Answer:
Step-by-step explanation:
y = x^2 - 2x - 4
Convert to vertex form:
y = (x - 1)^2 - 1 - 4
y = (x - 1)^2 - 5
From this we conclude that there is a minimum vertex at (1, -5). It is a minimum because the coefficient of x^2 is positive.
It looks like a letter U and its symmetrical about the line x = 1.
You can plot 3 more points at say, where x = -2 ( and y = (-2)^2 - 2(-2) - 4)
and x = 4 ( y = 4^2 - 2(4) - 4 ) . Also where x = 0 and y = -4.
then draw the graph through these 3 points and the vertex.
what is the slope for (-10,0) and (0,10)
Describe the function between x = -4 and x = -1
A) linear and increasing
B) Non linear and decreasing
C) linear and decreasing
D) Non linear and increasing
Answer:
D) non-linear and increasing
Step-by-step explanation:
The points do not go up into a straight line with equal or even points. However, it is increasing or going up as you can see on the graph.
Hope this helps, good luck! :D
Answer:
A) linear and increasing
Step-by-step explanation:
the line between x = -4 and x = -1 is a straight line, thus, it's a linear, and it's also increasing
In what form is the following linear equation written?
y=9x + 2
A. Standard
B. Rise-run
C. Slope-intercept
D. Point-slope
9514 1404 393
Answer:
C. Slope-intercept
Step-by-step explanation:
There are numerous forms of the equation of a line. Here are a few.
y = mx + b . . . . slope-intercept form; slope m, y-intercept b
y -k = m(x -h) . . . . point-slope form; point (h, k), slope m
ax +by = c . . . . standard form; mutually prime integers, a > 0
x/a +y/b = 1 . . . . intercept form; x-intercept a, y-intercept b
ax +by +c = 0 . . . . general form
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form; points (x1, y1), (x2, y2)
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1) . . . . you might call this rise-run form
__
The given equation best matches slope-intercept form; slope 9, y-intercept 2.
Consider the following graph of y = f (x). I need help
Answer:
A.) 1 and 5
B.) -3
C.) [-1, 6]
D.) [-3, 2]
I don't know what E is
Step-by-step explanation:
Numerical expressions for add 12 to 8 then multiply by 5
Answer:
(12 + 8) x 5
Step-by-step explanation:
9. Find the length AD of the shape given below, giving your answer correct to 2
decimal places.
Answer:
Length of AD = 10.47 meter (Approx.)
Step-by-step explanation:
Given:
Triangle ACB is a right angle triangle
Length of AC = 14.8 m
Length of CB = 5.5 m
Length of CD = 6.4 m
Find:
Length of AD
Computation:
Using Pythagorean theorem
Base = √Hypoteneus² - Perpendicular²
Length of AB = √14.8² - 5.5²
Length of AB = 13.74 m
Length of DB = √6.4² - 5.5²
Length of DB = 3.27
Length of AD = Length of AB - Length of DB
Length of AD = 13.74 - 3.27
Length of AD = 10.47
Length of AD = 10.47 meter (Approx.)
Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest?
Answer:
$30 is paid in interest.
Step-by-step explanation:
The couch costs $825 and Miguel will pay 9 * $95 = $855. So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest
Olivia wants to spend at most $259 on
video games.
If each video game cost $64, what is the
maximum number of games Olivia can
buy?
4 is the maximum number of video games Olivia can buy
Answer:
4 games
Step-by-step explanation:
Find the maximum number of games she bought by dividing 259 by 64:
259/64
= 4.04
Since we can only have a whole number of games, we have to round this down.
4.04
= 4
So, the maximum number of games she can buy is 4.
Given that f(x) = x2 - 5x+6, evaluate the function f(6).
Answer:
f(6) = 12
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2 - 5x + 6[/tex]
Evaluate the function f(6).
This is [tex]f(x)[/tex] when [tex]x = 6[/tex]. So
[tex]f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12[/tex]
f(6) = 12 is the answer.
A model rocket is launch from a platform 17 feet high in the initial velocity is 40 ft The path of the rocket is modeled by the equation 16x^2 +40X +17=0 When does the rocket land
Answer:
It will be in the air until P(x) is zero.
P(x) = -16x2 + 32x = -16x(x - 2)
P(x) = 0 ⇒ x = 0 or x = 2
It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.
Please Help!
Megan can paint three times faster than Julie. Together they can paint in 2 hours. How long would it take each of them alone? Which equation can be used to solve this?
