Answer:
f(2) = 5
Step-by-step explanation:
Given: f(x) = x² + 2x - 3
We are asked to find the value of the function when x = 2.
In the function, substitute 2 as the value of x and simplify:
f(2) = (2)² + 2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
When x is equal to 2, the value of the function is 5.
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a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f
What is the value of x?
Answer:
a) 20
Step-by-step explanation:
90 - 46 = 44
44 - 4 = 40
40/2 = 20
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)
Answer:
24 Cups
Step-by-step explanation:
you just need to divide 6 by 1/4, whihc equals 24/1
Find the value of sin E rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
using sin formula
[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]
The product of a number and 7 less than the number is 260. Find the numbers.
Answer: 20,-13
Step-by-step explanation:
We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answer:
Step-by-step explanation:
37/16 as a decimal rounded to the nearest tenth
Answer:
2.3
CAN I GET BRAINLIEST PLEASE
Step-by-step explanation:
Answer:
2.3.Step-by-step explanation:
We know that:
the fraction is 37/16What we DON'T know is:
the decimal of 37/16.Solve for the decimal:
37/16= 2.3 (Can't find my explanation).Answer is 2.3.
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist.
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
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Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?
Answer:
1,064dm^2
Step-by-step explanation:
The formula for Area
—> A = lw
Plug our units into the formula
A = 38(28)
A= 1064dm^2
John plots the point with the polar coordinates (3,5π6).
How does he plot this point?
Drag a value or phrase into each box to correctly complete the statements.
John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.
The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.
This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.
How to find Polar Coordinates?
Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.
Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.
If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.
In case r is positive, the point will lie in the same quadrant as the angle of rotation.
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How do you do this?
Answer:
you will have to get a protractor and angle side right
x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
Shreya has 40 pairs of shoes stacked inboxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
it's either 20 or 80..
Answer:
80 shoes
Step-by-step explanation:
40×2
a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?
Answer:
yes
the area of a circle is πr^2
A=πr^2
which means the area of a circle is dependent on the size of the radius of the circle.
Take for instance, the radius is 3cm and π= 3.142
A = 3.142×(3^2)
A = 28.278cm^2
Another example, if the radius of the circle is increased to 4cm, what will be the area.
A = 3.142×(4^2)
A = 50.272cm^2
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700y ≤ 4000
It is ≤ as it can either be equal to 4000 per week or less than.
Answer:
B.Step-by-step explanation:
TIMED, PLEASE ANSWER QUICKLY
Given the figure above, which of the following statements is not necessarily true?
A. ZG ZD
B. ABCD HEFG
C. DAGH
D. DCGF
Answer:
A.
Step-by-step explanation:
Mainly because i dont see ZG ZD on the figure.
Answer:
The first answer is Correct answer ZG ZD
find the answer of given photo
The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706
The mean, standard deviation, min, max, etc.To do this, we make use of the following data values
15, 16, 16, 17, 17, 17, 20, 22, 22, 30
The mean is calculated using:
Mean = Sum/Count
So, we have:
Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10
Evaluate
Mean = 19.2
Using a graphing calculator, we have:
Standard Deviation, σ = 4.30
The min and the max are:
Min = 15
Max = 30
See attachment for the histogram.
From the attached histogram, we can see that the skewness of the plot is positive skewness
The percentage area between min and max expenses.The min and the max values are the range of the normal plot.
So, the percentage area between these values is 100%
Inspect three samplesLet the three samples be
16, 17, and 30
The sample mean is:
Mean = Sum/Count
So, we have:
Mean = (16 + 17 + 30)/3
Evaluate
Mean = 21
The sample mean is different from the population mean
Since the means are not equal, then we fail to accept the Null hypothesis.
The correlation coefficientTo do this, we make use of a graphing calculator with the following calculation summary:
X Values
∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154Y Values
∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333X and Y Combined
N = 6∑(X - Mx)(Y - My) = -8R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -8 / √((154)(3.333)) = -0.3531
The correlation coefficient -0.3531 means that there is a negative correlation between the data values
The equation of the Regression lineTo do this, we make use of a graphing calculator with the following calculation summary:
b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563So, we have:
y = -0.052x + 2.706
Hence, the equation of the regression line is y = -0.052x + 2.706
See attachment 2 for the scatter plot.
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r= 8.4 in
Calculate the diameter of the
circle.
Answer:
The diameter is 16.8
Step-by-step explanation:
The diameter is double the radius.
- -- - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
r=8.4 in. What is the circle's diameter?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-
d(diameter)=16.8 in
Good luck with your studies.-- - - - - - - - - - - - -- -- - - - - - - - - - - -- - -
Find the location of G, the midpoint of FH.
The coordinate of G is (3,6.5).
What is Section Formula?
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
The Coordinate of F is (1, 7)
The Coordinate of H is (5,6)
Since G is the midpoint. So, it divides the line FH in 1:1 part
Let coordinates of G be (x, y)
Now using Section Formula,
[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]
x= 3 and y = 6.5
Hence the coordinate of G is (3,6.5)
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Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second
Divide total distance by total seconds:
300 meters / 50 seconds = 6 meters per second.
Answer: 6 meters
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help
The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
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x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)
Shifted up
shifted left
shifted right
shifted down
Find shift
f(x-6)
(x-6)²So
f(x)=x²x is decreased 6 units
So
The graph will shift 6 units right
Graph attached
Answer:
shifted right
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=x^2[/tex]
Translated 6 units to the right: [tex]f(x-6)=(x-6)^2[/tex]
The legs of a right triangle are 8 and 9 units long. What is the area of the triangle in square units?
Answer:
Step-by-step explanation:
Area of a triangle is a*b divided by 2
Lets assume a = 8 and b= 9
8 *
9=72
72/2=36
Given the following equation, what is the slope of the linear function?
Answer:
2/3
Step-by-step explanation:
The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.
The slope is 2/3.
Help please lol lol :))))
Answer:
is this required answer
Step-by-step explanation:
AB=3x-2
=3*8-2
=22
Answer:
[tex]\huge\boxed{\textbf{AB = 22}}[/tex]
Step-by-step explanation:
Given that:
AB = 3x - 2
Put x = 8
AB = 3(8) - 2
AB = 24 - 2
AB = 22
[tex]\rule[225]{225}{2}[/tex]
!!!!HELPPPP!!!! if cos theta = - square root 3 over 2 and pi < theta < 3 pi over 2, what are the values of sin theta and tan theta?
will mark Brainliest for correct answers .
i’m in a final pls help
Answer:
Option 4
Step-by-step explanation:
In Quadrant IV,
tan = +vecos = -vesin = -veIf cosθ = -√3/2, then :
sinθ = -1/2tanθ = √3/3i need help with 7th grade math please need help ASAP + brainleist
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]Find the measure of the indicated angle to the nearest degree
Answer:
C
Step-by-step explanation:
All triangles come up to a 180 degrees so you can add and then subtract
