Answers
Explanation:
1).
a. f(1) = 2(1)^2 - 3(1) + 1
= 2 - 3 + 1
= 0
b. g(2) = 4(2) - 2
= 8 - 2
= 6
c. f(-3) = 2(-3)^2 - 3(-3) + 1
= 2(9) + 9 + 1
= 28
d. f(-4) = 2(-4)^2 - 3(-4) + 1
= 2(16) + 12 + 1
= 45
2).
When x = -8
y = -3/4x + 2
= -3/4(-8) + 2
= 6 + 2
= 8
When x = -4
y = -3/4(-4) + 2
= 3 + 2
= 5
When x = 0
y = -3/4(0) + 2
= 2
When x = 4
y = -3/4(4) + 2
= -3 + 2
= -1
Related Questions
In a three digit number, the tens digit is thrice the unit digit and hundred’s digit is
twice the unit digit. If the sum of all three digits is 12. Find the number.
Answers
x = 4, y = 6, z = 2
Explanation:
Let x, y and z represent the 3 digit.
Where:
x = 2z
y = 3z
z = z
And: x + y + z = 12
2z + 3z + z = 12
6z = 12
z = 2
If z = 2 then:
x = 2(2) = 4
y = 3(2) = 6
(5m-4)/6 -1 = 4m - (3m+10)/2
Solve linear equation
Answers
Step-by-step explanation:
figure 1,2 respectively..
-1.4 is your answer
hope it helps
write slope intercept form
Answers
Answer:
the slope of parallel lines is =m1=m2
Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes
Answers
Answer:
5---6
Step-by-step explanation:
Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.
Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.
It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.
That is,[tex]12x-10y=0[/tex].
When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].
It is not possible, since the number package cannot be in decimals.
When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].
This is not possible, since the number package cannot be in decimals.
Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.
a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)
b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million
Answers
A general linear equation is given by:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that the linear equation that represents the situation is
[tex]y = 0.033*x + 1.269[/tex]
And we can expect that the median salary in 2048 is $2.853 million
If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that:
in 2007 (x = 7) the median player salary was y = $1.5 million
in 2013 (x = 13) the median player salary was y = $1.7 million.
Then we have two points that we can write as:
(7, 1.5)
(13, 1.7)
Note that the y-value is in millions.
Then the slope of the linear equation will be:
[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]
So the linear equation is something like:
[tex]y = 0.033*x + b[/tex]
To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:
[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]
Then the linear equation is:
[tex]y = 0.033*x + 1.269[/tex]
b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48
So we just need to evaluate this in the linear equation:
[tex]y = 0.033*48 + 1.269 = 2.853[/tex]
Then the median salary in 2048 will be $2.853 million
If you want to learn more, you can read:
https://brainly.com/question/1189779
if a = (a l i ve) and b= (a c t) then what is a-b
Answers
A-B=(a p I v e) -(a c t)
=(p l v e) is the correct answer
0.23 divided by 5.05 explain with steps
Answers
Answer:
Step-by-step explanation:
\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100
\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505
\mathrm{Subtract}\:0\:\mathrm{from}\:23
r ÷2-p^2 ; use p=-5, and r=2
Answers
Answer:
-24 is the answer according to me.
What is the meaning,cause and effect of glaucoma
Answers
Answer:
Glaucoma is a group of eye conditions that damage the optic nerve, the health of which is vital for good vision. This damage is often caused by an abnormally high pressure in your eye. Glaucoma is one of the leading causes of blindness for people over the age of 60.
Step-by-step explanation:
Hope it does not help Lol ;)
If D is the midpoint of AB and AB = 15, what is AD?
7.5
15
22.5
30
Answers
Answer:
AD=7.5
Step-by-step explanation:
If AB=15 and D is the midpoint that means AD=DB which is half of AD,
AD=AB/2
AD=15/2
therefore AD=7.5
A base angle of an isosceles triangle contains 75º. How large is the vertex angle?
(A) 75°
(B) 30°
(C) 1050
(D) 210°
(E) 40°
Answers
give an example of a true statement that has a false converse?
it’s for geometry math.
Answers
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
Answers
Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
Find out more information about hyperbola here
https://brainly.com/question/27799190
#SPJ2
What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?
Use 3.14 for T.
Round the answer to the hundredths place.
Enter your answer in the box.
Answers
[tex]\Large{\underline{\sf Solution:-}}[/tex]
[tex]\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r[/tex]
[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15[/tex]
[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1[/tex]
[tex]\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}[/tex]
[tex]\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}[/tex]
[tex]\\ \sf\dashrightarrow \Theta=38.2°[/tex]
The expression (x - 6)2 is equivalent to
A. x2 - 36
B. x2 + 36
C. x2 - 12x + 36
D. x2 + 12x + 36
Answers
Answer:
x^2 -12x+36
Step-by-step explanation:
(x - 6)^2
(x-6)(x-6)
FOIL
x^2 - 6x-6x+36
Combine like terms
x^2 -12x+36
Find the sum of
2x^2- 8x– 6 and 9x^2-8
Answers
Answer:
11x^2-8x-14
Step-by-step explanation:
(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14
Answer:
11x^2-8x-14
Step-by-step explanation:
2x^2- 8x– 6 and 9x^2-8
solution:
2x^2- 8x– 6 +(9x^2-8)
=2x^2-8x–6+9x^2-8
=2x^2+9x^2-8x-6-8
=11x^2-8x-14
Stefan was baking cookies that called for 2 3/4 cups sugar and 3 1/2 cups flour. About how many total cups of ingredients does Stefan need? Round to the nearest half.
Answers
Step-by-step explanation:
Stefan ask ur mom the total cups of ingredients
3
(a)
The highest common factor and lowest common multiple of two numbers are
2x 52 x 7 and 22 x 3x 57 respectively. If one of the numbers is 22 x 52 x7, find the
other number. Express your answer as a product of prime factors in index notation.
Find the smallest positive integer p such that 1125xp is both a perfect square
and perfect cube. Explain your answer.
(b)
Answers
The answer is in the picture. I haven not finished question (a) since I think there might be a typing error in the question. So, could you check the question again please?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP
Answers
alright I can help!!
so slope intercept form is y= mx +b
20y=16x+120
y=(16x+120)/20
final answer: y=(4/5)x +6
Someone answer ASAP no image explanations please I can't see those!
Answers
Answer: The side length is 3in (inches)
Step-by-step explanation:
Since it's a cube, all the sides are the same.
Formula for cube: L x W x H
= 3 x 3 x 3
= 27in
Help meee plsss!!!!!!
Answers
Answer:
56m²
Step-by-step explanation:
1/2×b×h
1/2×14×8
1/2×112
112/2
56m²
Add.
4.2+(−1.2)+(−2.3)
Enter your answer in the box.
Answers
Answer: 4.2+(−1.2)+(−2.3) = 0.7
(x + 3)(x-8)
Multiply and simplify
Answers
[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]
Step-by-step explanation:
Multiple:
=x^2-24+3x-8x
=x^2-24-5x
=x^2-5x-24
Simplify:
x^2-5x-24=0
(x-8) (x+3) =0
x= 8 x= -3
Point Q is on line segment PR
. Given QR=2x+4,PQ=x, and PR=4x-10, determine the numerical length of PR.
Answers
Answer:
46
Step-by-step explanation:
PR = PQ + QR
4x - 10 = x + 2x + 4 {Combine like terms}
4x - 10 = 3x + 4 {Add 10 to both sides}
4x = 3x + 4 + 10
4x = 3x + 14 {Subtract 3x from both sides}
4x - 3x = 14
x = 14
PR = 4x - 10 {Plugin x = 14}
= 4*14 - 10
= 56 - 10
= 46
24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
Answers
Answer:
......................
Express the following ratio as a whole number ratios in the simplest form 10cm : 1.5m
Answers
Answer:
1/15
Step-by-step explanation:
1.5 m = 100*1.5 = 150 m
so
10/150 = 1/15
ALGEBRA REVIEW
What is an easy method to solve for x in a basic algebra problem? Example: 3x + 5x + 8x = 32
Answers
Answer:
2
Step-by-step explanation:
3x + 5x + 8x = 32
taking x common,
(3 + 5 + 8)x = 32
16x = 32
x = 32 / 16
x = 2
Answer: See below
Explanation:
The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.
Operations include combining like terms, dividing and multiplying terms, and etc.
I would be solving [3x + 5x + 8x = 32] as an example.
Solve:
Given
3x + 5x + 8x = 32
Combine like terms through addition
8x + 8x = 32
16x = 32
Divide 16 on both sides to isolate x
16x / 16 = 32 / 16
[tex]\boxed {x=2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Compare -4 and 4 using <,>,or =
Answers
Answer:
-4 < 4
Step-by-step explanation:
-4 is less than 0
4 is greater than 0
-4 < 4
A) A quadrilateral has two pairs of parallel sides and no right angles what two shapes could it be
B) A quadrilateral has one pair of parallel sides what shape could it be
Answers
Step-by-step explanation:
A. parallelogram & Rhombus
B. trapezium
How to solve
56.25x = 678
Answers
Answer:
x = 12.053
hope this helps !!