Answers
Answer:
vertex = (7, - 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = x² - 14x + 47
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 14x
y = x² + 2(- 7)x + 49 - 49 + 47
= (x - 7)² - 2 ← in vertex form
with vertex = (7, - 2 )
Related Questions
Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3
Answers
Work Shown:
[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]
Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.
The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]
Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?
Answers
Answer:
$21.00
Step 1- Solve 40% of $15.00
=$6.00
Step 2- Add the 40% to the discount amount
=$6.00+$15.00=$21.00
How many real solutions does the function shown on the graph have?
no real solutions
one real solution
two real solutions
cannot be determined
Answers
Answer:
you can find the answer in this link bit.3ckFc
Step-by-step explanation:
no real solution ig
6 of 10
Type the expression that results from the following series of
steps:
Start with k, subtract 2, multiply by 6, then add 8.
Answers
Step step :
k k - 2k - 2 × 6 k - 2 × 6 + 8-HayabusaBrainly
WILL GIVE BRAINLIEST !!!
Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answers
Answer: 500k
Step-by-step explanation:
Answer:
500K Step sis got 500k because she got stuck in the washer and couldnt get out
Step-by-step explanation:
Step sis got stuck
Simplify:
M = 4/9 + 11/72
N = 8/15 - 1/3
O = 8/7 + 9/35
P = 3 - 2/10
Q = 11/15 + 1/6
R = 3/4 - 7/10
Answers
Step-by-step explanation:
M = 4/9 + 11/72
M = (4 x 8) / (9 x 8) + 11/72
M = 32/72 + 11/72
M = 43/72
N = 8/15 - 1/3
N = 8/15 - (1 x 5) / (3 x 5)
N = 8/15 - 5/15
N = 3/15
N = (3 x 1) / (3 x 5)
N = 1/5
O = 8/7 + 9/35
O = (8 x 5) / (7 x 5) + 9/35
O = 40/35 + 9/35
O = 49/35
O = (7 x 7) / (7 x 5)
O = 7/5
P = 3 - 2/10
P = (3 x 10) / (1 x 10) - 2/10
P = 30/10 - 2/10
P = 28/10
P = (2 x 14) / (2 x 5)
P = 14/5
Q = 11/15 + 1/6
Q = (11 x 2) / (15 x 2) + (1 x 5) / (6 x 5)
Q = 22/30 + 5/30
Q = 27/30
Q = (3 x 9) / (3 x 10)
Q = 9/10
R = 3/4 - 7/10
R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)
R = 15/20 - 14/20
R = 1/20.
PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.
Answers
Answer:
Step-by-step explanation:
A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = IFind x. please help me!!
Answers
Answer:
I want to say B.
Step-by-step explanation:
Please Help I will give 82 Points and Brainliest
What is the value of 2m² + 12 when m = 3?
A. 24
B. 30
C. 37
D. 38
Answers
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
So we subtitute 3 to any "m" in your problem so,
2m^2+12
2(3)^2+12
2(9)+12
18+12
30
So, B is the correct answer!
Help help help help help me please
Answers
Answer:
b. y < -9
Step-by-step explanation:
This is because > or < have a dashed boundary line and =< and >= have non-dashed lines.
Gabriel was out at a restaurant for dinner when the bill came. His dinner came to $20. After adding in a tip, before tax, he paid $23. Find the percent tip.
Answers
Answer:
Step-by-step explanation: I think it is three percent
Answer: 15%
i attached a picture below with an explanation
four w plus ten equals negative w
Answers
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
4w+10=-w10=-5w-2=wHelppp plzzz I will mark brainliestttt
Answers
Answer:
therefore the correct option is Y-⅓-¾(×-4)
Step-by-step explanation:
Equal of a line
Y-⅓=m(×-×1)
Y-⅓=¾(×-4
Answer:
y -1/3 = 3/4( x-4)
Step-by-step explanation:
We can use the point slope form of an equation of a line
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -1/3 = 3/4( x-4)
evaluate 16/5 + -7/8
Answers
Answer:
93/40 or 2.325
Step-by-step explanation:
16/5 + (-7/8) =
16/5 - 7/8 =
(128 - 35)/40 =
93/40 or 2.325
desde que empezó la cuarentena, el consumo de energía eléctrica en mi casa se ha incrementado. Es porque estamos todos en casa sin salir, usando la computadora, televisión y otros artefactos a la vez. El último recibo nos vino por julio y agosto, ya que no pudimos salir a pagar por la cuarentena, pero el recibo se extravió. Solo alcanzo a recordar que el monto total era de 150 soles y que en julio el consumo fue 20 soles menos que en agosto. ¿Cuánto fue nuestro consumo en julio y agosto? Verifica tu respuesta.
Answers
Answer:
Julio: 65 soles
Agosto: 85 soles
Step-by-step explanation:
julio: x
agosto: x + 20
x + x + 20 = 150
2x + 20 = 150
2x = 130 x = 65
julio: x = 65
agosto: x + 20 = 85
verificacion: 65 + 85 = 150
julio [65] = 20 menos que agosto [85]
Answer:
Julio: 65 soles
Agosto: 85 soles
The consumption in July was 65 soles and the consumption in August was 85 soles.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's call the amount of consumption in July "C1" and the amount of consumption in August "C2".
We know that:
C1 + C2 = 150 (the total consumption for both months)
C2 = C1 + 20 (August consumption was 20 soles more than July)
We can substitute the second equation into the first equation to get:
C1 + (C1 + 20) = 150
Simplifying this equation, we get:
2C1 + 20 = 150
Subtracting 20 from both sides, we get:
2C1 = 130
Dividing both sides by 2, we get:
C1 = 65
So the consumption in July was 65 soles.
Using the second equation, we can find the consumption in August:
C2 = C1 + 20 = 65 + 20 = 85
So the consumption in August was 85 soles.
We can check that these values are correct by verifying that they add up to the total consumption of 150 soles:
65 + 85 = 150
Therefore,
The consumption in July was 65 soles and the consumption in August was 85 soles.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
The complete question:
Since the quarantine began, the consumption of electrical energy in my house has increased. It is because we are all at home without going out, using the computer, television and other devices at the same time. The last receipt came to us in July and August, since we could not go out to pay for the quarantine, but the receipt was lost. I can only remember that the total amount was 150 soles and that in July consumption was 20 soles less than in August. How much was our consumption in July and August? Check your answer.
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
Answers
I NEED A ANSWER ASAP!!
A dog park is 100 yards long and the town wants to install water bowls for their beloved pups. If the town wants a water bowl at each end and every 20 yards i
between, how many water bowls need to be installed?
Answers
Answer:
5
Step-by-step explanation:
5*20=100
Maria’s monthly bank statement showed the following deposits and withdrawals:
-$25.20, $52.75, -$22.04, -$8.50, $94.11
If Maria’s balance in the account was $47.86 at the beginning of the month, what was the account balance at the end of the month?
Please do a step by step explanation
Answers
$22.66 + $52.75 = $75.41
$75.41 - $22.04 = $53.37
$53.37 - $8.50 = $44.87
$44.87 + $94.11 = $138.98
answer is $138.98
Please Help meeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
6×4 = 24 m^3
..............................
Answer:
24 units
Step-by-step explanation:
because 6x4=24 units
#3) Find the measure of arc N).
Answers
Answer:
Arc NJ is 65°
Step-by-step explanation:
An entire circle measures 360°
Therefore, add all the given dimensions and subtract the sum to 360
> 150+50+50+45 = 295
> 360-295 = 65
Therefore, the measurement of arc NJ is 65
11/4 x 7/3 as a fraction in simplest form
Answers
Answer:
77/12
Step-by-step explanation:
11×7/ 4×3
77/4×3
=77/12
If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step
Answers
Answer:
There are 90 inches in 2.5 yards.
Step-by-step explanation:
12 inches per foot and 3 feet per yard means 36 inches per yard.
[tex]12*3=36[/tex]
Now, just multiply 2.5 yards by 36 inches/yard.
[tex]2.5*36=90[/tex]
There are 90 inches in 2.5 yards.
Help me please what's the scale factor of the dilation simplified!!!
Answers
Answer:
large/small = 4small/large = 1/4Step-by-step explanation:
The small square extends from x=1 to x=4, so its side length is 4-1 = 3.
The large square extends from x=4 to x=16, so its side length is 16-4 = 12.
The scale factor is ...
large/small = 12/3 = 4
or
small/large = 3/12 = 1/4
We don't know which way you're scaling, so choose the factor appropriate to your question.
physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.
(a) If the book ends up at its initial position, what is its displacement?
(b) What is the distance traveled?
Answers
Step-by-step explanation:
(a) 0. no displacement.
(b) rectangle perimeter :
2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m
Choose the statement that correctly compares their unit rates. A. Tyrone's unit rate is equal to John's unit rate. B. Tyrone's unit rate is 2 more miles per hour than John's unit rate. C. Tyrone's unit rate is 1 more mile per hour than John's unit rate. D. Tyrone's unit rate is 1 fewer mile per hour than John's unit rate.
Answers
Answer:
Step-by-step explanation:
The two lines graphed below are not parallel. How many solutions are there to the system of equations? 5 3 O A. Two O B. Zero O C. Infinitely many O D.One
pls help ill give brainliest to whoever gets it right
Answers
Answer:
D
Step-by-step explanation:
Solve for b
Is it square root 39?
Or
Square root 89?
Answers
Answer:39
Step-by-step explanation:
Answer:
[tex]\sqrt{39}[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]b^2+5^2=8^2[/tex]
We can rearrange this equation to find b:
[tex]b^2=8^2-5^2\\\\b^2=64-25=39\\\\\sqrt{b^2}=\sqrt{39}\\\\b=\sqrt{39}[/tex]
A linear function has the same y-intercept as x + 4y = 20 and its graph contains the
point (7, 7). Find the y-intercept of the linear function.
y-intercept: (0,___)
Answers
Answer:
(0,5)
Step-by-step explanation:
x + 4y = 20
4y = -x + 20
y = -1/4x + 5
The y - intercept of the line is 5
(0,5)
-Chetan K
expess 756,000,000 in a scientific notation
Answers
Step-by-step explanation:
756000000 = 7.56×10⁸.
hope this helps you.
Answer:
7.56 x10^8
.......................................
Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
–1.5
–0.5
0.5
1.5
Answers
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
The slope of the line through these two data points is 1.5.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
x represents the time and y represents the temperature in degrees Fahrenheit.
temperature of –2°F at 8 a.m. Hence:
-2 = 8m + b (1)
it was 4°F at 12:00 p.m. Hence:
4 = 12m + b (2)
Solving equations 1 and 2 simultaneously gives:
m = 1.5, b = -14
The slope of the line through these two data points is 1.5.
Find out more on linear equation at: https://brainly.com/question/14323743