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STALIN [3.7K]
3 years ago
5

What is 4x +12=20 proof

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0
4x+12=20
-12 -12
——————
4x=8
divide by 4 on both sides
x=2
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What are the features of the parabola modeled by the equation f(x) = x2 - 114x ?
notsponge [240]

Answer:

Answers are in bold type

Step-by-step explanation:

f(x) = x^{2} -144x

The parabola opens up, so has a minimum at the vertex.

Let (h, k) be the vertex

h = -b/2a = - (-144)/2(1) = 57

k = 57^2 - 144(57) = 3249 - 6498 = -3249

Therefore, the vertex is (57, -3249)

The minimum value is -3249

The domain is the set of real numbers.  

The  range = {y | y ≥ -3249}

The function decreases when -∞ < x < 57  and increases when 57 > x > ∞

The x - intercepts:  x^{2} -144x = 0

                                x(x - 114x) = 0

                                x = 0 or x = 114

x-intercepts are (0, 0) and (0, 114)

When x = 0, then we get the y-intercept.  So, 0^2 - 114(0) = 0

y-intercept is (0, 0)

3 0
3 years ago
Write an expression to represent the product of 6 and the square of a number plus 15.
Elenna [48]

Answer:

Step-by-step explanation:

6(x²+15)

3 0
3 years ago
Read 2 more answers
Solve for c.<br><br>Give an exact answer.<br><br><br>0.2(10−5c)=5c−16
Zielflug [23.3K]
C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable
5 0
3 years ago
A new electric car uses 7.3% of its battery to drive 6.4 miles, at that rate how many miles can you drive using 100% of the batt
Natali [406]

Answer:

83.2 miles

Step-by-step explanation:

what i had to do was multiply 7.3 by 13 and that was 94.9 that was as close as i could get it to 100 so i then multipled 6.4 by 13 and got 83,2 miles

5 0
2 years ago
Is the line through points P(2, –5) and Q(–5, –1) parallel to the line through points R(5, 4) and S(–2, 5)? Explain.
Irina-Kira [14]

Answer:

the answer is No

Step-by-step explanation:

Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.

Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7

3 0
3 years ago
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