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Marina CMI [18]
3 years ago
11

5r^2-38r-16 i must factor by grouping but im very lost

Mathematics
1 answer:
scoray [572]3 years ago
7 0
So let's take this step by step. The only two numbers that will give you 5 is 1 and 5. The numbers that can give you 16 is 1, 2, 4, 8, 16. The whole idea behind factoring is playing with these numbers and seeing what gives you -38. 

Let's set up the factors now: 

(5r + __) (r - __) 

What two numbers could you put in the blanks? If you multiply everything together, you'll have to get 5r^2-38r-16. 

If you play around with the numbers, 2 and 8 could be used. So let's plug them in.

(5r + 2)(r - 8) 

If you multiply them out, you'll get 5r^2 - 40r + 2r - 16, or 5r^2 - 38r -16. Hope that helps. 
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Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was
SSSSS [86.1K]
<h2>Answer:</h2>

First of all let's write the slope-intercept form of the equation of a line, which is:

y=mx+b \\ \\ Where: \\ \\ m: \ slope \\ \\ b: \ y-intercept

So we just need to find m \ and \ b to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

m=-12

Negative slope because Amir is descending. So:

y=-12x+b

To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0). Therefore, substituting this point into our equation:

y=-12x+b \\ \\ 0=-12(30)+b \\ \\ 0=-360+b \\ \\ \therefore b=360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

\boxed{y=-12x+360}

Whose graph is shown bellow.

6 0
3 years ago
Read 2 more answers
A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16
ella [17]

Answer:

0.2 seconds

Step-by-step explanation:

The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward.  The maximum value of b(t) occurs at the vertex.  The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.  

5 0
2 years ago
Read 2 more answers
This is a lot of work into this!
masha68 [24]

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

<h3>How to determine the maximum revenue?</h3>

Represent bracelet with b and necklace with n.

From the question, we have:

                 b              n        Total

Unit           10          20        1000

Time         10           40        1600

Cost         5           7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

Read more about objective functions at:

brainly.com/question/16826001

7 0
2 years ago
Please help me with this pleasee!
zysi [14]

Answer:

C

Step-by-step explanation:

plz mark brainliest :)

8 0
3 years ago
Find the value of x.
inessss [21]

Answer:

7

Step-by-step explanation:

5 0
2 years ago
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