Given the function f = 2x^{3}+8x^{2}-10x`



Factor completely

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

Answer:

D

Step-by-step explanation:

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

Answer:

2 * (Area/pi)^(1/2) = diameter

Step-by-step explanation:

The equation for the area of a circle is A = pi * r^2

We can divide both sides by pi to get:

A/pi = r^2

Then take the square root of both sides to get:

(A/pi)^(1/2) = r

Then, since D = 2 * r, we can multiply both sides of the above equation by 2 to get:

2 * (A/pi)^(1/2) = 2 * r = D

Answer:

d=2[tex]\sqrt{a/\pi }[/tex]

Step-by-step explanation:

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer: I feel like it's the last one

Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

Answer:

Part A

2·a + b ≤ 14

Part B

Please find attached the graph of the inequality created with Microsoft Excel

Part C

1) 4 pounds of apples + 8 pounds of bananas

2) 8 pounds of apples + 6 pounds of bananas

Step-by-step explanation:

Part A

The amount Tony has to buy apples and bananas = $14

The cost of apples per pound = $2

The cost of bananas per pound = $1

Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;

2·a + b ≤ 14

Part B

In order to plot the inequality, we make one of the variables the subject of the inequality as follows;

b ≤ 14 - 2·a

The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram

Part C

Two possible combinations of pounds of apples and bananas that Tony can buy are;

1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas

2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

Answer:

282 + d

Step-by-step explanation:

Number of miles driven by Deandre for week 1 = 282 miles

Number of miles for week 2 = d

Total number of miles driven for two weeks can be expressed as:

(282 + d) miles

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Answer:

32x - 8

Step-by-step explanation:

A = LW

A = (8x - 2)(4)

A = 32x - 8

Answer:

Yes you're right, it does

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11

Answer:

sides

a=7 (rounded)

b=3 (rounded)

c=8 (rounded)

angles

A=70

B=22.57

C=87.43

Step-by-step explanation:

a .  given

b .  given

c   = a·sin(C)/sin(A)=7.54806

A .  given

B = arcsin (b·sin(A)/a) = = 0.39393 rad = 22.57° = 22°34'13"

C = 180° - A - B = 1.52593 rad = 87.43° = 87°25'47"

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Answer:

4

Step-by-step explanation:

Answer:

Yup it’s 4

Step-by-step explanation:

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Answer:

21

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2

Answer:

6

Step-by-step explanation:

The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.

Answer:

It is Acute

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%