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7nadin3 [17]
3 years ago
9

M^ 2 + m − 90 factorize

Mathematics
2 answers:
laiz [17]3 years ago
5 0

Answer:

(m+10)(m-9)

Step-by-step explanation:

To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.

Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)

cluponka [151]3 years ago
3 0

Answer:

(m-9)(m+10)

Step-by-step explanation:

When you are given an expression in this format

ax^2+bx+c

You must find two numbers that add up to <em>b</em> while the product is <em>c</em>.

You do trial and error to figure it out for your equation.

m^2+m-90

Hmm... what two numbers add up to 1 and multiplied together equal -90.

Start off with pairs that can equal 90.

45 2

18 5

9 10

Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!

18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.

9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!

Now use the two numbers and put it in factored form.

(m-9)(m+10)

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Yes

Step-by-step explanation:

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3 years ago
Use the graphing calculator to graph the quadratic function y=2x^2 + 2x -40. what are the zeros of the function
ahrayia [7]

Answer:

The zeroes of this function are x=-5 and x=4

3 0
3 years ago
Four times the cube of a number is less than the difference between forty and the number. Select the inequality that represents
tigry1 [53]

<u>Answer:</u>

4x^3 < 40 - x

<u>Explanation:</u>

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by x^3 is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as x^3 is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than x^3.

So, the inequality obtained can be written as 4x^3 < 40 - x

6 0
3 years ago
Read 2 more answers
F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
--------------<br><br><br>1+1 <br><br><br>---------------<br>​
Svetach [21]

Answer:

2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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