If f(x) = x + 2 and g(x) = 3x +4, then (g°f)(x) = ?
A) 3x +6
B) 3x +10
C) 3x² + 6x +4
D) 3x² - 10x +6​

Since the shape is a parallelogram, there are 2 pairs of opposite but equal sides --> "6a+21" and "20a+7"                   "11a" and "4a+7"

The easier pair is

11a = 4a+7              Subject 4a from both sides

7a = 7                     Divide 7 from both sides

a = 1

A = 1    

Answer:

they want to know all the angles that are the same (congruent) s angle 8

Step-by-step explanation:

by inspection we can tell which are the same at angel 8

2,3,5 are all the same as angle 8

Answer: 285.1 square yards

Step-by-step explanation:

Answer:

Mrs. Foster's class had the most students in class that Friday

Step-by-step explanation:

Mr Lopez - 92.5%

Mrs Foster - 19/20

Mr Kelly - 0.9

Let's say that there were 40 students in class

92.5% of 40 would be 37

So

Mr Lopez's Class had 37 students.

19/20 of 40 would be 38

So

Mrs Foster's Class had 38 students

0.9 of 40 would be 36

So

Ms Kelly's class had 36 students

Therefore, from looking at this, the answer would be Mrs Foster's Class

Answer: x = 1

Step-by-step explanation:

[tex]\mathrm{The \ quadratic \ equation \ with \ roots \ at \ -4 \ and \ 6 \ is \ given \ by:}\\$$\begin{aligned}&y=(x+4)(x-6) \\&y=xx+x\left(-6\right)+4x+4\left(-6\right) \\&y=x^2-2x-24\end{aligned}$$[/tex]

[tex]\mathrm{For \ a \ quadratic \ equation \ in \ standard-form \ $y=ax^{2}+b x+c$.}\\The axis of symmetry is a vertical line $ x=\frac{-b}{2 a} . \\ \marthm{Here } \ b & =-2 \quad, \ a=1\end{array}$[/tex]

[tex]x=\frac{-(-2)}{2 \times 1}=\frac{2}{2}=1 \\\\ \mathrm{Therefore \ x=1 \ is \ the \ equation \ of \ the \ axis \ of \ symmetry \ of \ F}[/tex]

Answer:

76

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

Given

3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10, c = 2 , then

b² - 4ac = (- 10)² - (4 × 3 × 2 ) = 100 - 24 = 76

Answer:

160 square units

Step-by-step explanation:

First, lets focus on the triangles.

To find the area of a right triangle, we need to multiply the length by the width, and divide by 2.

(5 * 8) / 2 = 20

(And since there is two triangles, the area of the two is 40.)

To find the area of a rectangle, we need to multiply the length by the width.

15 * 8 = 120

Now we add all the areas together.

120 + 20 + 20 = 160

Is the answer is 160 square units.

The correct answer is OA. It is the graph of f(x) translated 11 units to the right.

The transformation g(x) = f(x - 11) represents a horizontal translation of the graph of f(x) = x.

When we substitute x - 11 into the function f(x), it shifts the entire graph 11 units to the right.

This is because for every value of x in f(x), we are now evaluating f(x - 11), which means the x-values are shifted to the right by 11 units.

Therefore, the correct statement is that g(x) is the graph of f(x) translated 11 units to the right.

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Answer:

The main branches of mathematics are algebra, number theory, geometry and arithmetic.

Answer:

The main branches of mathematics are algebra, number theory, geometry and arithmetic. Based on these branches, other branches have been discovered.

Answer:

is 105

Step-by-step explanation:

Answer:

105°

Step-by-step explanation:

Answer: Squares, cubes, and higher powers are shown as small digits called indices. The opposite of squaring and cubing is called square root and cube root.

The opposite of a square root as requested is; The square.

According to the question;

The square root of a number, x yields a number, y whose square is x.

In essence;

Read more;

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Answer:

The words the speaker could use in the blank are...

some text added here for great reasons...

Answer:

20 pieces

Each roll has 36 inches of ribbon. This means that 5 rolls have 180 inches of ribbon (5 x 36 = 180).

You can then divide the 180 by 9 to find out how many 9 inch pieces the dressmaker can cut from 5 rolls of ribbon.

Equation representation:

36 inches x 5 rolls = 180 inches in total
(one roll)

180 inches ÷ 9 = 20 peices

In conclusion, the dressmaker can cut 20, 9-inch pieces from 5 rolls of ribbon.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

2x - 3y

Step-by-step explanation:

Given :-

(3x + 2y) - (x + 5y)

Simplifying :-

3x + 2y - x - 5y

2x - 3y

Solution :-

2x - 3y

We can name the sides of a right triangle by finding their location given one of the angles.

The sine, cosine, and tangent ratios are the three basic trigonometric ratios:

The given angle in this case ([tex]\theta[/tex]) is the angle that measures 15°.

We're also given the side adjacent to it (that is not the hypotenuse), which measures 300 units.

And finally, we're asked to solve for the side opposite the given angle.

The ratio that involves solving using the opposite and the adjacent sides is the tangent ratio. Plug in all the given values:

[tex]\tan\theta =\dfrac{opposite}{adjacent}\\\\\tan(15^\circ)=\dfrac{x}{300}[/tex]

Isolate x by multiplying both sides by 300:

[tex]300\tan(15^\circ)=x\\\\300\tan(15^\circ)=80.4[/tex]

Therefore, x = 80.4 when rounded to the nearest tenth.

x = 80.4

Answer:

Box b is 10 inches

Step-by-step explanation:

I did the work I am sorry I know you are probably in a rush but if you want me to write that out I can

ANSWER:

1/2

EXPLANATION:

Plug this into calculator -->

(1/64) ^ (1/6) and you will get exactly

0.5 which is equal to 1/2

*Note = this can also be done by changing it to...

⁶√[1/64]

If you know this root (2⁶ = 64) then it is 2, and 1 over 2 is equal to one half

Answer:

40: 56

Step-by-step explanation:

Answer:

Each friend will get $1.25

Step-by-step explanation:

45/36 = 1.25

Answer: 1.25

Step-by-step explanation:

Just divide $45.00 and 36

Answer:

I'm not too shmert so I will guess, ok?

Answer:

15

Step-by-step explanation:

2:7:1

=>2+7+1

=10

10/150= 15

£150 in the ratio 2:7:1 its equal to 15

Answer:

4(7 + 6)

Step-by-step explanation:

The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.

28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

A number system is defined as a system of writing to express numbers.

We need to write  28 + 24 as a product of 2 factors using the GCF and the distributive property.

A factor is a number that divides another number, leaving no remainder

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We need to find factors 28 and 24

28=1,2,4,7,14,28

24=1,2,3,4,6,8,12,24

4 is the greatest common factor.

28 + 24

Take 4 as common

4(7+6)

Hence, 28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

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Answer:

x=-4

Step-by-step explanation:

6x+2x-6=5x-18

8x-6=5x-18

8x+12=5x

0= 3x+12

3x=-12

Divide 3 by both sides

x= -4

Answer:

option c

Step-by-step explanation:

Answer: I think it would be Decrease but I may not be correct

Answer:

Amount of Niobium-91 initially

= 300/91 =3.2967mol

2040 years = 3 ×680 = 3 half-lives

therefore, amount left = 0.4121mol

mass of Niobium-91 remaining = 0.4121 ×91 =37.5g

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