Use the grouping method to factor the polynomial below completely.
x2 – 3x2 + 5x - 15
A. (x+3)(x - 5)
B. (x - 3)(x+5)
O C. (X - 5)(x+3)
O D. (2 + 5)(x-3)

Answer:

positive slope relationship.

Step-by-step explanation:

When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.

For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.

Please check the attached image for a positively correlated curve

Answer:

8

Step-by-step explanation:

Answer:

$0.50x+5=30

Step-by-step explanation:

maf

Answer:

11.75

Step-by-step explanation:

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 b = 146 - 4 b

Solve for b :

209 - 13 b = 146 - 4 b

209 - 146 = 13 b - 4 b

63 = 9 b

b = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

Step-by-step explanation:

4 + 7 x X = 22

4+7x=22

7x=22-4

7x=18

x=18/7

Answer:

g=r/1+5c3

Step-by-step explanation:

............ ........

Answer:

[tex]8100[/tex], which is the square of [tex]90[/tex].

Step-by-step explanation:

Factor the three divisors into prime numbers:

Any number divisible by these three divisors should include the following factors:

Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)

The product of these three factors would be:

[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].

Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,

[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].

Answer:

8100 is the smallest perfect square divisible by 5,6 and 27

Step-by-step explanation:

5 = 5 * 1

6 = 2 * 3

27 = 3 * 3 *3

5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5

Factors of perfect square will be perfect squares

To make this a perfect, multiply by 5 * 2

Perfect square = 5 * 6 * 27 * 5 * 2

                        = 8100

Answer:

I think that the answer would be question 3

Step-by-step explanation:

I think i remember doing this question

Answer:

This is the answer

Answer: B

Step-by-step explanation:

Answer:

4x+7y

4(3/4) +7(-1/3)

3-7/3

=2/3

please mark as brainliest

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

Answer:

44

Step-by-step explanation:

you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle

Answer:

-22

Step-by-step explanation:

Answer:

Tens, 70, 7x10'1

Exact Form: 47/50

Decimal Form: 0.94

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

Answer/Step-by-step explanation:

Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.

Now briefly, keys state some facts that explains or guides us while solving a problem like this:

1. Point M is the midpoint of segment AB.

2. The midpoint M, is a bisector of segment AB.

3. Segment AB is divided into two congruent or equal parts, AM and MB.

4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).

5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.

6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:

4x - 18 = 2x - 2

Solve for x. Combine like terms.

4x - 2x = 18 - 2

2x = 16

Divide both sides by 2

x = 8

To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)

AM = 4(8) - 18 (Substitution)

AM = 32 - 18

Length of segment AM = 14 units

Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.

She ought to have plug in the value of x into the expression given for the lenght of segment AM.

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

∴

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)

Answer:

The relationship between x and y is;

y = -0.5x - 4.5

Step-by-step explanation:

When x = -1, y = -4.

Thus from y = -0.5x + [?], we have;

-4 = -0.5(-1) + [?]

Let's call the question mark m for easy identification.

-4 = 0.5 + m

m = -4 - 0.5

m = - 4.5

At x = 0, y = - 4.5. Thus;

-4.5 = - 0.5(0) + m

m = -4.5

At x = 1, y = -5. Thus;

-5 = - 0.5(1) + m

-5 = - 0.5 + m

-5 + 0.5 = m

m = -4.5

We are seeing the same patter as m = - 4.5

Thus the relationship between x and y is;

y = -0.5x - 4.5

Answer: 0.75

Step-by-step explanation:

Given the following :

Using the formula above :

___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2

D 1___2____4_____-0.8________-0.4

D 2___4____5_____0_________0

D 3___1____3_____-1.2_________-0.9

D 4___6___ 4_____0.8_________-0.4

D 5___7___9_____ 1.2_________ 1.7

Bag1:

Mean = 4

Standard deviation = 2.5

Bag2:

Mean = 5

Standard deviation = 2.3

Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3

1/ (n-1) × 3

1/(5 - 1) × 3

(1/4) × 3

0.25 * 3 = 0.75

Answer:

0.75

Step-by-step explanation:

Answer:

The correct option is;

Reflection over the y-axis

Step-by-step explanation:

An even function is a function that satisfies the following function equation;

f(x) = f(-x)

Therefore, for an even function, we have;

f(x) - f(-x) = 0

Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x

Therefore, the symmetry of an even function is about the y-axis

However, an odd function is a function that satisfies the following function equation;

f(-x) = -f(x)

Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;

f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).

Hey there!

[tex]-9\frac{1}{6}+7[/tex]

After that, multiply the whole number by the denominator and then add the numerator after you multiply.

[tex]-\frac{55}{6}+1[/tex]

[tex]9*6=54+1=55[/tex]

Now add the negative sign to 55.

[tex]\frac{-55}{6}+7[/tex]

[tex]\frac{-13}{6}[/tex]

Now simplify.

[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

See Below

Step-by-step explanation:

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3x+18=4x+10[/tex]

Subtract 18 from both sides:

[tex]3x+18-18=4x+10-18[/tex]

[tex]3x=4x-8[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-8-4x[/tex]

[tex]-x=-8[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]

[tex]x=8[/tex]

Answer:

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

Hence the value of x is 8

Answer:

ye

Step-by-step explanation: