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3 years ago

(9x +1) 45 = (x+5) 14

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Use the website math papa it’ll give you the answers for your problem I promise!! Have a good day :)

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This question is about two positive numbers. Here are facts about these numbers:The numbers are consecutive even integers.The su

djyliett [7]

Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.

But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.

Even Integers

We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.

In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,

6 0

3 years ago

Read 2 more answers

The force of gravity on Mars is different than on Earth. The function of the same situation on Mars would be represented by the

sweet-ann [11.9K]

Answer:

If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.

Step-by-step explanation:

Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

$v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2$

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.

Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

$v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}$

When we use this to replace the 't" in the displacement formula, we et:

$y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}$

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)

And we can also answer the question about time, since given the same initial velocity $v_0$ , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)

3 0

3 years ago

Find the component form of the vector that translates P(4,5) to p'.

Veronika [31]

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

x = -3 - 4

x = -7

5 + y = 7

y = 7 - 5

y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

4 0

3 years ago

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

Klio2033 [76]

Hello!

You can solve this by plugging 1 into $g(x)$ and plugging the result into $h(x)$ .

$g(x) = 2x$
$g(1) = 2(1)$
$g(1) = 2$

$h(x) = 2x + 4$
$h(g(1)) = 2(2) + 4$
$h(g(1)) = 4 + 4$
$h(g(1)) = 8$

Answer:
<span>(h ∘ g)(1) = 8</span>

8 0

3 years ago

Helpppppppp me plssss

lora16 [44]

Answer:

4x(3x^2-x+5)

Step-by-step explanation:

12x^3-4x^2+20x

=4x(3x^2-x+5)

8 0

3 years ago