Answer:
[tex]The~vertex~of~parabola~f(x) = a(x-h)^2+k~is~(h,k).\\Given~equation~of~parabola~is:\\f(x) = 3(x+2)^2-1\\So,~ h =-2 ~and~k=-1\\Therefore,~(-2,-1)~is~the~vertex~of~parabola.[/tex]
What is the slope????
Answer:
-6
Step-by-step explanation:
is that quizzes join lol
My cousin is scared to talk to the boys at our party cus she thinks even though they are related they are mean. Should she go back there and talk to them, or should me or cousin 2 go with her.
Answer:
Don't force her let her ease into maybe getting comfortable enough to talk to the boys. Give some encouraging words for moral support but don't push it and don't go on your own without her. There will be plenty of more times to talk to different boys. Hope you have a great party.
Slope 7; (4,-30 equation
Answer: y=7x-68
Step-by-step explanation: Ok so you would use point slope to slope so plug the points in. y+30=7(x-4) then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68
Hence, the slope of line is [tex]y=7x-58[/tex].
What is the slope of line?
The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.
The slope is usually represented by the letter ‘m’.
Here given that,
Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].
As we know slope of line is
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope.
So,
[tex]y+30=7(x-4)[/tex]
Now convert it further into slope intercept form
[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]
Hence, the slope of line is [tex]y=7x-58[/tex].
To know more about the slope of line
https://brainly.com/question/12203383
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Write an equation in point-slope form of a line that has a slope of -2 and
passes through the point (2, 3).
Answer:
y=-2x+7
Step-by-step explanation:
Please gimme brainliest!!
Answer:
y-3=-2(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-2(x-2)
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21
Answer:
D. 35x-35y+21
Step-by-step explanation:
Pleaseeee helpp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer:
26 cm
Step-by-step explanation:
Answer:
26 cm!
If A extends to O which is half of the rectangle, and we need BD... We times AO by two to get BD. :)
v=u + at
u= 2
a = -5
t = 1/2
Work out the value of v.
Answer: -1/2
Step-by-step explanation:
V=2+(-5)*1/2
Answer:
V=u+at
=2+(-5)/0.5
= - 3/0.5
V=-6
A rental car agency charges $160.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $340.00?
Answer:
720 miles
Step-by-step explanation:
let 'm' = # miles you can travel for $340
340 = 160 + .25m
180 = .25m
m = 180/.25
m = 720
One jar of spaghetti sauce is made with 2/3 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
4
Step-by-step explanation:
2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).
x take away 5 is less than 8
on the grid below draw a line that is perpendicular to the line AB
Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width
Answer:
y³+16y²+60y
Step-by-step explanation:
Complete question
Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box
Let the length be x
Let the width be y
let the height be z
If the box is 10cm longer than it wide, then x = y + 10
Also if the height is 6 cm more than the width,
z = y + 6
Volume of the box = xyz
Substitute
Volume of the box = (y+10)(y)(y+6)
Volume of the box = (y+10)(y²+6y)
Volume of the box = y³+6y²+10y²+60y
Volume of the box = y³+16y²+60y
Hence the required polynomial function is y³+16y²+60y
Note that the question asked was assumed
Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)
Answer:
This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.
Step-by-step explanation:
Please helpppppppppppppppppp
The graph shows the progress of a train travelling between cities.
a) How far does the train travel in the 4 hour journey?
b) Write down a unit rate which compares the distance travelled with the time taken.
Answer:
a) 240 km
b) 60 km in 1 hour
Answer:
A) It will take 4 hours to get to a distance of 240.
B) If we find the unit rate of 240 by 4, divide 240 by 4, which is 60.
Step-by-step explanation:
A) Look at the graph, you see the dot is left by 240 and down by 4. So it would take 4 hours to get to a distance of 240.
B) Like I said, we divide 240 by 4. Make sure to put 1 as the denominator, and divide the top and bottom by 4.
PLEASE HURRY I NEED THIS ANSWERED Which expressions are equivalent?
Answer:B
Step-by-step explanation:
B because 3 is still x answers are just flipped
Please HELP will give Brainliest!!
Graph the following functions on the same set of axes for -20 < x < 21.
y= sinx
y= sin(x - 2)
y= sinx+ sin(x - 2)
Step-by-step explanation:
blue=sin x
red= sin(x-2)
green= sin x+sin(x-2)
what is the area of triangle DEF
Answer: 588 centimeters
Answer:
C: 588 square centimeters
Step-by-step explanation:
A= 1/2(b)(h)
base: 42
height: 28
A = 1/2(42)(28)
A = 1/2(1176)
A = 588
Given the diagram below, find the value of x:
a
27.5
b
62
c
8.5
d
31
Answer:
x = 31
Step-by-step explanation:
The 3 angles in a triangle sum to 180°
Sum the 3 given angles and equate to 180
2x - 7 + 2x + 63 = 180, that is
4x + 56 = 180 ( subtract 56 from both sides )
4x = 124 ( divide both sides by 4 )
x = 31
Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0
Correct equation is;
x³ - 7x² + 4x + 12 = 0
Answer:
All the real solutions are -1, 2 and 6
Step-by-step explanation:
The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.
