Answer:
The rectangular form is:
[tex]y = \frac{2*x^2 + 32*x + 278}{25}[/tex]
Step-by-step explanation:
In order to write the rectangular form we need to find the value of "t" in relation to "x", which means isolating the "t" variable on the left side of the second equation, following that we will use that value of "t" on the first one as shown below:
[tex]x = 5*t - 8\\5*t = x + 8\\t = \frac{x + 8}{5}[/tex]
Applying on the first equation:
[tex]y = 2*t^2 + 6\\y = 2*(\frac{x + 8}{5})^2 + 6\\\\y = 2*\frac{x^2 + 16*x + 64}{25} + 6\\\\y = \frac{2*x^2 + 32*x + 128}{25} + 6\\\\y = \frac{2*x^2 + 32*x + 128 + 150}{25}\\\\y = \frac{2*x^2 + 32*x + 278}{25}[/tex]
Checking
Quick
Check
Use additive inverses and their properties to find the equivalent expressions.
Answer:
Equivalent expression:
a) -9
b) 3
c) 9
d) -3
Step-by-step explanation:
The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0
An Additive inverse of a positive integer is a negative integer and vice versa.
For example:
5 -5 = 0
The additive inverse of 5 = -5
For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.
a) 6 -(-3)
Additive inverse = - 6 + (-3)
= -6 - 3 = - 9
b) -6 -3
Additive inverse = 6 +(-3)
= 6 - 3 = 3
c) 6 - 3
Additive inverse = 6 + 3
= 9
d) -6 - (-3)
Additive inverse = -6 + 3
= -3
Answer:
6 - (- 3) arrow goes to 6 + 3
6 - 3 arrow goes to 6 + (- 3)
- 6 - (- 3) arrow goes to -6 + 3
- 6 - 3 arrow goes to - 6 + (- 3)
What is the second step when evaluating the expression 18 = (24 - 18) + 3-1?
18 = 6
O 24 - 18
-18 + 3
3-1
Answer:
8/16
Step-by-step explanation:
Which expression is equivalent to 10√5
Answer: square root of 500
Step-by-step explanation:
10 squared is 100
100 * the square root of 5 = the square root of 500.
1/2 divided by 2/3 = 1/2 times ?/2 = 3/?
Answer:
3, 4
Step-by-step explanation:
do KFC or KCF doesn't matter you get the same answer
1/2 times 3/2 is 3/4
if you want to make sure it is correct multiply 3/4 by 2/3 and it gives you 1/2
Answer:
1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4
Step-by-step explanation:
Solve for x in the diagram below.
(2x + 30°
40°
40°
т
Answer:
x = 35°
Step-by-step explanation:
assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °
i.e.
40 + (2x+30) + 40 = 180
40 + 2x+30 + 40 = 180
110 + 2x = 180 (subtract 110 from both sides)
2x = 180 - 110
2x = 70
x = 35
Answer:
x=35
Step-by-step explanation:
The 3 angles are on a straight line. A straight line is equal to 180 degrees. Therefore, the 3 angles are supplementary and add to 180 degrees.
40+2x+30+40=180
Combine like terms. Add all the terms on the left side without a variable.
2x+(40+30+40)=180
2x+110=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
110 is being added to 2x. The opposite of addition is subtraction. Subtract 110 from both sides.
2x+110=180-110
2x=180-110
2x=70
x is being multiplied by 2. The opposite of multiplication is division. Divide both sides by 2.
2x/2=70/2
x=70/2
x=35
0.2(d − 6) = 0.3d + 5 − 3 + 0.1d. Help needed
[tex]\text{Solve for d}\\\\0.2(d − 6) = 0.3d + 5 − 3 + 0.1d\\\\\text{Combine like terms:}\\\\0.2(d - 6) = 0.4d + 2\\\\\text{Use the distributive property:}\\\\0.2(d - 6) = 0.4d + 2\\\\0.2d-1.2=0.4d+2\\\\\text{Subtract 0.4d from both sides}\\\\-0.2d-1.2=2\\\\\text{Add 1.2 to both sides}\\\\-0.2d=3.2\\\\\text{Divide both sides by -0.2}\\\\\boxed{d=-16}[/tex]
please help me, i don't get this
Answer:
A
Step-by-step explanation:
The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.
What is the y-intercept of this quadratic function?
fin = -x^2 + 10x- 22
Answer:
- 22
Step-by-step explanation:
To find the y- intercept let x = 0 , that is
y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept
plz answer im desperate thank you!
Hey!!
(56-24)/8
=32/8
=4
The right answer is 4.
hope it helps
Good luck on your assignment
find the loss percentage if cp is 400 rs and sp is 380rs
Solution,
Cost price(CP)=Rs 400
Selling price (SP)=RS 380
loss percentage=?
Now,
Loss percentage=CP-SP/CP*100%
=400-380/400*100%
=20/400*100%
=5%
Hope it helps..
Good luck on your assignment
Use the values in the table to verify the relationship
between the functions representing the investments.
Which conclusion can be made?
O The functions are inverses because the domain of Table
A is the same as the range of Table B.
The functions are inverses because the range of Table A
is different from the domain of Table B.
the functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (x, y) for the other function.
O The functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (y, x) for the other function.
Answer:
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
Step-by-step explanation:
In the figure attached, the tables are shown.
For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.
Answer:
The answer is D
Step-by-step explanation:
Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} V = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A C.
The perimeter of the rectangle below is 202 units. Find the value of .
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+g)(x).
O A. 3x-1
O B. 4x-3
O c. 7x-1
O D. 7x-3
SHUB
Help plzzz
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 5x - 2 + 2x + 1 ← collect like terms
= 7x - 1 → C
Answer:
it is C.
Step-by-step explanation:
Trapezoid DEFG is dilated according to the rule
DO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph.
On a coordinate plane, trapezoid D prime E prime F prime G prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4).
What are the coordinates of point G of the pre-image?
Answer: A. (-2,1)
Step-by-step explanation:
Just took the test! Hope this helps!
Answer:
It's A
Step-by-step explanation:
On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime. Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'. (x, y) Right-arrow (x – 4, y – 2) (x, y) Right-arrow (x + 4, y – 2) (x, y) Right-arrow (x – 4, y + 2) (x, y) Right-arrow (x + 4, y + 2)
Answer:
(x, y) ⟶ (x + 4, y + 2)
Step-by-step explanation:
If you shift a point four units to the right, x ⟶ x + 4.
If you shift it up two units, y ⟶ y + 2.
If you combine the two shifts into one transformation, the rule becomes
(x, y) ⟶ (x + 4, y + 2)
Answer: the correct answer is (D.) or (x, y) Right-arrow (x + 4, y + 2)
Step-by-step explanation:
A line passes through (-5, -3) and is parallel to -3x - 7y= 10. The equation of the line in slope-intercept form is
Y=-3/7x-36/7
Y=-3/7x-6/7
Y=-7/3x-36/7
Y=-7/3x-6/7
Answer:
A.
Step-by-step explanation:
-3x-7y = 10
In slope - intercept form
y = -3/7x - 10/7
Since the lines are parallel so the slopes will be equal
m = -3/7
Now
Point = (x,y) = (-5,-3)
So, x = -5, y = -3
Putting in slope intercept form to find b
y = mx+b
-3 = (-3/7)(-5) + b
-3 = 15/7 + b
7b = -21-15
7b = -36
b = -36/7
Now the slope intercept form for the line is
y = -3/7x-36/7
What is the volume of the cone to the nearest tenth? A) 401.2 yd3 B) 421.4 yd3 C) 484.3 yd3 D) 536.2 yd3
Answer:
Option (D). 536.2 yd³
Step-by-step explanation:
Radius of the circular base of the cone = 8 yd
Height of the given cone = 8 yd
Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base of the cone
h = height of the cone
By substituting the values of r and h in the formula,
V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]
= [tex]\frac{1}{3}(512\pi )[/tex]
= 526.165
≈ 526.2 yd³
Therefore, volume of the given cone is 526.2 yd³.
Option (D) will be the answer.
