f
is inversely proportional to
√
g
.
When
f
=
15
,
g
=
144

Work out
g
when
f
=
90

Answer: y-54=21(x-5) or y=21x-51

Step-by-step explanation:

To find the equation of the tangent line, we first want to find the derivative of the equation.

f(x)=2x²+x-1           [Power Rule]

f'(x)=4x+1

Now that we have the derivative, we use (5,54) to find the slope.

f'(5)=4(5)+1            [multiply]

f'(5)=20+1              [add]

f'(5)=21

With our slope, we can plug it into point-slope form.

y-54=21(x-5)

We can also convert this to slope-intercept form.

y-54=21(x-5)          [distribute]

y-54=21x-105        [add both sides by 54]

y=21x-51

Now, we know the tangent line is y-54=21(x-5) or y=21x-51.

Answer:

how long is the shelf

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

812×241=?

8

12

×

24

1

=

?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

8×2412×1=19212

8

×

24

12

×

1

=

192

12

Since 192 divided by 12 equals 16 then,

19212=16

192

12

=

16

Therefore:

812÷124=16

8

12

÷

1

24

=

16

Step-by-step explanation:

2x + 4(x + 1) = 2x + 4x + 4 = 6x + 4

Answer:

[tex]6x+4[/tex]

Step-by-step explanation:

[tex]2x+4\left(x+1\right)[/tex]

[tex]Expand\;4(x+1):4x+4[/tex]

[tex]=2x+4x+4[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:2x+4x=6x[/tex]

[tex]=6x+4[/tex]

Hence, 6x+4 expression is equivalent to 2x+4(x+1)

~Lenvy~

Answer:

Step-by-step explanation:

there is no figure Shown for

Your question

Answer:

Step-by-step explanation:

Formula

Time period

Calculation of penalty

You multiply (*) the pounds cost by the [tex]10[/tex] pounds when you get that amount you divide it by the cost of granola per pound that will give you [tex]4[/tex] dollars per pound.

Hope it helped!

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

We want to find and solve an equation that tells us the number of pounds of raisins that we need to add to a mixture to get to a desired price.

We will see that we need to add 3 pounds of raisins.

We know that:

If we mix M pounds of raisins with 10 pounds of granola, the total mass will be:

M + 10

The price of this will be:

M*$6.50 + (10)*$3.25

And we want the price of this mixture to e $4.00 per pound, then we have:

M*$6.50 + (10)*$3.25 = (M + 10)*$4.00

Now we need to solve the above equation for M.

M*$6.50 + $32.50 = M*$4.00 + $40.00

M*$6.50 - M*$4.00 = $40.00 - $32.50

M*($6.50 - $4.00) = $7.50

M*$2.50 = $7.50

M = ($7.50)/($2.50) = 3

M = 3

This means that we need to add 3 pounds of raisins.

If you want to learn more, you can read:

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Answer:

i think it is C and D

i hope this work for you

and sory if im wrang

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

Answer:

The total of the jeans is $40.80

She save $7.20

Step-by-step explanation:

The tax is 2.40

The sale took off 9.60

SO 48.0 + 2.40 - 9.60 = 40.80

pls mark brainliest

Answer:

288

Step-by-step explanation:

The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.

Now, you just divide 36 by 0.125, which is 288.

I hope this helped.

Answer:

A

Step-by-step explanation:

Answer:

(D) 36

Step-by-step explanation:

0.5%  = 0.5/100  =  0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3  =  1

t  =  3 years

Convert years to months.

n  =  3 ⋅ 12 months

n  =  36 months

The correct option is D.

Thanks!

Mark me brainliest!

Answer:

36

Step-by-step explanation:

Because t/3 means that 0.5% every 3 years. n will be 3 years which is 36 months

Answer:

Subtract 8.9 from both sides.

Step-by-step explanation:

When isolating variables, we need to change the parity of the number or value we are taking away. If we subtract 8.9 from both sides, we will get r=8.5.

Step-by-step explanation:

Hey there!

Given;

y = 2x + 4..........(i)

The point is; (3,2). The equation of line which passes through this point is;

(y-y1) = m2(x-x1)

(y-2)= m2(x-3)........(ii)

From equation (i).

y = 2x+4

Comparing the equation with y = mx+c, we get;

Slope (m1)= 2

As per the condition of parallel lines, (m1=m2).

Therefore, m2= 2.

