use pascals triangle to expand the binomial (d-3)^6

Step-by-step explanation:

the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).

the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.

so, the point (1, 0) covers (x-1).

we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.

the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.

due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.

so, -2 - 3 = -5

and A is the correct answer option.

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

Answer:

x = 1

Step-by-step explanation:

4x - 1 = -2x + 5

6x = 6

x = 1

Answer:

Step-by-step explanation:

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

Answer:

There is a 2/6 chance

Step-by-step explanation:

Because there is only 6 possibilities on a die, under the conditions (even number or a number greater than 3), there are 4 possibilities. This makes a 4/6 chance which can be simplified to 2/6.

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

1220 - 100 = 1120

1120 + 50 = 1170

Answer: 1170

Answer:

1170

Step-by-step explanation:

HI hope you have a wonderful day.

Answer:

k=-1

Step-by-step explanation:

Answer:

i dunno what you saying i think we were in the other country ?_?

Answer:

8

Step-by-step explanation:

The triangle is isosceles so the answer is either 3 or 8.

You might think there are 2 answers. There are not. The base is 3 inches and the two equal sides are 8 inches a piece.

If you say that there are 2 sides of 3 inches each, they add up to 6. They can't. Six is much smaller than 8 and so two sides of 3 don't even cover up the 8, let alone make a triangle.

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

Answer:

6x-40=3

Step-by-step explanation:

3/4 x -5 =3/8

Multiply each side by 8 to get rid of the fractions.

8(3/4x -5 ) =8*3/8

Distribute

6x-40=3

_________

[tex] \: [/tex]

[tex] \frac{3}{4} x - 5 = \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{3}{8} + 5[/tex]

[tex] \frac{3}{4} x = 5 \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{43}{8} [/tex]

[tex]x = \frac{43}{8} \times \frac{4}{3} [/tex]

[tex]x = \frac{172}{24} [/tex]

[tex]x = \bold{7 \frac{1}{6}} [/tex]

Answer:

5/6 (decimal form: 0.83)

Step-by-step explanation:

Answer: 0.8333… (numbers keep going)

Step-by-step explanation:

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

Answer:

slope = -8/5

Step-by-step explanation:

m= y2-y1/x2-x1

m=(4-(-4))/(-1-4)

m= 8/-5

Answer:

-8/5

Step-by-step explanation:

Answer:

1 po iyan tama iyan trust mr

Answer:

70cm

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Step-by-step explanation:

7x(x - 2y)

= 7x.(x - 2y)

= 7x² - 14xy

= (2 + 1)(+5)

= (3)(5)

= 3 × 5

= 15

Step-by-step explanation:

1) 7x(x - 2y)

= (7x . x) - (7x . 2y)

= 7x² - 14xy

2) (2 + 1)(+5)

= 3(+5)

= (3 . +5)

= (3 . 5)

= 15

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

Answer:

x=-12

Step-by-step explanation:

5x/5=1x = -60/5=-12

x=-12

Answer:

-12

Step-by-step explanation:

5x=-60

Divide both sides by 5 to isolate

X=-12

First setup the equation for how much element is remaining after each day:

 y = a ( 100% - 3.418%)^t

where y is the amount remainig and t is the number of days

We can clean this up by subtracting the percentages and converting that to a decimal:

  y = a (0.96582)^t

Now for the half-life, we need to figure out how long until there's half of what we started with.  When does "a (0.96582)^t" equal "1/2 of a"

1/2a = a (0.96582)^t

divide by a on both sides and you get

1/2  = (0.96582)^t

take the log of both sides and you get:

log(1/2) = t log(0.96582)

divide both sides by log(0.96582)

 log(1/2) / log(0.96582) = t

Throw that into a calculator and you have

 t ≈ 19.93

Answer:

yes

Step-by-step explanation:

The square root of one is 1.000

Answer:

yes the number 1 has a square root and the square root is the number 1

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The cost for the group is $15 for shoe rentals plus $4.00 per game.​

Now,

Let number of games = x

And, Total cost of the bowling's = y

Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.​

So, We can formulate;

⇒ y = $4.00x + $15

⇒ y = 4x + 15

Compare with the standard form of equation of line y = mx + c, we get;

⇒ Slope = 4

And, The y - intercept = 15

Thus, The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

13.9 sorry if I'm wrong just trying to help.

Step-by-step explanation:

first plug in your numbers

a*2+ b*2= c*2

12*12= 144

7*7=49

144+49= 193

square root of 193: 13.89244399

rounded to nearest tenth is 13.9

Answer:

Step-by-step explanation:

9801 - 3856 = 5945