The inequality of the form Ax + B ≤ C will be as 8x + 19 ≤ 93. The solution of the inequality is x = 9.25.
<h3>What is inequality?</h3>
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
WE have to write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C.
When A = 8, B = 19 and C = 93
an inequality of the form
Ax + B ≤ C
8x + 19 ≤ 93
8x ≤ 93 - 19
8x ≤ 74
x = 9.25
Therefore, The inequality of the form Ax + B ≤ C will be as 8x + 19 ≤ 93. The solution of the inequality is x = 9.25.
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The vertex will be when the velocity is equal to zero:
df/dx=-12x+24 (using the power rule for differentiation)
df/dx=0 only when:
-12x+24=0 add 12x to both sides
12x=24 divide both sides by 12
x=2, we find the y value to be:
y(2)=-6(2^2)+24*2-20
y(2)=-24+48-20=4
So the vertex is the point (2,4)
And the axis of symmetry is the line x=2
Now if you do not yet do calculus...
The vertex will occur midway between the two zeros.
6x^2-24x+20=0 (using the Quadratic Formula for simplicity)
x=(24±√96)/12
x≈(1.1835, 2.8165)
Now the vertex occurs at the average of the zeros...
x=(1.1835+2.8165)/2=2 (as we saw earlier)
y(2)=4
Vertex is at (2,4) and axis of symmetry is the vertical line x=2
You would need to take 500 * .52 = 260 next take 260 * .25 to find how many cats like fish which equals 65, the probability that it likes fish and it sleeps inside can be found by taking .52 * .25 = .13 so there would be a 13% chance of picking a cat that sleeps indoors and likes fish, 435 cats dont like fish found by taking 500-65=435 and finally to find how many cats sleep outside take 500-260=240 then take 240 * .625 = 150 then 240-150 = 90 so 90 cats like to sleep outside and like fish thats it!=) Hope this helps!
Answer:
16 cm
Step-by-step explanation:
1.6 m = 160 cm
Model length = 160 / 10 = 16 cm