Expand & simplify: (x + 1)(x + 3)

Answer: 76 m^2

Step-by-step explanation:

[tex]A=\frac{4+15}{2}*8 = 76\;m^2[/tex]

Answer:

Its supposed to be x = s

like its in the picture

So we divide both sides by 4

we get t+2 / 4

That means the answer is C

Answer:

the correct answer for this question is c. s= t+2/4

source. edge.

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

Complete Question:

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.

According to the plot, which value is the best estimate of the correlation coefficient of the data?

A. -0.2 B. -0.9 C. 0.9 D. 0.2

*See attachment for the scatter plot.

Answer:

C. 0.9

Step-by-step explanation:

The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.

Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.

Therefore, the best estimated value for the correlation coefficient would be C. 0.9.

Answer: Attached graph in the explanation.

Step-by-step explanation:

Hi, to answer this question we have to graph points in a Cartesian coordinate graph.

The horizontal axis is called the x-axis, and the vertical axis is the y-axis.

To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.

For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.

Finally when we have plotted all the points, we simply link all the points to form a line.

Answer:

nooooooooooooo

nooooooooooooo

Answer:

[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

Both of them are multiples of five by dividing them u get the answer

3/5

Answer:

Its a sequence question so, you have to find the nth term.

Step-by-step explanation:

If there are 5 more seats, and first value is 12, then:

nth terms = 5n + 12

Try substituting n with 1 to check

Hope this helps

Answer:

n² / (n³ + 5)

Answer:

Function, passes the vertical line test

Step-by-step explanation:

The graph is a function.  The points have a one to one correspondences as demonstrated by the vertical line test.  Since only one point on the graph  is  touching a vertical line  at a time, it will pass the vertical line test

Answer:

The second option

Step-by-step explanation:

Adding n to the x inside of the parentheses moves the graph n units to the left

Answer:

5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.

Step-by-step explanation:

Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!

Answer:

x = 16

Step-by-step explanation:

(b)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{CB}{DE}[/tex] = [tex]\frac{AC}{AD}[/tex] , substitute values

[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 160 ( divide both sides by 10 )

x = 16

Answer:

The answer is 2 different angles, 53° and 127°.

Explanation:

As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

Answer:

it matters what the whole angles is.

Step-by-step explanation:

for example if it's a 180 degree angle P=50 then R would equal to 130 degrees

second example if P=50 and it's a 90 degree angle R=40

For anyone on OW, it's 130.

Answer:

substitution, and 2) elimination

Step-by-step explanation:

Step-by-step explanation:

elimination

substitution

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:  c) 3.2 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]

Answer:

17

Step-by-step explanation:

2+7+4+4 = 17

Add all of the sides hence perimeter

calculate using unit squares

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

Answer:15

Step-by-step explanation:

its obvious lol simple maths

Answer: 1575 grams or 1.575 kgs

Step-by-step explanation:

For 4 people = 450 g of minced beef

For 14 people,

(14 * 450) / 4 = 1575 gms

Answer:

He'll have approximately $8723.3 on his account in five years.

Step-by-step explanation:

Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:

[tex]M = C*(1 + r)^t[/tex]

Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:

[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]

He'll have approximately $8723.3 on his account in five years.

Answer:

1:6

Step-by-step explanation:

3x/8 = 9y/4

Multiply by 8

3x = 9y/4 *8

3x = 18 y

Divide by 3

x = 18y/3

x = 6y

The ratio is of x to y is

1:6

Answer:

Step-by-step explanation:

3x/8=9y/4

3x/2=9y

1.5x=9y

1.5x:9y

Answer:

2.232, or 223.2%

Step-by-step explanation:

(3.1)(0.72)

Answer:

B

Step-by-step explanation:

i took the test and got it right

Answer:

137

Step-by-step explanation:

The degrees of the inscribed arc of 43 is 43 * 2 = 86

Since the total degrees in a circle is 360, x is equal to

(360-86)/2 = 137

Answer:

x = 137

Step-by-step explanation:

opposite angles are supplementary when they are in a quadrilateral inscribed in a circle

43+x = 180

Subtract 43 from each side

x =180-43

x=137