Find x for 2x^2-8x-24=0

Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)

sergeinik [125]

Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

7 0

3 years ago

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What is the length of segment AD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

igomit [66]

Answer: 5.83 units

Step-by-step explanation:

Sketching the data above,

Length of segment AD can be computed using Pythagoras rule ;

Where segment AD = hypotenuse

Segment AB = 3 = opposite

Sin Θ = opposite / hypotenuse

Sin 31° = 3 / hypotenuse

Hypotenuse × 0.5150380 = 3

Hypotenuse = 3 / 0.5150380

Hypotenuse = 5.8248120 units

Hypotenuse = 5.83 units

3 0

3 years ago

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Find the area of a space figure is its a rectagle with triangle on each end

vladimir1956 [14]

Formula for surface area of a triangular prism: bh+2ls+lb
(7*4)+2(8*5)+(8*7)
28+80+56
=164 cm^2

5 0

3 years ago

Calculate how much more money does $1000 earn in 8 years compounded daily at 3%,

STatiana [176]

Answer:

To determine the compound interest of a certain investment, the following formula should be used:

X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions

Thus, in the assumption of an investment of $ 1,000 with interest compounded daily at 3% for 8 years, the formula would be the following:

X = 1,000 x (1 + 3/365) ^ (8x365)

X = 1,271.24

On the other hand, in the case of an investment of $ 1,000 with compound interest every 6 months at 3% for 8 years, the formula would apply as follows:

X = 1,000 x (1 + 3/2) ^ (8x2)

X = 1,268.99

6 0

2 years ago

(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the

melisa1 [442]

Answer:

Slope-intercept form of a linear equation: $y=mx+b$

where:

$m$ is the slope
$b$ is the y-intercept

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A: y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit: (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

$\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57$

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

7 0

1 year ago