Identify the axis of symmetry of the parabola.

Answer:

√1 is a rational number as it is 1. The other three options are irrational.

Answer:

                                                       1 4 6 10

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The given function is [tex]y=x^2+7[/tex].

Minimum or maximum value:

At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.

dy/dx=0

[tex]\Rightarrow 18x=0\cdots(i)[/tex]

[tex]\Rightarrow x=0[/tex]

Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,

[tex]\frac {d^2y}{dx^2}=18[/tex]

As [tex]\frac {d^2y}{dx^2} >0[/tex] for all value of x, so x=0 is the point corresponding to minima.

Put x=0 in the given function to get the minimum value.

[tex]y_{min}=9(0^2)+7[/tex]

[tex]y_{min}=7[/tex]

Domain and range:

The function defined for all the values of the independent variable, x.

So, the domain is [tex](-\infty, \infty)[/tex].

The range of the function is the possible value of y.

The minimum value, for x=0, is y=7.

The maximum value, as [tex]x\rightarrow \infty \;or\; -\infty, y\rightarrow \infty[/tex].

Hence the range of the function is [tex][7,\infty)[/tex].

The value of x for which the function is increasing and decreasing:

If the slope of the function is negative than the function is decreasing, so

Then, from equation (i), the value of x for which dy/dx<0,

18x<0

[tex]\Rightarrow x<0[/tex]

Hence, the function is decreasing for [tex]x\in {-\infty, 0)[/tex] .

While if the slope of the function is positive than the function is increasing, so

Then, from equation (i), the value of x for which dy/dx<0,

18x>0

[tex]\Rightarrow x>0[/tex]

Hence, the function is increasing for [tex]x\in {0,\infty)[/tex]

Answer:

20,000

Step-by-step explanation:

780 is the answer. Hope this helps :)

Answer:the answer is b :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:50 is the right answer!!

Answer: The last one.... -9

hope this helped :>

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

Answer: The congruent corresponding parts:

∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

Step-by-step explanation:

We know that if two triangles area congruent then the corresponding parts area congruent.

Given: ΔPQR ≅ ΔTSR

Then, ∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

Hence, the congruent corresponding parts:

∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

The corresponding parts of a triangle are parts that have the same measurement.

The corresponding parts are: P & T, Q & S and R & R

The given parameter is:

[tex]\mathbf{\triangle pqr \cong \triangle tsr}[/tex]

The above congruence equation means that:

[tex]\mathbf{\angle p \cong \angle t}[/tex]

[tex]\mathbf{\angle q \cong \angle s}[/tex]

[tex]\mathbf{\angle r \cong \angle r}[/tex]

Hence, the corresponding parts are:

P & T, Q & S and R & R

The above highlight means that:

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Answer: 34.78 gallon

Step-by-step explanation:

Exponential equation for decay:

[tex]A=P(1-r)^t[/tex] , where p = initial amount, r= rate of decay , t= taime

As per given,

r= 8% = 0.08

For days 1 , i.e. at t= 0 , P= 32 gallons

[tex]1=32(1-0.08)^t\\\\\Rightarrow\ \dfrac{1}{32}=(1-0.08)^t \\\\\Rightarrow\ \ln \left(\frac{1}{32}\right)=t\log (0.92)\\\\\Rightarrow\ t=-\frac{5\ln \left(2\right)}{\ln \left(0.92\right)}=41.5\approx42[/tex]

Total water = [tex]\dfrac{a(1-r^n)}{1-r}=\dfrac{32(1-0.08^{42})}{1-0.08}=34.782[/tex]

hence, the the total number of gallons of water that leaked from the tank = 34.78 gallon approx.

Answer: the answer is d/f+3

sorry i couldnt find my work for this problem but i hope it helps !

An equation is formed of two equal expressions. When in the given equation the value fo b is d/(f+3).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

fb + 3b = d

Take b as a common term from both the terms on the left side of the equation,

b(f + 3) = d

Divide both the sides of the equation by (f+3),

b(f + 3)/(f+3) = d/(f+3)

Simplify,

b = d/(f+3)

Hence, when in the given equation the value fo b is d/(f+3).

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Answer:

#5. 17, #6. 22, #7. 14, and #8. 13

Step-by-step explanation:

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Answer:

D

Explanition:

Answer:

B(-3, -3)

Step-by-step explanation:

If a point O(x, y) divides line segment XY in the ratio of n:m and the endpoints of the segment are [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given that A(6, -6) and C(-6, 2). Pont B is on AC such that:

AB = (3/4)AC

AB/AC = 3/4

Therefore point B divides the line AC in the ratio of 3:1. Let point B be at (x, y), therefore:

[tex]x=\frac{3}{3+1}(-6-6)+6=\frac{3}{4}(-12)+6=-9+6=-3\\ \\y=x=\frac{3}{3+1}(-2-(-6))-6=\frac{3}{4}(4)-6=3-6=-3[/tex]

Therefore the location of B is at (-3, -3)

Answer: (-3, -3)

Step-by-step explanation: Khan academy

Answer:

162 is greater than 130.. if that's what your are talking about..

Answer:

82 degrees

Step-by-step explanation:

if lines m and n are parallel then the two angles are equivalent. The angles on the opposite side are 98 degrees.

Answer:

-502.5 − 115 = -617.5

The submarine’s elevation after its final dive is -617.5 feet, or 617.5 feet below sea level.

Step-by-step explanation:

Plato answer

Answer:

63 1/4

Step-by-step explanation:

I did the edmentum

Answer:

Step-by-step explanation:

Answer:

The distance between the bird houses are 10.26 feet

Step-by-step explanation:

The distance between the birdhouses is 10.26 feet.

A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.

Given, Penelope has a birdhouse that is 4 and 9/10 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. thus,

Distance between garage roof and birdhouse = 4.9 feet

Distance between garage roof and second birdhouse  = 5.36 feet

Since these birdhouses are in the opposite directions of the garage roof

Hence the total distance between them = 4.9 + 5.36

the total distance between birdhouses is 10.26 feet

Therefore, the Two birdhouses are 10.26 feet apart from each other.

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Answer:

Both of them work

Step-by-step explanation:

by multiplying the first equation by 2 it creates the same coefficient in front of "p" for both equations. same for the second equation and "q".

Both strategies works since we can easily eliminate a variable from both equations.

Given the simultaneous equation solved by Tyler

4p + 2q = 62

8p - q = 59

In order for him to eliminate a variable to solve the system of equations, he must ensure that the coeffiecient of the variable to be eliminated are equations in both expressions. To do that;

8p + 4g = 124

8p - q = 59

Subtract

4q + q = 124 + 59

5q = 183

The second required strategy is  to Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62, to have:

16p-2q=118

4p + 2q = 62

Adding up

16p + 4p = 118 + 62

20p = 180

p = 9

We can see that both strategies works since we can easily eliminate a variable from both equations.

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Answer:

$606

Step-by-step explanation:

For the first 40 hours, she was making $12. With this, we can do 12x40, which is 480$. We can store that in a safe space for later access. Afterwards, since the problem says that "after 40 hours she earns time and a half for her work" we can assume she gets 1.5x her pay after 40 hours, which is $18 (We can get this by 12 / 2 = 6. Then do 12 + 6 = 18). Then we can do 18x7 because she worked 7 hours over 40. With that, we get 126$. Now we can do 480$ + 126$ = 606$. So, she earned 606$.

Answer:

A

Step-by-step explanation:

Answer:

Transversal line

Step-by-step explanation:

That is a picture of a Transversal line, a Transversal line intersects 2 or more parallel lines.

Answer:

8/7 or  1 1/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation: