Wait a minute - sorry I misunderstood the question lol
The equation of the parabola is y = -1/9(x- 1)^2 - 6.
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form.
It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;
y=a(x-h)^2 + k
Since the vertex is at (1, -6), we can write the equation as
y = a(x- 1)^2 - 6
Also, since the parabola passes through (4, -7), we can find the value for a,
-7 = a(4 - 1)^2 - 6
-7 = 9a - 6
a = -1/9
Hence, the equation of the parabola is
y = -1/9(x- 1)^2 - 6
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if b is the midpoint of ac and ab is 39 what is bc
Answer:
Step-by-step explanation:
a———-b———c^39. ^?bc=39 segment addition postulateAnswer:
The answer is BC = 39.
Step-by-step explanation:
If B is the midpoint, then AC would be divided into two. AB = 39 and AB is half of AC so BC = 39 as well.
Convert the following equation into SLOPE-INTERCEPT form: y-5=-2(x+4)
Answer: y=-2x-3
Step-by-step explanation:
You would first do -2•x and -2•4 then get y-5=-2x-8 then you try to isolate y by adding 5 to both sides giving you y=-2x-3
A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240
inches per minute.
What is the distance, in inches, between the particle and the fixed point?
Answer:
15 inches
Step-by-step explanation:
We are given;
Linear velocity; V = 240 in/min
ω = 16 rev/min
Now, in circular motion, formula for linear velocity is;
V = ωr
Where ω is angular velocity and r is radius which is the distance between the object and the fixed point.
Thus;
240 = 16r
r = 240/16
r = 15 inches
What is the value of the expression q + 4 when q = 13?
Answer:
17
Step-by-step explanation:
13+4=17 you just have to add both of the answers together in order to get the total answer of seventeen
B. Find the slope and y-intercept of the line with this equation.
2. y = -2x - 1
I WILL GIVE BRAINLIEST
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = - 2x - 1
Comparing with the general equation above
Slope = - 2
Y - intercept = - 1
Hope this helps you
What is x2 + 5x - 24 -x2 - 4x + 9
Let's simplify step-by-step.
x2+5x−24−x2−4x+9
=x2+5x+−24+−x2+−4x+9
Combine Like Terms:
=x2+5x+−24+−x2+−4x+9
=(x2+−x2)+(5x+−4x)+(−24+9)
=x+−15
Answer:
x-15
please help me answer this question
Answer:
the answer is 7-1
Step-by-step explanation:
Questions 7 and 8 multiple choice
Problem 7
Answer: Choice A) 7--------------------------------------
Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
Answer: D) 40--------------------------------------
Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
hi can anyone help me with exercise 3 and 4 please
Answer:
3: add the numbers and if they add up to 180 its a triangle
4 add the 2 numbers then subtract it by 180 to get your 3rd number
Step-by-step explanation:
y-2=5x whats the slope and point on line
H E L P ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
Answer:
a=8 and b= -6
Step-by-step explanation:
2. How is volume calculated?
A. Sup of mass and density
B.mass divided by density
C.mass multiplied by density
D. Difference of mass and density
Answer:
A
Step-by-step explanation:
Mrs. diaz is thinking of buying an annual pass to Disneyland.
?
Step-by-step explanation:
what is the question that you are asking
Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow it as soon as there are four pay periods per month
Answer:
The monthly cash inflow is $273.6
Step-by-step explanation:
It is given that hourly wage is $18 and his net pay is 72% of his earnings.
First, calculate the 72% of $18.
72% of his earnings is [tex]\$18\times \frac{ 72}{100}= \$12.96[/tex].
Tyrone works 40 hours per week .
The number of working hours in a month is: [tex]40\times4=160 \text{ hours}[/tex]
For 1 hour is he was getting $12.96.
For 160 hours he will get: [tex]160\times 12.96=\$2073.6[/tex]
His total monthly cash inflow is $2073.6 - $1,800=$273.6
Hence, the monthly cash inflow is $273.6
Enter the value of x that makes the given equation true
3(5 - x) = 7x - 2
Answer:
[tex]\boxed {x = \frac{17}{10}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(5 - x) = 7x - 2[/tex]
-Use Distributive Property:
[tex]3(5 - x) = 7x - 2[/tex]
[tex]15 - 3x = 7x - 2[/tex]
-Take [tex]7x[/tex] and subtract it from [tex]-3x[/tex]:
[tex]15 - 3x - 7x = 7x - 7x - 2[/tex]
[tex]15 - 10x = -2[/tex]
-Subtract [tex]15[/tex] to both sides:
[tex]15 - 15 - 10x = -2 - 15[/tex]
[tex]-10x = -17[/tex]
-Divide bot sides by [tex]-10[/tex]:
[tex]\frac{-10x}{-10} = \frac{-17}{-10}[/tex]
[tex]\boxed {x = \frac{17}{10}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{17}{10}[/tex].
64 ounces is equivalent to pints
What does it mean to be "in the black"
Answer:
to be unaware
Step-by-step explanation:
A pet supply store is having a 25% off sale.
Which equation represents the sales price, P, for a purchase if n is the original price?
Answer:
P=.75n
Step-by-step explanation:
P=(1-discount)n
=(1-.25)n
=.75n
A special type of literal equation is a___________, which describes an important mathematical relationship.
Answer: Formula
Step-by-step explanation: Formulas are special types of literal equations. ... This means that you get the variable you are solving for alone on one side of the equation.
Hope this helped because I had the same question.
-3/2 divided by 1/4
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
When you divide fractions, you multiply the inverse.
