1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vanyuwa [196]
3 years ago
12

What is the value of x in this equation? 4(x + 6) – 3x = 26

Mathematics
1 answer:
alexdok [17]3 years ago
5 0

Answer:

x = 2

4 (x + 6) - 3x = 26

solve the parenthesis

4x + 24 - 3x = 26

subtract 24 from both sides to get x by itself

4x - 3x = 2

solve

x = 2

You might be interested in
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please h
Arlecino [84]

The outline that that illustrate how <em>k</em> values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

  • Using diagram;

The solution of the above inequality includes 0 as shown in the attached number line

  • Graphically;    

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

k > \dfrac{17}{4}

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

  • Graphically

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which <em>y</em> = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

  • Graphically

The graph of the function showing only one intercept is attached

Learn more here:

brainly.com/question/11982012

3 0
2 years ago
write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality
V125BC [204]
Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
4x + 8 \geqslant 32
4x \geqslant 24
x \geqslant 6
Sally was paid at least 6 dollars /hour.
6 0
3 years ago
How do you know pi x r x r x h
Nat2105 [25]
V= πr^2h

This is the formula for volume of a cylinder. The volume formula builds off the area formula. Where area is more 2-dimensional, volume is 3-dimensional. You can think of a flat sheet of paper for area (2-dimensional) and a solid box for volume (3-dimensional).

Usually your teacher would give the formulas when starting this section of math. From there, either keep a list of needed formulas in your math folder for easy reference, or try to memorize the formulas for the current section of math you are working on. Some teachers allow formula reference sheets and some do not.

Hope this answers your question! :)
4 0
3 years ago
The product of x and 3
Ne4ueva [31]

Answer:

3x- we need to know what x is to go any further

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Expand and simplify 4(2x +7) – 3(x + 5)
Tema [17]

Answer:

The answers is 5x + 13

It Equal to 5x + 13

5 0
3 years ago
Other questions:
  • What is domain and range of f(x) = -37
    8·1 answer
  • A box contains four bowling balls numbered 2, 4, 6, and 10 according to their weight. Two are drawn randomly without replacement
    8·1 answer
  • 6 to the 2nd power ÷ 2(3) + 4
    14·2 answers
  • There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined
    14·1 answer
  • a small syringe is used to give a patient 0.23 ml of medication 4 times per day for 4 days. how much medication does he receive
    14·1 answer
  • At the start of the month, the value of an investment was $48.45. By the end of the month, the value of the investment changed b
    11·1 answer
  • ????????????????????????????????????????
    11·2 answers
  • Can someone please help? I’ll give brainliest!!
    6·1 answer
  • 0/0=? *please answer*
    12·1 answer
  • Help!!! Will mark brainliest !!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!