The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
g(3) 2(1 – 4)² + 3
Which statement is true?
OA
The maximum value of fis greater than the maximum value of g.
The minimum value of gis greater than the minimum value of f.
O B.
Ос.
The minimum value of fis greater than the minimum value of g.
OD
The maximum value of g is greater than the maximum value of f.

Answer:

Given

Given

Transitive

Substitution

Subtraction

Addition

Substitution

Multiplication

Hard to see list of options. But this should help.

Given

Given

Transitive

substitution property of equality

Subtraction property of equality

Addition property of equality

multiplication property of equality

Simplify

simplify

Substitution means putting numbers in place of letters to calculate the value of an expression.

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”

The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

According to the given question.

AB = BC and BC = CD              ( Given)

AB = 3x - 1 and CD = 2x + 3      ( Given)

Since,

AB = BC and BC = CD

⇒ AB = CD  (transitive)

Substitute the value of AB and CD in AB = CD

⇒  [tex]3x - 1 = 2x + 3[/tex]  (substitution property of equality)

⇒  [tex]x -1= 3[/tex]               (subtraction property of equality)

⇒   [tex]x = 4[/tex]                     (Addition property of equality)

Since,

AB = BC

⇒ AB= 3x -1        

⇒ [tex]AB = 3(4) - 1[/tex]                   ( multiplication property of equality)

⇒ [tex]AB = 11[/tex]                          (simplify)                                  

Therefore,

BC = 11                               (simplify)

Find out more information about substitution, addition, subtraction and transitive property of equality  here:

https://brainly.com/question/27810586

#SPJ3

Answer:

D

Step-by-step explanation:

f(x) = x-4

f(3.2) = -3.2-4

= -7.2

Answer:

e t

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is it that you don't understand about how to get this?  

2(4-3x) + 5(2x-3) = 20-5x

Answer:

Step-by-step explanation:

Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;

x + 60° + 60° = [tex]180^{o}[/tex] (sum of angle in a triangle)

x + 120 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 120

x = 60°

Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.

<ABC ≅ <BAC ≅ < ACB ≅ 60°

AB = BC = AC = 10 cm

The required construction for the question is attached to this answer for more clarifications.

Answer:

It's an obtuse angle

Step-by-step explanation:

Answer:

f(x) = [x-(7-2i)][x-(7+2i)]

= [(x-7)+2i][(x-7)-2i]

= (x-7)2 - (2i)2

= x2 - 14x + 49 - 4i2 = x2 - 14x + 49 +4

= x2 - 14x + 53

Answer:

[tex](x-(7-i))[/tex]

Step-by-step explanation:

For a polynomial with roots [tex]a[/tex] and [tex]b[/tex], the polynomial [tex]f(x)[/tex] can be written in factored form [tex](x-a)(x-b)[/tex]. That way, when you plug in any of the roots, [tex]f(x)[/tex] returns zero.

Since the polynomial has at least two roots-9 and 7-i, two of its factors must then be:

[tex](x-(-9)\implies (x+9)\\(x-(7-i))\impli[/tex]

Therefore, the desired answer is [tex]\boxed{(x-(7-i))}[/tex]

Answer:

Question 1:

SAT average divided by budget per student and

SAT average divided by teachers per student

Question 2:

Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4

Answer:

Step-by-step explanation:

[tex]\sqrt[5]{(3y)^{4}} = [(3y)^{4}]^{\frac{1}{5}}=(3y)^{4*\frac{1}{5}}=(3y)^{\frac{4}{5}}[/tex]

Answer:

40

Step-by-step explanation:

A+B+C = 31

Add 3 years to each age

A+3  +B+3  + C+3  = 31 +3+3+3

They will be

A+3  +B+3  + C+3  = 40

Answer:

it will be 40

Step-by-step explanation:

If they are altogether 31 years old now in 3 years we just add 9 thus it is 40

Answer:

The simplified expression has four terms.

The simplified expression has a constant term.

The simplified expression is cubic.

The simplified expression is a trinomial.

The statements that are true about the result of simplifying this polynomial are:

b. The simplified expression is a polynomial.

c. The simplified expression has a constant term.

Sums of terms of the form k x xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. A description of polynomials.

All other options are false. As it is not cubic because it is degree 4, and it does not have four terms as it has five terms. And it is not trinomial as it has five terms, not three.

The full solution is;

t³(8 + 9t) - (t² + 4)(2 - 3t)

8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)

8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t

9t⁴ + 11t³ - 2t² + 12t - 8

Therefore, the correct options are a, and b.

To learn more about polynomials, refer to the below link:

https://brainly.com/question/18077355

#SPJ5

Answer:

A pair of angles is known as complementary angles when the sum of their angles is 90°.

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

p(0)=2

p(1)=2+1+2-1=4

p(2)=2+2+8-8=4

Answer:

I don't know your question sorry

The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.

Area of each square: 10 x 10 = 100

2 x 2 = 4

Total area = 109 + 4 = 104 square ft.

Answer:

it's a negative slope

Step-by-step explanation:

**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**

Answer:

condition

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.

Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer:

[tex] {a}^{b} [/tex]

[tex] {6}^{7} [/tex]

[tex]6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6[/tex]

[tex]279936[/tex]

hope this will help you more

Answer:

Step-by-step explanation:

Volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that

V = 5324 in³

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.

Answer: C

Step-by-step explanation:

Answer:

The two INTEGERS are :-

-3 and +4

-3 * (+4) gives us -12

-3 + (+4) gives us 1

hope it helps

have a nice day

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.