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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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if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1​
BlackZzzverrR [31]

Step-by-step explanation:

the answer is in the above image

5 0
3 years ago
HELP!!!
Bad White [126]
I hope this helps you





-15+6= -9



-9+6= -3



-3+6=3


add 6
3 0
3 years ago
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What percent is equivalent to 8/40 ? 8% 20% 25% 40%
Nikitich [7]
First you have to get the number on the right 40 to equal 100 so do 40x2=80- +40x1.5= 100

Then do the same thing to the first number 8 so 8x2=16+8x1.5=20

then you have 20/100 right so then that number over 100 is the percent that you get ^-^ 20%
7 0
3 years ago
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Help me to do this please
Tanzania [10]

If x represents the mass of 1 ball in kg, then the balance shows ...

... 6x = x + 9 kg

... 5x = 9 kg

Then 6x is ...

... (6/5)·5x = (6/5)·9 kg = 10.8 kg

0.8 kg = 0.8·1000 g = 800 g

so 10.8 kg is ...

... D. 10 kg 800 g

7 0
3 years ago
4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total
lisov135 [29]

Answer:

The total cost is $95.32.

Step-by-step explanation:

Given:

Total came to $76.75. There is an 8% sales tax and 15% tip.

Now, to find the total cost.

<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>

$76.75 + 8% of $76.75

76.75+\frac{8}{100}\times 76.75

76.75+0.08\times 76.75

76.75+6.14

82.89

The cost after sales tax is $82.89.

Now, <em>the cost after 15% tip:</em>

$82.89 + 15% of $82.89

82.89+\frac{15}{100}\times 82.89

82.89+0.15\times 82.89

82.89+12.43

95.32

The cost after the tip is $95.32.

Therefore, the total cost is $95.32.

8 0
3 years ago
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