(x² + 6x − 16)(x − 2) = ax³ + bx² + cx + d

What is the value of c/b?

Select one:
A. 8
B. 7
C. -7
D. -8

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-1,-5[/tex]

________________________________________

Answer:

The prime factors of 110 are 2, 5, and 11.

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

2 x 5 x 11 = 110.

Step-by-step explanation:

The prime factors of 110 are 2, 5, and 11.

-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110

-Prime Factorization of 110: 110 = 2 × 5 × 11

1 × 110 = 110

2 × 55 = 110  

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

Answer:

50.8

Step-by-step explanation:

Answer:

Perimeter = 9700 cm

Step-by-step explanation:

Dimensions of sides are;

12, 2x, 12, 5, 5, circumference of semi circle

Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14

We see that x is the diameter. Thus, x = 14

Thus; base of trapezium that is 2x = 2 × 14 = 28

Also, circumference of semi circle = 2πr = 2π × 7 = 44

Thus;

Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44

Perimeter = 97 m

Converting to cm, we multiply by 100 to get;

Perimeter = 97 × 100 cm

Perimeter = 9700 cm

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

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

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )

Answer:

4/5=bc/8

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = x^2 +2x -8

Step-by-step explanation:

If p and q are zeros of a quadratic, its factored form is ...

  f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

  f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

  f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

  f(x) = x^2 +2x -8

Answer:

y = x + 11

Step-by-step explanation:

x = Number of donuts Dave sells

y = Total amount of donuts Alex sells

Amount earned by Alex = $11 more than Dave's earning

This means y is greater than x by $11

Total amount of donuts Alex sells = Number of donuts Dave sells + $11

y = x + 11

Answer:

5kg

Step-by-step explanation:

Here the given force is 2500N and

acceleration is 500m/s²

Now,

F = ma

m = F/a = 2500/500 = 5kg

Thus, The mass is 5kg

-TheUnknownScientist

Answer:

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $3.25 for 1 gallon of gasoline.

Step-by-step explanation:

To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.

Noah spent $66 for 20 gallons of gasoline.

Amount spent $66, 20 gallons. So

66/20 = $3.3

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $81.25 for 25 gallons of gasoline.

Amount spent $81.25, 25 gallons. So

81.25/25 = $3.25

Lydia spent $3.25 for 1 gallon of gasoline.

Answer:

132in²

Step-by-step explanation:

Answer:

height of the utility pole = 12 meters

Step-by-step explanation:

It is simple application of Pythagoras theorem.

In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.

The applying Pythagoras theorem.

H^2 = P^2 +B^2

⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144

⇒ P = 12 meters

hence, height of the utility pole = 12 meters

Answer:

Step-by-step explanation:

Total handshakes:

Answer:

(1,2) is your vertex and (2,3) is your second point

Step-by-step explanation:

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:
i got it right on the quiz

Answer:

xjxjxjzjzjxxjxjxjxjx

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

Answer:

creo que si

Step-by-step explanation:

primero hacemos lo primero

y luego lo segundo

Answer:

first answer  20

Second answer 1/2

For the last on I think it’s 1/4

Step-by-step explanation:

Lol Sorry if I’m wrong

Answer:

1. 5 1/4 or 5.25 or 21/4

2. 1/2

3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75

Step-by-step explanation:

Answer: with these values I don't find any of cones

Step-by-step explanation: volume is 1/3 x pi x r^2 x h

And radius r = diameter/2. Is you round pi/3 =1 it's easier.

Possible measures: d=2 and h=18

D= 4 and h= 4.5 or d= 6 and h=2

Answer:

should be like 1 out of 6 chances

Step-by-step explanation:

Answer:

-7 to 7

Step-by-step explanation:

it is the range of the x values

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer:

21 & 23

Hope that helps!

Step-by-step explanation:

the length of point AC is 13.67cm

Answer:

Number of weeks= 3.63 weeks

Step-by-step explanation:

First, we need to determine the total amount to be saved:

Difference= 500 - 256

Difference= $254

Now, the number of weeks given the following formula:

Number of weeks= amount to be saved / savings per week

Number of weeks= 254 / 70

Number of weeks= 3.63 weeks

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation: