Three hundred cars drove over a bridge in 23 minutes. At that rate, how
many cars would drive over the bridge in 138 minutes?

[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]

A function is given to us , and we need to find its inverse. So the function is ,

[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]

So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,

[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]

Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.

Answer:

the last option is the right answer

Step-by-step explanation:

last week:

d = 18

d = 18h = 6

this week:

d = 2.5h

i. if she walked for 6 hours this week, h = 6

d = 2.5h

d = 2.5 × 6

d = 15

* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week

ii. if she walked for 18 miles this week, d = 18

d = 2.5h

18 = 2.5h

h = 18/ 2.5

h = 7.2

* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week

Answer:

The answer is t.

Step-by-step explanation:

We need to find the sum of opposite of - 10t and t - 10t.

Opposite of -10t = 10 t

So,

10t + (t-10t)

Grouping the numbers,

(10t+(-10t)) + t

= 0 + t

= t

Hence, the answer is t.

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer:

C.  [tex] \dfrac{1}{3x + 1} [/tex]

Step-by-step explanation:

[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]

Factor all polynomials.

[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]

Cancel out common factors in the numerator and denominator.

[tex] = \dfrac{1}{3x + 1} [/tex]

Answer:

obtuse is the anwer

Answer:

0.6 ÷ 0.3 - Option 2.

0.2 × 0.9 - Option 3.

Answer:

Step-by-step explanation:

it means the ABC And DEF have side lengths of 15,19, 25

so 3x-3 = 15

x = 6

5-y = 19

so y = -14

Answer:

I believe the answer is 6 times more.

Step-by-step explanation:

And I know ur gonna scam I'm just willing to help

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Answer:

here is your answer....

(1001)^3

(1000+1)^3

1000^3+3*1000^2*1+3*1000*1^2+1^3

1000000000+3*1000000+3*1000+1

1000000000+3000000+3000+1

ans: 1003003001 ..

I hope this will help you...

Answer:

the distance between them is decreasing at a rate of 2 mph.

Step-by-step explanation:

List all given rates and the unknown rate.

Write the formula that relates the variables in the problem: x, y, and s.

There’s a right triangle in the diagram, so you use the Pythagorean Theorem:

For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so

Differentiate with respect to t.

Use the Pythagorean Theorem again to solve for s.

x = 0.4

y = 0.3

You can reject the negative answer because s obviously has a positive length. So s = 0.5.

Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.

This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.

Answer:

1. D

2. y = 15.50x + 450

Step-by-step explanation:

1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.

2. x  > (y - 450)/ 15.50

i) Rita gets paid $450 per week.

ii) She gets $15.50 for every new membership she sells.

iii) let y represent the total pay per week.

iv) let x represent the number of new memberships sold.

v) the equation representing total pay is y = 15.50x + 450.

vii) therefore the equation that represents a higher rate of membership sold is given by  x  > (y - 450)/ 15.50

Answer:

300 gallons per hour.

Step-by-step explanation:

It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.

75 x 4 = 300

Answer:

9/4x to the power of one plus 12y to the power of one

Step-by-step explanation:

You can add the top numbers for 9, but cant add the bottoms since they are different variables.

Answer:

[tex]\frac{6y+7x}{12xy}[/tex]

Step-by-step explanation:

i hope this helps :)

Answer:

The answer should be 14/15.

Step-by-step explanation:

The answer is 14/15 because -2/5 and 4/3 with a common denominator turns into -6/15 and 20/15.

Then you add both of them together.

-6/15 + 20/15 = 14/15

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

Answer:

[tex] 10 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{200} = \sqrt{100 \times 2} \\ \\ = \sqrt{ {10}^{2} \times 2} = 10 \sqrt{2} \\ [/tex]

Answer:

16%

Step-by-step explanation:

Given data

Initial cost= $9

final cost= $7.56

Required

The percent discount

Step two

Percent discount= final-initial/initial *100

Percent discount= 9-7.56/9 *100

Percent discount=1.44/9 *100

Percent discount=0.16 *100

Percent discount=16%

Hence the percent discount is 16%

Yes

Yes

Yes

Yes

Yes

Yes

E

E

E

E

E

E

E

E

E

E

E

Answer:

z=-13/7

Step-by-step explanation:

1. Add 3z(7z+5=-8)

2. Subtract 5(7z=-13)

3. Divide 7(z=-13/7)

Answer: Its 35 hope this helped

Answer:

You can try asking for extra credit assignments, and just become a try hard on whatever assignments you have left. There's not much other thing besides asking for extra credit and trying your best on the assignments you have left

Answer:

$1.75

Step-by-step explanation:

Set up a system of equations where x is the cost of a corndog and y is the cost of a coke:

3x + y = 7.1

2x + 2y = 7.2

Solve by elimination by multiplying the top equation by -2

-6x - 2y = -14.2

2x + 2y = 7.2

Add them together:

-4x = -7

x = 1.75

So, the cost of one corndog is $1.75

Sorry I tried doe

(The answer I got would be in the negatives, I don't think that would be correct)

Answer:

9

Step-by-step explanation:

For this, we need to know the scale factor first. We can do that by looking at a same side of the two shapes.

CD = 2 and ML = 3.6

3.6 / 2 = 1.8

just to confirm, let's take MN = 7.2 and DE = 4

7.2 / 4 = 1.8

So now we know the scale factor is 1.8

Now to figure out x, we just need to use BA = 5

and because the scale factor is 1.8

so we just need to do: 5 * 1.8 = 9

Answer:

(3, -3)

Step-by-step explanation:

A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.

Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:

[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]

9 is bigger than 3, so (3, -3) is a solution to that inequality.

Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:

[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]

6 is bigger than 4, so (3, -3) is a solution to that inequality too.

Since (3, -3) is a solution to both inequalities, it must be the answer.

Answer: 4

Step-by-step explanation: 20-10=10 which is %50. 20-16=4

Answer:

what

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

take out of parenthesis so its 8-6r+2 and the 8 and to to get 10 and the -6r stays the same

Answer:

D

Step-by-step explanation: