Q1.Solve the following equation . (1) 4x + 10 = 30 ​

Answers

Answer 1
Answer:

Answer:

x = 5

Step-by-step explanation:

given the equation

4x + 10 = 30 ( subtract 10 from both sides )

4x + 10 - 10 = 30 - 10 ( simplify both sides )

4x = 20 ( divide both sides by 4 )

(4)/(4) x = (20)/(4) , that is

x = 5


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Solve the equation. Check your answer:14+6a-8=18

[3b+9]-16=-52
i just want to see if i got the correct answer my answer was
b=-15

Answers

Yes, the answer to the given maths solution is indeed is b = -15

How to solve this mathematical problem

3(-15) = -45

-45 + 9 = -36

-36 - 16 = -52

so b = -15

Hence, your initial answer is correct.

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Answer:

yes, the answer is b = -15

Step-by-step explanation:

3(-15) = -45

-45 + 9 = -36

-36 - 16 = -52

so b = -15

How do i learn algebra

Answers

You can use online resources such as khanacademy.org to learn algebra :) There are many websites and books that you can get from the library that can teach you some of the basic information that you will need to know.
Good luck :)
Its a little something cLled the internet

the graph of y = x2 11x 24 is equivalent to the graph of which equation? a.y = (x 8)(x 3) b.y = (x 4)(x 6) c.y = (x 9)(x 2) d.y = (x 7)(x 4)

Answers

Answer:

Option a is correct.

Step-by-step explanation:

We have been given the expression:

y=x^2+11x+24

We will factorize the given quadratic equation:

x^2+8x+3x+24

\Rightarrow x(x+8)+3(x+8)

\Rightarrow (x+8)(x+3)

Hence, the given equation is equivalent to (x+8)(x+3)

Hence, the graph will be equivalent to y=(x+8)(x+3)

Therefore, option a is correct.

y = x^2 + 11x + 24 = (x + 8)(x + 3)

Which of the following equations describes the set of all points (x, y) that are equidistant from the x-axis and the point (4, 6)? (A) (x - 4)^2 + (y - 6)^2 = 9 (B) (x - 4)^2 = 12(y - 3) (C) (y - 3)^2 = 12(x - 4) (D) (x - 4)^2 = 6(y - 3) (E) (x - 4)^2 = 12(y - 6) Why is the answer choice (B)? And also, why not choice (D)?

Answers

Answer

The option B is the right answer because the vertex is (4,3)

Step-by-step explanation:

In the canonical equation of the parabola:

(X-h) ^ 2 = 4p (y-k)

The values (h, k) correspond to the coordinates (x, y) of the vertex.

In the definition of the problem it is said that the guideline of the parabola is the X axis, that is, the line Y = 0 and the focus is the point (4,6).

If the vertex were the point (4.6) the correct option would be option D

But the vertex is located at the midpoint of the segment defined by the focus points (4, 6) and the point (4, 0) that is on the parabola directrix. therefore, as the vertex is the point (4.3). the correct option is B.

Which of the following are congruence transformations? Check all that apply.A. Rotating
B. Stretching
C. Shrinking
D. Reflecting
E. Translating

Answers

Congruence refers to the exact similarity in terms of the dimensions of a shape or polygon including as well as the angles of the shape. Rotating does not change the image, as well as reflecting and translating. Hence the answers that apply are A, D and E. 

The answer choices which represent congruencetransformations are; Choice A; Rotating, Choice D; Reflecting and Choice E; Translating.

Which of the following are congruence transformations?

According to the task content; it follows that the answer choices which represent congruence transformations be identified.

Congruence transformations are simply characterized by the fact the size of the object undergoing transformation remains unchanged after transformation. Hence, such congruence transformations are as identified above.

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If g(x) is the inverse of f(x)=4x+12 and f(x)=, what is g(x)

Answers

Answer:

f^(-1)(x)=g(x)=(x-12)/(4)

Step-by-step explanation:

The problem tell us that g(x) is the inverse of f(x), where:

f(x)=4x+12

So, we need to find the inverse function of f(x) in order to find g(x)

Let's find the inverse function using the following steps:

1. Replace  f(x) with y:

f(x)=y=4x+12

2. Solve the equation for x:

(y-12)/(4) =x

3. Replace every x with a y and replace every y with a x:

y=(x-12)/(4)

4. Finally, replace y with f^(-1)(x)

f^(-1)(x)=(x-12)/(4)

Therefore:

g(x)=f^(-1)(x)=(x-12)/(4)

Hello,
f(x)=y=4x+12

x=4y+12
==>4y=x-12
==>y=x/12- 3

g(x)=x/12 -3