Answer:
3(4x + 1)(x - 4) Answer choice B
Step-by-step explanation:
-12x^2 + 45 + 12
You would take out the -3 in the equation.
-3(4x^2 -15x - 4)
You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.
You would do this by listing the factors of -16, which the numbers 1 and -16 would work.
You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.
3(4x^2 - 16x + x - 4)
3(4x^2 - 16x)(x - 4)
You can then take ou ta four for the first function in the parentheses.
3(4x(x - 4) 1(x - 4))
Then you take the function from the outside and the inside.
3(4x + 1)(x - 4)
The answer to the question would be B.
.11x+.08(180000-x)=17400
.11x+14400-.08x=17400
.03x=3000
x=$100,000 at 11%
$80,000 at 8%
Answer:
<em>4</em>
Step-by-step explanation:
<em>here's</em><em> your</em><em> solution</em>
<em>=</em><em>></em><em> </em><em>we </em><em>need</em><em> to</em><em> find</em><em> out</em><em> </em><em>X</em>
<em>=</em><em>></em><em> </em><em>given</em><em> expression</em><em> is</em><em> </em><em>1</em><em>3</em><em> </em><em>-</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>x</em>
<em>=</em><em>></em><em> </em><em>1</em><em>3</em><em> </em><em>-</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>x</em>
<em>=</em><em>></em><em> </em><em>1</em><em>3</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>=</em><em> </em><em>-x </em><em>+</em><em> </em><em>4</em><em>x</em>
<em>=</em><em>></em><em> </em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>+</em><em> </em><em>3</em><em>x</em>
<em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>1</em><em>2</em><em>/</em><em>3</em>
<em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>4</em>
<em>hope</em><em> it</em><em> helps</em>
Answer is D) 5 mc, 15 t&f
you have two unknown variables, thus you need two equations
definitions:
a = quantity of multiple choice questions
b = quantity of true and false questions
100 points = a*11 points/question + b*3 points/question
20 questions = a +b
using 2nd equation, find equation for 'a':
a = 20 - b
substitute this equation for 'a' into 1st equation:
100 = 11a + 3b
100 = 11(20 - b) + 3b
100 = 220 - 11b + 3b
100 - 220 = -8b
-120 = -8b
-120/-8 = b
15 = b
resolve 2nd equation now knowing value of 'b':
a = 20 - b
a = 20 - 15
a = 5
verify solution is correct by substituting values into first equation
11a + 3b = 100
11(5) + 3(15) = 100
55 + 45 = 100
100 = 100 [OK]
verify solution is correct by substituting values into second equation
a + b = 20
5 + 15 = 20
20 = 20 [OK]
Answer:
8x + 10
Step-by-step explanation:
2(4x+5)
2 x 4x = 8x
+
2x5 = 10
8x + 10