Answer:
D
Step-by-step explanation:
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
Answer:
three functions are
f(x) = 3(x + 4)^2 + 1
g(x) = 2x^2 - 16x + 15
h(x) = a(x - 1) - 3
Axis of symmetry for f(x) is x=-4 For g(x)
by taking the derivative
g'(x) = 4x - 16
= 4(x - 4)
The Axis of symmetry for g(x) is x=4
The Axis of symmetry for h(x) is x=1
hope it helps
somebody please help me
Answer:
382.5 square inches
Step-by-step explanation:
The surface area of a 3D object is the sum of the area of all of the surfaces. Therefore, the surface area of this prism is:
[tex]9\cdot 13.5 + 2(\dfrac{1}{2} \cdot 10\cdot 9)+ 9\cdot 9 + 10\cdot 9= 382.5[/tex] square inches.
Hope this helps!
Find the value of x.
Answer:
root 30
Step-by-step explanation:
10/x=x/3
x^2=30
x= root 30
Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?
- The slope of segment EF is the same as the slope of segment E prime H prime.
- segment E prime G prime will overlap segment EG.
- segment GF and segment G prime F prime both pass through the center of dilation.
- segment EF ≅ segment E prime F prime.
Answer:
- segment GF and segment G prime F prime both pass through the center of dilation.
Step-by-step explanation:
The center of dilation (1, 1) is the same point that vertex F, then, both F and F' are located at (1, 1).
G is located at (-2, 1). After the dilation by a scale factor of one half, G' is located at (-0.5, 1), so that the distance between G' and F' is half the distance between G and F. Therefore, segment GF and segment G'F' both pass through the center of dilation.
Answer:
segment GF and segment G prime F prime both pass through the center of dilation.
Step-by-step explanation:
hi can anybody help me please i will mark them as a brainlest
Answer:
area 4.5
Step-by-step explanation:
C has the largest Area. It's area is 4.5
hope this helps
Answer:
C has the largest area.
Step-by-step explanation:
3x3=9, 9/2=4.5
There are five more blue blocks than green blocks. Three times the number of green blocks, increased by double the number of blue, equals 95. How many of each colour are there?
Answer:
22 blue blocks
17 green blocks
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
There are five more blue blocks than green blocks.
So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.
b = g+5Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.
3g+2b =95The system is
b = g+5
3g+2b =95
Replacing b=g+5 in the second equation:
3g + 2 (g+5)=95
Solving for g:
3g +2g+10 =95
5g = 95-10
5g=85
g= 85/5
g= 17
Replacing g=17 in the first equation:
b = g+5
b = 17 +5
b=22
Find the midpoint of the line segment.
Answer:
(9,-5)
Step-by-step explanation:
Find the middle of each of the x and y coordinates. Then put that together.
Answer:
The correct answer is
(9, -5)
Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.
Hope I could help
- Quinn :)
What is the opposite of the number -2.5? How does the position of -2.5 compare to its opposite on the number line?
Answer:
-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.
Step-by-step explanation:
0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.
Homework Help please!
Answer:
7x4
28
Step-by-step explanation:
Answer:
The correct answer is D. 28 miles
Step-by-step explanation:
Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.
Hope it helps you !!!!f(x) = x + 2 g(x) = x – 4
(f g)(x) =
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8
Answer:
x² - 2x - 8
Step-by-step explanation:
The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.
(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8
Give me brainliest please
Answer:
x² - 2x - 8
Step-by-step explanation:
multiply (x+2)(x-4) to get x² - 2x - 8
Write each statement as an algebraic expression. The quotient of the number that is 1 greater than a number b and the number that is twice as large as b. RMS NEED BY 3:58 today 6/20/2020
Answer:
Quotient = (1 + b)/2b
Step-by-step explanation:
The term quotient implies the result after dividing a number or expression by another number or expression.
In other words,
Quotient = Dividend/Divisor
From the question, we understand that
Dividend = Number that is 1 greater than a number b
So,
Dividend = 1 + b
And
Divisor = Number that is twice as large as b...
So, Divisor = 2 * b
Divisor = 2b
Recall that:
Quotient = Dividend / Divisor
Quotient = (1 + b)/2b
Question 4
A book sold 31,300 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?
Answer:
313131 total books
Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.
We could also convert this percent to a decimal by moving it two places to the left (0.99).
Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.
The average low temperature for a town during the month of May is 53 degrees Fahrenheit. For the past 8 years, the low temperature has been not more than 11 degrees above or below that average during the month of May. Write an inequality to represent this situation. Sketch the inequality on a number line.
Answer:
8
Step-by-step exp8lanation: