Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
x= -2
Step-by-step explanation:
Step 1. In order to find the zeros of the function, we must factor it.
Step 2. To factor this, we have to find two numbers that multiply to 4 and add to 4 which is 2 ( 2*2=4 and 2+2=4)
step 3. 0=(x+2)(x+2)
Step 4 make (x+2) equal to zero and solve which gives us -2, so -2 =x.
Answer:
4x-5= 5 less than the product of 4 and a number. 4 (x-5)= The product of 4 and the difference of a number and 5. 4(x+5) = The product of 4 and the sum of a number and 5.
Step-by-step explanation:
I took the test online in K12 and when I reviewed it said that those are the correct answer.
Answer:
23.4 cm
Step-by-step explanation:
If the base of the triangle is half of that of a given side, then we need to divide the given side by 2 to get the base.
46.8
---------2
23.4
There is your answer
Hope it helped
Bye
You have an algebraic expression in which you are solving for x. When you are solving for a variable, you need to isolate it all alone. Since you are multiplying by 1/5, you will have to undo it by multiplying by its reciprocal. In this case you are multiplying both sides by 5/1.
5/1 *1/5x = 121*5/1
x = 605
To check your answer, plug this value in for x and multiply it by 1/5. You should arrive at 121! Good luck!