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3 years ago

Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)

2 answers:

5 0

What we are going to do with this problem is combine all the like terms.
so to begin, we notice that there are two numbers with a^2 involved, and two numbers with an a.

thus:
8 $a^{2}$ +(-3 $a^{2}$ is going to equal 5 $a^{2}$ because adding a negative is just like subtracting.

then we move on to (6a)-(2a) giving us 4a
5 is the only term that stays the same because there are no other similar terms.
last but not least, put the equation together!

answer: 5 $a^{2}$ +4a+5

Contact [7]3 years ago

4 0

(8a^2 + 6a + 5) + (-3a^2 -2a)

5a^2 + 4a + 5 <------------ answer

You might be interested in

Answer the questions below about the quadratic function.f(x) = -2x² - 4x

Juli2301 [7.4K]

We are given the function below;

$f(x)=-2x^2-4x$

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

$\begin{gathered} f(x)=-2x^2-4x \\ f^{\prime}(x)=-4x-4 \\ At\xi maxmum\text{ }f^{\prime}(x)=0 \\ -4x-4=0 \\ -4x=4 \\ x=-\frac{4}{4} \\ x=-1 \\ \therefore\text{The max}imum\text{ value occurs at x=-1} \\ \text{Inserting the value of x into the function, we have} \\ f(x)=-2(-1)^2-4(-1) \\ f(x)=-2+4 \\ f(x)=2 \\ \therefore\text{The function max}imum\text{ value is 2} \end{gathered}$

5 0

1 year ago

In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows

Alja [10]

Answer:

2.24

Step-by-step explanation:

The probability formula using a Poisson distribution is:

$P(k\ events) = \frac{\lambda^{k}e^{-\lambda}}{k!} \\\lambda\ is\ the\ average\ number\ of\ events\ per\ interval \\e\ is\ euler's\ number \\k\ is\ the\ number\ of\ events\ you\ want\ to\ calculate$

λ = 90 / 18 = 5 average goals per interval (interval = a game)

So if for example you were interested in the probability of making 2 goals in a game

k = 2

$P(k = 2) = \frac{5^{2}e^{-5}}{2!} = 0.084$

This was just an example,

The standard deviation is $\sqrt{\lambda}$

$\sigma = \sqrt{\lambda} \\\sigma = \sqrt{5} \\\sigma = 2.24$

8 0

3 years ago

3/7 of which is 2 1/14

mash [69]

Answer:

4 and 5/6; 29/6.

Step-by-step explanation:

3/7 of x is 2-1/14.

(3/7)x = 29/14

x = (29/14) * (7/3)

x = (29/2) * (1/3)

x = 29/6

3/7 of 4 and 5/6 is 2 1/14.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Please help anyone......

Neko [114]

Answer:

5. is 39 and i don't want to answer the other one sorry:(

Step-by-step explanation:

7 0

3 years ago

Enter a range of values for x.<br> 85°<br> 25<br> 5x - 10<br> [ ? ] Enter

Nataly_w [17]

<h3>Answer: 2 < x < 7</h3>

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

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

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

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

3 0

4 years ago