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The expression 3(4x + 3) is equivalent to the expression 12x + 9. Then the correct option is E.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3(4x + 3)

Simplify the expression, then we have

⇒ 3(4x + 3)

⇒ 3 · 4x + 3 · 3

⇒ 12x + 9

The expression 3(4x + 3) is equivalent to the expression 12x + 9. Then the correct option is E.

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Answer:

11.6

Step-by-step explanation:

The length of f of the triangle is f = 11.7 cm

The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:

c² = a² + b² - 2ab cos(C)

where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.

Given data ,

Let the triangle be represented as ΔEFG

And , the measures of the sides of the triangle are

g = 4.3 cm

e = 9.1 cm

And , measure of angle ∠F = 116°

where c² = a² + b² - 2ab cos(C)

On simplifying , we get

a² = c² - b² + 2abcos ( C )

78.26 ( cos 116° ) - 4.3² - 9.1² = f²

f² = 135.7344

Taking square roots on both sides , we get

f = 11.7 cm

Hence , the length is f = 11.7 cm

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Answer:

hmmm

Step-by-step explanation:

you can go for bts or billie elish

Answer:c

Step-by-step explanation:

Answer:

The Answer is m(d) = 3.2(0.999)^d

Step-by-step explanation:

Answer:

4x2.25=9

Step-by-step explanation:

please mark brainliest

Answer:

A, D, E

Step-by-step explanation:

Substitute the x and y values into the equation. If the result does not equal 24, then that coordinate point is not on the graph of 3x+2y=24.

Answer:

>

Step-by-step explanation:

Answer:

You would use >

Step-by-step explanation:

-1/4 is greater. When you divide -1/4 you get -0.25. In negatives, the number that's the CLOSEST to 0 is greater. Since -0.25 is closer to 0 than -0.42, the answer is that -1/4 is GREATER than -0.42.

Hope this helps!

The y-intercept of function  1 is -5.

The y-intercept of function 2 is -5.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Consider the function to be in the form of p = mr + c

Where x is the y-intercept.

Function 1.

p = (-3/2)r - 5 _______(1)
y-intercept = -5

Function 2.
Let p = mr + c

Take two pairs from the table.

(0, -5) and (1, -6.5)

m = (-6.5 + 5) / (1 - 0) = -1.5

(0, -5) = (r, p)

-5 = -1.5 x 0 + c

c = -5

Now,

p = -5x - 5 ______(2)

y-intercept = -5

From (1 ) and (2)

Both have the same y-intercept.

Thus,

Function 1 and Function 2 have the same y-intercept.

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Answer:

2/7 is correct answer

oky na

[tex] \Large \underline{\tt Given} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt To \: Find} :[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \Large \underline{\tt Solution} :[/tex]

[tex] \\ [/tex]

As, we have :

Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]

[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]

[tex] \\ [/tex]

Now, we have to find students not present on Monday :

As, we have :

[tex] \\ [/tex]

Therefore,

Students absent on Monday = 35 - 25 = 10

[tex] \\ [/tex]

Hence, 10 students were not present on Monday.

Answer:

y=-10x+70 is the answer

Answer:

y= -10x +70

Find two points, and with the two points, calculate the slope.

Answer:

Step-by-step explanation:

This is equilateral triangle as all sides are equal.

All the internal angles are equal to 60°.

Answer:

20 degrees

Have a good day!

Answer:

20

Step-by-step explanation:

isisisisisisisisisisid

Answer:

Step-by-step explanation:

Given sets:

The sets c and e represent a function. The others have repeated x- values.

Answer:

33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°

34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°

35. m∠1 = 90°, m∠2 = 25°

Step-by-step explanation:

33. The given parameters of the isosceles trapezoid are;

The measure of one of the base angles = 45°

For an isosceles trapezoid, the base angles are equal, therefore, we have;

The measure of the other base angle = m∠3 = 45°

Similarly, m∠1 = m∠2

Also, we have;

The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°

∴ 45° + m∠3 + m∠1 + m∠2 = 360°

By substituting the known values, we have;

45° + 45° + m∠1 + m∠2 = 360°

From m∠1 = m∠2, we have;

45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°

2·m∠1 = 360° - 90° = 270°

∴ m∠1 = 270°/2 = 135°

m∠1 = 135° = m∠2

Therefore, we have;

∠3 = 45°, ∠1 = 135°, ∠2 = 135°

34. The measure of the base angles = 80°

∴ The measure of the other base angle = m∠1 = 80°

m∠2 = m∠3

80° + m∠1 + m∠2 + m∠3 = 360°

∴ 80° + 80° + 2·m∠2 = 360°

m∠2 = (360° - (80° + 80°))/2 = 100°

m∠2 = 100° = m∠3

35. The kite comprises of two half isosceles triangles

The base angles of the right half isosceles triangle = 65°

The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)

Therefore, m∠1 = 90°

The diagonals bisect the angles at the vertices (Kite theorem)

Therefore, we have;

65° + 90° + m∠2 = 180°

m∠2 = 180° - (65° + 90°) = 25°

m∠2 = 25°.

Answer:

22.046 lbs

Step-by-step explanation:

10kg is rounded to 22 pounds

Answer:

a) 10 kg = 22.046 lb

b)25 kg = 55.116 lb

Step-by-step explanation:

all you need to do to convert is to multiply the number of kilograms by 2.2 to get the number of pounds

Answer:

[tex]15m^{3} +9m-8[/tex]

Step-by-step explanation:

Answer:

p(m) = 15m3 + 0m2 + 8m - 8

Step-by-step explanation:

Answer: 26

Step-by-step explanation: well I don't know  the unit but miles is distance so we have to divide 780/30 which is 26 as my calculator  says so the answer is 26 and if you think am wrong sorry you can just divide 780/30 and see the answer.

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

2x

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Answer:

£72

Step-by-step explanation:

100% - 40 = 60%

60/100 = 0.6

0.6 * £120 = £72

40/100 = 0.4

0.4 *  £120 = £48

To check:

£72 + £48 =   £120

Hope that helps!

Possible Answer:

1. I understand that when graphed, a quadratic function has the shape of a parabola.

2. I have a question about the quadratic function when graphed. The lines can point up or down, but why can't the function go left or right?

Step-by-step explanation:

These are just possible answers, everyone else can have different things, especially the second question.

Answer:

20ft

Step-by-step explanation:

Use ratios:

[tex]\frac{5}{8} = \frac{x}{32}[/tex]

Solve for x

x = 20

Answer:

x = 20

Step-by-step explanation:

Let’s think about it this way ( i’m gonna make this as easy as possible! )

So, x is the variable, which it represents the height of the tree right? so you’re gonna want to take the shadow of the alien, and think “well can 8 make 32? and if so how many times?” which would be 8y = 32. and yes you can. so let’s think about that. how many times does it take for 8 to get to 32?

8, 16, 24, 32

so it takes 4 times. then you think “ well if 8x4 got the shadow length, 5x4 must get the tree height” which is correct.

you’ll take 5 x 4 which is 20, and you will put that down as the heigh of the tree, or think 20ft.

so x = 20.

Answer:

12$

Step-by-step explanation:

Money =  32$

Fraction he saved = 3/8

Amount he saves = 3/8 x 32 = 12 $

\

\

I hope  im right!!

Answer:

It's a parallelogram, angles B and D, and A and C are congruent, lines AB and DC, and BC and AD are congruent.

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.

__

In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.

The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)

__

The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.

For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.

Your full quotient is (n+5) +1/(n-6).

Answer:its 5

Step-by-step explanation:

d

Answer:

$48,410

Step-by-step explanation:

47,000 + 3% = 48,410

The surface area of the triangular prism with bases that are 4 cm and sides that are 4 cm is 192 cm²

Surface area of a triangular prism = 12 × base × height

= 12 × 4 cm × 4 cm

= 192 cm²

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Answer:

3 1/2

Step-by-step explanation: