What are the coordinates of the vertex and the equation of the axis of symmetry of
the parabola defined by 'y=(x-4)^2 + 7?

Answers

Answer 1

Answer:

Vertex: (4, 7)

Axis of symmetry: x=4


Related Questions

There are two solutions, for a quadratic equation that represents the relation between distance and
time.
One of the solutions is positive and the other is negative.
If the values are associated with time, then we will choose
A the positive and the negative
solutions.
B the positive solution.
C neither the positive nor the.
D the negative solution.

Answers

Answer:

B. The Positive Solution

Step-by-step explanation:

Because Time is a positive quantity

show the solution 3x+7 ≤5x-9

Answers

1.1     Pull out like factors :

  -2x + 2  =   -2 • (x - 1)

2.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

2.2      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

x = 1

Answer:

[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]

A wholesale list of a watch is $50. A dealer bought a shipment of watches at a discount of 20% and sold the watches at 10% above the whole sale list price. What was the profit on each watch ?

Answers

30 bucks was the profit for each one

Mason is turning 5 years old next Saturday. He has picked sidewalk chalk and a helium balloon to give to each of his friends who come to his party. His dad
has a coupon for $10 off of any purchase over $25 at the party supply store. If sidewalk chalk cost $3.29 and balloons cost $1 each, how much did his dad pay
for the favors for 10 of Mason's friends and 1 of each for Mason as well?
Mason's dad paid $36.19 for the chalk and the balloons
Mason's dad paid $47.19 for the chalk and balloons,
Mason's dad paid $37.19 for the chalk and balloons.
Mason's dad paid $26.19 for the chalk and the balloons.
Tytoth
012
NEXT
SAVE & EXIT
BI
614 PM
10/24/2021

Answers

Answer:

dad paid 37.19

Step-by-step explanation:

Round 19.432 to the nearest whole

Answers

The nearest whole number is 20.

Answer:

19

Step-by-step explanation:

if the number was 19.5 or later up to 20  then the answer would have been 20

but your number was 19.432 which is less then 19.5 so the your answer is 19.

I'm trying to find the explicit form of an equation after performing an integration. I'm a bit rusty.

ln|y| = C - cos(x)

C is an arbitrary constant.

Is it:

y = e^(c-cos(x))

or because it's an arbitrary constant, can it be written:

y = C - e^(cos(x))

Thanks.

Answers

No, it should be written as

[tex]y = Ce^{-\cos x}[/tex]

Provided that y ≠ 0, both solutions

[tex]y = e^{C-\cos(x)}[/tex]

and

[tex]y = Ce^{-\cos(x)}[/tex]

are correct. The other solution you provided,

[tex]y = C - e^{\cos(x)}[/tex]

is not.

The only difference between the "valid" solutions lies in the particular value of the arbitrary constant C.

Suppose y(0) = Y ≠ 0 is given as an initial condition. Then in the first solution,

[tex]Y = e^{C - \cos(0)} \implies \ln|Y| = C - 1 \implies C = \ln|Y| + 1[/tex]

In the second solution,

[tex]Y = C e^{-\cos(0)} \implies Y = Ce^{-1} \implies C = eY[/tex]

But both solutions are the same, since

[tex]y = e^{\ln|Y| + 1 - \cos(x)} = e^{\ln|Y|} e^1 e^{-\cos(x)} = eY e^{-\cos(x)}[/tex]

solve and show steps :

Answers

9514 1404 393

Answer:

  -(5√7 +9√35)/380

Step-by-step explanation:

The denominator is made rational by multiplying numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{\sqrt{7}}{5-9\sqrt{5}}=\dfrac{\sqrt{7}}{5-9\sqrt{5}}\cdot\dfrac{5+9\sqrt{5}}{5+9\sqrt{5}}=\dfrac{5\sqrt{7}+9\sqrt{35}}{5^2-9^2\cdot5}=\boxed{-\dfrac{5\sqrt{7}+9\sqrt{35}}{380}}[/tex]

_____

Additional comment

This process takes advantage of the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

The method is used to eliminate complex numbers and square roots from denominators.

