Solve the quadratic equation
d²-5d+6=0

Answer:

Step-by-step explanation:

1.Consider the quadratic relation y = x^2 – 6x – 16.

a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

(x+2)=0; x= -2

(x-8)=0; x = 8

2. Consider the quadratic relation y = 2x^2 + 6x – 80.

a) Factor this equation by:

1. Determining the greatest common factor (GCF).

The GCF is 2: 2*(x^2 + 3x - 40)

2. Factoring the equation using common factoring.

2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:

2*(x + 8)(x - 5)

3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).

2*(x + 8)(x - 5)

b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.

0 = (x + 8) and 0=(x - 5); x = -8, and x=5

Answer:

D

Step-by-step explanation:

∠1 + ∠2  =  180   {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180      

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

     = 3*18 + 3

     = 54 + 3

∠2 = 57°

Answer:

Answer is option D) 57°

Here is the explanation...

Answer:

900[tex]\geq[/tex]50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850[tex]\geq[/tex]10x

Divide by 10 to solve for x:

85[tex]\geq[/tex]x

Nick must work at least 85 hours.

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/

Answer: 30.6 in the moon

the answer is table d !! good luck :)

Answer:

X=1

Step-by-step explanation:

If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.

Part 1

The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.

==================================================

Part 2

Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15

Answer:

i dont understand what your asking

Step-by-step explanation:

Answer: Choice A

y=0.0714x-9.2682

==============================================

Explanation:

I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.

Check out the diagram below.

Answer:

x = 120

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = 70 + 50 = 120

Answer:

X=120

Step-by-step explanation:

exterior angle of triangle is equal to its two opposite interior angles .

hence, X= 70 + 50

= 120

Answer: It will expand by 2 on each side

Step-by-step explanation: each side is 2 blocks long. 2×2=4 therfore the are becomes 16, and each sode is 4 blocks long. No, this is not true for evey square because not every square is a 2×2

Answer:

0.05/min or plus 0.25 every 5 minutes

Step-by-step explanation:

To find the unit rate divide 0.25 by 5:

0.25 ÷ 5= 0.05

OR

After every 5 minutes, Eric has traveled 0.25 miles.

Hope this helps!

Answer:

104.80 cm²

Step-by-step explanation:

Formula to know:   Volume = e³ ; SA = 6e²

V = e³                       Substitute what you know  V = e³ and solve

73 = e³    

[tex]\sqrt[3]{73}[/tex] = e                   one edge of the cube  

Find the SA    

SA = 6e²                  Substitute the value for e      

SA = 6([tex]\sqrt[3]{73}[/tex])²

SA = 6([tex]\sqrt[3]{73} \sqrt[3]{73}[/tex] )

Sa =  104.80

Step-by-step explanation:

a) 6400

b) 4800

c) 32000

hope this answer helps you dear!

Answer:

equilateral

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

Answer:

893

Step-by-step explanation:

you take away from the number and you can get your answer or you can do it different like add the number and get the number of children tickets were sold

Answer:127

all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57

Answer:

f(0) = 4

Step-by-step explanation:

F(x) = 4-8x

We know that f(0) = 4-8x

Thus we sub 0 for the x value, resulting in;

f(0) = 4-8(0)

f(0) = 4-0

f(0) = 4

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) =  2  therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6

(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

I think its A. trust me. peksman. tiwala lang. kasi a function should be unique domains

Answer:39310

Step-by-step explanation: