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SCORPION-xisa [38]
3 years ago
7

Which of the following is the graph of the quadratic function y - x? +10x+16 ?

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Find the vertex:

\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)

Determine if the parabola will open up or down:

a > 0 \\ \\ 1>0

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor y = x^2+10x + 16 to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

y = 0^2+10(0) + 16\\\\ y=16

Hence, C. Graph A best represents the quadratic function y = x^2+10x + 16

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Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall is 60 feet is 0.25 √6
aleksandrvk [35]

Answer:-1)The three sets of approximation of time will be

Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

2)Time by the ball to hit the ground =35.5 seconds

Step-by-step explanation:

Time taken to fall tennis ball from height of 60 feet =  0.25 √60 s

So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60=\frac{0.25\sqrt{60} }{60}s

We know that 1 m = 0.3048 foot

⇒60 m =60×0.3048=18.288 feet

therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot=\frac{0.25\sqrt{60} }{60}\cdot18.288=35.41014\ s

∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)

≈35.41s  (to the nearest hundredth)

≈35.5 seconds(to the nearest tenth)

7 0
3 years ago
A map has a scale of 1/2 inch to 4 miles. The shortest distance between two cities on the map measures 8 inches. If d represents
azamat
The answer would be C because for every 1 inch, would be 8 miles, so we then multiply the inches by 8 to get to 8 inches, so we then multiply the miles by 8 and we get 64 miles.

D = 64 mi.
5 0
3 years ago
Read 2 more answers
Find an equation of a line that comes close to the points listed in the table.
sergey [27]
y=x+2\\x=6\to y=6+2=8\\x=10\to y=10+2=12\\x=12\to y=12+2=14\\x=16\to y=16+2=18\\x=18\to y=18+2=20\\-----------------------\\y=x+3\\x=6\to y=6+3=9\\x=10\to y=10+3=13\\x=12\to y=12+3=15\\x=16\to y=16+3=19\\x=18\to y=18+3=21\\-----------------------\\Answer:y=x+1.5
3 0
3 years ago
B) Express 0.6363......as a rational number in its lowest term. ​
bulgar [2K]

Answer:

\frac{7}{11}

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

Subtract (1) from (2) thus eliminating the repeating digits

99x = 63 ( divide both sides by 99 )

x = \frac{63}{99} = \frac{7}{11} ← in simplest form

8 0
3 years ago
If f(x)=x/2-3and g(x)=4x^2+x-4, find (f+g)(x)
Sergeeva-Olga [200]

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2-3 + 4x²+x+4

= ..........

4 0
3 years ago
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