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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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Miguel napped for 2 2/5 hours. Danalya napped too. Combined they napped for 3 3/4 hours
SVEN [57.7K]

Answer:

Danalya napped 1 7/20 hours.

Step-by-step explanation:

Rewriting our equation with parts separated

=3+3/4−2−2/5

Solving the whole number parts

3−2=1

Solving the fraction parts

3/4−2/5=?

Find the LCD of 3/4 and 2/5 and rewrite to solve with the equivalent fractions.

LCD = 20

15/20−8/20= 7/20

Combining the whole and fraction parts

1+7/20= 1 7/20

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Find the value of x.<br> 16.2<br> 0.03<br> 38.5<br> 34.8
ella [17]

Hi there!

\large\boxed{x = 38.5}}

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

7 0
3 years ago
An amount of 1,500.00 is deposited in a bank paying an annual interest rate of 4.3% compounded quarterly. What is the balance af
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First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).

$64.50 x 4(quarters in a year) = $258.00 per year

$258.00 x 6 years = $1,548.00

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Question in attachment!​
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Answer:

y = 2x - 3

Step-by-step explanation:

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