Now, keeping the slope of m1 in eqaution (ii)

(y-2)= 2(x-3)

y - 2 = 2x - 6

y = 2x -4

Therefore, the equation is y = 2x - 4.

Hope it helps...

Answer:

A. 144

Step-by-step explanation:

8x + 8x + 8x + 3x + 3x = 540°

30x = 540°

x = 18

8x = 144

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Let the smaller number be x .

Then the larger number = 3x

Their sum = -10

This can be written in an equation as :-

[tex]x + 3x = - 10[/tex]

[tex]4x = - 10[/tex]

[tex]x = \frac{ - 10}{ \: \: \: 4} [/tex]

[tex]x = - 2.5[/tex]

Which means :-

The value of the first number = -2.5

The value of the second number = -2.5 × 3 = -7.5

Therefore , the smaller of the two numbers is = -7.5

Answer:

let a + b = -10

where a = 3b

substitute a into the equation: a + b = -10

3b + b = -10

b = -10 / 4

b = -2.5

a = 3b

a = 3(-2.5)

a = -7.5

check:

a + b = -10

-7.5 + (-2.5) = 10

-10 = 10

Answer:

3/10

Step-by-step explanation:

2/6 is 1/3 x 2/2

4/12 is 1/3 x 4/4

5/15 is 1/3 x 5/5

but 3/10 is 1/3 x 3/3.33333.. which is not quivalent to one third

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

Five adult tickets and two child tickets cost $47: 5x + 2y = 47

Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

-19y/3 = -38

-19y = -114

.: y = 6

Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

Answer:

ok so first we have to find the total amount

4*5=20

5*2=10

10*3=30

24*1=24

0*3=0

now lets add up the total

20+10=30

30+24=74

104

then we have to divide by the amount of games to find the average or mean

104/14=7.43(aprox)

so she scores a average of about 7 points a game

Hope This Helps!!!

Answer: ANSWER*0.15 (15% is 15/100 or 0.15)

Step-by-step explanation:

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The number of seats in the new black box is 294.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

Number of rows = 14

n = 14

a = 8.

d = 2

So,

The number of seats in the 14 rows is,

8, 10, 12, 14,.........

Now,

The sum of the arithmetic sequence.

= n/2 [2a + (n - 1)d ]

The number of seats in the new black box.

= 14/2 [ 2x8 + (14 - 1)2 ]

= 7 [ 16 + 26 ]

= 7 x 42

= 294

Thus,

The number of seats in the new black box is 294.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

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Answer:

See below.

Step-by-step explanation:

1. 3 * 15 + 4 * 15 - 5 * 15

45 + 60 - 75

105 - 75

30

2. 3x + 4x - 5x

7x - 5x

2x

3. 3(x-2) + 4(x-2) - 5(x-2)

3x - 6 + 4x - 8 - 5x + 10

2x - 4

4. (I'm not typing that out)

7.5x + 19.5 + 10x + 26 - 12.5x - 32.5

5x+13

-hope it helps

Answer:

507

Step-by-step explanation:

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

~~~~~~~~~~~~~~~~~

Divide 6 by 9 to get 0

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

~~~~~~~~~~~~~~~~

Divide 63 by 9 to get 7

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

      [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace6\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

        [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace6\emptyspace3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{4563}{9}\:\mathrm{is}\:507[/tex]

[RevyBreeze]

Answer:

the answer is thirty three

Answer:

what is the problem? pls type in comments

Answer:

d

Step-by-step explanation:

divide

Answer:X=3

Step-by-step explanation:

Answer:

light year

Step-by-step explanation:

Took test

Answer:

9

Step-by-step explanation:

well this one is rather simple you see the "4" is in the ones place and, going right, "3" is in the tens places and the "2"is in the hundreds place and that leaves the '9' in the thousands place.

Answer:

The remaining number in thousands units is 9.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

[tex]enjoy yourday[/tex]      [tex]hopethishelps[/tex]

Answer:you decide by a number both of the numbers can be devised by like say it’s 8 the number will be 2 (also when you get the nooses to number you can get u stop

Step-by-step explanation:

Answer:   [tex]0.71 \le x \le 0.95[/tex]

Work Shown:

71% = 71/100 = 0.71

95% = 95/100 = 0.95

x represents the possible values of the scores. The compound inequality above shows that x is between 0.71 and 0.95, including both endpoints. Note the use of "or equal to" as part of each inequality sign.