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Anestetic [448]
3 years ago
10

Simplify the following expression (x+3)(x+5)

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

2x+8

Step-by-step explanation:

Here, you have to find the similar sides. x and x are both the same thing, while 3 and 5 are both integers (whole numbers).

You add the similar sides together, then that is your answer.

x + x= 2x, and 3+5= 8.

Note: Just because I said that x and x are the same doesn't mean that you can just add random numbers together in other questions.

You might be interested in
The amount of water dispensed by a water dispenser is normally distributed,
Contact [7]

Answer:

The correct answer is - C.  11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

3 0
3 years ago
Problem 1:
Allisa [31]

Answer:

It will cost $120.00

Step-by-step explanation:

8 0
3 years ago
Imagine the center of the Singapore Flyer ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-a
stealth61 [152]

The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.

<h3>What is the equation of the circle?</h3>

The following parameters are derived from the question:

(x - a)² + (y - b)² = r²

Center (a, b) = (0, 0)

Radius (r) = 5

Then the equation of the circle will be

x² + y² = 5²

x² + y² = 25

Then the transformation of the circle will be

Center (a, b) = (0, 0)

Radius (r) = 10

Then the equation of the circle will be

x² + y² = 10²

x² + y² = 100

More about the equation of circle link is given below.

brainly.com/question/10618691

#SPJ1

6 0
1 year ago
Is -40 the solution to -12=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7B8%7D" id="TexFormula1" title="\frac{u}{8}" alt="\f
valentinak56 [21]
Answer: Yes -40 is the answer

Explanation:

-12 = u/8 - 7
8(-12)/8 = u/8 - 8(7)/8
-96/8 = u/8 - 56/8
-96 = u - 56
-u = -56 + 96
-u = 40
u = -40
4 0
2 years ago
Given the vertex of a quadratic function, find the axis of symmetry.
motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of <em>quadratic</em> equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the <em>quadratic</em> equation into its <em>vertex</em> form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0
1 year ago
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