Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
5) where 2 coins are toased find the probability of getting:
1)both the coins with some place
2)both the coins with different place
3)at least one tail
5)at the most one head
Step-by-step explanation:
Let S be the sample space
S={HH, HT, TH, TT}
n(S)= 4
A: both the coins with some place
B: both the coins with different place
C:at least one tail
D:at the most one head
1) A={TT,HH}
n(A)=2
P(G)= n(A)/n(S)
= 2/4
= 1/2
2) B ={HT, TH}
n(B) = 2
P(B) = n(B)/n(S)
= 2/4
= 1/2
3) C= {HT, TH, TT}
n(C)=3
P(C) = n(C)/n(S)
= 3/4
4). D={HT, TH}
n(D) = 2
P(D) = n(D)/n(S)
= 2/4
=1/2
in ten minutes he traveled 8 miles Write the equation for the relationship between x and y.
Answer:
Step-by-step explanation:
The trick here is to make sure that the units are standard units, like miles / hour.
10 minutes = 10 / 60 hours.
k = 1/6 of an hour
y = k x
k = y/x
k = 8 miles / 1/6 of an hour
k = 8 * 6 // 1/6 * 6
k = 48 miles / hr
y = k x
y = 48 * x
What is the equation of the line that passes through the point (-1,4)and has a slope of -5?
Answer:
y = -5x - 1
Step-by-step explanation:
NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).
The formula for calculating slope-intercept form is y = mx + b.
Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b
4 = 5 + b
Subtract 5 from both sides.
So, -1 = b.
Now substitute the slope for m and -1 for b.
y = -5x + -1
= y = -5x - 1
A bag of rare spice that weighs 2/3 pounds will be split equally among 12 people. How much spice will each person get
Answer:
1/18 pound each
Step-by-step explanation:
Take the number of pounds and divide by 12 people
2/3 ÷12
Copy dot flip
2/3 * 1/12
Rewriting
2/12 * 1/3
1/6 * 1/3
1/18 pound each
Answer:
Each person will get 1/18 pounds of spice from the bag
Step-by-step explanation:
Divide 2/3 by 12:
Make 12 a fraction by adding 1 as the denominator:
2/3 ÷ 12/1
Reciprocate the second fraction:
2/3 ÷ 1/12
Turn it into multiplication:
2/3 x 1/12 = 2/36
SIMPLIFY 2/36:
2/36
Divide both sides by 2:
1/18
so your answer is 1/18
I hope I helped!
What is the ratio of the area of the square of side x to the area of rectangle of width 2x and length 3x?
Answer:
2:3
Step-by-step explanation:
Find the value of x that makes lines u and v parallel. 11x-2 is the "larger" looking angle on the left.
Answer: 12
11x - 2 = 130
11x = 130 + 2
11x = 132
x = 132/11
x = 12
Now with value x the angle will be 130 and using converse of corresponding angles theorem line v and u will be parallel
Answered by Gauthmath must click thanks and mark brainliest
Find the measure of each angle indicated
Answer:
13. 100* : 14. 111* : 15. 125* : 16. 47*
Step-by-step explanation:
13. Same side interior angles add to 180.
14. Alternate interior angles equal each other.
15. Alternate interior angles equal each other.
16. Opposite angles equal each other.
A university student spends his summer months in his home town, where he works for a local microbrewery during the evening hours. In the late morning, he attends the local community college, where he takes summer courses that he knows will transfer back to his school. Although he finds the courses just as challenging as at his regular university, he does not worry about his summer grades affecting his 3.2 (out of 4.0) grade point average, because his university only accepts the transfer credits. As long as he receives C grades or better, he maintains his current grade point average. Which theory suggests that the student will work only as hard as necessary to earn a C grade
Answer:
Expectancy theory
Step-by-step explanation:
We are told that as long as he receives C grades or better, he maintains his current grade point average.
This means that;
There is a large tendency for him to work just hard enough to earn a c grade.
This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.
