Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?

Answer:

Step-by-step explanation:

Let's FOIL this out and get it into standard form. That gives us:

[tex]h(t)=-4.9t^2+490[/tex] For #1, then:

The height of something when it is on the ground is 0; that means that the h(t) is 0. This allows us to factor the quadratic and solve for t:

[tex]-4.9t^2=-490[/tex] and divide both sides by 4.9 to get

[tex]t^2=100[/tex] so

t = 10. Notice that one of the factors for that quadratic is 10 - t. That factor represents the time it takes to hit the ground. So you might ask why, then, we FOILed this out in the first place if the answer was ight in front of our noses. The reason is becase of #2 that is asking us what the initial height of the object was. That is found in the standard form...in the constant in particular. The initial height is 490 m. That's how you know (because the constant represents the height from which an object is dropped in either free fall, which this is, or in parabolic motion).

Answer:

[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])

Step-by-step explanation:

In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.

*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.

Answer:

28 square units

Step-by-step explanation:

The area of a rectangle is A = l x w.

The length of this rectangle is 7 square units.

The width is 4 square units.

7 x 4 = 28 square units

Answer:

where is the problem

Step-by-step explanation:

Answer:

Y=3/2X + 3

Step-by-step explanation:

Y= mX + b

b is the y intercept or the Y number for when the point is in place o for X

(0, 3) is the Y intersect so b is 3

this is shown on the diagram I drew below

m is the slope of the line and can be calculated

m = change in Y/ Change in X

Our change in Y is 6-3

And out change is X is 2-0

So

m = 3/2

This is shown on the image below

Y=3/2X + 3

Answer:

1

Step-by-step explanation:

Given :

[tex]\frac{1}{6}[/tex]   divided by [tex]\frac{1/2}{3}[/tex]

Now, it can be solving as:

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

Simplest form of given equation is 1

Answer:

3 is the line of symmetry, its the same on both sides

Step-by-step explanation:

Hope this helps and sorry you have to do I-ready it stinks

The answer for that would be three

Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

Answer:

D.(4^1/2)^4

hope this helps

have a good day :)

Step-by-step explanation:

Answer: The equation is h(x) = 45(1/5)^x

This is the same as h(x) = 45(0.2)^x because 1/5 = 0.2

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

Explanation:

We'll start with y = a*b^x, and plug in x = 0 to find that,

y = a*b^x

y = a*b^0

y = a*1

y = a

The table says that y = 45 is the case when x = 0. So that must mean a = 45.

The value of ''a' is the y intercept and it's the initial value.

---------

So the equation y = a*b^x updates to y = 45*b^x

Let's plug in (x,y) = (1,9) and solve for b

y = 45*b^x

9 = 45*b^1

9 = 45b

45b = 9

b = 9/45

b = 1/5

b = 0.2

Therefore, the equation in fraction form is y = 45(1/5)^x

That same equation in decimal form is y = 45(0.2)^x

---------

To verify the equation, plug in various values of x and you should get y values that are shown in the table.

For instance, plug in x = 2 to find that

y = 45(0.2)^x

y = 45(0.2)^2

y = 45(0.04)

y = 1.8

which matches with the table. That verifies the 5th row. I'll let you verify the other rows.

Answer:

262.50

Step-by-step explanation:

350 x .25 (25 %)=87.50

350-87.50=262.50

or

350x.75=262.50

Answer:

7700 in taxes

27300 pesos remaining

7700 en impuestos

Quedan 27300 pesos

Step-by-step explanation:

I bought a TV that cost 35,000 pesos. If at customs I must pay 10% for nationalization tax and 12% on the nationalized VAT price. How much money did I pay in total just in taxes?

Answer:

(y-7) = 2(x-1)

Step-by-step explanation:

The point slope form of a line with slope m passing through (a,b) is

(y-b) = m(x-a)

here slope m = (7-3)/(1- -1) = 4/2 = 2

The point used was (1,7)

So the equation is

(y-7) = 2(x-1)

Note:

#11 is correct

Answer:

Step-by-step explanation:

The equation for this is

12(x + 1) = 10(10 - x) and

12x + 12 = 100 - 10x and

22x = 88 so

x = 44

Answer:

will be -0.667 so the answer will be greater than 0

Answer:

∠ BOC = 30°

Step-by-step explanation:

Given ∠ COF = 150°

∠ BOC + ∠ COF = 180° ( BF is a straight angle ) , that is

∠ BOC + 150° = 180° ( subtract 150° from both sides )

∠ BOC = 30°

Answer:

The angle corresponding to angle 4 is angle 8

Step-by-step explanation:

the cost of 1 kg mangoes = 147/ 5

= Rs. 29.40

mark me as brainliest

Answer:

cost of 1 kg mango = rupees 29.4

Step-by-step explanation:

cost of 5 kg mangoes =rupees 147

cost of 1 kg mango =?

Now, lets find cost of 1 kg mangoes

CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg

=rupees 147/5

=rupees 29.4

Answer:

The answer is A

Step-by-step explanation:

If two lines are perpendicular to that same line, then they are parallell.

Answer:

The multiples of 2 between 1 and 15 are

2, 4, 6, 8, 10, 12, 14

The multiples of 5 are

5, 10, 15

So, there are seven multiples of 2 and three multiples of 5.

The probability of getting a multiple of 2 is

P=\frac{7}{15}= 0.47 (or \ 47\%)P=

15

7

=0.47(or 47%)

The probability of getting a multiple of 5 is

P=\frac{3}{15}=0.2 (or \ 20\%)P=

15

3

=0.2(or 20%)

Now, the probability of getting a multiple of 2 or 5 is

P=0.47+0.20=0.67 (or \ 67\%)P=0.47+0.20=0.67(or 67%)

Therefore, the answer is 67%.

Remember that the probability of one event happening OR another event happening is the sum of the probabilities of those events.

Step-by-step explanation:

hope it helps

Answer:

tan 260 = 5.670

Step-by-step explanation:

What is tangent (260) rounded to the nearest hundredth

Given data

θ=260

We want to find the value of

tan θ

Hence, from table

tan 260= 5.670

Answer:

$75.25

Step-by-step explanation:

Given data

Original price =$125

Discount =45%

Tax=5.2%

Let us find the discount

45/100*125

0.45*125

56.25

Let us find the tax

5.2/100*125

0.052*125

6.5

Hence the amount is

125-56.25+6.5

=$75.25

Answer:

33.3% I think lpl

Step-by-step explanation:

Answer:

hello

Step-by-step explanation: