Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length
Answer:
width?
8-W-52
2(w-8) +2w=52
(W-8)+W=52
2(8-W) +2w=52
Joe and Becky are buying fish for their new aquarium. The expression 3g + 4a represents the cost in dollars of buying fish
where 'g' is the number of guppies purchased and 'a' is the number of angel fish purchased. Find the cost of fish if they buy 12 guppies and 4 angel fish. Explain your work.
Answer:
$52
Step-by-step explanation:
Find the cost by plugging in 12 as g and 4 as a into the expression:
3g + 4a
3(12) + 4(4)
36 + 16
= 52
So, the cost will be $52
please help me solve this problem one problem for 15 points
i didn't get it what is the question
Which expression is equivalent to 24x2 - 22x + 5?
Answer:
C
Step-by-step explanation:
Given
24x² - 22x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 5 = 120 and sum = - 22
The factors are - 12 and - 10
Use these factors to split the x- term
24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )
= 12x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term
= (12x - 5)(2x - 1) ← in factored form → C
BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
x-y=4
Step-by-step explanation:
Slope = (1-(-4))/(5-0) = 5/5 = 1
y-intercept,
b=-4-(1)×0=-4
so the equation is,
y=x-4
or, x-y=4
Answered by GAUTHMATH
Express in simplest form -45%
Answer: hello, your answer is -0.45
is (6,3) a solution to this system of equations y=3x - 3 3x - y =3
Answer:
It is not a solution
Step-by-step explanation:
Plug the point into the equations and check to see if they are true
y=3x - 3
3 = 3(6) -3
3 = 18-3
3 = 15
False
We do not need to check the other equation since this is false
the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle
Answer: 18,27,36
Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.
Which function is positive for the entire interval [–3, –2]?
On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).
On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Answer:
B
Step-by-step explanation:
Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.
To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.
The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.
The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.
The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.
The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.
To know more about interval:
https://brainly.com/question/34520204
#SPJ3
13 subtracted from a number is at most 10
Step-by-step explanation:
[tex]13 - x \leqslant 10[/tex]
[tex]3 \leqslant x[/tex]
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
supplementary angles measure _____ degrees?
my answer
90°to 180°degrees
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
PLEASE HELP! What is the number ( code ) ?
Answer:
The number code is: 12.95
Step-by-step explanation:
98.86 + 74.57 = 173.43
345.32 - 19.78 = 325.54
0.79 x 0.86 = 0.6794
5733.75 + 75 = 5,808.75
So, if you put the numbers together you will get -
12.95
Hope this helps!
Good Luck!
:)
If you can, please mark me brainiest
The value of the expression when x equals 12/7 is..
Answer:
x = 82
Step-by-step explanation:
1/3(12/7 + 9/7) + 3⁴ =
1/3(21/7) + 3⁴ =
1/3(3) + 3⁴ =
1 + 81 = 82
What is 2x/3 - 4 =x ?
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
Put these numbers in order from least to greatest.
0.1, 1/2, and 0.2
Answer:
0.1, 0.2, 1/2
Answer:
0.1<0.2<0.5(1/2)
hope it helps
have a nice day
What is the sum of the fractions? Use the number line to help find the answer.|
+
5
Answer:
-4/5
Step-by-step explanation:
If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)
Answer:
You subtract them:
3/5-7/5 (the plus disappears when faced with a minus)
-4/5
The sum of two numbers is 45. One number is 9 more than the
other one. Find the numbers.
Answer:
27+18=45
Step-by-step explanation:
x+y=45
x+9=y
(x+9)+x=45
(18+9)+18=45
27+18=45
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 45. One number is 9 more than the other one.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = x + 9 ...1
x + y = 45 ...2
From equations 1 and 2, then we have
x + x + 9 = 45
2x = 36
x = 18
The value of the variable 'y' is given as,
y = 18 + 9
y = 27
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Calculate the length of line segment XY in each triangle.
Please No Docs/No File Only real answer
25 points and a 5 star rated
Answer:
XY = 10 cm
Step-by-step explanation:
XY is a midsegment and is half the length of the 3rd side DE, that is
XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm
Does this graph represent a function? Why or why not?
Answer:
B yes, because it pases the vertical line test
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
my previous account deleted...how r u sadie??
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
what is the nth term of 1/3 4/7 7/11 2/3
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y = -1/2x + 1/4
This equation is in slope intercept form
y = mx+b where m is the slope and the y intercept is b
The slope is -1/2 and the y intercept is 1/4
Worth 10 pts
Plssssssssssssssssss help
Will give brainliest
Answer: [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]
a = 2 and b = 1
=======================================================
Explanation:
Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root
[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]
In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2
-------------------
At this point, we equate the non-radical and radical terms to get this system of equations
[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]
The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)
Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.
We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).
If so, then we have these four possibilities
a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.
Let's assume that a = 1 and b = 2. If so, then,
2a^2+3b^2 = 2(1)^2+3(2)^2 = 14
but we want that result to be 11 instead.
Let's try a = 2 and b = 1
2a^2+3b^2 = 2(2)^2+3(1)^2 = 11
which works out perfectly.
Therefore,
[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]
---------------------------------
Checking the answer:
Use a calculator to find that
[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]
both have the same decimal approximation, so this is a fairly informal way to confirm the answer.
Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0
So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
1) 1 hour and 15 minutes
2) 4:07
3) 30 minutes
4) 8:35
9) 1 hour and 53 minutes
10) 4:17
11) 2 hours and 52 minutes
12) 3:35
13) 9:55
14) 8:10
15) 1 hour and 45 minutes
16) 3:05
17) 6:48
18) 9:45
19) 1 hour and 25 minutes
20) 2 hours and 45 minutes
Brainliest would be appreciated :)
The graph shown is a scatter plot:
Which point on the scatter plot is an outlier?
Answer:
D is the outlier
Step-by-step explanation:
An outlier is a point that is far from the other points
We can draw a line that roughly represents an equation for the points
A,B ,C are all near the line
D is not along the line
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
