Answer:
(0, 2)
Step-by-step explanation:
add 5 to -5 and -3
Four scarves and six hats is $52.00
<span>4s+6h=52 </span>
<span>two hats is $1.00 more than the cost of one scarf. </span>
<span>2h=1s+1 </span>
<span>2h=s+1 </span>
<span>s=2h-1 </span>
<span>substitute for s </span>
<span>4s+6h=52 </span>
<span>4(2h-1)+6h=52 </span>
<span>8h-4+6h=52 </span>
<span>14h=56 </span>
<span>h=4 </span>
<span>s=2h-1 </span>
<span>s=8-1 </span>
<span>s=7 </span>
<span>a scarf cost $7 </span>
<span>a hat cost $4</span>
Answer:
Step-by-step explanation:
I attached the work and answer below, take a look!
Answer:
v= -3 and v= 11
Step-by-step explanation:
v^2 - 8v -33 = 0
v^2-11v+3v-33=0
v(v-11) +3(v-11)=0
(v+3)(v-11)=0
v+3=0 and v-11=0
v=-3 v=11
Question:
What is the following product?
(√14 - √3) (√12 + √7)
Answer:
2√42 + 7√2 - 6 - √21
Step-by-step explanation:
Given.
(√14 - √3) (√12 + √7)
Required
Product
(√14 - √3) (√12 + √7)
We start by opening the brackets
√14(√12 + √7) -√3(√12 + √7)
√(14*12) + √(14*7) - √(3*12) - √(3*7)
Expand individual brackets
√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(4*42) + √(2*49) - √(9*4) - √(3*7)
Split Roots as follows
= √4 * √42 + √2 * √49 - √9 * √4 - √21
Take square root of perfect squares
= 2 * √42 + √2 * 7 - 3 * 2 - √21
= 2√42 + 7√2 - 6 - √21
Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21
