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saw5 [17]
3 years ago
10

HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

y=-(x-7)(x+3)

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

0=a(5)^2+25

Subtract 25 on both sides:

-25=a(5)^2

-25=a(25)

Divide both sides by 25:

\frac{-25}{25}=a

-1=a.

So the equation for the quadratic is:

y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

y=-x^2+4x-4+25

y=-x^2+4x+21

Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

y=-(x-7)(x+3)

vladimir2022 [97]3 years ago
8 0

Answer:

On edu answer is D. f(x)=(x+3)(x-7)

Step-by-step explanation:

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fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

<h2>#15:</h2>

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

  • 1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

  • 1/2(12) * 5

Multiply 12 and 1/2 together.

  • 6 * 5

Multiply 6 and 5.

  • 30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

<h2>#17:</h2>

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

  • 2 / 4 = 1/2

The answer is B. 1/2.

6 0
3 years ago
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Answer:

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92.5-87.5=5

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3 years ago
1/5x-2/3y=30<br> What is the value of the x in the equation when y=15
svetlana [45]

Answer:

\frac{1}{5} x -  \frac{2}{3} y = 30 \\  \frac{1}{5} x -  \frac{2}{3} 15 = 30 \\  \frac{1}{5} x -  \frac{30}{3}  = 30 \\  \frac{1}{5} x  -  10 = 30 \\  \frac{1}{5} x = 30 + 10 \\  \frac{1}{5} x = 40 \\ x = 40 \div  \frac{1}{5}  \\ x = 40 \times  \frac{5}{1}  \\ x = 40 \times 5 \\ x = 200

I hope I helped you^_^

8 0
3 years ago
Read 2 more answers
Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose that we
Maslowich

Answer:

n = 4

x = 2

p = 38\%

q = 62\%

Step-by-step explanation:

Required

Find n, x, p and q

n always represent the population surveyed;

So:

n = 4

x represents the sample from the population

So:

x = 2

p always represents the given proportion

p = 38\%

Solving for q

p + q = 1

q = 1 - p

q = 1 - 38\%

q = 62\%

5 0
2 years ago
The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

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2 years ago
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