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4 years ago

5(x+3)−2x Which expression correctly combines the like terms? 3x+15 3x+3 3x2+15 3x2+3

Mathematics

1 answer:

arsen [322]4 years ago

5 0

3x+15 , this expression correctly combines the like terms

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Find the x-intercept(s) of y = 2x2 - 3x - 5. A) -5 B) 2 1/2, -1 C) 3, -5 D) 5, -1

Alexus [3.1K]

Answer:

$\large\boxed{B)\ 2\frac{1}{2},\ -1}$

Step-by-step explanation:

x-intercepts are for y = 0.

We have the equation:

$y=2x^2-3x-5$

Therefore

$2x^2-3x-5=0\\\\2x^2+2x-5x-5=0\\\\2x(x+1)-5(x+1)=0\\\\(x+1)(2x-5)+0\iff x+1=0\ \vee\ 2x-5=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\2x-5=0\qquad\text{add 5 to both sides}\\2x=5\qquad\text{divide both sides by 2}\\\boxed{x=2\frac{1}{2}}$

7 0

3 years ago

(a(1) = -2 [a(n) = a(n − 1) – 5 Find the 4th term in the sequence.

lesya [120]

Answer:

wait of a ?

Step-by-step explanation:

7 0

3 years ago

A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r

aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0

3 years ago

Jessica is saving money for a new sailboat. She has already saved $1,000 and plans to save $150 per week. This situation can be

Oduvanchick [21]

1000+150(12)=1000+1800=2800

6 0

4 years ago

Read 2 more answers

A number is increased by 11 is multiplied by 2 the answer is 26

nordsb [41]

Answer:

Number = 2

Step-by-step explanation:

Let the number be x.

According to the question,

Number increased by 11 = x+11
Multiplied by 2 is 26 : (x+11)*2 = 26

Equation will be,

2(x+11) = 26

Solving for x,

2x+22 = 26
2x = 26-22
2x = 4
x = 4/2
x = 2

Thus,the number is 2.

7 0

2 years ago