3. Factor the following trinomial. x^2 - 15x + 56.

Step 1: The trinomial factors as x2 + bx+ c = (x + p)(x + 9), where p+ q = b and p. q = c. Fill in the
following table with all of the possible values of p and q, using the fact that their product is the
constant term, c = 56. (4 points)

Answer: {t| t ≥ 2}

Step-by-step explanation:

3t - 6 ≥ t - 2

-t         -t

---------------------

2t - 6 ≥ -2

   +6    +6

---------------------

2t ≥ 4

t ≥ 2

Answer:

4.8% probability of a customer getting a blue tote bag or blue pen.

Step-by-step explanation:

We have these following probabilities:

0.008 probability of a customer receiving a blue pen.

0.04 probability of a customer receiing a blue tote bag.

What statement describes the likelihood of a customer getting a blue tote bag or blue pen?

Independent events, so

0.008 + 0.04 = 0.048 = 4.8% probability of a customer getting a blue tote bag or blue pen.

Answer:

Answer

Step-by-step explanation:

if you spent 180 dollars, wguch was 90 percent of your money, you want to mark it up 10 percent. 180 x 1.10 is 198

Answer:

180%

Step-by-step explanation:

Answer:

The investors are: -3, -1 and 1

Step-by-step explanation:

Given

Three consecutive odd numbers

[tex]Sum = -3[/tex]

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

[tex]Sum = x + x + 2 + x +4[/tex]

[tex]Sum = 3x +6[/tex]

[tex]3x +6 = -3[/tex]

Collect Like Terms

[tex]3x = -3-6[/tex]

[tex]3x = -9[/tex]

[tex]x=-3[/tex]

The other two are:

[tex]x + 2 = -3 + 2 = -1[/tex]

[tex]x + 4 = -3 + 4 = 1[/tex]

Hence, the investors are: -3, -1 and 1

Answer:

Notice, period of function sin(kx) is 2π/k where k is constant (coefficient of x ) since coefficient of x in sin(2πx/3) is k=2π/3  hence the period of sin(2πx/3) is 2π/(2π/3)=3

Step-by-step explanation:

Answer:

positive9/50

Step-by-step explanation:

9/50

Answer:

the answer is 9/50 (fraction).

Step-by-step explanation:

hope this helped!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-sTrue

tep explanation:

Answer:

1: False

2: True

3: True

4: True

5: False

Step-by-step explanation:

Answer:

If x and y are the hours she drove at the different rates, then:

x+y=5

80x+100y=440

-------

80x+100y=440

80x+80y=400

20y=40

y=2

x=3

She drove 3 hours at 80 kmh and 2 hours at 100kmh!!!!!!!

Step-by-step explanation:

Answer:

7xy -4y + 3

Step-by-step explanation:

combine 9xy and -2xy (7xy - 3y -y +3)

combine -3y and -y (7xy - 4y + 3)

all done yay

Answer:

3/6 & 2/6

1/2 x 3, 1x3=3, 2x3=6, so it's 3/6.

1/3 x 2, 1x2=2, 3x2=6, so it's 2/6.

Answer:

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

5% use neither of these facilities.

This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]

75% use the golf course, 50% use the tennis courts

This means, respectively, by:

[tex]P(A) = 0.75, P(B) = 0.5[/tex]

Probability that a member uses both:

This is [tex]P(A \cap B)[/tex]. We have that:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

So

[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]

What is the probability that the member uses the golf course but not the tennis courts?

This is [tex]P(A - B)[/tex], which is given by:

[tex]P(A - B) = P(A) - P(A \cap B)[/tex]

So

[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Answer: D and E I'm sure

Answer:

8 is its opposite,

Step-by-step explanation:

Answer:

I don't even get what you want us to do

Step-by-step explanation:

Answer:

she bought teddy bear with her money, 6 dollars went to charity

Answer:

Yes

Step-by-step explanation:

Because you're multiplying by 1 so it stays the same value

Answer:

=42t+16

Step-by-step explanation:

=2t+(4)(4)+(4)(10t)

=2t+16+40t

=2t+16+40t

=(2t+40t)+(16)

=42t+16

Simplify the expression

2t + 4(4 + 10t)

Simplifying

y = 2t4 + -10t2 + 13

Reorder the terms:

y = 13 + -10t2 + 2t4

Solving

Solving for variy = 13 + -10t2 + 2t4

able 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 13 + -10t2 + 2t4

Hence the information I've given you, we can now state that the answer is

42 t  +  16  

Answer:

The slopes if the two lines will be the exact same

Step-by-step explanation:

the only way for a system of equations to have indefinitely many solutions would have to be having the same equation. same equation means same slope and y intercept

Answer:

city a and b 1.2672e+8

city c and d 2.5978e+8

Step-by-step explanation

Answer:

[tex]Probability = \frac{1}{11}[/tex]

Step-by-step explanation:

Given

Marbles = 12

Selection without replacement

Required

Determine the probability of selecting 2 primes

Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11

So, when the first marble is picked, the probability that it will be prime is:

[tex]P(First) = \frac{4}{12}[/tex]

Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:

[tex]P(Second) = \frac{3}{11}[/tex]

The required probability is:

[tex]Probability = P(First) * P(Second)[/tex]

[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]

[tex]Probability = \frac{1}{11}[/tex]

Answer:

[tex](-1,2)[/tex]

Step-by-step explanation:

The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]

The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.

The+2 outside the absolute value vertically shifts the graph 2 units upward.

So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Complementary angles add up to 90 degrees

It is just a rule that is important to geometry

I hope that helps :)

Answer:

Add up to 180 degrees

Step-by-step explanation:

Supplementary angles can be two separate angles and the acute angles of a right triangle are complementary which make option 3 false. They are not always congruent and do not add up to 90 degree in total. Making option 1 and 4 false as well.

Answer:

4000÷9 the answer it gaves for one you add it to the 4000

Answer:

1.0833333 Feet

Hope this helps! If I could have brainliest im trying to level up.

Step-by-step explanation:

13 Inches =

1.0833333 Feet

(rounded to 8 digits)

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

Answer:

The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3

Step-by-step explanation:

Hope this Helped