So, -3/2 divided by 1/4 is -3/2 x 4/1 = -12/2
Simplified = -6
Hope this helps:)
The head track coach for PCTVS has a big track meet coming up. He knows that his biggest rival is Clifton and the entire track meet will come down to one event, the 100 meter relay race. The relay race is comprised of 4 runners from each team who run 100 meters each. The track coach has been working on his projections for the race and knows it will come down to the last leg of the race. He is having difficulty with his algebra skills, so he has asked the Honors classes at PCTI to help him make a projection for the race. He knows that on the last leg of the race, his runner will be leading the race. PCTVS's runner runs at a speed of 10.1 meters per second. Clifton's runner runs at a rate of 10.9 meters per second and will start the last leg of the race 0.8 seconds behind the runner from PCTVS. Will PCTVS win the relay race?
Answer:
ookkkkk
Step-by-step explanation: i have no clue about what u saying
Answer:
Which excerpt from "The Catch” appeals to readers’ sense of hearing to help them imagine a scene?
His legs and thigh muscles ached as he trudged through the final swampland.
He tried to thrust off Rohan’s shoulders to push himself over in as though they were in a game of leap frog.
Just then, an old elf released a great eagle from its shackles, a signal for the race to start. When it squawked to freedom, the race began.
The gentle foothills ended quickly, and the runners made a steep scramble to the top of a cliff, followed by a daylong run up across uneven terrain of hard, coarse-grained rock.
Step-by-step explanation:
To make purple paint you
must mix 2 parts blue with 5
parts red. If I use 13 cups of
blue, how much red would I
need for the same shade of
purple?
Answer:
you need 32.5 cups of red for the same shade of purple
Step-by-step explanation:
2:5
13:32.5
Answer:
32.5 cups of red
Step-by-step explanation:
Lets take it step-by-step.
So to make purple paint you mix 2 parts of blue and 5 parts of red. So if you use 13 cups of blue you need to use 32.5 cups of red because...
13 divided by 2 = 6 1/2, so you would have to multiply 5 x 6 1/2 which is 32.5
Next time you come across a problem like this take the large number you have Ex. 13, and divide it by the smaller number you know Ex. 2, and then multiply the number that you've gotten by dividing Ex. 6 1/2, with the other small number Ex. 5, and then you have your answer.
If you need any more help let me know :)
The difference of x and 21 is less than 35
x=55 or less
it is 55 or less bacause if it where 56 it would equal 35 and they want less then 35.
Easy question
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth.
A) 25.36 feet
B) 27.98 feet (NOT correct)
C) 100.22 feet
D) 128.67 feet (NOT correct)
Answer:
It is D 128.67
Solution:
Opposite=60
Angle=25degrees
Adjacent=?
Hypotenuse=?
We need to solve for the adjacent so don't worry about hypotenuse value.
Equation to solve for Adj.
tan(x)=Op./Hyp.
tan(25)=60/adj.
You then flip it
Adj.=60/tan(25)
Adj.=60/0.46630765815
Adj.=128.67 feet
Whallah!
Ask any questions that you have in the comments!
Answer:
D 128.67
Step-by-step explanation:
took the test and got it right. 100% correct
3x - 2 = -8
What is x ?
Answer:
one
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
3x - 2 = -8
+2
3x = -6
x = -2
3g-2x=-2135
x=2g+60
Solve for g
Answer:
x = -3970, g = 2015
Step-by-step explanation:
Solve this system of linear equations by substitution: substitute 2g + 60 for x in the first equation.
Then we have:
3g - 2(2g + 60) = -2135
Performing the indicated multiplication, we get:
3g - 4g - 120 = -2135, or
-g = -2015
Then g = 2015. Then x = 2(-2015) + 60, or x = -3970
The solution is x = -3970, g = 2015
Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter or 32 cm. What is the length of each side?
cm
(D) A square has an area of 144 m². What is the length of each side?
Answer:
A) 8cm
B) 12cm
Step-by-step explanation:
A) Perimeter = 4 × L
where L is the length of the sides
32 = 4 × L
32/4 = L
L = 8cm
B) Area = L^2
144 = L^2
L = square root of 144
L = 12cm
a)
The length of each side is 8 cm.
d)
The length of each side is 12 m.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The perimeter of the square = 32 cm
Area of the square = 144 m²
Now,
Perimeter = 32 cm
4 Side = 32 cm
Side = 32 /4
Side = 8 cm
Area = 144 m²
Side² = 144
Side = 12 m
Thus,
The length of the side is 8 cm.
The length of the side is 12 m.
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Clay can run one lap around the track in a 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?
Step by Step Solution: to equal 4.25000
More Icon
STEP
1
:
17
Simplify ——
1
Equation at the end of step
1
:
17
—— ÷ 4
1
STEP
2
:
17
Simplify ——
1
Equation at the end of step
2
:
17
——
4
STEP
3
:
17
Simplify ——
4
Final result :
17
—— = 4.25000
4
Answer:
1h 22m
Step-by-step explanation:
Because 1/4 of an hour is 15m and 15X5=75 or 1h and 15m
then 1/3 of a lap would just be 33% of 15m which is 6.6m or round that up to 7 so 1h and 15m + 7m= 1h and 22m
hope that helped.
What is the value of x?
Answer:
I think x might equal 25
Step-by-step explanation:
Classify the number: -17.5 *
O Irrational
O Rational
Rational, Integer
O Rational, Integer, Whole
Answer:
I think it is either c or d
hopefully this helps