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The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

https://brainly.com/question/8495504

Answer:

In the first 5 years, 138,750$ worth of rent will already have been paid.

Step-by-step explanation:

Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.

The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.

From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.

In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.

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We will see that the lateral surface area of the cone is 14 square inches.

We know that for a cone of height H and radius R, the lateral surface of the cone is:

S = 3.14*R*H

In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:

R = (2 + 1/2) in = (1 + 1/4) in

Replacing that on the surface equation, we will get:

S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2

If you want to learn more about areas, you can read:

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Answer:

it's 15

Step-by-step explanation:

guy above was close

Answer:

)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!

m∠MFE = 28°

======================

Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line

→ m∠MFE + m∠MFP + m∠PFR = 180°

Solve for m∠MFE

Answer:

1/3

Step-by-step explanation:

If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.

[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]

Theres a 1/3 more chance of tails than rolling 6

The probability of rolling a 6 or rolling a die is 2/3.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

An experiment consists of rolling a die and then flipping a coin.

Probability = Number of desired outcomes / Total outcomes

Probability of rolling a 6 = 1/6

Probability of landing on tails = 1/2

P(A or B) = P(A) + P(B)

Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.

P(A or B) = 1/6 + 1/2 = 4/6 = 2/3

Hence the required probability is 2/3.

Learn more about Probability here :

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Answer:

  9.  a = -1

  10.  b = 20

Step-by-step explanation:

The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.

__

  [tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]

__

  [tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]

_____

Additional comments

Here are the answer checks:

  9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes

  10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes

__

Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

[tex]\sf \implies y=x[/tex]

[tex]\sf \implies y=x\pm\pi n[/tex]

Answer:

Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

Step-by-step explanation:

Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

Answer:

Step-by-step explanation:

y = x^2 - 2x + 2

y = (x - 1)^2 - 1 + 2

y = (x - 1)^2 + 1

Vertex is at (1, 1) and minimum value is  1.

Answer: Given as,X=2 & Y=3,

now multiplying we get,

2xxy=2×2×3=12

Ans.) 12

Step-by-step explanation:

Step-by-step explanation:

the volume of a cone is

base area × height / 3

and the case area is a circle, so we get

pi×r²×h/3

with e being the radius (half of the diameter), and h being the height.

therefore

pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³

Answer:

48

Step-by-step explanation:

10+5+18+15

pls mark brainliest

Answer:

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

Answer:

Answer:56.8

Step-by-step explanation:

First you get how much he earned

Then you get how much days he worked

Then you divide

£284/5

Answer: £57.20

Hope this helps you guys!

Answer:

3%。

Step-by-step explanation:

26•19÷27.00 =.97%

so the remains 3% is after the discount and tax.

Answer:

w = 5

Step-by-step explanation:

6w/6 = 30/6

= 5

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Answer:

22 MPG

Step-by-step explanation:

The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is  22miles per gallon.

Answer:

Step-by-step explanation:it is the degree of 4

Using it's concept, it is found that the probability that an ID code does not contain the letter I is given by:

A. 0.9246

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that for each letter there are 26 possible outcomes and for each digit there are 10 possible outcomes, the total number of outcomes is given by:

T = 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000.

Without the letter "l", the desired number is given by:

D = 25 x 25 x 10 x 10 x 10 x 10 = 6,250,000.

Hence, the probability is given by:

p = 6,250,000/6,760,000 = 0.9246.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

9.42.

Step-by-step explanation:

If you have 3.14 × 3 You would put it over as an equation.

3.14

× 3

----------

9.42 is final answer.

Answer:

95⁰

Step-by-step explanation:

95⁰ is the measure of <k

Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰

I hope it helped you

Answer:

Step-by-step explanation:

Remark

There is only 1 way that you can get 1 2 3 4 5 in that order.

There are many possibilities of drawing 5 numbers from a total of 9 possible ones.

Total number of drawing 5 numbers.

Total = 9 * 9 * 9 * 9 * 9

Total = 59049

So putting the two facts together you get

Chance of getting (1 2 3 4 5)  = 1/59049

Answer: .000016935

Hey there!

23/12
= 23/1 ÷ 12/1

= 23/1 × 1/12

= 23(1) × 1(12)

= 23/12

≈ 1 11/12

Those steps above are somewhat easier to solving your given equation!

Anyways, your answer is: 1 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

the answer is 1 11/12

Step-by-step explanation:

we know that 23 can fit once into 12,
so we can subtract 23 by 12 to get 11
now, we have 1 11/12

1 11/12

I believe it's right two down one

Answer:

Step-by-step explanation:

Answer:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

hope it helps

pls mark as brainliest answer

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Answer:

the blank is 10 lbs

Step by step:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

Answer 2:

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds