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kari74 [83]
3 years ago
14

Solve the inequality 4x - 7<5​

Mathematics
2 answers:
Hoochie [10]3 years ago
8 0

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 7 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

lara [203]3 years ago
6 0

Answer:

x < 3

Step-by-step explanation:

4x - 7 < 5

Add 7 to both sides;

4x < 12

Divide both sides by 4;

x < 3

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(10,31)<br> (10,3)<br> (3,10)
Maslowich

Answer:

(10,3) is the correct answer

3 0
2 years ago
Solve the equation for y.<br>28 = 24x – 7y​
spin [16.1K]

28 = 24x -7y

-24x + 28 = -7y

y = 24/7x + 4

6 0
3 years ago
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle
Rus_ich [418]

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

<h2><u /></h2><h2><u>Part 1</u></h2>

Four times a number added to 3 times a larger number is 31.

<u>It is translated as:</u>

  • 4x + 3y = 31

<u>Then, solving for y:</u>

  • 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

    ⇒  y= - 4/3x + 31/3

<u>Correct answer choice for this equation:</u>

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

<h2><u>Part 2 </u></h2>

Seven subtracted from the larger number is equal to twice the smaller number.

<u>It is translated as:</u>

  • y-7= 2x

<u>Then, solving for y:</u>

  • y-7= 2x ⇒ y= 2x+ 7

<u>Correct answer choice for this equation:</u>

y = 2 x + 7

4 0
2 years ago
Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n
lana66690 [7]

Answer:

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

d=7-(-5)=12.

Now, we divide d by 4 and obtain \frac{d}{4}=\frac{12}{4}=3

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4

So,

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

5 0
3 years ago
Given log1712 log1715=log17xlog1712 log1715=log17x what is the value of x?
Charra [1.4K]
Log1715=Log17X X=Log1715/Log17 X=2,6
3 0
3 years ago
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