Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> x-((((3•(x3))+23x2)+5x)-7) = 0
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span> x - (((3x3 + 23x2) + 5x) - 7) = 0
</span><span>Step 3 :</span><span>Step 4 :</span>Pulling out like terms :
<span> 4.1 </span> Pull out like factors :
<span> -3x3 - 8x2 - 4x + 7</span> =
<span> -1 • (3x3 + 8x2 + 4x - 7)</span>
Checking for a perfect cube :
<span> 4.2 </span> <span> 3x3 + 8x2 + 4x - 7</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.3 </span> Factoring: <span> 3x3 + 8x2 + 4x - 7</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: <span> 3x3 - 7</span>
Group 2: <span> 8x2 + 4x</span>
Pull out from each group separately :
Group 1: <span> (3x3 - 7) • (1)</span>
Group 2: <span> (2x + 1) • (4x)</span>
Answer: 3 servings
Step-by-step explanation:
Sam used 2 cups of pineapple juice, one serving just needs 2/3 cups of pineapple. 2 divided by 2/3 equals 3 so, Sam made three servings. (in this case 1/2 cup orange juice 3/4 cup Lemon/lime juice 1/3 cup Ginger ale does not matter, you only need to know the pineapple juice.
Answer:
D
Step-by-step explanation:
If we look at the right side of the equation we see that the y-intercept is 2, so we will place a point on (0,2).
Next, we look to see if the slope of the graph if positive or negetive, and to see what is the slope (2x).
Finally, we look at the inequality if it is greater than (>), less than (<), greater than or equal to (_>), or less than or equal to (<_).
*Note the following:
if < then the line is dotted and the shading will be under the line.
if > then the line is dotted and the shading will be above the line.
if <_ then the line is solid and the shading will be under the line.
if _> then the line is solid and the shading will be above the line.*
It is a lot of information if you look at it, but with practice it can be made easier.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
In the question,
Total number of pieces of paper numbered from 1 to 25 are = 25
As the <u>draw also includes replacement.</u>
So,
<u>Probability of drawing '3'</u> is given by,
Now,
Numbers greater than 10 are = 15
So,
<u>Probability of drawing a number greater than 10</u> is given by,
So,
<em><u>Total probability</u></em> is given by,
Product of probability of drawing 3 in 1st draw and the Probability of drawing a number greater than 10.
Joy makes 6.5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people.
Answer:
Yes, Joy definitely does has enough soup
Step-by-step explanation:
From the question, we know,
Joy make 6.5 litres of soup
Serves it in 280ml portions
Step 1
We convert the portions to liters
1 ml = 0.001 litre
280 ml
= 280ml × 0.001 litre/1 ml
= 0.28litre
Step 2
We divide 6.5 liters by 0.28 to find out how many people can be served
= 6.5 ÷ 0.28
= 23.2142857143 people
We can see that 6.5 liters soup can serve 23 people approximately.
Therefore, Yes, Joy definitely does has enough soup to serve 22 people