Now, I have plotted a graph of this function and attached it.
From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.
Therefore all the real solutions are -1, 2 and 6
sum of the first nth term of a series is given by Sn = n (3n-4). Show that the terms of the series are in arithmetic progression
Answer:
see explanation
Step-by-step explanation:
Using the sum to n terms formula, then
S₁ = 1(3 - 4) = 1(- 1) = - 1 ⇒ a₁ = - 1
S₂ = 2(6 - 4) = 2(2) = 4, then
a₂ = S₂ - S₁ = 4 - (- 1) = 4 + 1 = 5
S₃ = 3(9 - 4) = 3(5) = 15, then
a₃ = S₃ - S₂ = 15 - 4 = 11
S₄ = 4(12 - 4) = 4(8) = 32 , then
a₄ = S₄ - S₃ = 32 - 15 = 17
S₅ = 5(15 - 4) = 5(11) = 55 , then
a₅ = S₅ - S₄ = 55 - 32 = 23
The first 5 terns of the series are
- 1, 5, 11, 17, 23
There is a common difference (d) between consecutive terms
d = 5 - (- 1) = 11 - 5 = 17 - 11 = 23 - 17 = 6
Thus the series is in arithmetic progression
7x+3(-4x-2)=-6 how do i solve
Answer:
Step-by-step explanation:
7x+3 (-4x-2)=-6
remove the parenthesis
7x-12x-6=-6
-5x=0
x=0
How to solve your question- 7
What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?
Answer:
measurement square meter
Step-by-step explanation:
thats good answer
sana po makatulong po sa inyo
po....................
ANSWER PLSSSSSS A delivery truck traveled 133 miles in 3.5 hours. What was the average speed of the delivery truck in miles per hour?
Answer:
38 Miles Per Hour
Step-by-step explanation:
133 / 3.5 = 38
Answer:
He went 38 miles on one hour.
Step-by-step explanation:
You would do the equation 133/3.5
133/3.5 = 38
Describe and correct the error in solving the following rational equation , plz help!!!!!
First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.
I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.
Correction:
[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]
as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.
Hope this helps!
How do I write a polynomial with nine roots? Do I just have to make sure I have x^9 or is that wrong?
Step-by-step explanation:
Yes, the degree of the of the polynomial will tell how much roots it has.
A linear equation with degree has one root so it only has 1 possible answer.
A quadratic equation with the degree of 2 has two possible roots.
So write a polynomial equationcwith the highest degree of 9.
Uh, what's 2+2 plus 8 plus 9 plus 10take away 100
Answer:
21
Step-by-step explanation:
Answer: -69
Step-by-step explanation:
help me out with this pls (multiple choice)
Answer:
45 45 90 special triangle
7√2 = √98
x² + y² = 98
x = y
x² + x² = 98
2x² = 98
x² = 49
x = 7
y = 7
ANSWER: c
Max is selling iPhone cases online. He offers two colors red and green. The red
cases (x) cost $10 each and the green cases (y) cost $20 each. He is trying to sell at
least $500 worth of cases each week. Create an inequality and graph it below.
Please state a combination of cases that meets his goal.
(Scale suggestion 1 box = $5)
Answer:
See belowStep-by-step explanation:
Red cases x = $10 eachGreen cases y = $20 eachMinimum target is $500Required inequality:
10x + 20y ≥ 500The graph is attached
Some combinations:
50 red or 25 green or 18 of each color etc.Any combination of positive numbers in the shaded region.Howdy;)
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Write the equation of the line in slope intercept form. Given the slope is 5 and the y-intercept is -8 (3pts)
Answer:
y=5x-8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Help me plz, i'll mark brainiest
Answer:
1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero
2. Parabola
3. Opens upward
4. Opens downward
5. Vertex
6. Axis of Symmetry
7. Zeros, roots, or x-intercepts
8. You are already given the function so
Step 1: FInd Axis of Symmetry
Equation for Axis of Symmetry: x= - b/2a
Step 2: Find Vertex
- The vertex will be on the Axis of Symmetry, so plug in x then find y.
Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)
Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex
Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "c"
Step 5: Find at least other point on the parabola and draw the curve.