Consider the equation y\:=\:-x^2\:-\:7x\:+\:12. Determine whether the function has a maximum or a minimum value. State the maximum or minimum value. What are the domain and range of the function?
Answer:
Step-by-step explanation:
To answer this we need only know that negative parabolas are upside down, so by definition, it has a max point at the vertex. To find the vertex (h, k), the easy way to do this is to fill in the following expressions for h and k and solve:
[tex]h=\frac{-b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] (These are derived from the quadratic formula). Filling in knowing our a = -1, b = -7, c = 12:
[tex]h=\frac{-(-7)}{2(-1)}=\frac{7}{-2}=-\frac{7}{2}[/tex] and
[tex]k=12-\frac{(-7)^2}{4(-1)}=12-(\frac{49}{-4})=12+\frac{49}{4}=\frac{97}{4}[/tex] so the vertex (aka max height occurs at [tex](-\frac{7}{2},\frac{97}{4})[/tex]. Depending upon what is meant by stating the max value, we may only need to state the k value (which is the same as the y coordinate, which is an up or down thing as opposed to the x value which is a side to side thing). The domain is all real numbers, as is the case for all x-squared parabolas, and the range is
R = {y | y ≤ 97/4}
I can't see your choices so match them up from these answers to the ones in the list of choices.
A plane is traveling at 600 miles per hour. How many feet per second is it traveling?
ft/sec
Help!
Answer:
see explanation
Step-by-step explanation:
First we need to convert 600 miles per hour into feet per hour,
which is
# 3.168e+6
next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second
which is
#880 ft per second
please help me with this
simplify sqrt24w^14
Answer:
2×sqrt(6)×w⁷
Step-by-step explanation:
what I can read here, you need to simplify
sqrt(24×w¹⁴)
= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =
= 2×sqrt(6)×sqrt(w¹⁴)
and taking the square root of something with exponent simply means dividing that exponent by 2
so,
2×sqrt(6)×w⁷
Write a rule to describe the transformation.
Answer:
1.) Reflect across x-axis
2.) Reflect across y-axis
3.) Move to the right by one unit
Step-by-step explanation:
The reflection rule is ''about the origin''.
Used the concept of reflection that states,
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the origin, the x-coordinate and y-coordinate do not change places and are negated.
Given that,
Two figures VWGY and V'W'G'Y' is shown in the figure.
From the figure,
V = (0, - 2)
W = (- 1, 0)
G = (2, 0)
Y = (5, - 4)
V' = ((0, 2)
W' = ( 1, 0)
G' = (- 2, 0)
Y' = (- 5, 4)
Hence the coordinate satisfies the rule (x, y) → ( - x, - y).
So, the reflection rule is about the origin.
To learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ4
if loss is L percent and cost price is the C.P what will be the selling price???
plss do it in step by step
Answer:
Step-by-step explanation:
25%=25/100= 1+4=5
1 is loss on selling price 4 so cost price =1+4=5
Then loss on cost price = 1/5x100=20%
can someone please help me with this?!?!!
Answer:
I can't help but I hope you succeed
please do only b and e
Answer:
b. y = x + 3
e. y = 2x + 5
Step-by-step explanation:
here is your formula: y = mx + b
x is your slope and b is your y-intercept
Hope this helps
10a^9-33a^3
Help plzz
Answer and Step-by-step explanation:
I think you have to factor the expression.
You can take out [tex]a^3[/tex], to get the expression:
[tex]a^3(10a^6-33)[/tex] <- Answer.
When multiplying values with exponents, the exponents add together, and when dividing values with exponents, the exponents subtract from each other.
In this situation, we divided [tex]a^3[/tex] from the expression, with the expressions having exponents of 9 and 3. We subtract 3 from 9 and 3 from 3, resulting in the 6 and 0 (not shown because it isn't needed to show).
#teamtrees #PAW (Plant And Water)
What is the rule for this reflection?
