Find the difference. Write your answer in simplest form.

4 - 1 1/4

[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]

These are x-intercepts form. So the answer is (x+7)(x-3).

Answer:

y=16x

96

Step-by-step explanation:

Answer:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Symbol: m

[tex]m=\frac{3}{4}[/tex]

Answer:

No it wouldn’t be

Step-by-step explanation:

Well lets say the cost of 6.99 is rounded up to 7 since its a penny short.

There are 6 people and 6*7=42

So the answer would be about 42 dollars which is 12 dollars off.

Even if we round down the 6.99 to 6 it would still be 6 dollars off and thats still a low estimate

Answer:

IM YOUR ANSWER

Step-by-step explanation:

Answer:

x ≈ 74.3

Step-by-step explanation:

Using the tangent ratio in the right triangle, that is

tan22° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )

x × tan22° = 30 ( divide both sides by tan22° )

x = [tex]\frac{30}{tan22}[/tex] ≈ 74.3 ( to the nearest tenth )

Answer:C and D I hope that helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is A OK

Answer:

Step-by-step explanation:

(6 x 10^8) =600,000,000

(1.5 x 10^-4) = 0.00015

________________________________________

600,000,000 ÷ 0.00015 = 4 ×10^12

Answer:

11

Step-by-step explanation:

1/2 * 2 = 1, 5 1/2 * 2 = 11.

Answer:

3. The vertex form of the function, f(x) = x² - 4·x - 17 is f(x) = (x - 2)² - 21

4. The solutions are, x = -2 + √10 and x = -2 - √10

5. The quadratic equation with vertex (3, 1) and a = 1 in standard form is given as follows;

f(x) = x² - 6·x + 10

Step-by-step explanation:

3. The function given in standard form is f(x) = x² - 4·x - 17, which is the form, f(x) = a·x² + b·x + c

The vertex form of the of a quadratic function can be presented based on the above standard form as follows;

f(x) = a(x - h)² + k

Where;

(h, k) = The coordinate of the vertex

h = -b/2a

k = f(h)

Comparing with the given equation, we have;

f(x) = a·x² + b·x + c = x² - 4·x - 17

a = 1

b = -4

c = -17

∴ h = -(-4)/(2 × 1) = 2

h = 2

k = f(h) = f(2) = 2² - 4 × 2 - 17 = -21

k = -21

The vertex form of the function, f(x) = x² - 4·x - 17 is therefore, given as follows;

f(x) = (x - 2)² - 21

4. The given equation for which we need to solve by completing the square is 2·x² + 8·x = 12

Dividing the given equation by 2 gives;

x² + 4·x = 6

Which is of the form, x² + b·x = c

Where;

a = 1

b = 4

c = 6

From which we add (b/2)² to both sides to get x² + b·x + (b/2)² = c + (b/2)²

Adding (b/2)² = (4/2)² to both sides of x² + 4·x = 6 gives;

x² + 4·x + 4 = 6 + 4

(x + 2)² = 10

x + 2 = ±√10

x = -2 ± √10

The solution are, x = -2 + √10 and x = -2 - √10

5. Given that the value of the vertex = (3, 1), and a = 1, we have;

The vertex, (h, k) = (3, 1)

h = 3, k = 1

Therefore, h = 3 = -b/(2 × a) = -b/(2 × 1)

∴ -b = 2 × 3 = 6

b = -6

k = f(h) = a·h² + b·h + c, by substitution, we have;

k = f(3) = 1 × 3² + (-6) × 3 + c = 1

∴ c = 1 - (1 × 3² + (-6) × 3) = 10

c = 10

The quadratic equation with vertex (3, 1) and a = 1 in standard form, f(x) a·x² + b·x + c is therefor;

f(x) = x² - 6·x + 10

Answer:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

Step-by-step explanation:

8^2+√34^2

64+1156

1227

√1227

35.02

Answer:

16.

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

            =16

Answer:

(using PEMDAS)

3(6-8)2+8/2

3(-2)2+8/2

-6*2+8/2

-12+4

-8

(this is if the 2 is NOT an exponent)

Answer:

(f * g)(x) = -18x² + 63x - 55

General Formulas and Concepts:

Algebra

Step-by-step explanation:

Step 1: Define

f(x) = -6x + 11

g(x) = 3x - 5

(f * g)(x) is f(x) · g(x)

Step 2: Find

Answer:

40 miles

Step-by-step explanation:

Step one:

given data

let the total distance to be covered by Kasey by the end of the month be x

Required is x

so

60% of x= 24

60/100*x= 24

0.6x= 24

divide both sides by 0.6

x= 24/0.6

x=40 miles

Answer:

83

Step-by-step explanation:

there is many ways to do it!! HOPE YOU ACE IT

The number of students, n that possibly eat lunch at school, n = 531 or more students.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch.

The number of students who bring lunch, is;

B > 485 students

The number of student who eat lunch in school, E = B + 45

Thus, E > 485 + 45

The number of student that possibly eat lunch in school, E > 530 students.

The number of students, n that possibly eat lunch at school, n = 531 or more students.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

The measure of angle ABC is 132°.

The total measure of ABC and BCD is 180° because it is a straight angle.

If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.

Answer:

23

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Since the exterior angles of a triangle always add up to 360:

360 - 133 - 142 = 85

Step-by-step explanation:

all 3 indicated angles are outside angles of a triangle.

the sum of all outside angles of any polygon is 360°.

so,

N = 360 - 133 - 142 = 85°

Answer:

it's D

Step-by-step explanation:

4x represents the hours and A, B, and C doesn't make sense especially c because it has a -4 so the correct answer is D I'm sure

Answer:

Choice D  y = 4x -12

Step-by-step explanation:

Since Kevin owes his brother $12, we can clarify that b=-12. He also has a babysitting job where he receives $4 an hour which we can express as 4x; let x represent the amount of hours he works.

The graph equation is y=mx + b

so, y = 4x -12

Answer:

7.14 well be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

15/20 X 100% = 75%

Therefore 75% of marbles were blue

Answer:

21

Step-by-step explanation:

Because h(3) times h(7) is equal to 21.

Hope it helps!

Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

Answer:

7√2

Step-by-step explanation:

Answer:

I think that is simplyfied

Step-by-step explanation:

Answer: i explained it

Step-by-step explanation:

list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.