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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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5 STARS!!!

Ksivusya [100]

Since it is given that Boris takes x minutes to run 5 miles it means that Boris' speed will be given as: $\frac{5}{x}$ .

Now, if Dylan runs slower than Boris and takes 12 more minutes to complete the 5 miles run, then that would mean that Dylan takes (x+12) minutes to complete the same run.

In this case we can see the Dylan's speed will be $\frac{5}{x+12}$ .

Thus, the denominator represents the time Dylan takes to run 5 miles if he takes 12 minutes more than Boris.

Therefore, out of the given options, the second option is the correct option.

5 0

2 years ago

Explain why the function is discontinuous at the given number

Blizzard [7]

For $f$ to be continuous at $x=5$ , we need to have

$\displaystyle\lim_{x\to5}f(x)=f(5)$

Note that $x\to5$ means that $x\neq5$ , but that $x$ is *approaching* 5. We're told that for $x\neq5$ , we have

$f(x)=\dfrac{x^2-5x}{x^2-25}$

We can write

$\dfrac{x^2-5x}{x^2-25}=\dfrac{x(x-5)}{(x+5)(x-5)}=\dfrac x{x+5}$

and the limit would be

$\displaystyle\lim_{x\to5}\frac x{x+5}=\dfrac5{5+5}=\dfrac5{10}=\dfrac12\neq1=f(5)$

and so $f$ is discontinuous.

5 0

2 years ago

How do you solve this?

solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

<u>Solving by substitution</u>

Solve either equation for one variable. For example,

7M - 2t = -30 ⇒ t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

<u>Solving by elimination</u>

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

4 0

1 year ago

The length of the room is 25 feet longer than it is wide. The area is 176 square units. Find the dimensions of the room

Arturiano [62]

The answer is 26 home slice.

6 0

2 years ago

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what is the circumference of the circle with an arc length of 11 and an interior angle of 27° Round to nearest tenth plz

igor_vitrenko [27]

Answer:

146⅔ units

Step-by-step explanation:

27° : 11

360° : X

X = (11/27) × 360

X = 146 ⅔

6 0

2 years ago

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