Answer:
y=-7x+3
since the formula is y=mx+b where m is the slope and b is the y-intercept.
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
PLEASE I WILL GIVE YOU POINTS!
Answer:
None
Step-by-step explanation:
y=(2x)^(1/3)-7 wrong
y= -2(3x)^(1/6) wrong
y=-x^(1/2)+5 wrong
y=(x+2)^(1/4) wrong
The ratio of blue chairs to red chairs in Ms. Vickers' class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vickers' class? A 14 C 28 B 20 D 35
Answer:
I would say B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Can you guys answer both of these questions
Answer:
2+18
Step-by-step explanation:5+123
Michael buys a car and agrees to pay $1,500 up front and $450 month for the next 2 years. Which shows the total amount,y, in dollars that will be paid at the end of x months?
Answer:
Total cost= $12,300
Step-by-step explanation:
Giving the following information:
Fixed cost= $1,500
Monthly cost= $450
To calculate the total cost, we need to use the following formula:
Total cost= fixed cost + unitary variable cost*x
x= number of units
For 2 years:
Total cost= 1,500 + 450*24
Total cost= $12,300
Answer:
Step-by-step explanation:
uppose a computer animator has worked on 56 projects. If the ratio of video games to all other projects is 5:9, how many projects are video games?
Answer:
Number of video game = 20
Step-by-step explanation:
Given:
Total number of project = 56
Ratio = 5:9
Find:
Number of video game
Computation:
Number of video game = 56[5/(5+9)]
Number of video game = 56[5/(14)]
Number of video game = 280 / 14
Number of video game = 20
plllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
63/9=7
6.3/0.9=7
0.63/0.09 = 7
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. 6(3c-5d+6)=
Answer:
18c - 30d + 36
Step-by-step explanation:
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
-3, 6, -12, 24,.......... a9
What’s the missing term?
Answer:
-48 there is a pattern
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
I don’t get it can someone help me please.
9514 1404 393
Answer:
89.1 liters
Step-by-step explanation:
"At the same rate" means miles and liters are proportional. The unknown is liters, so we can write the proportion with liters in the numerator:
liters/miles = x/672 = 49/369.6
Multiplying by 672, we have ...
x = 672(49/369.6) ≈ 89.09091
It will take 89.1 liters of gas to go 672 miles.
Jacob has several wood dowel remnants. He needs
several pieces that are at least 2 1/4 feet long to use for
4.
a project. Select ALL of the lengths that would be
useable.
(Select all that apply.)
2
feet
16
2.3 feet
2.25 feet
2 feet
Answer:
2 feet, 2.3 feet, 2.25 feet, and 16 feet
a(-1, 1)b(1, -2)c(0, -4) rotated 270 degrees by the origin
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.
Answer:
Step-by-step explanation:
Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{c-c}{a+b-b}[/tex]
= 0
Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0-0}{2a-0}[/tex]
= 0
Therefore, DE║BC because slopes of BC and DE are equal.
A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
What is the value of A in the equation shown?
Answer:
is this algebra 1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
you isolate the variable by dividing each side
What is the solution to the system of equations?
y = 1/3x -10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
TELL ME ASAP oliver has 42 hockey cards in his collection,which is 7 times more than juan has.if juan has h hockey cards,what is the value of h?
Answer:
the value of the h is 6
Step-by-step explanation:
6 x 7 = 42
If xy =1 show that dy/dx=-1/x²
If xy = 1, then differentiating both sides with respect to x gives
x dy/dx + y = 0
(use the product rule)
Solve for dy/dx :
dy/dx = -y/x
Solve the starting equation for y and substitute that into the derivative.
xy = 1 → y = 1/x
→ dy/dx = -(1/x)/x = -1/x²
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
I needdddddd helppppppp
Answer:
what is the question
Step-by-step explanation:
The cylindrical part grain silo is 10 meters tall and has a radius of 5 meters.
What is the volume of grain that the cylindrical part of the silo will hold?
50π m³
250π m³
500π m³
750π m³
Answer:
Volume of cylinder = 250πm³
Step-by-step explanation:
Given:
Height h = 10 m
Radius r = 5 m
Find:
Volume
Computation:
Volume of cylinder = πr²h
Volume of cylinder = π(5)²(10)
Volume of cylinder = 250πm³
Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?
Answer:
hi 51.2 is the answer
Step-by-step explanation:have a good day.
The population of California in the year 2025 is approximately 57.96 million.
To calculate the population of California in 2025, we need to use the population growth formula:
Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]
Given:
Population in 1995 = 32 million
Growth rate = 2% = 0.02 (in decimal form)
Number of years = 2025 - 1995 = 30 years
Now, let's calculate the population in 2025:
Population in 2025 = 32 million * (1 + 0.02)³⁰
Population in 2025 ≈ 32 million * (1.02)³⁰
Population in 2025 ≈ 32 million * 1.8114
Population in 2025 ≈ 57.9648 million
Therefore, the population of California in the year 2025 is approximately 57.96 million.
To know more about population:
https://brainly.com/question/15889243
#SPJ2
I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
Find the slope on the graph
Answer:
3/1
Step-by-step explanation:
you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.
Find the value of x and y. Write your answers in simplest form.
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Xander takes a quiz worth 150 points. Each question is worth 30 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answer:
If he missed five questions he can get a zero
Step-by-step explanation:
PLSSSSSSSSSSSSSSSSSSSSSS HELP
Answer:
a + (a + 6b)
2a + 6b
(a + 3b)2