Please hurry will mark brainliest if you answer correctly

Step-by-step explanation:

I am not sure, what is the level of math for you currently.

do you do differentiation and derivatives already ?

because that is how I find "extreme points" and "turning points" of a function right away.

the vertex is the turning point for a quadratic parabola.

that means the point where the slope (= the first derivative) of the function is 0.

and that is also where the axis of symmetry is.

8x - 8 = 0

8x = 8

x = 1 (axis of symmetry).

y = 4×1² - 8×1 = 4 - 8 = -4

so, the vertex is (1, -4)

in case you don't understand derivatives yet, there is a shortcut for this for quadratic equations (fyi - in fact, the generic result of the first derivative) :

y = ax² + bx + c

the x value for the axis is then

x = -b/(2a)

in our case

a = 4

b = -8

x = - -8/8 = 8/8 = 1

and then y is calculated as above.

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]

Answer:

Step-by-step explanation:

21.

4(x + 7) - 2x

4x + 28 - 2x

2x + 28

answer: 2x + 28

22.

8(a + b) + 5(2a - 5b)

8a + 8b + 10a - 25b

18a - 17b

answer: 18a - 17b

-------------------------------------

Jhon's solution is wrong

1. first mistake

when you see this

10^5/10^4

the right solution is 10^(5 - 4) = 10^1 or just 10

2. second mistake

6.4/7.2 he inverted the fraction which is wrong

you can only invert the fraction when the power is negative

----------------------------------------------------------

now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10

or 0.9 x 10^1

or 8.9

Answer:

2%

Step-by-step explanation:

Answer:

i have no clue

Step-by-step explanation:

but you can look it up on brainly

Answer:

The answer is 37.68 or 37.7

Step-by-step explanation:

What you have to do first is find the diameter. So you have to multiply the radius (r) by 2 to get the diameter. 6 times 2 is 12. After that you, will multiply 12 by pi, or 3.14 to get 37.68

Answer:

B. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

...................................................................................................................................................

1,0 should be the correct answer

Answer:

B. (1, 0)

Step-by-step explanation:

The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

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Answer:

360

Step-by-step explanation:

6!/(6-4)!

Answer:

Months that start with the letter "J"

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the square root of 16 is 4. (4x itself is 16)

out of the options, that is the only one that has a whole number as the square root.

Answer:

a - 145

b - 35

c - 145

d - 70

e - 70

f - 110

g - 55

h - 125

i - 55

j - 50

k - 50

l - 130

m - 50

n - 80

o - 50

p - 23

q - 89

r - 68

s - 157

t - 112

u - 48

v - 132

w - 132

x - 48

y - 48

z - 132

A - 48

B - 94

C - 86

D - 94

E - 47

F - 133

Answer:

Y=76x

Step-by-step explanation:

if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.

Answer:

Step-by-step explanation:

The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them

(380 - 228) / (5 - 3) = 152/2 = 76

Not all problems work out this nicely.

The answer is

y = 76x

In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.

Answer:

0.5236 radians or 30 degrees

Step-by-step explanation:

We want to find the angle based on the opposite side and the hypotenuse.  Therefore, we need to use the inverse sine function:

Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]

Simplifying the function, we get:

Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]

Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.

Step-by-step explanation:

sin θ = 5cm/10cm

sin θ = ½

sin θ = sin 30°

therefore, θ = 30°.

hope this helps you.

Answer:8

Step-by-step explanation:

Answer:

down - up +

Step-by-step explanation:

Answer:

Commercial banks are funded through Customer deposits as well as with the fees charged against their services provided to customers. The Banks provide many services like funding to customers and many form loans, they also deposit their money.

Step-by-step explanation:

this is the correct answer happy

Answer:

CUSTOMER DEPOSITS

Step-by-step explanation:

CORRECT VIA EDMENTUM 2022

Answer:

£2578.8

Step-by-step explanation:

49×12.80= £627.2

if 49 of the people are under 16, then the rest are 16 and above

so, 155-49 = 106

number of students at 16 and above are 106

then, 106× £18.60 = £2578.8.

Hybrid cars have lower operational cost and reduce Green House Gases

GHG when journeys are made on a frequent basis.

Reasons:

The given parameters are;

The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds

Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.

