Answer:
The Graph is shown below
Step-by-step explanation:
The Graph of a Function
Given the function:
[tex]\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2[/tex]
It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:
[tex]\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24[/tex]
Point (-2,-24)
[tex]\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6[/tex]
Point (0,-6)
[tex]\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0[/tex]
Point (2,0)
[tex]\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6[/tex]
Point (4,-6)
[tex]\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24[/tex]
Point (6,-24)
The graph is shown in the image below
Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)
Answer:
y=1/13x - 4/13
Step-by-step explanation:
Just follow the slope intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
I really need help I dont understand thank you
Answer:
Answer choice B
Step-by-step explanation:
Here is the form you are using:
y=mx +b
Substitute:
y=6x-5
Answer choice B
I need help please with this equation
Answer:
The chosen topic is not meant for use with this type of problem.
−
3
,
(
1
,
3
)
5
,
(
1
,
1
)
4
,
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2
,
−
4
)
Step-by-step explanation:
12 + m < -6 how many solutions
Answer:
m<−18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
m+12<−6
Step 2: Subtract 12 from both sides.
m+12−12<−6−12
m<−18
answer for brainlist
Answer:
Answer
Step-by-step explanation:
Simplify the expression. 8.5 - 6.21
Answer:
2.29
Step-by-step explanation:
8.5-6.21
4 10
8.50
-6.21
2.29
Can someone help with this please
Answer:
no solution
Step-by-step explanation:
because the x values got cut out, there's no solution
The graph of a polynomial function of degree n meets the x-axis at most n times.
Select one:
a. TRUE
b. FALSE
An exponential function f(x)
= ab" passes through the points (0, 12000) and (2, 3000). What are the values of a and b ?
Given:
An exponential function [tex]f(x)=ab^x[/tex] passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
[tex]f(x)=ab^x[/tex] ...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
[tex]12000=ab^0[/tex]
[tex]12000=a(1)[/tex]
[tex]12000=a[/tex]
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
[tex]3000=12000b^2[/tex]
[tex]\dfrac{3000}{12000}=b^2[/tex]
[tex]\dfrac{1}{4}=b^2[/tex]
Taking square root on both sides.
[tex]\pm \dfrac{1}{2}=b[/tex]
For an exponential function b cannot be negative. So, [tex]b=\dfrac{1}{2}[/tex].
Therefore, the value of a is 12000 and the value of b is [tex]\dfrac{1}{2}[/tex].
Very confused. I read and watched a video on it and it’s left me even more lost then before.
Answer:
whats the question?
Step-by-step explanation:
Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?
Answer: 6 2/3 ft
Explanation:
1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)
2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)
3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)
whats two hundred x two hundred 200x200
Answer:
its 40,000
Step-by-step explanation:
your friend says he has 4 x 4 x 4 marbles in his desk, write in exponential form and compute its value
Answer:
4 x 3 is 12 so he has 12 marbles on his desk
Answer:
log (2x)=3
2=ln 3x)
4=log(x)
f(x=1)=−1f(x=2)=1f(x=3)=3
1) O > 3x - 3-6
What is the answer
Answer:
Step-by-step explanation:
I never seen that kind of question
Answer:
x<3
Step-by-step explanation:
Let's solve your inequality step-by-step.
0>3x−3−6
Step 1: Simplify both sides of the inequality.
0>3x−9
Step 2: Flip the equation.
3x−9<0
Step 3: Add 9 to both sides.
3x−9+9<0+9
3x<9
Step 4: Divide both sides by 3.
What is the base in the expression 4⁵?
A. 4
B. 5
C. 9
D. 20
Answer:
4
Step-by-Step Explantion:
Base it always the big number not the little one on the top.
6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term
Answer:
see explanation
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3
[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3
[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 25 and r = 3 , then
a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075
Need help asap please
Answer: it is B. 39t + 54
Step-by-step explanation:
9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))
36t + 54 + 3t --- (combine like terms, 36t + 3t)
39t + 54
help plz plz will mark brainliest
Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
If f(x) = x ^ 2 - 2 and g(x)=x-3 what is (f o g)
Answer:
(f•g)(x) x² +7MARK ME AS BRAINLY#Carry On Learningif x= -3 what is the value of 30+4x ?
42
28
18
31
Answer:18
Step-by-step explanation:4(-3) = -12, and 40-12=18
Answer:
18
Step-by-step explanation:
help plz i dont undertand
Answers:
x = 4AB = 36BC = 36AC = 36All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36We get the same value for the three side lengths, so this confirms we have the correct x value.
(8x2 + 5x – 9) - (3x2 – 5x + 1) = ?
Answer:
10x
Step-by-step explanation:
Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to
Answer:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
Step-by-step explanation:
Given
[tex]Weekdays = \$m /hour[/tex]
[tex]Weekends = \$1.2m/hour[/tex]
Required
What does 9m + 3(1.2m) represent
The expression can be split to:
9m and 3(1.2m)
For 9m:
From the question, we understand that:
[tex]m = 1\ hour[/tex]
Multiply both sides by 9
[tex]9 * m = 1\ hour * 9[/tex]
[tex]9 m = 9\ hours[/tex]
This means that:
9m = the cost of lessons for 9 hours on weekdays
For 3(1.2m):
From the question, we understand that:
[tex]1.2m = 1 \ hour[/tex]
Multiply both sides by 3
[tex]3 * 1.2m = 1 \ hour * 3[/tex]
[tex]3(1.2m) = 3 \ hours[/tex]
This means that:
3(1.2m) = the cost of lessons for 3 hours on weekends
Hence, the expression represents:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
A rectangle has a length of x and a with width 3 more than twice the length. A square has a side length of 3x. If both polygons have the same perimeter what is the value of x.
Answer:
x = 1
Step-by-step explanation:
Length of the rectangle = x
Width of the rectangle = 2x + 3
Side length of the square = 3x
Perimeter of the rectangle = 2(length + width)
= 2{x + (2x+3)}
= 2(x + 2x + 3)
= 2x + 4x + 6
= 6x + 6
Perimeter of a square = 4 * length
= 4 * 3x
= 12x
If both polygons have the same perimeter
Perimeter of the rectangle = Perimeter of a square
6x + 6 = 12x
6 = 12x - 6x
6 = 6x
x = 6/6
x = 1
Which set of ordered pairs does not represent a function?
Answer: b
Step-by-step explanation: in order to be a function an input value should only have one output value. 8 has two output values ( 2 and -1 ) so it’s not a function.
PLEASE help me with this!
Carol bought two chairs with triangular backs. For what value of x can you use
a triangle congruence theorem to show that the triangles are congruent?
Which triangle congruence theorem can you use? Explain.
Answer:
x = 4
Step-by-step explanation:
Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.
To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.
Therefore,
9x - 21 = 15
Add 21 to both sides
9x - 21 + 21 = 15 + 21
9x = 36
Divide both sides by 9
x = 4
Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
x = 2
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )
14x = 28 ( divide both sides by 14 )
x = 2
Which is the graph of y = [x] - 2?
I think it's D because the y-intercept is (0, -2), and in D the filled in circle is on (0, -2) and it goes up one and right one, which is the slope. Although C does this it ends with only one filled in circle, but D still has the two circles and line in between them.