HOW IS THE ANSWER 98 PLS HELP ASAP

Answers

Answer:

The answer is 98, here's how:

Step-by-step explanation:

Lets solve the numerator of the fraction first:

-[5.8 - 3(3.2)] =

-[5.8 - 9.6] =

-[-3.8] = 3.8               (Watch out for the double negative)

Now lets solve for the denominator :

(-0.2)² =

(-0.2)(-0.2) = 0.04

Lets simplify the fraction:

[tex]\frac{3.8}{0.04} = 95\\[/tex]

Let's add the 3 to 95:

95 + 3 = 98

-Chetan K

Step-by-step explanation:

[tex] \frac{ -[5.8 - 3(3.2)] }{{( - 0.2)}^{2} } + 3[/tex]

[tex]\frac{ -[5.8 -9.6] }{0.04 } + 3[/tex]

[tex]\frac{ -( - 3.8)}{0.04} + 3[/tex]

[tex]\frac{3.8}{0.04} + 3[/tex]

[tex] = 95 + 3[/tex]

[tex] = 98[/tex]

(1 point)
7. The students in Mr. Collin's class used a surveyor's measuring device to find the angle from
their location to the top of a building. They also measured their distance from the bottom of the
building. The diagram shows the angle measure and the distance.
Building
To the nearest foot, what is the height of the building?
A. 239 ft
B. 154 ft
C. 67 ft
D. 33 ft

Answers

For this you are using tangent, opposite over adjacent. Tan64°= X/75.The 75 on the bottom means X is being divided by 75. So we multiple each side by 75 to get 75xtan64°= x. when you put that in a calculator you get 153.77 ft. Which is closer to 154, answer B

1,400,000
Would that be 1.4 x 10^5 or 1.4 x 10^6

Answers

Answer:

1.4 x 10^6

Step-by-step explanation:

HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO

Answers

Answer:

-2 3/5, -9/4, 1.2, 7/4

Step-by-step explanation:

First, unmix the mixed numbers.

-9/4 = -2 1/4.

Which is greater?

1/4 vs. 3/5

Answer: 3/5 So...

-2 3/5 would be the least.

Then there would be -2 1/4

Then, it would be 1.2 because 1.2 is smaller than 7/4.

Therefore, this pattern would be the correct answer...

From Least to greatest=

-2 3/5, -9/4, 1.2, 7/4

-kiniwih426

Solve y + 2∕7 < 1∕3.
Question 8 options:

A)

y > 13∕21

B)

y < 13∕21

C)

y < 1∕21

D)

y > –1∕21

Answers

Answer:

the answer is C y<1/21

Step-by-step explanation:

sorry if I did it wrong

Answer:

C) y< 1/21

Step-by-step explanation:

y+ 2/7 < 1/3

Subtract 2/7 from both sides.

y< 1/21


What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
7

Answers

2nd one. Distribution

have $100 in my bank account. I withdraw 10 dollars every week. If variable x represents number of weeks, write an algebraic expression that represents how much money would be in my bank account after x weeks.

Answers

Answer:

x+10=100

Step-by-step explanation:

(100-10)*x
(* multiplied by)

Need help on this math problem

Answers

Answer:

the answer is 7 .......

ie .4^7

Answer:

4^7 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Maximize P=6x+11y using simplex where
4x+y is less than/equal to 8
x+4y is less than/equal to 12
and x is greater than/equal to 0 , y is greater than/equal to 0

Answers

9514 1404 393

Answer:

  (x, y, P) = (4/3, 8/3, 112/3)

Step-by-step explanation:

In standard form, the constraints are all "less than or equal to", the variables are all non-negative, and the objective is maximization. This problem is presented in standard form.

  4x +y ≤ 8

  x +4y ≤ 12

  x ≥ 0; y ≥ 0

maximize P = 6x +11y

__

Now we add the slack variables to make the constraints be "equal to". These have a coefficient of +1, and they, too, are non-negative. Here, we'll use s and t as the slack variables.

  4x +y +s = 8

  x +4y +t = 12

These equations, together with the objective function, are combined in a matrix-like "tableau" in which each row is the set of coefficients in one of the equations. Here, the columns represent x, y, s, t, P and the constants. The equation for the objective function is negated so we're trying to minimize that, as well.

  [tex]\begin{array}{ccccc|c}4&1&1&0&0&8\\1&4&0&1&0&12\\-6&-11&0&0&1&0\end{array}[/tex]

Find the column with the most negative value on the bottom row. (Column 2) Divide the rightmost column by this column and find the smallest quotient. Here, the quotients are 8/1 = 8, and 12/4 = 3. The smallest is 3. This identifies the 4 in column 2, row 2 as the "pivot."