Amount of GHG produced per year by cars A = 4.4 tons

4.4 US tons = 8,800 lbs

Amount of GHG produced per year by cars A = 8.8 tons

8.8 US tons = 17,600 lbs

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]

Cost of gasoline consumed per year by car A per year is therefore;

[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]

Cost of gasoline consumed per year by car B per year is therefore;

[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52

The amount saved annually by car A compared to car B is therefore;

Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76

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Step-by-step explanation:

we have the data set given below here and using it, we want to find the sample mean X. Bar, the sample standard deviation S. And constructed 99% confidence interval for the population we knew, assuming the population is normally distributed. So since we have this data we can find expire and s using the appropriate definitions expire, is that some of the data divided by n 2.353 and s. Is the square root of the sum of deviations of the mean square divided by n minus one. In this case 1.3 Now with X. Bar and sample standard deviation S, we can use a student's t distribution to construct this confidence interval. So we can identify the appropriate T score. So for the degree of freedom and minus one equals 14 and critical values um providing probability 140.99 for the confidence interval,  to identify T C equals 2.977 Now, with this T. C, we can identify the margin of error E, which is given by this formula plugging in our T C. S and N. We obtain E equals 0.572 And now plugging into our confidence interval formula, which is that new falls between a sample mean minus C, and sampling plus E gives us our confidence interval. That new is between 1.781 and 2.9 to 5 with 99% confidence.

Answer:

Option 4

Step-by-step explanation:

[tex]2(a+6)[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2+6)=2(8)=16[/tex]

-------------------------------

Check first option:

[tex]4a+8[/tex]

Substitute [tex]a=2[/tex]:

[tex]4(2)+8=8+8=16[/tex]

Since 16 is not greater than 16, the first option is incorrect.

-------------------------------------------------------------------------------------

Check second option:

[tex]2a+a^2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+2^{2} =4+4=8[/tex]

Since 8 is not greater than 16, the second option is incorrect.

-------------------------------------------------------------------------------------

Check third option:

[tex]2a+12[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+12=4+12=16[/tex]

Since 16 is not greater than 16, the third option is incorrect.

-------------------------------------------------------------------------------------

Check fourth option:

[tex]a^4+2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2^4+2=16+2=18[/tex]

Since 18 is greater than 16, the fourth option is correct.

Answer:

Step-by-step explanation:

Slope- intercept form:

Given points:

The slope is:

Use point (2, 4) to find the value of the y-intercept:

Answer:

If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.

Step-by-step explanation:

240 + 40x = 600

- 240           -240

40x = 360

40x/40 = 360/40

x = 9 students

It will take the ball 4.0625secs to stay in the air

The maximum height of the ball is 264.0625m

Given the function representing the height reached by the golf expressed as;

h(t) = -16t^2 + 130t

The velocity function is expressed as:

v(t) = -32t + 130

At maximum height, the velocity of the ball will be zero, i.e v(t) = 0

0 = -32t + 130

32t = 130

t = 130/32

t = 4.0625

Hence it will take the ball 4.0625secs to stay in the air

b) Substitute t = 4.0625 into the height function to have:

h(t) = -16t^2 + 130t

h(t) = -16(4.0625)^2 + 130(4.0625)

h(4.0625) = -264.0625 + 528.125

h(t) = 264.0625m

Hence the maximum height of the ball is 264.0625m

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Answer:

Mark has 12 quarters and 6 dimes.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

x + 100 = 4x + 49

100 - 49 = 3x

3x = 51

x = 17

Answer:

21ft^2

Step-by-step explanation:

A=LW

A= 3ft x 7ft

A=21ft^2

Answer: 5:30

Step-by-step explanation: there are 5 apples and 30 total fruits.

Answer:

5:30 or simplified 1:6

Step-by-step explanation:

There are 30 fruits including the apples, and the apples only make up 5 of the fruits.

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

The word EVERGREEN can be arranged in the following manner.

The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.

The letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.

But letter 'E', 'R' are repeating 4 times and 2 times respectively.

Thus, total arrangements becomes 9!/(4!×2!) =  7560.

As, first and last letter are fixed for R and g respectively.

Thus the total positions left are 7! with  'E', 'R' are repeating 4 times and 2 times respectively.

Thus, total arrangements becomes 7!/(4!×2!) =  105.

The total combination for arrangement is 7560.

But when all 4 E's are kept together its gives 4! = 24.

Therefore, the total combination becomes 7560×120 = 181440.

As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter

Thus, the total combination becomes 4! = 24.

The total letter left after the removal of all 4 E's is 5 with times repetition of R.

Therefore, the total combination will be 5!/2! = 60.

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The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

[tex](a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = [tex]\mathbf{\dfrac{dx}{dt}}[/tex]

The speed of the rope, q = [tex]\mathbf{\dfrac{dr}{dt}}[/tex]

By chain rule, we have;

[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}[/tex]

[tex]\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]

Therefore;

[tex]\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}[/tex]

[tex]\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}[/tex]

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

[tex]\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243[/tex]

The speed of the wagon when x = 0.6 and q = 0.5 m/s, [tex]\dfrac{dx}{dt}[/tex] ≈ 0.243 m/s

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