The integers that make the linear equation false are:
3, 78, and 126
We found that by evaluating the equation in all the options.
<h3>Which integers make the equation false?</h3>
Here we have the linear equation:
8m - 15 = 5m + 63
And the possible solutions are:
S: {3, 26, 78, 126}
To see which of these integers make the equation false, we can replace the value of m by the given values and see when the equation is false (the number in the left is different to the one in the right).
if m = 3
8*3 - 15 = 5*3 + 63
9 = 78 this is false.
if m = 26
8*26 - 15 = 5*26 + 63
193 = 193 this is true.
if m = 78
8*78 - 15 = 5*78 + 63
609 = 453 this is false.
if m= 126
8*126 - 15 = 5*126 + 63
993 = 693 this is false.
So the integers that make the equation false are:
3, 78, and 126.
Learn more about linear equations:
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The value of a2+b2 = 0.05
The value of a3+b3 = 41.73
Concept: (a+b)2 = a2+b2+2ab
(a-b)2 = a2+b2-2ab
(a+b)3 = a3+b3+3a2b+3ab2
(a-b)3 = a3-b3-3a2b+3ab2
(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²
⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)
⇒ -47.97 +48.02= 0.05
(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³
⇒(-6.78)³ +(7.07)³
⇒-311.66 +353.39= 41.73
For more information about cubes and squares , visit brainly.com/question/107100
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<span>Simplifying
q = -0.3333333333</span>
The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
