Quadratic Functions - Part 2
Graphing Quadratic Functions Using Vertex Form - Part 1
Independence Practice

1. Identify the vertex, complete the table and graph g(x) = (x – 4)^2 – 5.

2. Identify the vertex, complete the table and graph h(x) = (x + 1)^2 + 4.

Answer:

-5(y+7)

Step-by-step explanation:

Well, the numbers you can divide 5 with are 1 and 5.

35 divides both with 1 and 5 too, but since 5 is the greatest, you choose 5.

so,

you divide both with -5, since both are negative.

-5y/-5 = y

-35/-5 = 7

so,

-5(y+7)

check:

-5*y = -5y

-5*7 = -35

so,

-5y-35, that's true.

Answer:

GCF = 5

Step-by-step explanation:

for the values 5, 35

Solution by Factorization:

The factors of 5 are: 1, 5

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5.

Answer:

$8.75

Step-by-step explanation:

12 + 28.50 = 40.50

40.50 - 31.75 = 8.75

Answer:

$5.75

Step-by-step explanation:

40.50 - 31.75 = 5.75

Answer:

8(5+8)

Step-by-step explanation:

The GCF of 40 and 64 is 8. Then you divide 40 and 64 by 8.

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus, the option D is the correct option, which is a number that can be written as a decimal that neither repeats nor terminates.

What is a irrational number?

Irrational numbers are the number which is the real number but not the rational number(a/b).The irrational numbers can not be represents in the fractional form.

Irrational numbers are written in the form of root of a number such as,

,    ,     etc.

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal.

Lets check all the given options as,

A) A number that can be written as a decimal that repeats and does not terminate- Irrational numbers is a decimal which does not repeats. Thus this is not correct option.

B) A number that can be written as a decimal that terminates and does not repeat- Irrational numbers is a decimal which does not terminate. Thus this is not correct option.

C) A number that can be written as a square root that does not result in a whole number-This does not explain the property of irrational number. Thus this is not correct option.

D) A number that can be written as a decimal that neither repeats nor terminates-Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus this is the correct option.

Hence, A number that can be written as a decimal that neither repeats nor terminates the option D is the correct option.

Answer:

Step-by-step explanation:

Hypotenuse: This the longest side of right angle triangle and it is opposite to 90°

[tex]1) Sin \ P = \dfrac{Oppossite \ side \ of \ \angle P}{hypotenuse}\\\\ =\dfrac{4\sqrt{10}}{14}[/tex]

[tex]Cos \ P =\dfrac{adjacent \ side \ of \angle P}{hypotenuse}\\=\dfrac{6}{14}[/tex]

[tex]7)\sf Cos \ X = \dfrac{adjacent \ side \ of \angle X}{hypotenuse}\\\\Cos \ X =\dfrac{8}{18}\\\\Cos \ X = 0.4\\\\X = Cos^{-1} \ 0.4[/tex]

X = 66°

8) Here, opposite side is given and we have to find hypotenuse. So, use Sin.

[tex]Sin \ 65 =\dfrac{10}{x}\\\\0.9 *x = 10\\\\x =\dfrac{10}{0.9}[/tex]

x = 11.1

10) Here, opposite side is given and we have to find hypotenuse. So, use Sin to find x

[tex]Sin \ X =\dfrac{6}{9}\\\\Sin \ X = 0.67\\\\x= Sin^{-1} \ 0.97[/tex]

x = 42°

Answer:

The given shape is Trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7×(11+3

=1/2×7×14

=49

Your answer is 49

[tex] \mathcal{SOLUTION: }[/tex]

Therefore, the value of 6! is 720.

━┈─────────────────────┈━

[tex] \mathcal{SOLUTION: }[/tex]

Therefore, the value of the given expression is 12.

━┈─────────────────────┈━

ฅ^•ﻌ•^ฅ

_______________∞_______________

Answer:

the first one would actually negative because to the left is negative and to the right is positive. and you got the y wrong, that is actually a 2 because you dont include the line you count from, making it (-3,2).

the second one would be perfectly correct.

the third one is actually (-2,-2) and i have no idea how you got that answer, how you would count it 0, its to the left -2 and down -2.

the fourth one, would be actually (-6,-1), remember, a point goes (x,y)

Answer:

y=7/2 x − 13/4

Step-by-step explanation:

Answer:

y=(14x-13)÷4

Step-by-step explanation:

1. Subtract 14x from both sides

2. DIvide by -4

The number of tiles (y) at any x stage is given by the equation y = 2x - 1

An equation is an expression that shows the relationship between two or more variables and numbers.

