Which of the following is an example of a quadratic equation?

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

Answer:

F=0.46N

Step-by-step explanation:

[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],

[tex]F=\frac{k}{d^{2} } \\[/tex]

[tex]F=0.35N, d=8m\\[/tex]

[tex]0.35=\frac{k}{8^{2} }[/tex]

[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer:

x ^2 y √ 3 y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

22/7 ×5^2(area of circle is2πr^3

78.57

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

So, let's find the slope of each equation.

The first basketball is modeled by:

[tex]\displaystyle 3x+4y=12[/tex]

We can convert this into slope-intercept form. Subtract 3x from both sides:

[tex]4y=-3x+12[/tex]

And divide both sides by four:

[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

[tex]-6x-8y=24[/tex]

Again, let's convert this into slope-intercept form. Add 6x to both sides:

[tex]-8y=6x+24[/tex]

And divide both sides by negative eight:

[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

No solution because there is no c variable

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer: keith

Step-by-step explanation:

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Since we know that,

A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day.

The equation for Keith, where d for days and p for pages can be given as,

p = 6xd

p = 6d

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

p = 5xd + 15

p = 5d + 15

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Learn more about the system of equations here;

brainly.com/question/13729904

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Answer:

y = 31 when x = 5

Step-by-step explanation:

We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.

Substituting 5 for x in y = 6x + 1, we get

                                     y = 6(5) + 1  = 31

y = 31 when x = 5

[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]

[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]

[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]

_______

#LetsStudy

Answer:

1,3,4,6

Step-by-step explanation:

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)

40² + 75² = 85²

1600 + 5625 = or ≠ 7225

7225 = 7225

It is equivalent so it is correct.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

true

Step-by-step explanation:

Answer:

False. if it was perpendicular than the segments would be equal

Step-by-step explanation:

Answer:

Scientific Notation: 3754 × [tex]10^{-4}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

3.754 • 10^-4

Step-by-step explanation:

Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!

Hope this helped, good luck! :)

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

Answer:

Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:

f(x) > g(x) para todo x ∈ (a, b)

Entonces calculamos:

[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]

Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.

Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.

es decir, si:

f(x) ≥ g(x)  para x ∈ (a, n)

g(x) ≥ f(x) para x ∈ (n, b)

entonces el área estará dada por:

[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

Here: https://brainly.com/question/1480398

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Answer:

The two numbers are 157 and 13

Step-by-step explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

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

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13

Answer:

$72

Step-by-step explanation:

For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.

480 x .4 = 192

40% of $480 is $192. The next step is to find the difference between $192 and $120.

192 - 120 = 72

Therefore, you need to give them of refund of $72.

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation: