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3 years ago

use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y=x^2+x+6

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Answer:

(-1/2, 23/4)

Step-by-step explanation:

Vertex of graph: -b/2a

b=1

a=1

Therefore, -1/2 is your x-value

Solve for y: y=1/4-1/2+6

y=5 3/4 or 23/4

Therefore your vertex is: (-1/2, 23/4)

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Anika [276]

Answer:

x=8,10if this helps then your welcome if not I apologize

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2 years ago

Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56

Deffense [45]

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

8 0

2 years ago

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Given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?

stealth61 [152]

Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

$ 61.34 x 52 = X
$ 3,189.68 = X

Therefore, the annual Federal Tax deduction is $ 3,189.68.

Learn more in brainly.com/question/25225323

8 0

2 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

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2 years ago

What is the value of the 8 in the number 1.982

Lady bird [3.3K]

The answer is 80, because 8 is in the hundreds place which means 80.

3 0

3 years ago

Read 2 more answers