Factor the following expression : x2+ 3x

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

Δy = -1 - 0 = -1

Slope = rise over run = Change in y over change in x =  Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

AnswerA

Step-by-step explanation:I’m not sure

Answer:

how are yall so smart bc im sittin over here like bruh these guys are smarter than enistain

Step-by-step explanation:

Answer:

8/-11

Step-by-step explanation:

m=y2-y1/x2-x1

16-8=8

9-20=(-11)

8/-11

hope this helps :3

if it did pls mark brainliest

Answer:

if two angles r equal or sides r proportional

Answer:

a) -5 and 4 make the mathematically smallest number when multiplied together

b) 4 and -5 make the greatest sum

Step-by-step explanation:

-5 x 4 = -20

-3 x 4 = -12

-2 x 4 = -8

-1 x 4 = -4

-1 + -5 = -6

-2 + -5 = -7

-3 + -5 = -8

4 + -5 = -1

Answer:

6 cups per month

Step-by-step explanation:

divide 72 by 12

Answer:

x=5

Step-by-step explanation:

We know that a pentagon is in total 540 degrees. From this, we add all other numbers and set them equal to 540 to solve for x.

So, after adding all the angles and setting them equal to 540, we get this.

21x+435=540

21x=105

x= 5

If you want, plug 5 into x and see if it adds up to 540 to check

21(5)+435=540

Answer:

Graph 1 yes

Graph 2 yes

Graph 3 no

Step-by-step explanation:

Graph 1 is a linear function

Graph 2 is a reciprocal function

Graph 3 is not a function

In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

A relation will be a function if for every single x there must be a single y.

As per the given graphs,

In the first and second graphs, for every x value the y has a single value thus it will be a function.

In the third graph, for x there are two y for example at x = -6,(y = 1.4 and y = -6.4 approx) thus it will not be a function.

Hence "In the third figure for a single input, there is two output thus it will not function thus, l Yes, II Yes, and III No".

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer:

WX = 24

Step-by-step explanation:

Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1

Therefore,

WM/ MX = 2/1

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

WX = WM + MX

WX = 16 + 8

WX = 24

The value of the side WX  is equal to 24. The correct option is B.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.

Here, the ratio of the two sides will be given as:-

WM/ MX = 2/1

Calculate the value of MX to get the value of WX.

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

The value of WX will be:-

WX = WM + MX

WX = 16 + 8

WX = 24

Therefore, the value of the side WX  is equal to 24.

To know more about triangles follow

https://brainly.com/question/7644338

#SPJ5

Answer:

Option B) (0,0) is the correct answer.

Step-by-step explanation:

Given equation of circle is:

[tex]x^2+y^2 = 2[/tex]

The general form of equation of circle with center at (h,k) and radius r is given by:

[tex](x-h)^2+(y-k)^2 = r^2[/tex]

The given equation of circle can also be written as:

[tex](x-0)^2+(y-0)^2 = 2[/tex]

Comparing it with the general form of equation, we get

h = 0 , k = 0

So the center is (0,0)

Hence,

Option B) (0,0) is the correct answer.

Answer:

15

Step-by-step explanation:

Its pretty simple

The equation that relates the distance (y) and the time (x) is → y = 15x.

The general equation of a straight line is -

y = mx + c

where -

m is slope of line

c is the y - intercept

Given is a graph that shows a proportional relationship between the number of miles and the number of hours Marco bikes.

First we will find the slope of the straight line. Take two set of coordinates from the graph. We will take → (1, 15) and (2, 30).

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m =(30 - 15)(2 - 1)

m = 15

The line passes through the origin so its y - intercept (c) will be zero. So, we can write the equation as → y = 15x.

Therefore, the equation that relates the distance (y) and the time (x) is → y = 15x.

To solve more questions on proportional relationship, visit the link below-

https://brainly.com/question/12917806

#SPJ2

Answer:

the first one

Step-by-step explanation:

the equation for it is y=1.4x

Answer:

42

Step-by-step explanation:

√2x-3-3=6

√2x-3=6+3

√2x-3=9

2x-3=9^2

2x=81+3

X=84/2

X=42

So value of X is 42

Answer:

Step-by-step explanat it won’t let me download the PFDPLZZ give me brainless I’ll still help you put the questions in the comment section

Answer: below

Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)

Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.

Upvote

1

Downvote

Add comment

Answer:

1/2 or  .5

Step-by-step explanation:

1/3 / 3/5=.5

Answer:

Uhm i think this is right

Step-by-step explanation:

y=mx+b

y=2

y=2x+2

Answer:72.1

103*.7=72.1

I hope this is good enough:

Answer:

The Correct answer is D.) 5(45 – h)

Step-by-step explanation:

x can be replaced by 5(45 - h)

Tap the THANKS button and RATE ⭐️

Answer:

its d

Step-by-step explanation:

just took the quiz

Answer:

10

Step-by-step explanation:

1/2  4/5 turn into

5/10   8/10

since 10 is the denominator 2*5 =10 so take the 5 and times by the numerator or 1 to make the 5

5*2 is 10 so take 2 times the numerator (4) to make 8

Answer:

Too much

Step-by-step explanation:

Too much

Answer:

The answer is 13%

Step-by-step explanation:

The approximate percent increase is 13%.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.

Following the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.

Given:

initial =$900,000

Final = $900,000

% increase = $900,000- $800,000/ $800,000 * 100

% increase = 100, 000/8000

% increase = 12.5 %

Learn more about percentage increase here:

https://brainly.com/question/27992848

#SPJ6

Answer:

12

Step-by-step explanation:

Answer:

x

=

−

7

−

√

69

2

,

−

7

+

√

69

2

Step-by-step explanation:

x

=

−

7

−

√

69

2

,

−

7

+

√

69

2

Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Answer:

j

Step-by-step explanation: