Answer:
y2=3
Step-by-step explanation:
4y2+7=19
Subtract 7 from both sides.
4y 2
=19−7
Subtract 7 from 19 to get 12.
4y2=12
Divide both sides by 4.
y2= 12/4
Divide 12 by 4 to get 3.
y2=3
Answer:
Length= 20
Width= 4
Step-by-step explanation:
First, you can turn this into an equation:
Length= L
width= w
So L=5w
And using the area formula for rectangles, we get L*w=80.
Now, to solve, we only need to substitute 5w into L.
Now we have 5w^2=80. We divide by 5 on both sides to get w^2=16.
We take the square root of both sides. since the length and width of an rectangle cannot be negative, we are left with only w=4.
So plugging back in, we get L=20.
To check, 20*4=80.
Answer:
44 hours
Step-by-step explanation:
Topic of this question: Creating and Solving Equations, Rates, and Proportions
<h2>
Method 1: Creating and Solving Equations</h2>
Step 1: Find the amount drilled per hour
To do this, we have to divide the amount drilled by the number of hours it took to drill and find how much is being drilled per hour.
(I know it's a mouthful)
-72ft = 24x, where x is the amount drilled per hour
-72ft ÷ 24 = x
-3ft = x
-3ft per hour
Step 2: Find how many hours it takes to drill to -132 ft
Since we know the rate of drilling per hour, we can divide the target amount by the amount drilled per hour
-132 ÷ -3 = y, where y is the number of hours it takes
44 = y
y = 44
It will take a total of 44 hours to drill to -132 ft
<h2>Method 2: Proportions</h2>
We can set up a proportion like this, where we know that it takes 24 hours to drill 72 ft, but we don't know how long it takes to drill 132 feet

Cross multiply

Simplify

Divide both sides by -72


It will take a total of 44 hours to dig to -132 ft
-Chetan K
Given the function:
f(x)=6x³-35x²+26x-5
to get the zeros we need to factorize the polynomial given:
to factorize we look for a number such that when we substitute in the equation we get a zero:
first number is:
x=5
thus:
to get the rest of the number we shall have:
(6x³-35x²+26x-5)÷(x-5)
=(3x-1)(2x-1)
thus the other roots are:
x=1/3 and x=1/2
hence the answer will be:
<span>C. 5, one third, negative one half</span>
Answer:
perpendicualr
Step-by-step explanation: