Equations must be written in the following format (using the number 20 as an example): Addition x + 20 = y; Subtraction x - 20 = y; Multiplication 20x=y; Division x/20=y
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Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
Related Questions
Evaluate the expression when x=2.3, y= -1.6, and z= -4.
x-y+z
Answers
Answer:
-.01
Step-by-step explanation:
X - Y + Z
2.3 - (-1.6) + (-4)
2.3 + 1.6 - 4
-0.1
I hope this is helpful!!!!!!! :)
Answer:
-0.1
Hope this helped :)
4. All of the following payroll taxes are expenses incurred by an employer except:
a. Social Security taxes.
c. federal unemployment taxes.
b. federal income taxes.
d. state unemployment taxes.
Answers
When multiplying or dividing a negative by a negative what will the result be
Answers
Answer:
A positive number
Step-by-step explanation:
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
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A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle
Answers
Answer:
base = 6.4m
height = 5m
Step-by-step explanation:
Given area = 16m^2
3/4 -1/2 = 1/4 into something x 0.25 its size then add
We see that 2.5 is 10 multiplied. not relevant unless doing algebra
We also see that 0.5 is 0.25 x 2 not relevant unless doing algebra
We start with 5
16/5 = 3.2
if 5 is the height then 3.2 x 2 must be the base.
As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base. and 5m height stays as it is.
If we did algebra
Then 1/2 = 0.5 = 4.5
3/4 = 0.75 = 3.75
and we would have to plug in 1 as x
3 as x to find one value as 5.5 (-1) = 4.5
We find 3.75 as 5 (-1 )- 1/4 = 3.75
3.75 x 4.5 = 16.875m^2
and is closest fit using 1/4, 1/2 and -1.
But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.
what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answers
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
a diamiter of a sphere is
Answers
Answer:
radius times 2
Step-by-step explanation:
Answer:
a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Step-by-step explanation:
I don't really think this needs more of an explanation.
what is 50300000 in standard form
Answers
Answer:
the answer is attached in the picture
math question screen shot down below
Answers
Answer:
6
Step-by-step explanation:
If you plug 3 into x for the equation, you are left with:
y=-3(3)+15
Expanding the parentheses:
y=-9+15
Combining like terms:
y=6 miles remaining
Hope this helps!
6. Y is 6. He has 6 more miles left to go.
-3*3+15=6
In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.
Answers
Answer:
In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
10:09 + 08:45 + 0946 + 09:55 =
Answers
Answer:
27 : 1000 : 55
Step 1:
Add the expresisons.
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?
Answers
Answer:
Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis
Step-by-step explanation:
The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).
Before reflection, the translation of MNO is given as 4 units down and 3 units left.
Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
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The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are
Answers
Answer:
-10,1,19
Step-by-step explanation:
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
-2 5 7
Step-by-step explanation:
Add and simplify.
X+2x/x+1
Answers
Answer:
x+3
Step-by-step explanation:
x+2x1+1
x+2+1
x+3
Answer:
x+3
Step-by-step explanation:
x+ 2x /x+1
= x2+3x /x
=x+3
What do you add to 2 2/9 to make 4
Answers
Answer:
I believe 1 7/9 will give you 4
Find the value of x needed to make the equation true
Answers
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answers
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
if csc theta = -2.06, find sec(theta-pi/2)
Find the exact value
sin pi/ 18cos pi/9 + cos pi/18sin pi/ 9
Please help me soon, i dont need an explanation but it would be very helpful or if you know a website that can help me i will be very appreciative!
Answers
Answer:
a) sec (θ -π/2) = co secθ
b) [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )=\frac{1}{2}[/tex]
Step-by-step explanation:
a)
Given co sec θ = -2.06
sec (θ -π/2) = sec(π/2 -θ) = co secθ
b)
we will use formula
sin A cos B + Cos A sin B = sin(A+B)
Given [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )[/tex]
= [tex]Sin(\frac{\pi }{18} +\frac{\pi }{9} )[/tex]
= [tex]sin(\frac{\pi+2\pi }{18} ) = sin(\frac{3\pi }{18})[/tex]
= [tex]sin(\frac{\pi }{6})[/tex]
= [tex]\frac{1}{2}[/tex]
I NEED HELP!
Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.
Answers
HELP QUICK!! 25 POINTS AND BRAINLIEST!!! Circle P has a circumference of approximately 65 inches.
What is the approximate length of the radius, r? Use 3.14 for π. Round to the nearest tenths.
A. 15.4
B. 10.4
C. 35
D. 32.5
Answers
Answer:
10.35
Step-by-step explanation:
c=2[tex]\pi[/tex]r
65=2(3.14)?
Answer:
B. 10.4
Step-by-step explanation:
The formula for the circumference is: 2πr
2πr≈65
Divide both sides by 2
πr=32.5
Divide both sides by π
r≈10.34
The answer that makes most sense is B. 10.4
Please help me! I will mark brainliest!
Answers
Answer:
the first answer=49t^8
Step-by-step explanation:
multiply 7 and 7 together, and add 4 and 4 together, that's how you'll get your answer
The floor of a rectangular shelf has a length 5 feet greater than its width. James will increase both dimensions of the shelf by 3 feet. As an expression, how much more is the new area compared to the original area of the floor of the shelf?
Answers
Answer:
area of shelf=x*x+5=x²+5x
new area=x+3*x+8=x²+11x+24
the new area is 6x+24 more than original
Step-by-step explanation:
hope this helps
Can someone please help me with this.
Answers
Answer:
Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!
Step-by-step explanation:
Mark at brainliest if this helps please
Answer:
Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!
Step-by-step explanation:
Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answers
Answer:
1x+ 1y =11
10x + 5y = 80
x = the cost of a taco = $5
y = the cost of a burrito = $6
Step-by-step explanation:
x = the cost of a taco
y = the cost of a burrito
1x+ 1y =11
10x + 5y = 80
rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:
10x + 5( 11-x) = 80 distribute left side
10x + 55 - 5x = 80 combine like terms
10x - 5x = 5x
5x + 55 = 80 subtract 55 from both sides
5x = 80 - 55
5x = 25 divide by 5
x = 5
plug in for y in 1st equation y = 11--x =11-5 = 6
4) If z/3 = 6, what is z equal to?
Answers
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
(6x3)2 = 62(x3)2 = 36x6
True or false
Answers
Answer:
false
Step-by-step explanation:
Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answers
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't have flue shot.
Answers
Answer:
0.0025 = 0.25%
Step-by-step explanation:
First we need to find how many people don't have flue shots.
28% of 50 is equal to 0.28 * 50 = 14 people.
If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.
Now, to solve this problem, the probability will be the cases where we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):
C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%
The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height
Answers
The length, width, and height of three-dimensional figures can be measured.
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
Let the length of the cuboid be = L
Let the width of the cuboid be = W
Let the height of the cuboid be = H
Now , length, width, and height of three-dimensional figures can be measured.
Therefore, the correct options are D. length, E. height, and B. width.
Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.
Hence , the cuboid is a three-dimensional figure
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