Please help me with this question and show your work please help me NOW

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).

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


2. Consider the quadratic relation y = 2x^2 + 6x – 80. a) Factor this equation by:
1. Determining the greatest common factor (GCF).

2. Factoring the equation using common factoring.

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).

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

Answers

Answer 1

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


Related Questions

how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction

Answers

Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

how do you solve n - 8 > 5

Answers

Answer:

n great than 13.

hope this isn't wrong

The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.

Given is an inequality n - 8 > 5, we need to solve it,

To solve the inequality "n - 8 > 5," you can follow these steps:

Step 1: Add 8 to both sides of the inequality to isolate the variable n.

(n - 8) + 8 > 5 + 8

n - 8 + 8 > 13

n > 13

Step 2: Simplify the inequality.

n > 13

Hence the simplified inequality is n > 13.

Learn more about inequality click;

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9×8 break up into expressions

Answers

9+76578=I the ready is about the long one

what is

4 divided by 1/5

3 divided by 2/3

3 divided by 3/4

4 divided by 2/5

9 divided by 1/2

7 divided by 1/12

5 divided by 2/6

2 divided by 1/4​

Answers

Step-by-step explanation:

0.50.9divides very well

Answer:

1. 4  divided by 1/5 = 20

2. 3 divided by 2/3= 9/2

3. 3 divided by 3/4= 4.5

4. 4 divided by 2/5= 10

5. 9 divided by 1/2= 18

6. 7 divided by 1/12= 84

7. 5 divided by 2/6= 15

8. 2 divided by 1/4= 8

Step-by-step explanation:

i used my fraction calculator

Which of the following systems of inequalities has no solution?

Answers

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

B.
E.
20 cm
7 cm
11 cm
-
Find volume

Answers

Step-by-step explanation:

The volume of cylinder = [tex]\pi r^{2}h[/tex]

The radius of cylinder = 20 ÷ 2 = 10

The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]

= [tex](22)(100)[/tex] = 2200

please give me a brainliest answer

Answer:

Volume of cylinder = 2,198 cm

Solution:

volume of a cylinder = area of base(pi × radius²) × altitude (height)

Volume = πr² × altitude

V = 3.14 × 10² × 7

V = 3.14 × 100 × 7

V = 314 × 7

V = 2,198 cm

if f(x)=3x-15 and g(x)=2x+11; find f(g(2))

Answers

Answer:

f(g(2)) = 30

Step-by-step explanation:

Evaluate g(2) , then substitute the value obtained into f(x)

g(2) = 2(2) + 11 = 4 + 11 = 15 , then

f(15) = 3(15) - 15 = 45 - 15 = 30

Step-by-step explanation:

[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]

f(g(2)) = 30 is the right answer.

If line AB is congruent to line CD then CD is congruent to AB what property

Answers

Transitive property

Can you help me find x
8th grade math

Answers

Answer:

x=53

Step-by-step explanation:

all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is

180-74=106

106/2= 53

Answer:x=52

180-74=104

104 divided by 2 to get 52

Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52

I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.

Answers

Evaluating expressions involve substituting the given value for x into the equation.

If x = 5:

4x + 10 = 4(5) + 10 = 20 + 10 = 30

Therefore, 4x + 10 = 30 when x = 5.

Solve for B
A=3B+4C
B=?​

Answers

Answer:

[tex]3b + 4c = a[/tex]

[tex]3b = a - 4c[/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]

Step-by-step explanation:

Thanks!!!!!

2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?

Answers

Answer:

shop b

Step-by-step explanation:

AYUDA porfavor

asdfghjk,l.

Answers

Answer:

english please?

Step-by-step explanation:

Answer:

english pls

Step-by-step explanation:

i don't understand this question somebody help

Answers

Answer:

Explanation is in a file

Please help me if u can that would be GREAT Thanks

Answers

Answer:

12.5 or 25/2!

Step-by-step explanation:

Multiply the first two as improper fractions then divide it by 2/3!

For how many values of x is the function _____ discontinuous?

Answers

Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

Find the next three terms of the arithmetic sequence.

-14, -19, -24, . . .

Answers

Answer:

-29, -34, -39

Step-by-step explanation:

the numbers are going down by five each time.

-24-5=-29

-29-5=-34

-34-5=-39

Hope this helps!

Answer:

-29

Step-by-step explanation:

because -14 and -19 is minus 5

Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.