Now, row operations are performed to make the pivot be 1 and other values in the pivot column be zero. This gives a new tableau. For example, the new values in row 1 are ...

  4 -1/4, 1 -4/4, 1 -0/4, 0 -1/4, 0 -0/4, 8 -12/4

The new tableau is ...

  [tex]\begin{array}{ccccc|c}15/4&0&1&-1/4&0&5\\1/4&1&0&1/4&0&3\\-13/4&0&0&11/4&1&33\end{array}[/tex]

Now, the most negative number on the bottom row is in column 1, and the smallest quotient of column 6 and column 1 is in row 1. This makes 15/4 the "pivot". After the required row operations, the next tableau is ...

  [tex]\begin{array}{ccccc|c}1&0&4/15&-1/15&0&4/3\\0&1&-1/15&4/15&0&8/3\\0&0&13/15&38/15&1&112/3\end{array}[/tex]

All values in the last row are non-negative, so we are finished. The rightmost column tells us the values of x, y, P that are the solution to the problem

  (x, y, P) = (4/3, 8/3, 112/3)

__

The graphical solution confirms the Simplex solution.

What is the probability of getting a 6 on the first roll, and a number less than five on the second roll

Answers

Answer:

1/9

Step-by-step explanation:

Probability of getting 6 = 1/6

Probability of getting less than 5 = 4/6 = 2/3

1/6 * 2/3 = 1/9

someone please answer!!

Answers

Answer: x=120 degrees

Step-by-step explanation: Since this triangle is equilateral, each of its angles equals 60 degrees. The line that x is on is equal to 180 degrees, so subtracting 60 from 180 will give you 120 degrees for x.

Answer:

x=180°-60°=120°, bc In an equilateral triangle, the angles are equal and equal to 60°

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

20 3/4

Step-by-step explanation:

21 4/8 or 21.5- 3/4 or .75= 20.75 or 20 3/4

Answer:

look at the photo I have sent

p/2 - 10 = -12 show work

Answers

Answer:

Step-by-step explanation:

What is 80% of 34? I’ve been struggling with percents

Answers

Answer:

27.2

Step-by-step explanation:

34x.80=27.2

Answer:

27.2 is the 80 % of 34, so if 34 is the whole then mutiply by .8

i don't know how to do math lol​

Answers

Answer:

88 I think and if not that then 98 but I'm petty sure it's 88

Step-by-step explanation:

3 apples for $0.59 unit rate

Answers

Answer:

around .20 per apple

Step-by-step explanation:

How long will it take a train to travel 50 km at an average speed of 40m/s? Give your answer in minutes and seconds.

Answers

Answer:

20.8

if i'm wrong i'm rlly rlly sorry!!

Please assist with step by step
63 divided by 4

Answers

15.75 your welcome lol lol lol
Sorry about my sloppy handwriting. Hope this helps!

Product of (8.6×10^2)(3×10^2)in scientific notation

Answers

Answer:

in scientific notation = 2.58 × 10⁵

I hope I helped you^_^

$5400 at 3.6% compounded continuously for 5 years.

Answers

Answer:

A = $6,464.97

Step-by-step explanation:

Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:

Substitute the given values into the Continuous Compounding Formula:

[tex]A = Pe^{r*t}[/tex]

where:

P = principal = $5,400

e ≈ 2.7183 (irrational number)

r = interest rate = 3.6% or 0.036

t = time in years = 5

[tex]A = Pe^{r*t}[/tex]

[tex]A = 5400e^{(0.036*5)}[/tex]

[tex]A = 5400e^{0.18}[/tex]

A = $6,464.97

Therefore, the amount after compounding continuously for 5 years is $6,464.97.

Factor the polynomial completely.
Q(x) = x^2 + 4x + 8

Answers

Answer:

Step-by-step explanation:

x²+4x+8

=x^2+4x+4-(-4)

=(x+2)²-(2 i)²

=(x+2+2i)(x+2-2i)

slope 1/4 y intercept-5

Answers

slope int form: y=1/4x-5

Leila Runs at 12 miles per hour. Find the Number of Miles she can travel if she runes for t hours

Answers

Answer:

y=12t

Step-by-step explanation:

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