(1/x)+(1/3x)=2
2(1/x)+2(1/3x)=1
(1/x)+(1/3x)=1
4(1/x)+2(1/3x)=1
Answer:
The second one
2(1/x) + 2(1/3x) = 1
Step-by-step explanation:
1/x + 1/(3x) = 1/2
multiply both sides by 2
2(1/x) + 2(1/(3x) = 1
Find the missing side of each right triangle (Pythagorean’s #Theorem)
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
b = 3Find value of x that will make a||b
Answer:
x = 4
Step-by-step explanation:
If line A is parallel to line B, therefore,
9x + 4 = 5x + 20 (alternate interior angles theorem)
Solve for x. Collect like terms together
9x - 5x = -4 + 20
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
Therefore, the value of x that will make lime A parallel to line B is 4
Help me with this.thank you
Answer: 3 miles.
Step-by-step explanation:
Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.
This will be:
= ¾miles × 4
= 3 miles
Therefore, Wilson walked a distance of 3 miles for the 4 days.
Degree and Radian Measures
What is the radian equivalent of 60°?
a. π/4
b. π/3
c. π/2
d. π/5
Please select the best answer from choices provided
Answer:
B. π/3
Step-by-step explanation:
I calculated it logically
Answer:
B: pi/3
Step-by-step explanation:
The conversion is:
degrees° *
60pi/180= pi/3
I have no idea what this is.
g(-9)
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The slope is 3 and the y-intercept is 4. How much more is the slope of function A than the slope of function B? 2 3 6 9
Answer:
6
Step-by-step explanation:
9 - 3 = 6
Answer: C
Step-by-step explanation:
The perimeter of the polygon above is
Answer:
80 cm
Step-by-step explanation:
5 points in a star, each point has a perimeter of 16,
16 x 5 = 80
or just legit add all the 8's
DONT FORGET TO INCLUDE THE UNITS
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/16
16*0.65=x
10.4=x
A mechanic repaired 12 cars one day,
but the next day they repaired 7 cars.
What was the percent change?
Answer:
78
Step-by-step explanation:
when there is a five car diffrence its possible
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
2,574 in.³
Step-by-step explanation:
The shape is a rectangular prism.
volume = height * width * depth
volume = 11 in. * 13 in. * 18 in.
volume = 2,574 in.³
Can anyone please help me with this? i need answers for all the blank spaces. I dont need to know how to do it, just the answers.
Answer:
[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]
so, -1, -1 and 13
What is the expression for 0.5(16-m)
Answer:
−0.5m+8
Step-by-step explanation:
Mark as Brainliest
True or False: A correlation coefficient tells you how closely the points fit to the linear regression?
Answer:
false
Step-by-step explanation:
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If you roll a standard die one time, what is the probability that it will land on a 5?
Answer:
1/6
Step-by-step explanation:
A standard dice has 6 numbers. Convert it as a fraction, and you get 1/6 per probability of a number.
Will reward points!!! Someone please help me!!
Can someone solve this pls???
Answer:
i think is( C.) distance and speed
hoped i helped
4. Find the volume of the of the cylinder.
24
20
in
in
120
in
Answer:
[tex] V_{cylinder} =16,579.2\: in^3 [/tex]
Step-by-step explanation:
Inner radius [tex] (r_1)[/tex] = 20/2 = 10 in
Outer radius [tex] (r_2)[/tex] = 24/2 = 12 in
Height of the cylinder (h) = 120 in
[tex] \because V_{cylinder} =\pi( r_2^2-r_1^2) h[/tex]
[tex] \therefore V_{cylinder} =3.14(12^2-10^2) 120[/tex]
[tex] \therefore V_{cylinder} =376.8(12^2-10^2) [/tex]
[tex] \therefore V_{cylinder} =376.8(144-100) [/tex]
[tex] \therefore V_{cylinder} =376.8(44) [/tex]
[tex] \therefore V_{cylinder} =16,579.2\: in^3 [/tex]
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
Step-by-step explanation:
cos(30) = Adj/hyp
cos(30) = 6 /x
x = 6 / cos(30)
x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)
x = 12 / [tex]\sqrt{3}[/tex]
( 12 / [tex]\sqrt{3}[/tex] )^2 = 6^2 + y^2
( 12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2
144/3 -36 = y^2
48-36=y^2
12 = y^2
[tex]\sqrt{12}[/tex] = y