -
f(x) < 0
2x + 10 < 0
2x < - 10
x < - 5
x ∈ (- ∞ , - 5)
According to the question, we have - the sum of 6.7 and a number is negative.
Now -
6.7 + x < 0
x < 6.7
x ∈ (- ∞ , - 6.7)
Hence, the number can be in the range - x ∈ (- ∞ , - 6.7).
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Y= -8x + 10/9 what is the y intercept
Answer:
10/9
Step-by-step explanation:
This equation is in slope-intercept form, this is referring to the y-intercept. Slope-intercept is y=mx+b, where m is the slope and b is the y-intercept. Therefore, 10/9 is the intercept while -8 is the slope.
Molly has two less than three times as much money as Ben. If Molly has $40.96, how much money does Ben have
Answer:
$61.44
Step-by-step explanation:
Molly. Ben
2x. 3x
40,96÷2x
=20.48
Ben's money
3(20.48
=$61.44
What is 100343242 times 7863239792
Answer: 7.8902297e+17
Step-by-step explanation:
Answer:
7.8902297e+17
Step-by-step explanation:
What is 100343242 x 7863239792= 7.8902297e+17
(hope this helps can i plz have brainlist :D hehe)
