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larisa86 [58]
2 years ago
12

Knowing that the result of expanding (x+a)(x-6) is x²+mx-48, find the values ​​of a and m.​

Mathematics
1 answer:
Citrus2011 [14]2 years ago
6 0

We know -48 came from (a)(-6), the "L" in "FOIL".

If -48 = -6a, then a = 8.

Now with a=8, go ahead and FOIL (x+8)(x-6) to find m.

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Find the slope and y-intercept of the graph of 4x-3=36
Oxana [17]

Answer: Slope is undefined or aka infinity, and there is no y-intercept

<u>Step-by-step explanation:</u>

Using Slope-Intercept Form to find the slope and the y-intercept.

First, lets change 4x-3=36 into y=mx+b. When you change it into this form you'll see that it can't go into intercept form because x=39/4 and is a vertical line so the slope is undefined or aka infinity, and there is no y-intercept.

Hope this helps! Have a nice day! ❤

- Cutiepatutie

6 0
3 years ago
The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that this r
Andru [333]

Answer:

the angle would be 1/2 i did this problem before and got it correct

Step-by-step explanation:

3 0
3 years ago
I need help seeing what I did wrong
Makovka662 [10]

Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

  • 3*(-4) = -12
  • 3+(-4) = -1

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

  • 2x-3 = 0 solves to x = 3/2 = 1.5
  • -x-2 = 0 solves to x = -2

The two roots are x = 3/2 and x = -2

8 0
3 years ago
Unit rates! PLZ HELP WILL GIVE BRAINIEST!!
Alchen [17]

Answer:

The answer is $10.32aprox

Step-by-step explanation:

I hope it will help u

Please mark me as brainlist

3 0
3 years ago
How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?
castortr0y [4]
Let's begin by breaking  each number down into its prime factors:    4 = 2 x 2    5 = 5    6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number:    common prime factors: 2    unique prime factors:  2,5,3    LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder):    10,000/60 = 166 and 2/3    Multiples of ALL 3 numbers (4,5,6) = 166  Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number:    common prime factors:  none
    unique prime factors:  2 x 2 x 5
    LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
    10,000/20 = 500
    Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer:   Multiples of ONLY numbers 4 and 5 (excluding 6):       500 - 166 = <span>334</span>
5 0
3 years ago
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