1 point
C(4,4
[(4,4
reflected image
B (2, 2)
preimage
A' (-5, 1)
B'(-22)
A(5, 1)
0 (x, y) -> (-x, y)
(x, y) -> (x,-y)
(x, y) -> (-X, -y)
(x, y) -> (-y,x)
Answer: To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y=x: (y, x).
c) Next, you will make a scatterplot. Name a point that will be on your scatterplot and describe what it
represents
Solution :
A scatter plot is defined as the mathematical representation of two variables of a given data set. It shows the relationship between the two variables and is plotted graphically.
In the scatter plot attached below, in the x-axis, the number if ice creams are plotted. And the y-axis shows the sales revenue generated by selling ice creams.
Thus the point (12, 190) shows that by selling 12 ice creams, the company generated a sale of $190.
Answer:
what they said was the best explanation
Step-by-step explanation:
The sum of two trinomials is 7x2 − 5x + 4. If one of the trinomials is 3x2 + 2x − 1, then what is the other trinomial?
Answer:
Step-by-step explanation
3. The vertices of trapezoid WXYZ are W(-2, 4), X(-3, 2), Y(-3, 1), and Z(-2, 1).
Which figure shows the image of trapezoid WXYZ for a glide reflection where the translation is (x, y) - (x + 2, y) and the line of
reflection is y = 0?
Step-by-step explanation:
I don't know, if I see the full picture. I see only 2 diagrams.
since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.
and something might be wrong with your translation description.
but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.
Could you please help me with this geometry assignment
lol sorry i dont even know i just want points xd
P/4+=16
Pls show work!!
Answer:
64 is the answer
Step-by-step explanation:
p / 4 = 16
p = 16 x 4
p = 64
Simply: 9+2(3+4)
I need help
Answer:
23
Step-by-step explanation:
9+2(3+4)
PEMDAS
Parentheses first
9+2(7)
Then multiply
9+14
Then add
23
Answer:
23
Step-by-step explanation:
9+2(3+4)
=9+(2)(7)
=9+14
=23
PLEASE HELP
What are the vertices of triangle A’B’C’
If triangle ABC is dilated by a scale factor of 1/2
Answer:
Option A
Step-by-step explanation:
multiple each coordinate by 1/2
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 8 to x = 9?
A. -82
B.-17
C.-2
D.-65
Answer:
-17
Step-by-step explanation:
If f(x) = -5x - 11, then f-1(x) =
Answer:
f^-1(x) = -1/5(x+11)
Step-by-step explanation:
f(x) = -5x - 11
y = -5x - 11
Exchange x and y
x = -5y -11
Solve for y
x+11 = -5y-11+11
x+11 = -5y
Divide by -5
(x+11)/-5 = -5y/-5
-1/5(x+11) = y
f^-1(x) = -1/5(x+11)
points m and n are two vertices of a right triangle. they are the endpoints of the hypotenuse mn of the triangle. the third vertex lies in the fourth quadrant
Answer:
HEY IMAGE IS BLUR
Step-by-step explanation:
The cost of a cab ride is given by the function C= 1.80 + 1.5 d , where d is the number of miles traveled and C is in dollars. What is the cost of a 10 mile ride ?
Answer:
$16.8
Step-by-step explanation:
Given data
We have the given function as
C= 1.80 + 1.5d
Let us substitute the value of d=10 in the expression
C= 1.80 + 1.5*10
C=1.80+15
C=16.8
Hence the cost of the ride for 10 miles is $16.8
What is the length of BC
Answer:
CB = 17
Step-by-step explanation:
This is an isosceles triangle so AC = AB
x+9 = 2x-8
Subtract x from each side
x+9-x =2x-8-x
9 = x-8
Add 8 to each side
9+8 = x-8+8
17 = x
CB = x
CB = 17
please help i need help with this SHOW WORK please i will give brainly
Answer:
[tex]1\frac{1}{2}[/tex] hours per acre
Step-by-step explanation:
Unit rate in hours per acre = Total hours ÷ acres
= [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]
[tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]