From the table, the number of tiles increases by 2 for every additional stage. Let y represent the number of tiles and x represent the stage, hence:

y = 1 + (x - 1)2

y = 2x - 1

The number of tiles (y) at any x stage is given by the equation y = 2x - 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

let x be the number we are looking for

Mathematically the statement “4 less than four times a number”

means 4x - 4

Mathematically the statement “three times the same number plus 1” 

means 3x + 1

Statement 1 is equal to statement 2

means 4x - 4 = 3x + 1

We got an equation and we need to solve it :

4x - 4 = 3x + 1

⇔ 4x - 3x = 1 + 4

⇔ x = 5

Answer:

when DAE is at 16° and EDC is at 64° then ABC is at 45° and BCD is at 55°.

Answer:

45.7% or if rounded, 46%

Step-by-step explanation:

1st, you add up the total of people in the House of Representatives.

238+201=439

Then divide the number of Democrats 201 by the total number 439 to get .457  which is 45.7% or if you need to round 46%

To double check, multiply the total number 439 X 45.7% to get 200.6

If y = 11, then:

 ⇒ [tex]36 - 3y = 36 - 3(11) = 36 - 33 = 3[/tex]

For the order of operation, use PEMDAS, attached the image below

Hope that helps!

Answer:

A history

Step-by-step explanation:

Answer:

72% aprox

Step-by-step explanation:

3.35-0.93=2.42

2.42/3.35   times 100   =   72% aprox

make me brainliest

Answer:

x > -9

Step-by-step explanation:

Hello!

We can solve this equation like any normal equation, just remember to flip the sign when dividing or multiplying by a negative number.

Your solution is x > -9

Hi! I am new here!♡

Hope it helped! Stay healthy!♡

x/3+5>3 => x/3> -3

x> -9

Subtraction is a mathematical operation. The best policy to buy is a 20-year term policy.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Since we want the policy to last till the younger child is 22 years. And the present age of the younger child is 3 years. Therefore, the period for which the policy must work is 19 years (22-3).

Therefore, the best policy to buy is a 20-year term policy.

Learn more about Subtraction:

https://brainly.com/question/1927340

product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

[tex]y=-\frac{1}{2}(x)-4[/tex]

B) 153 yd²

hope this helps :)

Answer:

exponential equation

thia is the form of quadratic equation

Answer:

Step-by-step explanation:

x=first number; y=second number

x+y=85

y-4=2x

Solve-

y=85-x

(85-x)-4=2x

81=3x

x=27

Plug in-

(27)+y=85

y=58

Answer:

2 to 6, 2/6, or 2:6

Step-by-step explanation:

a ratio is a comparison of two values expressed as a quotient

Answer:

Step-by-step explanation:

Kiran can know for sure that it is incorrect by substituting x with 1/4

Solving for the equation gives 4(1/4 + 3) = 7
distributing gives 1 + 3 = 7
obviously this is incorrect

b)
Andre's error is that he didnt distribute 7
Distributing 7 results in
4x + 12 = 7
then subtracting 12 from both sides
4x = -5
x = -5/4

Answer:

x=-1.25

Step-by-step explanation:

well he was wrong about the 4x = 1.

4(x+3)=7

4x+12=7    1. - 12 on both sides

4x=-5   2. 4 on both sides

x=-1.25

Answer: -110

Step-by-step explanation:

Answer:

24/5  miles/hour    = 4.8 miles /hour

Step-by-step explanation:

(4/5) x6 = 24/5 = 4.8

Answer:

[tex]\frac{24}{5}\ \small (m/h)[/tex]

Step-by-step explanation:

He jogs

4/5 mile in 1/6 hour

then ,He jogs (we multiply both sides by 6)

[tex]6\times \frac{4}{5} m\ \ \ \text{in} \ \ \ 6\times \frac{1}{6} h[/tex]

then ,He jogs

[tex]\frac{24}{5} m\ \ \ \text{in} \ \ \ \frac{6}{6} h\\\\\text then \ he \ jogs\\ \frac{24}{5} m\ \ \ \text{in} \ \ \ 1 h\\[/tex]

Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: [tex]\sqrt[3]{200} =2\sqrt[3]{25}[/tex]

Hope this helps!

Answer:

∠ E = 43°

Step-by-step explanation:

∠ BGE and ∠ FHC are alternate exterior angles and are congruent , then

∠ BGE = 119°

the sum of the 3 angles in Δ BGE = 180°, that is

∠ E + 18° + 119° = 180°

∠ E + 137° = 180° ( subtract 137° from both sides )

∠ E = 43°

Answer:

43

Step-by-step explanation:

so, it gives your angle FHC and angle B. remember B because it is important a little later, so you know that angle FHC=119. and if you remember learning congruent angles, you would know that angle HGA also equals 119 because they are corrisponding angles. so, you know they are corrisponding, how does that help you? well, if you remember learning that vertical angles are congruent, then it tells you that FHC=HGA, also meaning that HGA=119. and remember how you know that angle B=18? this also helps because you know that a triangles angles always equal 180, so you simply add 119+18=137 degrees, and you want the unknown angle being m<E and which to find you simply subtract 180-137=43 so, M<E=43 because subtracting 180-137 gives you the unknown.