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Romashka-Z-Leto [24]
3 years ago
10

Solve −x+5≤4 or 2x+3≥−1. Note: Write the solution in interval notation.

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

[1 , +∞)

Step-by-step explanation:

-x+5\leq 4\\x\geq 1\\2x+3\geq -1\\x\geq 1\\\\

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Luke buys $14.35 worth of gasoline for his car. If the gas station $1.409 per gallon, how many gallons did he get? Round to the
iragen [17]

Answer:

10.2 gallons

Step-by-step explanation:

Luke buys $14.35 worth of gasoline for his car

The gas station sells at $1.409 per liter

Therefore the number of gallons that luke buys can be calculated as follows

= 14.35/1.409

= 10.2 gallons

4 0
3 years ago
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If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height
Tju [1.3M]

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

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3 years ago
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3 years ago
Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5
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6 0
2 years ago
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Using =2L+2W, Find L when P is 50 and W is 10
mestny [16]

Answer:

L = 15

Step-by-step explanation:

P = 2L + 2W

you know that P = 50, W=10

So you have to replace those values on the equation

50 = 2L + 2*(10)  --> Replace P and W

50 = 2L + 20  --> Multiply and now you are going to separate the unknown and the constants.

Remember that if you send a constant to the other side of the equal the sign will change to its opposite

50 - 20 = 2L  --> Solve the constants

30 = 2L    --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation,  the opposite operation of multiplying is dividing, so you have:

30/2 = L

L= 15

5 0
3 years ago
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