Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

Answer:

i will be at small table bcz i will get more pizza there

9514 1404 393

Answer:

  a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root

  b) there are 1 each of positive and negative real roots; 2 complex roots

  c) -2 and 1/3 are the rational real roots

  d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

Step-by-step explanation:

a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.

__

b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:

  positive real roots: 1

  negative real roots: 1 or 3

  complex roots: 2 or 0

  zero roots: none

The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)

__

c) Possible rational roots are of the form ...

  ±{1, 2}/{1, 3, 9}

Listed, they are ...

  ±{1/9, 2/9, 1/3, 2/3, 1, 2}

The actual real roots are -2 and 1/3.

__

d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...

  f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)

The roots of the quadratic term are ...

  3(x +1/3)² = -2/3

  x +1/3 = ±√(-2/9)

  x = (-1 ±i√2)/3

So, the entire list of roots is ...

  x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

_____

Additional comment

The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

We can write a proportion relating the short segment to the full length:

  (x+1)/18 = 4/(4+5)

  x +1 = 8 . . . . . . multiply by 18 and simplify

  x = 7 . . . . . . . .  subtract 1

Answer:

keith buy 11 pencils at the cost of 165 paise

Step-by-step explanation:

6 pencils cost = 90 paise

so 1 pencil cost = 15 paise

Answer:

I would say B is the answer

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

The triangles are classified below.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An equilateral triangle is a triangle where all three sides are equal.

The right triangle is a triangle where one angle is 90 degrees.

An isosceles triangle is a triangle where two sides are equal.

An obtuse triangle is a triangle where the angle is greater than 90 degrees

An acute triangle is a triangle where the angles are less than 90 degrees.

A scalene triangle is a triangle where all three sides are different.

Now,

Side 5 cm, 5 cm, 5 cm, and 5 cm is an equilateral triangles.

Since all the sides are the same.

Sides of 3 cm, 5 cm, and 5 cm is an isosceles triangle.

Since the two sides are the same.

Sides of 3 cm, 5 cm, and 7 cm is a scalene triangle.

Since all three sides are different.

Angles of 40°, 50°, and 90° is a right triangle.

Angles of 40°, 60°, and 80° is an acute triangle.

Angles of 40°, 40°, and 100° is an abtuse triangle.

Thus,

The triangles are classified above.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

Answer:

6x−9x−5+8+7x

=6x+−9x+−5+8+7x

Combine Like Terms:

=6x+−9x+−5+8+7x

=(6x+−9x+7x)+(−5+8)

=4x+3

Answer:

=4x+3

Step-by-step explanation:

I hope this helps

Answer:

=4x + 3

Step-by-step explanation:

Add the numbers

6

Answer:

yes :(

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

zero pint eight seven ......

Answer:

Step-by-step explanation:

6x – 3y = -30

3x – 6y = 12

Multiply the top equation by 2 and write the bottom equation under it.

12x - 6y = - 60

3x - 6y =   12        Subtract

9x = - 72                 Divide by 9

x = - 72/9

x = - 8

6x - 3y = - 30

6*-8 - 3y = -30

-48 - 3y = - 30         Add 48 to both sides.

-3y = - 30 + 48

-3y = 18                   Divide by -3

y = -18/-3

y = -6

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

Answer:

[tex]42x^{2}[/tex]

Answer:

The sensitivity rate of the test is 88%.  For its part, the specificity rate of the test is 91%.

Step-by-step explanation:

The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.

In total, there are 270 cases:

-80 positives

-10 false negatives

-15 false positives

-165 negatives

Thus, to calculate both concepts, the following calculations must be performed:

Sensitivity = positives / (positives + false negatives)

X = 80 / (80 + 10)

X = 80/90

X = 0.88

Thus, the sensitivity rate of the test is 88%.

Specificity = negatives / (negatives + false positives)

X = 165 / (165 + 15)

X = 165/180

X = 0.91

For its part, the specificity rate of the test is 91%.

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6+7x=50

Step 1: Simplify both sides of the equation.

7x−6=50

Step 2: Add 6 to both sides.

7x−6+6=50+6

7x=56

Step 3: Divide both sides by 7.

7x/7 = 56/7

x=8

have a wonderful day

Answer:

The correct answer will be $725

Answer:I believe it is $725

Step-by-step explanation: 12.50(1+0.16)

= 14.5 then 14.5 times 50 = 725

answer:

78

-- please mark the brainliest and click the thanks button if correct :)

Answer:

$78

Step-by-step explanation:

13 * 6 is 78

I hope that helps broski

Answer:

D. 7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

9514 1404 393

Answer:

  84 = j × 7

Step-by-step explanation:

A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...

  j × 7

Then the translation can be ...

  84 is the product of j and 7

  84 = j × 7

__

In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:

  84 = 7j . . . . another way to write the answer

Note that this latter method does not seem to appear in the forms available for your answer box.

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Answer:

The constant proportionally of the graph is:

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

Answer:  10

Step-by-step explanation:  

(5 x 18) / 9 = 90/9 = 10

Answer:

Step-by-step explanation:

Answer:

in 9 days

Step-by-step explanation:

..

Answer:

Answer:

Order from Least to Greatest

3/8 < 2/5 < 2/3 < 3/4

Step-by-step explanation:

Answer:

about $3.00

Step-by-step explanation:

14.99 x 1/5 = 2.998

round it

3.00

Answer:

you would have 3.00

Step-by-step explanation:

round  it up

Answer:

Check question number 9 in that file you may be able to understand the problem

Step-by-step explanation: