what is the measurement of angle B

By finding the roots of the polynomial, we conclude that the correct graph is the second one.

Here we have the polynomial:

[tex]f(x) = x^3 + x^2 - 2x[/tex]

To identify it, we need to find the roots, we can rewrite the equation as:

[tex]f(x) = x*(x^2 + x - 2)[/tex]

And we can rewrite the last part by using the Bhaskara's formula:

[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]

Then the roots are:

x = -2

x = 1

Then we rewrite:

[tex]f(x) = x*(x + 2)*(x - 1)[/tex]

So the roots are at x = 0, x = -2, and x = 1.

The graph with these roots is the second graph (top right).

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the given expression can be solved as follows ~

[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]

taking LCM both the sides ,

[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]

on cross multiplying ,

[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]

let's now gather the like terms at either sides of the equation ~

[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]

on simplifying the equation ,

[tex] \implies \frac{-13}{21}\\[/tex]

hope helpful ~

Answer:

c. y=4x+24

Step-by-step explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

If lines are parallel to each other, they have the same slope.

If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 3, m with 4, and x1 with -5:-

[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]

On simplification,

[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y-3=4x+20}[/tex]

On further simplification,

[tex]\longmapsto\sf{y=4x+20+3}[/tex]

Final equation:-

[tex]\longmapsto\sf{y=4x+23}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4) ⇒ y = 1/5x + 7

Step-by-step explanation:

Let's substitute each pair in the equations to find the right one :

(6, 1)

⇒ 1 = 2/4 (6) - 2

⇒ 1 = 3 - 2

⇒ 1 = 1

⇒ Equation matched √

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8)

⇒ -0.8 = 1/5 (-8) + 7

⇒ -0.8 = -8/5 + 7

⇒ -0.8 = -1.6 + 7

⇒ -0.8 = 5.4

⇒ Incorrect equation ×

⇒ -0.8 = 3/5 (-8) + 4

⇒ -0.8 = -24/5 + 4

⇒ -0.8 = -4.8 + 4

⇒ -0.8 = -0.8

⇒ Equation matched √

⇒ (-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7)

⇒ 0.7 = 3/10 (9) - 2

⇒ 0.7 = 27/10 - 2

⇒ 0.7 = 2.7 - 2

⇒ 0.7 = 0.7

⇒ Equation matched √

⇒ (9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4)

⇒ 7.4 = 1/5 (2) + 7

⇒ 7.4 = 2/5 + 7

⇒ 7.4 = 0.4 + 7

⇒ 7.4 = 7.4

⇒ Equation matched √

⇒ (2, 7.4) ⇒ y = 1/5x + 7

The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequality:

2x – 3y <12

y < –3

If we draw these two inequalities on the graph, we will see:

On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.

Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

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Check the picture below.

Make sure your calculator is in Degree mode.

If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Three trains are made of identical train cars, so each car has the same number of seats.

The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.

If no train has more than 25 seats.

Then the number of the cars on each train will be

Let x, y, and z be the number of the cars in the first, second, and third train.

Then we have

x = 418 / 25

x = 16.75

x ≅ 17

y = 456 / 25

y = 18.24

y ≅ 18

z = 294 / 25

z = 19.76

z ≅ 20

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Answer:

11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train

Step-by-step explanation:

There is a difference of 38 between the numbers 418, 456 and 494.

[tex]418/38=11\\456/38=12\\494/38=13[/tex]

Trust me, this is 100% the correct answer!

hope this helps!

The correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thermoelectric generators are semiconductor solid-state devices that convert a temperature difference and heat flow into a usable DC power source.

The Seebeck effect is used to create voltage in thermoelectric generator semiconductor devices. This voltage is used to drive electrical current and generate usable power at a load.

From the statement given, it is a thermoelectric generator because a thermoelectric power generator transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thus, the correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

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Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

The step that requires revision is step 1: set the compass width to the diameter of the circle

When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.

On no occasion should the width of the compass equal the diameter of the circle.

The step 1 in the question shows that the compass width is set to the diameter of the circle.

This is wrong, and it needs to be revised.

Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.

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This is a 3-D container and the dimensional factor is F=3.  The volume increases by a factor of 33 = 27.

The answer is 4608 x 27 / 123 = 72

Answer:

11, 29, 9

Step-by-step explanation:

substitute x = - 2, 4, 0 into h(x)

h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11

h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29

h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Answer:

BC = 25 in

AN = 12 in

BN = 16 in

NC = 9 in

Formulas:

Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Area of triangle

[tex]A = \frac{1}{2}bh[/tex]

A ... area of triangle

b ... base (one of the sides of the triangle)

h ... height perpendicular to base

Step-by-step explanation:

Given:

A = 90°

AB = 20 in

AC = 15 in

See attached picture.

1) BC

To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.

[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]

2) AN

AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.

Notice how AB is perpendicular to AC. We can use AB as base and AC as height.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]

Now that we have area, we can use BC as base and AN as height and solve for AN.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]

3) BN

Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.

[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]

4) NC

We know the lengths of BC an BN, so we can just subtract.

[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]

Answer:50%

Step-by-step explanation: there is no real answer to your question because 50%is not there

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

The nth term of an arithmetic sequence is given by the formula,

aₙ = a₁ + (n-1)d

Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,

hₙ = 2 + (n-1)4

hₙ = 2 + 4n -4

hₙ = 4n - 2

Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.

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Answer:

38cm

Step-by-step explanation:

set 3x-5 and 19-x equal to eachother, since, given as its an isoscles triangle, they should be equal. After you work out the equation, you're left with x=6. So now you plug that it.

3(6)-5=13

19-(6)=13

2(6)=12

Now you add them all together, so the perimeter is 38 cm.

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer: D

Step-by-step explanation:

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer:

1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:

YX²=(YZ)(YV)

YX=√(YZ)(YV)

YZ=9+19

YV=9

2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:

YX=√(YZ)(YV)

YX=√(9+19)(9)

YX=√(28)(9)

YX=√252

YX=15.87

What is the length of YX?

The answer is: The lenght of YX is 15.87

Answer:

A. Red/Line C

Step-by-step explanation:

Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]

Answer:

Certain and likely.

Answer:

Step-by-step explanation:

How many solutions are in 18+6x=20+6x

18+6x=20+6x

take away 6x from both side

18 = 20

the equation has no solution, 18 is not 20.

Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.

Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.

The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.

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