Answers

answer 10.80 x Y = X

Multiple Choice Find the mean: 12, 8, 7, 10, 8, 8, 10

Answers

Answer:

The mean is 9

Step-by-step explanation:

To find the mean, all you do is add up all the numbers and then divide by how many numbers there are. In this case, adding all then numbers up gives you 63, and there are a total of 7 numbers. 63 divided by 7 =9

geometry hw!!! picture is above

Answers

X=12 because 73-3x=61-2x so add 3x to both to make 73=61+X then subtract 61 from both to get 12=X

During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the temperatures of the ten day period A. is negative since all the numbers are negative B. must be at least zero C. can not be computed since all the numbers are negative D. can be either negative or positive

Answers

Using the variance concept, it is found that the correct option is:

B. must be at least zero

The mean of a data-set is the sum of all observations divided by the number of observations.The variance of a data-set is the sum of the differences squared between each term and the mean, divided by the number of values.

Since the variance is squared, it's minimum value is 0, and thus, the correct option is:

B. must be at least zero

A similar problem is given at https://brainly.com/question/14946088

The fraction mode below shows the steps a student performed to find a quotient. Which statement best interprets the quotient

Answers

Answer: i belive its C

Step-by-step explanation: May i have brainiest

What is the solution to the following equation?
5x+7X = 60
A. X = 12
B. X = 15
C. = 5
D. X-2

Answers

the answer is C, x = 5

Answer:

c 5

Step-by-step explanation:

please help i need help

Answers

Answer:

fractions

d

its right answer

Answer:

The answer to your question is D Fractions

Step-by-step explanation:

Fractions and decimals are two different ways to represent parts of a whole number.

I hope this helps!

just do a c e g and i​

Answers

Answer:

A, 1.57

C.0.971

E.88.3

G.3.28

I.72.9

Answer:

a) 0.47÷0.3 =1.567

c)0.068÷0.07 =0.971

e)0.53÷0.006=88.333

g)3.61÷1.1=3.282

I)6.56÷0.09=73.889

Pls help with these questions!!!

Answers

Answer:

[tex]9 \times 9 - 3 = 81 - 3 = 78[/tex]

After 3.5 days, the height of the plant is ______
centimeters.

The height of the plant is 6.25 centimeters after _______
days.

Answers

Answer: I think this is what the top answer meant. Let me know if I am wrong though!

After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.

Given that a function h = 0.5d + 4 showing the height h of a plant in d days,

So, the equation of the line is:

h = 0.5d + 4

For 3.5 days put d = 3.5,

h = 0.5(3.5) + 4

h = 5.75 cm

To find the number of days after height of the plant is 6.25 centimeters.

Put h = 6.25,

6.25 = 0.5d + 4

2.25 = 0.5d

d = 4.5 days

Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.

Learn more about functions here:

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Complete question is attached.

Help please help me

Answers

Answer:Hi

Step-by-step explanation:  

z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =

Answers

Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

1/3 *3/3 = 3/9

z−4/9−3/9=5/9

Combine like terms

z -7/9 = 5/9

Add 7/9 to each side

z-7/9+7/9 = 5/9+7/9

z = 12/9

z=4/3

or as a mixed number

z = 1 1/3

i dont understand this

Answers

Answer:

18°

Step-by-step explanation:

1. ∠A and ∠B are complementary angles, so they add up to 90°.

This means that 2x - 4 + 5x + 17 = 90

2. To find the measure of ∠A, we first have to solve for x.

3. (Solving)

Step 1: Simplify both sides of the equation.

[tex](2x+5x)+(-4+17)=90[/tex] [tex]7x+13 = 90[/tex]

Step 2: Subtract 13 from both sides.

[tex]7x + 13 - 13 = 90 - 13[/tex] [tex]7x = 77[/tex]

Step 3: Divide both sides by 7.

[tex]\frac{7x}{7} = \frac{77}{7}[/tex] [tex]x = 11[/tex]

4. Now that we know x = 11, let's plug that value into (2x - 4) to find the measure of Angle A.

[tex]2(11)-4[/tex] [tex]22-4[/tex] [tex]18[/tex]

Therefore, the measure of ∠A = 18°.

Answer:

m<A = 18

Step-by-step explanation:

Since <A and <B are complementary angles, that just means those 2 angles combined equal 90:

<A + <B = 90

2x - 4 + 5x + 17 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77/7

x = 11

m<A:

2x - 4

2(11) - 4

22 - 4

18

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