I think the answer is (-7,-3)
Answer:
she must save $16.54 a week
Step-by-step explanation:
860/52 to get the amount of money per week, which ends at 16.538
-3(is less than)1 and 5(is less than or equal to) 25
Answer:
The length is 9 units
Step-by-step explanation:
Let x = length
width = x-3
Area = 54 = l*w
54 = x * (x-3)
Distribute
54 = x^2 -3x
Subtract 54 from each side
54-54 = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 number multiply to -54 and add to -3
-9 * 6 =54
-9+6 =-3
(x-9) (x+6) =0
Using the zero product property
x=9 x=-6
Since we cannot have negative length
x=9 units
The length is 9 units
<span><span> 2x2-3x=2</span> </span>Two solutions were found :<span><span> x = -1/2 = -0.500
</span> x = 2</span>
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (2x2 - 3x) - 2 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 2x2-3x-2</span>
The first term is, <span> <span>2x2</span> </span> its coefficient is <span> 2 </span>.
The middle term is, <span> -3x </span> its coefficient is <span> -3 </span>.
The last term, "the constant", is <span> -2 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 2</span> • -2 = -4</span>
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is <span> -3 </span>.
<span> -4 + 1 = -3 That's it</span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
<span>2x2 - 4x</span> + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization