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amid [387]
3 years ago
15

I really need help with this problem!!

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

1.

4

2.

11>-2 \underbrace{\implies}_{+3} 14>1 \underbrace{\implies}_{+3} 17>4\underbrace{\implies}_{+(-4)} 13>0

3.

-2

4.

-4

Comments:

We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality

-2

If we multiply both sides by -2 we have to flip the sign as well:

4>-2

And the inequality will remain true.

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Skylar and Rodrigo each recorded how far they traveled while skateboarding. Skylar traveled 65 feet in 5 seconds and Rodrigo tra
Elena-2011 [213]
Skylar went 13ft per second
Rodrigo went 13 1/2 ft per second
So, 1/2 a ft per second
4 0
3 years ago
Step by step plz <br> 2x^2 + x - 3
Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0
3 years ago
A culture of 100,000 bacteria triples every hour. How many bacteria were there 3 hours ago? (easy steps please)​
Crank

Answer:

If it multiplies by 3 each hour, you would divide by three if you are looking for the first term. It is Geometric Sequence.

Step-by-step explanation:

100,000/3=33333.3333333 (1/3)

5 0
3 years ago
An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
Darina [25.2K]

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

6 0
2 years ago
Read 2 more answers
Write an equation in point slope and slope intercept form of a line that passes through the given point and has the given slope
Evgesh-ka [11]

Answer:

Point-Slope: y+4=-\frac{1}{2}(x+3)

Slope-Intercept: y=-\frac{1}{2}x-\frac{11}{2}

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}  ). The slope-intercept formula is y=mx+b. Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

y-(-4)=-\frac{1}{2}(x- (-3))

y+4=-\frac{1}{2} (x+3)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

y+4=-\frac{1}{2}x-\frac{3}{2}

y=-\frac{1}{2}x-\frac{11}{2}

6 0
3 years ago
Read 2 more answers
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