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marishachu [46]
2 years ago
11

What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?

Mathematics
1 answer:
forsale [732]2 years ago
5 0
25 it should be the answer
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Find the distance, c, between (–3, –4) and (1, 2) on the coordinate plane. Round to the nearest tenth.
Anon25 [30]
Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21
5 0
2 years ago
If middle school and senior school are winning football games in the ratio 3:9 . If the Middle school won 17 games, calculate ho
Helen [10]
The Middle school won 17 games so the senior school won 51 games

4 0
3 years ago
Find the x-values that are solutions of the equation 5cot^2x-15=0
julia-pushkina [17]
First solve for the trig function 'cot'
cot^2 x = \frac{15}{5} = 3

Next take the sqrt of both sides (include plus/minus)
cot x = \pm \sqrt{3}

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}
3 0
3 years ago
What is the answer to all of these?
4vir4ik [10]
810000\\
0.000621\\
3040000000\\
0.0000043\\
0.00172\\
58100000\\
0.0965\\
6083
3 0
3 years ago
The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would t
Fofino [41]

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

f(x)=700(1+0.096)^{x}

Compute the value of f (x) for <em>x</em> = 45.4 as follows:

f(x)=700(1+0.096)^{x}

       =700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

5 0
3 years ago
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