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emmainna [20.7K]
3 years ago
12

What is the solution of -x+4>2

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

There is no single solution but there is a group of solutions also known as the interval.

-x+4>2 \\-x>-2 \\x

This can be written with an interval.

x\in(-\infty, 2)

Hope this helps.

r3t40

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
Mr. Cresta spends $6.00 for every $3.00 he saves. Write a ratio equivalent to Mr. Cresta's spending
Andrei [34K]

Answer:

12:6 or $12 for every $6 he saves

Step-by-step explanation:

If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.

8 0
3 years ago
Alejandro solved the equation 5(7x^2-2)-8=3. He wrote 5(7x^2-2)=11 as his first step. Which property justifies his first step?
Scorpion4ik [409]
The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.

Hope this helps :)
3 0
4 years ago
Read 2 more answers
5x + 6 = 5x - 4 does it have an unique solution
Triss [41]

Answer:

No

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
At which root does the graph of f(x) = (x + 4)^6(x + 7)^5 cross the x axis?
ANTONII [103]
ANSWER

The graph of
f(x) =  {(x + 4)}^{6} {(x + 7)}^{5}
crosses the x-axis at
x =  - 7


EXPLANATION



The nature of the multiplicity of a given polynomial function determines whether the graph crosses the x-axis at that intercept or not?




f(x) =  {(x + 4)}^{6} {(x + 7)}^{5}

If the multiplicity of the factor is even as in
{(x + 4)}^{6}
the graph touches but does not cross the x-axis at the intercept where
x =  - 4
This means that the x-axis is a tangent to the function at this point.



However, if the multiplicity is odd, as in
({x + 7})^{5}
the graph crosses the x-axis at the intercept where
x =  - 7
7 0
4 years ago
Read 2 more answers
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