Answer:
x = 7, x = -3
Step-by-step explanation:
We can find the zeros by factoring the equation using the zero product property.
x^2-4x-21 = 0
(x-7)(x+3) = 0
<u>x-7 = 0</u>
x = 7
<u>x+3 = 0</u>
x = -3
Zeros are x=7 and x= -3.
I hope this helps you
take both of sides paranthesis square
(2a+7b)^2=(11)^2
4a^2+2.4a.7b+49b^2=121
4a^2+49b^2+56.2=121
4a^2+49b^2=9
Answer: a. AB = 15cm long.
b. AB = 11.1cm long.
Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.
Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
