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Black_prince [1.1K]
3 years ago
5

Y=-x squared - 6x -5 what is the vertex and x-intercepts

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0
y=-x ^2  - 6x -5 \\ \\  standard \  form \\ \\y=ax+bx+c \\ \\V(p,q)\\ \\ p=\frac{-b}{2a}=\frac{-(-6)}{-2}=3\\ \\\Delta = b^{2}-4ac =14^{2}-4*1*(-51)=196+204=400 \\ \\q=\frac{-\Delta }{4a} =\frac{-400}{4}=100\\ \\V( 3,100)\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-14- \sqrt{400}}{2}=\frac{-14-20}{2}= \frac{-34}{2}=-17\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-14+ \sqrt{400}}{2}=\frac{-14+20}{2}= \frac{6}{2}=3
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There are 12 cars contesting a race. The first three cars completing the race will be awarded prizes. In how many ways can the p
Sergio039 [100]
There would be 1,320 different ways, just multiply all the possible front runners 12 second runners 11 and third runners 10, 12x11x10=1,320
5 0
3 years ago
there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.
tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0
3 years ago
Please help me pleasee
ryzh [129]

Answer:

<em>x = y = 64° , z = 20°</em>

Step-by-step explanation:

<em>x = y</em> = \frac{180-52}{2} <em>= 64 </em>°

m∠ADC = 52° + x

m∠ADC = 52° + 64° = 116°

<em>z</em> = 180° - 116° - 44° <em>= 20</em> °

7 0
2 years ago
The price of a gallon of unleaded gas has dropped to 2.82 today. yesterday's price was 2.89. find the percentage decrease. round
Artist 52 [7]

Answer :

percentage decrease = {(2.89-2.82)/2.89}x100 = 2.42%

3 0
3 years ago
The side lengths 4, 4, and 10 can form a triangle. True False
velikii [3]

Answer:

false

Step-by-step explanation: ...

7 0
3 years ago
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