Which of these is a nonlinear function

Answer:

  E.  x = 3

Step-by-step explanation:

The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.

  (2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums

The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.

  2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x

  2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms

  (2x +1)(x -3) = 0 . . . . . . . . . complete the factoring

Solutions are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

_____

Additional comment

A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.

Answer:

x = 3  AND  x = -1/2

Step-by-step explanation:

its right

The cost of one taco is $2, while the cost of one fountain drink is $3.

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

So let us assume the unknown positive integers as a and (a + 1).

★ Product of both integers :-

★ Solving the equation :-

[tex]: \longrightarrow \: \sf{a \: (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a \times (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: - \: 156 = 0} \\ \\: \longrightarrow \: \sf{a {}^{2} \: - \: 12a + 13a\: - \: 156 = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{(a \: - \: 12) (a\: + \: 13) = 0} \\ \\ : \longrightarrow \: \red{\bf{a \: = \: 12 }}[/tex]

Therefore,

★ Second positive integer :-

Answer:

ACD and DCB are supplementary and others are correctly chosen ...

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

Answer:

88

Step-by-step explanation:

Answer:

8(4+7)

Step-by-step explanation:

The GCF of 32 and 56 is 8. Then you divide by 8.

Answer:

d/dx = -2/x^3

Step-by-step explanation:

1/x^2 + 1

We can solve for the derivative using the power rule

d/dx = -2/x^3 + 0

d/dx = -2/x^3

If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

The law of cosines can be used to determine the measures of the triangle if the angles are known. The law is given by:

a² = b² + c² - 2bc*cosA

a,b,c are the sides and A, B, C are the angles.

The law of sines are used to determine the measures of the triangle if the angles are known. The law is given by:

a/sinA = b/sinB = c/sinC

If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

Find out more on cosines and sines at: https://brainly.com/question/25830682

Answer:

575 mph

Step-by-step explanation:

The plane is traveling at 575 mph.

1725/3

575

Answer:

58cm

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

16 +16=32

13+13=26

32+26=58

Hope it Helps

Answer:$22.95

Step-by-step explanation: The original price is 51%

Discount is 55% of $51= 55/100×51=$28.05

Deduct the discount from the original price. $51-$28.05=$22.95

y = 0.6x + 3

To determine the equation of the line, we need to determine the slope and the y-intercept. Then, we will substitute the slope and the y-intercept in the slope intercept form equation to obtain the equation in slope intercept form.

Two points that lie on line: (0, 3) and (-5, 0)

[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]\implies \text{Slope} = \dfrac{3 - 0 }{0- (-5)}\\[/tex]

[tex]\implies \text{Slope} = \dfrac{3 }{0+5}\\[/tex]

[tex]\implies \text{Slope} = \dfrac{3 }{5} = 0.6[/tex]

[tex]\implies \text{Intersection of line on y-axis: 3}[/tex]

[tex]\implies \text{y-intercept: 3}[/tex]

Slope intercept form:

[Where "m" is the slope and "b" is the y-intercept]

Substitute the slope (m) and the y-intercept (b) in the formula;

[tex]\implies \text{Slope intercept form: y = (m)x + (b)}[/tex]

[tex]\implies \text{Equation of line in slope intercept form: y = (0.6)x + (3)}[/tex]

Open the parenthesis in the equation;

[tex]\implies\text{Equation of line in slope intercept form: \boxed{\text{y = 0.6x + 3}}}[/tex]

Learn more about slope intercept form: https://brainly.com/question/9682526

Answer:

6

Step-by-step explanation:

pemdas=parenthesis, exponents, multiplication, division, addition, subtraction. with this, we multiply 2 x the absolute value of -3, which is just 3. therefore, 6. now we see we need to subtract the absolute value of 6 from the absolute value of 8, which gives us 2. and 2+4 is 6.

Answer: 6

Step-by-step explanation:

8-2 x 3+4

2x3=6

8-6+4

2+4

=6

hope this helps

Answer:

[tex](xy)^{7}[/tex]

 ↓

[tex]x^{7} y^{7}[/tex]

So the answer is [tex]x^{7} y^{7}[/tex].

Answer:

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

Step-by-step explanation:

Total liabilities = deposits + borrowings

Borrowings = total liabilities - deposits

Borrowings in 2017 = $14.60 - 11.90 = $2.70 billion

Borrowings in 2018 = $14.80 - $12.20 = $2.60 billion

Borrowings from 2017-2018= 2.60 - 2.70 = $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017 = $16.2 - $14.6 = $1.6 billion

Owner’s equity in 2018 = $16.8 - $14.8 = $2 billion

Owner's Equity from 2017-2018= 2 - 1.6 = $0.4 billion

Hope this helps!

The Owner's Equity for commercial banks in  2017-2018 is $0.4 billion.

The given is,

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

Total liabilities = deposits + borrowings

So we have Borrowings = total liabilities - deposits

Borrowings in 2017

= $14.60 - 11.90

= $2.70 billion

Borrowings in 2018

= $14.80 - $12.20

= $2.60 billion

Borrowings from 2017-2018

= 2.60 - 2.70

= $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017

= $16.2 - $14.6

= $1.6 billion

Owner’s equity in 2018

= $16.8 - $14.8

= $2 billion

Owner's Equity from 2017-2018

= 2 - 1.6

= $0.4 billion

To learn more about the Borrowings visit:

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Answer:

EASYYY   90°

Step-by-step explanation:

30 + 60 = 90

180-90=90

also

thats a right angle which is always 90°

ALSO

the angle opposite another angle is always the same measurement.

Answer:

18

Step-by-step explanation:

Answer: (2,-5)  X:2. Y:-5

Move accross 2 units to the right and then 5 units down from 2

Answer:

63.25

Step-by-step:

39.25 + 24 = 63.25 ft squared

Answer:

Step-by-step explanation:Does anyone know what this would be?

Answer:

nothing much just got home

Answer:

25% profit

Step-by-step explanation:

Statement

An article is bought and sold at a profit of one fourth of selling price.

⇒ Buying price = x

⇒ Selling price = Buying price (1 + 1/4) = 5x/4

Profit %

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x +

Answer:

Step-by-step explanation:

D or 121  got it right on edgenuty

Answer

y = x + 2

hope this helped

lol

Answer:

C

Step-by-step explanation:

Answer:

health class

Step-by-step explanation:

when the mean absolute deviation (M.A.D) is lower, that means the data is closer together. When it is higher that means the data is more spread out.

Answer:

its health

Step-by-step explanation:

i took the k12 test and got it wrong and it showed this one was correct

Answer:

The Answer is 96 units squared

Step-by-step explanation:

First, you find the area of all the sides:

Triangle 1: 6

Triangle 2: 6

Rectangle 1: 21

Rectangle 2: 28

Rectangle 3: 35

Then you add all of the numbers together.

6+6+21+28+35 = 96 units squared

I hope this helps :)

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

(B) and (D)

Step-by-step explanation:

it's B and D because they are the only two points with constant rate

Answer:

X = 3

Step-by-step explanation:

(4x-6)+(4x-6)+12+12=36