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2 years ago

What is the solution of the inequality -0.4× -1.2> 0.8

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

x<-5

If I read the question correctly and x stands for a variable, and not multiplication, you can multiply each value by 10 to get whole numbers (or not, but whole numbers are easier to work with, and you get the same answer either way, I checked). This gives you

-4x -12>8

First you want to isolate x by adding 12 to both sides and getting. -4x>20. Then you divide both sides by -4, but when doing so, remember that when you divide by a negative number, you need to flip the sign. So then your answer is x<-5.

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The axis of symmetry for the function f(x) = -x^2 - 10x + 16 is x = -5. What are the coordinates of the vertex of the graph?

IRINA_888 [86]

The x coordinate is -5.

The y coordinate is equal to $f(-5)$

$f(-5)=-(-5)^2-10\cdot(-5)+16=-25+50+16=41$

So the vertex is $(-5,41)$

9 0

3 years ago

Read 2 more answers

QUESTION 1

SVEN [57.7K]

Answer:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

$\frac{5}{12}-\frac{x-3}{6} \leq \frac{x-2}{3}$

Step 1: Making the denominators common for all fractions

$\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}$

This step is done correctly in the given solution.

Step 2: Simplifying

$\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}$

This step is done correctly in the given solution

Step 3: Multiplying both sides by 12, and simplifying.

$5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8$

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

Step 4: Simplification:

$11-2x\leq 4x-8$

Step 5: Moving Common terms to one side and simplifying

$-2x-4x\leq -8-11\\\\ -6x\leq -19$

Error was made in this step. When a number is moved to other side, its sign will be changed.

Step 6: Dividing both sides by -6

$x\geq \frac{19}{6}$

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0

2 years ago

Read 2 more answers

1) Find the value of x.

Stells [14]

x=8

Explanation:

the opposite side is 72, which means I have to make 9x end up equaling 72.

72÷9

////

72/9

9×8=72

Therefore

the value of x is 8.

6 0

1 year ago

Please let me know

bazaltina [42]

21) option C

................

4 0

2 years ago

Please help I need the answer fast !

Otrada [13]

Answer:

To answer this item, we add up all the scores and divide the sum by the total number of quizzes.

0: 0 quizzes

1 : 1 quiz total : 1

2: 3 quizzes total : 6

3: 4 quizzes total : 12

4: 4 quizzes total : 16

5: 1 quiz total : 1

There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.

Step-by-step explanation:

3 0

2 years ago