Answer: 7x^2+21x+14
Step-by-step explanation:
(7x+7)(x+2)
Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
7x×x+7x×2+7x+7×2
↘ ↙
7x×x calculate product
7x^2+7x×2+7x+7×2
↘ ↙
7x×2 calculate product
7x^2+14x+7x+7×2
↘↙
7×2 multiply numbers
7x^2+14x+7x+14
↘ ↙
21x collect like terms
7x^2+21x+14 is your end result.
Answer:
184 cm²
Step-by-step explanation:
Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)
L is the length of the box = 90 cm
W is the width of the box = 50 cm
H is the height of the box= 90 cm
If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;
S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)
Note that dL = dW = dH = 0.2 cm
Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box
S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))
S = 2{18+10+18+18+10+18}
S = 2(92)
S = 184 cm²
Hence, the maximum error in calculating the surface area of the box is 184cm²
Answer:
Step-by-step explanation:
The formula of a volume of a rectangular box:
<em>l</em><em> - lenght</em>
<em>w</em><em> - width</em>
<em>h</em><em> - height</em>
Therefore the dinemsions of thisp prism are:
Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
The points are; (7/2, -1/2).
<h3>What is the given point?</h3>
Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.
Then to obtain the slope of the curve we have; y = 19 - 2x
dy/dx = 2
Using the relation;
m1m2 = -1
m2 = -1/2
Hence;
y = 1/4 - 5(-1/2)
y = 1/4 + 5/2
y = 7/2
Thus the points are; (7/2, -1/2)
Learn more about normal curve:brainly.com/question/10664419
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